The ratio of pens Meredith has to ratio of pens Brody has is 2 : 1
The of pencils Meredith has to ratio of pencils Brody has is 1 : 2
How to find comparison using ratio?Ratio refers to the number representing a comparison between two named quantities.
Number of pens Meredith has = 8 pensNumber of pencils Meredith has = 9 pencilsNumber of pens Brody has = 4 pensNumber of pencils Brody has = 9 pencilsComparison of their ratios of pens to pencils:
Ratio of pens Meredith has to ratio of pens Brody has = 8 pens : 4 pens
= 8 / 4
= 2 / 1
= 2 : 1
Ratio of pencils Meredith has to ratio of pencils Brody has = 9 pencils : 9 pencils
= 1 / 1
= 1 : 1
So therefore, their ratio of pens is 2 : 1 and their ratio of pencils is 1 : 1
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How do I know if these are true or false?For #9-12, True or False?9. In the construction of a frequency distribution, it is a not a good ideato have overlapping class limits such as 10 - 20, 20 ÷ 30, 30 - 40.10. It is not important to keep the with of each class the same in afrequency distribution. True11. In construction of a frequency polygon, the class limits are used forthe x-axis. ch12. Data collected over a period of time should be graphed by using apie chart. C
Question 9.
In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.
Let's determine if the above statement is true or false.
A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.
In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.
It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.
Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.
ANSWER:
True.
sarah, the yearbook editor, and mrs. moore, the yearbook sponsor, are reviewing costs to produce the yearbook new yearbook design software costs $800, and it costs $15 to print each yearbook.
A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.
Explain the variables in mathematics?A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).
The price to produce x yearbooks will be 15x.
Additionally, software has a fixed cost of $800.
So the total price would be:
y = 800 + 15x
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PLEASE HELP! I ONLY HAVE A FEW MINUTES!! The amount of money put in the cash register, y, after selling x hotdogs at the snack shack. The slope is 2 1/4 and the y-intercept is 10
Explain what the slope and the y-intercept mean in this situation.
The interpretations are
Slope = Amount per hot dogIntercept = Initial amount of moneyHow to explain the slope and the y-intercept?The slope
From the question, the slope is given as
Slope = 2 1/4
From the question, we have
y = Amount of money
x =Number of hot dogs
This means that the amount of money per 1 hot dog is $ 2 1/4
The y-intercept
From the question, the y-intercept is given as
y-intercept = 10
From the question, we have
y = Amount of money
x =Number of hot dogs
This means that the initial amount of money is $10
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Directions: Determine whether each equation represents a direct variation. If yes, identify the
constant of variation.
Y - 6 =2(x-3)
Answer:
Yes, this equation represents a direct variation equation
constant of variation = 2
=========================================================
Explanation:
Let's solve for y
y - 6 = 2(x-3)
y - 6 = 2x - 6
y - 6+6 = 2x - 6+6
y + 0 = 2x + 0
y = 2x
The equation is in the form y = kx which fits a direct variation equation. The constant of variation is k = 2.
A triangle has side lengths of (10f+6)(10f+6) centimeters, (2f-4)(2f−4) centimeters, and (9g+1)(9g+1) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The formula predicts that the triangle's perimeter will be 12f+9g+3.
What is a triangle?
A triangle is a polygon with three sides and three angles. The triangle has angles that add up to 180 degrees.The perimeter of the triangle is determined by adding together all of its sides.The sides of a triangle are (10f +6) centimetres, (2f-4) centimetres, and (9g+1) centimetres long, respectively.
The expression for the triangle's perimeter will be
P = (10f+6) + (2f- 4) + (9g+1)
P = 12f+9g+3
The formula predicts that the triangle's perimeter will be 12f+9g+3.
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(7a
3
−2a−2)+(−5a+3)
Answer: 14a + 1
Step-by-step explanation:
( 7a x 3 - 2a - 2 ) + ( -5a + 3 )
( 21a - 2a - 2 ) + ( -5a + 3 )
21a - 2a - 2 - 5a + 3
14a + 1
A person placed $4080 in an investment
The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.
As per the given,
Principle amount P = $4080
Rate of interest r = 5.7% = 0.057
Time period t = 4 years.
The formula for total value is given as,
V = P[tex]e^{rt}[/tex]
V = 4080[tex]e^{(0.057\times4)}[/tex]
V = $5124.83
Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".
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The given question is incomplete complete question follows;
please help me I don't get this
Answer:
(10, 1) is a solution to this equation.
Answer: your answer will be (10, 1)
Step-by-step explanation:
i just watch a mathematics video
Solve for x :
ax+b=0 where a,b are any integers
Plus solution please
The solution for x of the given equation ax + b = 0 is x = -b/a.
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given equation,
ax + b = 0
Add -b both side
ax + b - b = 0 - b
ax = -b
Divide by both side
ax/a = -b/a
x = -b/a
Hence "The solution for x of the given equation ax + b = 0 is x = -b/a".
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Class 7. Fractions & decimals
1/2 of 2 3/4
Answer:
11/8 or 1.375
Step-by-step explanation:
2 3/4 => 11/4
1/2 x 11/4 = 11/8
What is the 12th term of the geometric sequence if T10 = -6 and r = 3?
The 12th term of the sequence is:
[tex]T_{12} = T_{11}*r = -18*3 = -54[/tex]
How to find the 12th term of the sequence?For a geometric sequence with a common ratio r and a first term T₁, the equation for the n-th term is:
[tex]T_n = T_1*(r)^{n-1} = T_{n-1}*r[/tex]
Such that the second formula (the right one) is called the recursive formula or recursive relation for the sequence.
We know that r = 3, and T₁₀ = -6, then we can use the recursive relation:
T_{11} = T_{10}*r = -6*3 = -18
T_{12} = T_{11}*r = -18*3 = -54
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lect the correct answer.The equation of a line is y=-3x - 2. What are the slope and the y-Intercept of the line?
Given the equation of a line as shown below :
[tex]y=-3x-2[/tex]To determine the slope and the y - intercept of the line, compare the equation with straight line equation
[tex]y\text{ = mx+c}[/tex]After comparing the equation of a line
[tex]\begin{gathered} m\text{ = slope} \\ c\text{ = y-intercept} \end{gathered}[/tex][tex]\begin{gathered} y\text{ = -3x-2 } \\ y=mx+c \\ m\text{ = -3 } \\ c\text{ = -2} \end{gathered}[/tex]Therefore slope = -3 and y - intercept = -2
Which of these is most commonly a role of the government in the United States economy?
Answer:
The most obvious way the government is involved in the U.S. economy is providing public goods and services like education, military protection, national parks and federal highways.
Step-by-step explanation:
a) The sum of the three dimensions of a cuboid is 48 cm and the ratio among the lengths of its dimensions is 5: 4:3, Find its area. (grade 6)
Answer:
588 cm
Step-by-step explanation:
Tori uses the greatest common factor and the distributive property to rewrite this sum:
24 + 84
What expression does Tori write?
Responses
4(6+21)
, 4 left parentheses 6 plus 21 right parentheses,
12(2+7)
, 12 left parentheses 2 plus 7 right parentheses,
2(24+42)
, 2 left parentheses 24 plus 42 right parentheses,
24(1+4)
, 24 left parentheses 1 plus 4 right parentheses,
Skip to navigation
Answer:
12·(2 + 7)
Step-by-step explanation:
24 + 84
= 12·2 + 12·7
= 12·(2 + 7)
I really need help, I’m struggling with the problem in the picture bellow
Please can someone help me soon
The x and y coordinates of Q are negative according to the transformation rule of a 90 degree counterclockwise rotation about the origin, which is (x, y)→ (-y, x).
C) Both x and y are negative.
A function translation is:When a function is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically. Dilation, reflection, as well as rotation are additional "transformations" of a function that are feasible.
According to the given data:The following is the transformation formula for a 90° counterclockwise rotation about the origin:
(x, y) → (-y, x)
the triangle is then reflected across the x-axis,
the following transformation rule:
(x, y) → (x, -y)
So, we have:
(x, y) → (-y, -x)
From the graph, we have:
Q = (1,2)
So,
the coordinates of Q" are
Q" = (-2, -1)
Both the x and y coordinates of Q " are negative.
Therefore,
the correct answer is option:
C) Both x and y are negative.
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I understand that the question you are looking for is:
Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle P'Q'R' (not shown). Then triangle P'Q'R' is reflected across the x-axis to form triangle P"Q"R" (not shown). What are the signs of the coordinates (x, y) of Point Q"?
A) Both x and y are positive
B) x is negative and y is positive
C) Both x and y are negative
D) x is positive and y is negative
Write as a monomial in standard form.
The monomial in standard form will be written as 5y³x².
A Monomial may be defined as a type of polynomial which contains only one term. For example, 3x², 5x and 6x are called monomials. When written in standard form it is the product of one or more factors which can be a constant coefficient and one factor for each variable in the expression. While writing in standard form the terms having the highest power is written first and then the succeeding powers are written. Here, the expression given is 5x²y³ which is not in standard form. The terms having highest power is y³ so it should be written before the term x² as 5y³x² which will be the required standard form.
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What is the value of x?
Answer:
x = 20°
I hope it helps!
Step-by-step explanation:
80+a=180
a=100
a=2x+3x
100=5x
x=20
40 students and 24 staff members how many is on the same team with same number of students and staff
The number on same team with same number of students and staff is 8.
What is a factor?A factor of a number simply means a number that divides another number without having a reminder.
In this case, there are 40 students and 24 staff members. Therefore, to have same team, we have to find the highest common factor for the numbers.
The highest common factor for 24 and 40 will be:
24 = 2, 3, 4, 6, 8, 12 and 24
40 = 2, 4, 5, 8, 10, 20 and 40
The highest factor is 8 which is the correct answer regarding the question.
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a square has an area of 169 mm2 what is the side of the length area
The side of the square with area 169 mm² is 13 mm.
The side of the square and it's area are related to each other by the following relation -
Area = side². According to the known fact, all the sides of the square are same..
Keep the value of area in formula to find the value of the length of the side of the square
169 = side²
Side = ✓169
Taking square root of the value of area to find the value of the length of the side of the square
Side = 13 mm
Therefore, the length of the side of the square is 13 mm.
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= 18cm
c1 =
cm
XÑ
b1 = 25cm
Material Type
6²
163
c2=
b2 = 40cm
b3 = 55cm
b4 = 75cm
Quantity
c3 =
Total:
cm
Length (total)
Answer:
7.08661
Step-by-step explanation:
a square has side lengths. How long is each diagonal?
Answer:the same as sid length
Step-by-step explanation:all sides are the same
A quadratic function passes through the points (−1,−1), (2,−19), and (3,−33).
What is the equation of the function in standard form?
A) f(x)=−2x^2−4x−3
B) f(x)=−2x^2+4x−3
C) f(x)=−2x^2−4x+3
D) f(x)=−2x^2+4x+3
The quadratic function has an equation of f(x) = -2x² - 4x - 3
How to determine the equation of the functionFrom the question, the ordered pairs are given as
(−1,−1), (2,−19), and (3,−33).
A quadratic function is represented as
f(x) = ax²+ bx + c
Using the point (-1, -1), we have
a(-1)²+ b(-1) + c = -1
So, we have
a - b + c = -1
Using the point (2, -19), we have
a(2)²+ b(2) + c = -19
So, we have
4a + 2b + c = -19
Using the point (3, -33), we have
a(3)²+ b(3) + c = -33
So, we have
9a + 3b + c = -33
So, we have
a - b + c = -1
4a + 2b + c = -19
9a + 3b + c = -33
Using a graphing tool, we have
a = -2, b = -4 and c = -3
Substitute a = -2, b = -4 and c = -3 in f(x) = ax²+ bx + c
So, we have
f(x) = -2x² - 4x - 3
Hence, the equation is f(x) = -2x² - 4x - 3
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Find CX. C(6,-4), X(1, -2)
The value of CX as asked will be √29 when two points are given as (6,-4) and (1,-2) by using the distance formula √((x2-x1)²+(y2-y1)²).
What is point?In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that extends in both directions indefinitely. It has a single length dimension.
What is distance?Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.
Here,
distance formula =√((x2-x1)²+(y2-y1)²)
CX=√((x2-x1)²+(y2-y1)²)
=√((1-6)²+(-2+4)²)
=√(25+4)
=√29
When two points are given as (6,-4) and (1,-2) by the distance formula √((x2-x1)²+(y2-y1)²), the value of CX as asked will be 29.
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Which graph shows the solution to the inequality?
x - 4 ≤ -1
Answer:
[tex]x -4 \leq -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3[/tex]
Answer:
x ≤ 3
Step-by-step explanation:
This is the answer because I say it is
“A falcata is formed by taking a quadrant of a circle and removing a semicircle from it (see diagram).If the radius of the original circle is 2 units long, find the exact area of the falcata.”hello!! please help me out! i’m begging. this assignment is kicking my teeth in!!
step 1
Find out the area of the complete quadrant of the circle (1/4 of the complete circle)
[tex]A=\frac{1}{4}*pi*r^2[/tex]where
r=2 units
substitute
[tex]\begin{gathered} A=\frac{1}{4}*pi*2^2 \\ A=pi\text{ unit}^2 \end{gathered}[/tex]step 2
Find out the area of the semicircle removed
[tex]A=\frac{1}{2}*pi*r^2[/tex]where the radius of the semicircle removed is half of the radius of the circle
so
r=2/2=1 unit
[tex]\begin{gathered} A=\frac{1}{2}*pi*1^2 \\ A=\frac{pi}{2}\text{ unit}^2 \end{gathered}[/tex]therefore
to find out the area of the falcata, subtract the area of the removed semicircle from the area of the quadrant of the circle
The area of the falcata is
A=pi-pi/2=pi/2 unit2
the area of the falcata is pi/2 square unitsA city advertises that the average number of runners over the past two decades in their annual road race is 800.
The difference between the average number of runners and the greatest number of runners is the same as the difference between the average number of runners and the least number of runners. The greatest number of runners in a race was 920.
What absolute value equation can be written to determine the least number of runners, and what is this value?
Enter your answers in the boxes.
Absolute value equation: |x- ___| = ___
The least number of runners in a race was ___
Step-by-step explanation:
Absolute value equation:
[tex] |x - 120| = 920[/tex]
least no of runners = 800 - ( 920 - 800) = 680
1.1 Complete the table.
Length (cm) Length (mm)
4
12
50
88.49
What is the constant of proportionality?
The constant of proportionality in the given representation is 3 .
The proportionality constant is the ratio that connects two given numbers in a connection that is thought to be proportional. The proportionate constant is also known as constant ratio, unit rate, variable of variation, and even rate of change.
The proportionality constant is calculated by a proportionality constant illustration.
Finding the proportionality constant begins with identifying the x and y elements. To figure out the weight to stick ratio, x will stand for size and Y for the number of butter sticks. We use the equations k = y/ x to calculate the proportionality constant.
Given the value of x is 4 and the value of y is 12
therefore using the equation we get
k= 12 / 4 = 3 .
Therefore the complete table will be
length (x) (y)
4 12
50 150
88.49 265.47
Hence the proportionality constant is 3 .
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can someone help me solve this math problem with solution?? TYY! you
Answer: n + 3
Step-by-step explanation:
Solution
n+3
Evaluate
(n 2 +n−6)
(n−2)
Remove the parentheses
n−2n 2 +n−6
Factor the expression
n−2
(n+3)(n−2)
help quick 10 points
Answer:
-x+6
Step-by-step explanation:
the slope is negative because the line is moving down. the y intercept is positive 6 because the line goes through the line (0,6)