Answer:
false
Step-by-step explanation:
A family wants to make an addition to a deck that extends off the back of their home. The current deck is 400 ft2. The addition will be 18.75 ft in length and 15 ft wide. What will be the total area of the deck once the addition is complete?
A: 681.25 ft2
B: 433.75 ft2
C: 281.25 ft2
D: 118.75 ft2
Answer:
[tex]681.25ft^2[/tex]
Step-by-step explanation:
The total area of the deck can be found with
[tex]A_t=A_0+A_a[/tex]
where
[tex]A_t[/tex] = total area of the new deck
[tex]A_0[/tex] = area of the original deck
[tex]A_a[/tex] = area of addition
The area of the addition can be found with
[tex]A_a=lw[/tex]
where
[tex]l[/tex] = length of addition
[tex]w[/tex] = width of addition
So,
[tex]A_t=400ft^2+(18.75ft*15ft)\\A_t=400ft^2+281.25ft^2\\A_t=681.25ft^2[/tex]
Dr. Bert Vogelstein and his partners study the causes of cancer. In 2017, they published a study of 32 types of cancer. The study concluded that most cancer cases are caused by DNA replication errors. In fact, 66% of the cancer cases they studied were caused by random DNA replication errors. Environmental factors such as diet, sunburns, and smoking caused 29% of the cancers. The last 5% of cancers in the study were caused by inherited factors. Other researchers study the effects of small changes in the DNA sequence. These small changes trigger changes to genes. Genes that differ by a single nitrogen base are called SNPs (pronounced “snips”). SNPs cause many different disorders. What is true of all genes? A. They use the same kinds of tRNA during protein synthesis. B. They have the same DNA sequence. C. They have the same mRNA sequence. D. They code for proteins with the same amino acid sequence.
A true statement for all genes , given Dr. Bert Vogelstein study on cancer , is D . They code for proteins with the same amino acid sequence .
What do all genes share in common ?Genes need a code in order to be able to produce proteins . The genetic code is the code that converts the data stored in DNA and RNA into organized amino acids and proteins . Additionally, every living thing has the same genetic code .
The reason for this, according to scientists, is that every single living organism , has a common evolutionary history .
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if you depsoit $1000 at 100% simple interest, what will your ending balance be after one year
Answer:
$2,000
Step-by-step explanation:
A=P(rincipal)R(ate)T(ime)
1000*1*1=1000
1000(principal)+1000(interest)=2,000(total)
-3x-4y=-1 3x-y=-4 elimination
Answer:
(- 1, 1 )
Step-by-step explanation:
- 3x - 4y = - 1 → (1)
3x - y = - 4 → (2)
add (1) and (2) term by term to eliminate x
0 - 5y = - 5
- 5y = - 5 ( divide both sides by - 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (2)
3x - 1 = - 4 ( add 1 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
solution is (- 1, 1 )
When constructing a perpendicular bisector of a segment, why should you make arcs with the same radius from each endpoint? Select the true statement.
a. this makes the arcs perpendicular to each other
b. this makes the arcs equidistant from each other
c. this makes the intersections of the arcs equidistant from the endpoints
d. this makes the arcs parallel to the segment
When constructing a perpendicular bisector of a segment, you should make arcs with the same radius from each endpoint as D. this makes the arcs parallel to the segment
What is a perpendicular bisector?A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90-degree angle.
A line segment known as a perpendicular bisector divides a straight line segment into two congruent or equal segments. At the exact midpoint of the line segment, they divide it. The arcs with the same radius from each endpoint is important as this makes the arcs parallel.
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Hehe. Suppose 3 < a < 4 and 4
If 3 < a < 4 and 4 then, 3 < a ≤ 4 is the relationship.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, A number 'a' which is 3 < a < 4 and 4.
This implies that the number 'a' is less than or equal to 4.
∴ 3 < a ≤ 4.
Q. Suppose 3 < a < 4 and a is also equal to 4, write this statement in inequality form.
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Graph g(x) = -3x + 9 and identify its x-intercept.
(0, 3)
(0, 9)
(3, 0)
(9,0)
On a graph of g(x) = -3x + 9 the x - intercept is identified to be
What is x - intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
It is x - intercept where the line crosses the x axis and y intercept where the line crosses the y axis
How to identify the intercept from the graphOn the graph, the point where the line crosses the x axis is noted and written in ordered pair in the for (a, b)
Where a represents values in the x direction and y are values in the y direction
From the graph, a = 3 and b = 0
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Answer:
The answer is C. (3, 0)
Help me solve it the answer
The required top of the ladder from the ground is 7.14 ft.
What is a right angle triangle?A triangle is said to be right-angled if one of its internal angles is 90 degrees, or if any angle is a right angle.
To find the length in right angle triangle, use Pythagoreans theorem,
(hypotenuse)² = (base)² + (height)²
Given that,
The length of the ladder = 10 ft.
The distance of the house from the bottom of the ladder = 7 ft.
Let the length of the top of the ladder from ground is x ft.
To find the height of the ladder from the ground,
Use Pythagoreans theorem,
(hypotenuse)² = (base)² + (height)²
(10)² = (7)² + (x)²
100 = 49 + x²
x² = 100 - 49
x² = 51
x = 7.1414
or x = 7.14 ft
The top of the ladder from the ground is 7.14 ft.
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Triangle BCD with vertices B(2, -1), C(4, 1), and D(5,-2):
scale factor = 3, centered at the origin
Answer:
To find the coordinates of the vertices of triangle BCD after it is scaled by a factor of 3, centered at the origin, you would first need to find the coordinates of the vertices of the triangle when it is centered at the origin. This can be done by subtracting the coordinates of the original centroid, which is the point (3.33, -0.66) for triangle BCD, from the coordinates of each vertex. So the coordinates of vertex B would be (2 - 3.33, -1 + 0.66) = (-1.33, -0.34), the coordinates of vertex C would be (4 - 3.33, 1 - 0.66) = (0.67, 0.34), and the coordinates of vertex D would be (5 - 3.33, -2 + 0.66) = (1.67, -1.34).
To scale the triangle by a factor of 3, you would multiply the coordinates of each vertex by 3. So the coordinates of the scaled triangle would be (-3.99, -1.02) for vertex B, (2.01, 1.02) for vertex C, and (5.01, -4.02) for vertex D.
Therefore, the coordinates of the vertices of triangle BCD after it is scaled by a factor of 3, centered at the origin, would be (-3.99, -1.02), (2.01, 1.02), and (5.01, -4.02).
I just need help with this one
The spending would reach a figure of 1868 billon in the year 2031.
When would the spending reach 1868 billion dollars?We know that we can be able to use a function to be able to show the relationship between variables and it can also serve as a model. In this case, we are modelling the spending by the use of the equation;
y = 1.48x^2 - 25.23x + 416.91
Let x be the number of years since 1990. Then we have that;
1868 = 1.48x^2 - 25.23x + 416.91
1.48x^2 - 25.23x - 1451.1 = 0
When we solve the quadratic we have;
x = 41
In 41 years after 1990, the government spending would reach 1868 billon and that would be in 2031.
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In a chi-square test for ________________ of proportions, we test whether different populations have the same proportion of individuals with some characteristic.
In a chi-square test for homogeneity of proportions,we test whether different populations have the same proportion of individuals with some characteristic.
What is chi-square test for proportions?Used to test whether different populations have the same proportion of individuals with a particular trait. Suppose we have three populations with four mutually exclusive characteristics. Randomly sample each population and create a crosstabulation or frequency table of the traits you are measuring. If you want to test whether there is an association between a population and a trait (for example, whether the population has a high frequency of one trait), perform a chi-square test to see if the result is significant must be confirmed.
If the chi-square test is significant, it only tells us that there is some relationship between the population and the trait, not how they are related. Also, not all traits need to be population related. For example, the chi-square test can be considered significant even if features A and B have very different distributions, and C and D have very different distributions, for different populations. If you want to measure whether a particular trait is influenced by the population, use an equal proportions test (I call it the z-test, or prop.test() in R) for exactly that trait. You can do. In other words, if the chi-square test reveals a significant relationship, it is appropriate to use prop.test() to more accurately determine the nature of the relationship between the two sets of categories.
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can you find the exact circumference of a circle when you multipy the diameter by 22/7? explain
When you multiply the diameter by 22/7, you find the approximate not exact circumference of a circle.
What is the Circumference of a circle?
The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by it.
Pi ( written as the Geek letter π) is a universal constant found by dividing the circumference of a circle by its diameter. So if you measure the diameter of a circle you can calculate its circumference by multiplying by π.
Circumference = π * diameter.
It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.
For example:
What is the circumference of a circle that has a radius of 7cm?
Approximately 22 cm.
Exactly 7πcm
The ratio between the circumference of a circle and its diameter is π. We commonly write c=2π r, using the radius instead and doubling it.
One is 22/7, which is common in use and the other is 355113 ≈ 3.1415929,
which is less well-known but very accurate for the number of digits you have to remember.
In the given example, we are told that the diameter is 7 cm.
So using the common approximation π ≈ 22/7,
we find that the circumference is approximately:
(22/7)* 7 cm
= 22cm
Hence, when you multiply the diameter by 22/7, you find the approximate not exact circumference of a circle.
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what should i write there can someone help pls
Answer:
9t + 9e is your answer bro
find the mean, variance, and standard deviation for the number of heads when 17 coins are tossed. round your answers to three decimal places.
Factorials and the binomial theorem are utilized in the binomial distribution, a discrete probability distribution. Checking the sample space is the first step in deciding whether or not to use a binomial distribution with a given data set.
The binomial distribution would apply if there were multiple trials of the same experiment and only two outcomes in the sample space.
S=T,H,THT,H,THH,HTH,HHT,HHH in this case.
∴ n(S)=8.
Thus, the probability of each and every outcome is 18.
When tossing three coins, let X be the number of heads.
There can be 0, 1, 2, or 3 heads.
Therefore, X's possible values are 0, 1, 2, and 3.
P(X=0) = P (no head) = P(T) = 18.
P(X=1) = P (getting a single head) = P(HorTHTorH) = 38.
P (X=P (getting 2 P (THH, HTH, HHT)=38.
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Suppose the distributor charges the artist a $50.00 cost for distribution, and the streaming services pay $5.00 per unit. (Note: One unit = one thousand streams)
Model the profit for the total number of streams by answering the questions below:
1. Use the cost for distribution to build the y-intercept. What is the y-intercept?
2. Use the payment per unit to build the slope. What is the slope?
3. What is the equation of this line?
4. After how many streams will the distributor charges be paid?
5. How many streams would it take to profit $950,000?
y-intercept of the function is (0, 50), the slope of the function is 5, the equation of the line is P(x) = 50 + 5x and it would take 189990 streams to profit $950,000.
What does math's intercept mean?The x-intercept and y-intercept are the points where a centre line the x- and y-axes, respectively.
Briefing:Given the following parameters
Fixed price = $50
The rate of change is $5 if streaming providers pay $ 5.00 per unit.
The necessary profit is provided as follows for the entire number of streams:
P(x) = 50 + 5x
The y-intercept is the location where x equals zero.
P(x) = 50 + 5x
P(0) = 50 + 5(0)
P(0) = 50
Thus, the function's y-intercept is (0, 50)
For the slope
mx = 5x
m = 5
Consequently, the function's slope is 5.
Equation of this line is P(x) = 50 + 5x
P(x) = 50 + 5x = 950000
5x = 950000 - 50
5x = 949950
x = 189990
Hence, it would take 189990 streams to profit $950,000.
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Write an equation of the line that passes through (-1, 3) and is parallel to the line y = -3x + 2
Answer:
y -3 = -3(x +1)
Step-by-step explanation:
You want an equation for the line parallel to y=-3x+2 through the point (-1, 3).
Slope-intercept formThe given line is written in slope-intercept form:
y = mx +b . . . . . . . where m is the slope and b is the y-intercept
Matching your equation to this form, we see that ...
m = -3b = 2The parallel line will have the same slope: m = -3.
Point-slope formAnother form of the equation for a line is "point-slope form." That is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Perhaps you can see this would be useful for writing the equation of a line with slope -3 through the point (-1, 3).
y -3 = -3(x +1) . . . . . . . line with slope -3 through point (-1, 3)
The correlation between two scores X and Y is equal to 0.8. If both the X scores and the Y scores are multiplied by 2, the correlation of the transformed scores would be:a) 1.6b) 0.4c) 0.8d) 0.16e) None of these
The correct answer is (C) 0.8. The correlation between two scores X and Y is equal to 0.8. If both the X scores and the Y scores are multiplied by 2, the correlation of the transformed scores would be 0.8.
The correlation between two variables measures the strength and direction of the linear relationship between them. It is calculated as the covariance of the two variables divided by the product of their standard deviations. When both the X scores and the Y scores are multiplied by 2, the covariance and standard deviations of the transformed scores are also multiplied by 2. Therefore, the correlation between the transformed scores is equal to the correlation between the original scores.
In this case, the correlation between the original scores is 0.8, and the correlation between the transformed scores is also 0.8.
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To ride the Metro, riders must pay $0.50 per stop plus a $2.00 ticket fee. If a rider rides the Metro for 6 stops, how much would their total ride be?
The required cost for the ride in the Metro is obtained as $5.
How to calculate the total cost?The total cost can be calculated by multiplying the cost for one unit to the number of units.The cost for one unit is also called as unit rate. This method is based on the unitary method which states that the value of n number of quantities is equal to the product of n and the value of one quantity.
The cost of the ticket is given as $2.
And, the cost per stop is $0.50.
Now, in order to find the total cost of riding for 6 stops take the sum of fixed cost of ticket and the total cost for 6 stops as follows,
The cost of ticket + The cost for 6 stops
= 2 + 6 × 0.50 = 5
Hence, the cost for the total ride of the rider is $5.
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The population for the following district is subdivided by region:
Region 15 has 315 students
Region 16 has 148 students
Region 17 has 221 students
If an organization selects 3 students to represent the district, calculate the standard divisor needed to be eligible for representation of the region.
If an organization selects 3 students to represent the district, the standard divisor needed to be eligible for representation of the region is 228.
What is the standard divisor?The standard divisor is computed as the quotient of the total population divided by the number of representative seats required to be distributed.
The standard divisor explains the number of persons represented by a seat.
Regions Number of Students
Region 15 315
Region 16 148
Region 17 221
Total number = 684
Number of students to represent the district = 3
Standard divisor = 228 (684 ÷ 3)
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CAN SOMEONE PLEAE HELP!!!!
Here’s a picture
Answer: f(x) = 1
Step-by-step explanation:
They tell us what we need to do, we must substitute x for 0 in the original function to find the initial value.
[tex]f(x) = (\frac{1}{4} )^x[/tex]
[tex]f(x) = (\frac{1}{4} )^0[/tex]
[tex]f(x) = 1[/tex]
* Anything raised to the power of 0 is equal to 1.
The perimeter of a rectangle is 38". If the
length is 3" more than the width, find the
width:
9-A 17 1/2"
9-B 8"
9-C
11"
9-D 14 1/2"
Answer:
Length = 11" and width = 8".
Step-by-step explanation:
let L be the length of the rectangle
and w be its width.
Formula (perimeter P of a rectangle) :
P = 2 × (L + w)
================================
Then
L = w + 3
and
P = 2 × (L + w)
= 2 × (w + 3 + w)
= 2 × (2w + 3)
= 4w + 6
Solving the equation P = 4w + 6 for w :
P = 4w + 6
⇔
38 = 4w + 6
⇔
32 = 4w
⇔
w = 32 ÷ 4
= 8
Determining the length L :
L = w + 3
⇔
L = 8 ÷ 3
= 11
Conclusion:
L = 11 and w = 8
Answer:
Width = 8"
Step-by-step explanation:
2(t+w) = 38 Eq. 1
t = w+3 Eq. 2
t = length
w = width
From Eq. 2:
t+w = 38/2
t+w = 19
t = 19 - w Eq. 3
Replacing Eq. 3 in Eq. 2:
19 - w = w + 3
19 - 3 = w + w
16 = 2w
16/2 = w
w = 8
Frm Eq. 2:
t = w + 3
t = 8 + 3
t = 11
Check:
From Eq. 1
2(t+w) = 38
2(11+8) = 38
2(19) = 38
Please help!!!!!!!!!!!!!!!!
The area of each square below is 1 square unit. What is the area of the striped region? if you get it first brainly
The area of the striped region (blue ones with angled strips on them) is equal to 3/4 square units.
How to get the area of the striped region?First, we know that each square below is 1 square unit.
These squares are divided into rectangles of (1/2) by (1/6), then each one of these strips has an area equal to the product between the two dimensions, it gives:
(1/2)*(1/6) = 1/12 square units.
Now we need to count how many of the striped rectangles are, we can see that there are 9 of these, then the area of the striped region is:
A = 9*1/12 square units.
A = 9/12 square units
A = 3/4 square units.
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Pls help i will mark brainliest Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.
y ≥ 0
y ≤ 0
y is greater than or equal to negative 1 over 40
y is less than or equal to negative 1 over 40
The value of y is less than or equal to 0 (y ≤ 0).
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Given:
4y + 1/5 ≤ 4/5
We have to find the value of y.
Subtract 1/5 from both sides,
4y + 1/5 - 1/5 ≤ 4/5 - 1/5
4y ≤ 3/5
Multiply both sides by 1/4
4y x 1/4 ≤ 3/5 x 1/4
y ≤ 3/20
y ≤ 0.15
Hence, the value of y is less than or equal to 0 (y ≤ 0).
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Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where x is the number of years after 1900.
y = -0.0000084x^3 + 0.00194x^2 -0.196x + 7.819
The estimated average annual growth rate of the country's population for 1950 is enter your response here ___________
The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 1.819, -0.1300048 and -1.4474respectively.
What is an equation?Equation: An algebraic expression composed of two expressions with the same value and the symbol "=" in between.
The given equation is
y = -0.0000084x³ + 0.00194x² -0.196x + 7.819
Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.
Difference between 1950 and 1900 is 50.
Put x=50 in the given equation.
y = -0.0000084(50)³ + 0.00194(50)² -0.196(50) + 7.819
y = 1.819
Therefore, the estimated average annual growth rate of the country's population for 1950 is 1.819.
The difference between 1988 and 1900 is 88.
Put x=88 in the given equation.
y = -0.0000084(88)³ + 0.00194(88)² -0.196(88) + 7.819
y= -0.1300048
Therefore, the estimated average annual growth rate of the country's population for 1988 is 0.9985.
Difference between 2010 and 1900 is 110.
Put x=110 in the given equation.
y = -0.0000084(110)³ + 0.00194(110)² -0.196(110) + 7.819
y= -1.4474
Therefore, the estimated average annual growth rate of the country's population for 2010 is 0.2236.
Therefore, population growth rates for a particular nation in 1950, 1988, and 2010 are, respectively, 1.819, -0.1300048 and -1.4474.
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Find the y-intercept of the following equation. Simplify your answer.
y = 10x + 5
y-intercept=
X-intercept =
Answer:
Step-by-step explanation:
To find the y intercept we need to let x=0
y=10*0+5=5 therefore y intercept =5
To find the x intercept we need to let y=0
we get 0=10x+5
We need to solve for x, this means getting x on its own
Take 5 from both sides
0-5=10x+5-5
-5=10x
Divide both sides by 10
gives
-5/10=10x/10
-1/2=x
Therefor x intercept =-1/2
Amy can swim 6 laps in 9 minutes. Each lap is 50 meters.
"At that rate, how many minutes would it take Amy to swim 800 meters? Enter the answer in the box.
minutes
Answer:
I'm pretty sure the answer is 24.024
Step-by-step explanation:
300meters = 9 minutes
300+300=600
2/3 of 300=24minutes
800÷50=16
800÷33.3=24.024 minutes
Answer:
24 minutes----------------------
Since Amy can swim 6 laps in 9 minutes, then it takes:
9/6 = 1.5 minutes to swim one lap.Number of laps in 800 m:
800/50 = 16 lapsTime to swim 16 laps:
16*1.5 = 24 minGiven that the lines are parallel, which statement is true about angles x and y ?
Answer:
a. Angles x and y are supplementary because they are same side interior angles.
Angles x and y are supplementary because they are same side interior angles.
What is transversal?A line that goes through two lines in the same plane at two different points is called a transversal. When determining whether two or more other lines in the Euclidean plane are parallel, transversals play a role. Different kinds of pairs of angles are created when two lines intersect a transversal: alternate angles, corresponding angles, consecutive exterior angles, and consecutive interior angles. If the two lines are parallel, Euclid's parallel postulate states that consecutive interior angles are supplementary, that corresponding angles are equal, and that alternate angles are equal.
Given lines are parallel and cut by a transversal,
and to find the statement for x and y
in figure x and y are interior side of both lines
statement for x and y is
Interior angles on the same side of a transversal are supplementary if it cuts through two parallel lines. Exterior angles on the same side of a transversal are supplementary if it cuts through two parallel lines.
Hence x and y are supplementary angles.
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f(x)=2.836sin (0.0172(x-80)) +12.164 a. Use technology to obtain a printout of the function over its practical domain. Scale and label the axes appropriately. b. Label the maximum, minimum, and inflection points on the graph. You should label the points both in the form (x, f(x)) and (date, f(x)).
(a) The function over its practical domain x = 80±nπ n∈(0, 1, 2, 3,..............)
(b) Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
In the given question, f(x)=2.836 sin(0.0172(x-80)) + 12.164
a. Using technology we have to obtain a printout of the function over its practical domain. Scale and label the axes appropriately.
f(x)=2.836 sin(0.0172(x-80)) + 12.164
f'(x) = 0 at 2.836×0.0172 cos(0.0172(x-80)) = 0
So x = 171.325, 353.976, 536.627, 719.278, .................
f''(x) = -2.836×(0.0172)^2 sin(0.0172(x-80)) = 0
So x = 80±nπ n∈(0, 1, 2, 3,..............)
b. We have to label the maximum, minimum, and inflection points on the graph. We should label the points both in the form (x, f(x)) and (date, f(x)).
Point of maxima = (171.325, 15), (536.637, 15), (901.928, 15),................
Point of minima = (353.976, 9.326), (719.278, 9.328),...................
Inflection point = (80, 0), (262.651, 0), (445.301, 0),..................
Therefore, the graph of the aforesaid function is shown below. The greatest value of the function is 15 and the smallest value is 9.328. Additionally, the graph's values are labelled.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 65 large boxes and 50 small boxes. If the truck is carrying a total of 4250 pounds in boxes, how much does each type of box weigh?
Large box: ___ Pounds
Small box: ___Pounds
The weight of large box will be 45 pounds.
The weight of small box will be 30 pounds.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The combined weight of a large box and a small box is 75 pounds.
And, The truck is transporting 55 large boxes and 70 small boxes.
Total weight of boxes = 4575 pounds
Now,
Let weight of large box = x
And, Weight of small box = y
Here, The combined weight of a large box and a small box is 75 pounds.
So, We can formulate;
⇒ x + y = 75 ...(i)
And, Total weight of boxes = 4575 pounds
So, We can formulate;
⇒ 55x + 70y = 4575 ...(ii)
Solve both equation as;
From (i);
x = 75 - y
Substitute in equation (ii), we get;
⇒ 55(75 - y) + 70y = 4575
⇒ 4,125 - 55y + 70y = 4575
⇒ 15y = 4575 - 4,125
⇒ 15y = 450
⇒ y = 30
And, x = 75 - 30 = 45
Thus, The weight of large box will be 45 pounds.
The weight of small box will be 30 pounds.
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Solve the following inequality using the algebraic approach:
x + 2 > 3x-8
Answer: x<5. Work shown below! :)