An Olympic-sized pool, which holds 660,000 gallons of water,
is only 63% full. The pool maintenance company adds more
water, filling the pool to 90% full. How many gallons of water
did they add?
P
7.AR 3.1
a
244 200
178 200
B) 594 000
415.800
134
Answers
Answer:
178,200
Step-by-step explanation:
You want to know the number of gallons added to a 660,000 gallon pool to raise it from 63% full to 90% full.
IncreaseThe increase from 63% to 90% is an increase of ...
0.90 -0.63 = 0.27
of the capacity of the pool. That fraction of the capacity is ...
0.27 × 660,000 gallons = 178,200 gallons
The maintenance company added 178,200 gallons.
Related Questions
What is the probability of getting 5 out of 20 numbers?
Answers
Answer:
Step-by-step explanation:
The number of events is 5 (since there are 5 red marbles), and the number of outcomes is 20. The probability is 5 ÷ 20 = 1/4. You could also express this as 0.25 or 25%.
How do you know if it's AAS or ASA?
Answers
To know it's AAS or ASA check, In ASA, the side is in between the two angles on the triangle i.e Its included side. In AAS, the S is listed at the end to indicate that the side is not in between the angles i.e it's not include side.
AAS (angle, angle, side) :AAS stands for "Angle, Angle, Side" and means that there are two triangles whose two angles and sides that are not included are known to be equal. Triangles are congruent if two angles and not included sides of a triangle are equal to the corresponding angles and sides of another triangle.
ASA (Angle, Side, Angle) :
If two triangles are congruent, all three corresponding sides are congruent and all three corresponding angles are congruent. Triangles are congruent if two corresponding pairs of angles and the sides between them are known to be congruent. A triangle is congruent if two pairs of corresponding angles are congruent and the sides involved are also congruent. This criterion is known as Angle Side Angle (ASA). Another criterion is the angle-angle-side (AAS), which is known to congruent two pairs of angles and an absent side.
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Which unit would you ue to meaure the amount of water in a bathtub?
fl. Oz. Kg
mL
L
Answers
Answer:
Liters would be the better unit of capacity for the amount of water in a bathtub.
Step-by-step explanation:
Answer: Liters would be the better unit of capacity for the amount of water in a bathtub.
Step-by-step explanation:
You flip a fair coin.
What is P(tails)?
If necessary, round your answer to 2 decimal places.
Answers
The probability to get tails is 0.50.
What is rounding 2decimal place?
The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.
The probability of an event is the ratio of the number of outcomes of the required event to the number of total outcome.
In a coin, there are two parts in coins that are tails and heads.
The total number of possible outcomes is 2.
The number of tails of a coin is 1.
The probability to get tails is = 1/2
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The table shows three unique, discrete functions.
Which statements can be used to accurately compare the functions? Select two options.
g(x) has the lowest minimum.
f(x) has the greatest maximum.
All three functions have a y-intercept.
All three functions have an x-intercept.
The domain of all three functions is the s
Answers
We are aware that a discrete function is one that satisfies the criteria for a function and has a countable domain (represented as a collection of disconnected points) (each input has at most one output). Many inputs in discrete functions won't have any outputs.
According to the inquiry,
All three of the functions have a y-intercept and, given the facts in the question, f(x) is the highest maximum.
The largest maximum of the three functions—g(x), f(x), and f(y)—has an x-intercept.
Three distinct discrete functions are displayed in the table.
f(x)minimum: 1 g(x)minimum; -4 12 h(x)minimum-5; as a result, f(x)maximum: 10 g(x)maximum; 3 12 h(x)maximum; 12 f(x)domain; (0, 2) g(x)domain; (-2, 2) h(x)domain; (0, 1) g(x)y-inter (0, -5)
Using the procedures above, we may conclude that f(x) has no x.
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5. The watch seller sells a box of
watches for $1,500. Each watch
cost $300. How many watches are
in the box?
Answers
answer- 5 watches
- you divide 1,500 by 300
How do you solve an equation with 5 variables?
Answers
A linear equation, with five variables, has an infinite number of solutions.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Let linear equation:
5 = x + a + b + c + y
In this equation,
there are five variables, x, a, b, c and y.
And the number of equation is one.
That means,
the number of unknowns > the number of equation
5>1.
Substitute the value of 4 variables to find the value of one variable.
Let, we have to find solutions as subject to y.
We so obtain varied values of y when preserving distinct values of x, a, b, c.
Therefore, infinitely many solutions are possible.
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What is the solution of the system of equations 6x 2y 4 9x 3y 12?
Answers
The solution of the given system of equations 6x + 2y = 4 , 9x -3 y = 12 is equal to x =1 and y = -1.
As given in the question,
Given system of equations are :
6x + 2y = 4 ____(1)
9x -3 y = 12 _____(2)
Multiply (1) by 3 and (2) by 2 and add equation (1) and (2) to eliminate y variable and get the value of variable x ,
18x + 6y = 12
18x - 6y = 24
36x = 36
⇒x = 36 / 36
⇒ x = 1
Substitute value of x = 1 in the given equation (1) to get the value of variable y,
6(1) + 2y = 4
⇒ 6 + 2y = 4
⇒ 2y = 4 - 6
⇒ y = -1
Therefore, given system of equations 6x + 2y = 4 , 9x -3 y = 12 solution is equal to x = 1 and y = - 1.
The above question is incomplete, the complete question is:
What is the solution of the system of equations 6x + 2y = 4 , 9x -3 y = 12?
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In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?.
Answers
7:5 ——> 7+5=12
Since 5 represents the number of failing grades, 5/12 grades are failing grades.
Now, we need to find the number of failing students given a total of 36 students. We can create a proportion and use “x” for the number of failing students.
5/12=x/36
Cross multiply to solve for x:
5•36=12•x
Simplify:
180=12x
Divide both sides by 12 to isolate x:
180/12=x
15=x
Apply the symmetric property:
x=15
This means that 15 students are failing the class. Let’s make sure these two fractions are indeed equivalent by plugging x=-5 back into the equation:
5/12=15/36
.416=.416
Because the quotients are equal, the fractions are proportional.
So, your answer is 15/36 students are failing
A camping store purchases tents from the manufacturer for $185. The camping store then marks up the tents 40% to sell to their customers. What price do the customers pay for the tents?
$74
$111
$259
$296
Answers
Customers pay an amount of $259 for the tents. which is the correct answer would be an option (C).
What is the markup rate?The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.
To find the price that the customers pay for the tents, we need to first calculate the markup on the tents.
The markup is 40% of the purchase price, which is $185. So the markup is: ⇒ 40/100 × $185 = $74.
Now we can add the markup to the purchase price to find the selling price of the tents.
The selling price is :
$185 + $74 = $259.
Therefore, the customers pay $259 for the tents.
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What is the quadratic equation in standard form of a 2 b =- 3 and C =- 6?
Answers
Answer:
2x² - 3x - 6 = 0
Step-by-step explanation:
the standard form of a quadratic equation is
ax² + bx + c = 0 ( a ≠ 0 )
here a = 2 , b = - 3 and c = - 6 , then
2x² - 3x - 6 = 0 ← in standard form
Why is median calculated?
Answers
The Median is calculated because it helps us determine where a dataset's "center" is, the median is a crucial measure to compute. It also helps us determine what a dataset's "typical" value is.
The value that, when a dataset is arranged, falls exactly in the middle is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change. The median is the mean of any two numbers that fall in the middle of a dataset.
What are Mean, Median, and Mode?
Different measures of the center in a set of numerical data include mean median and mode. They each attempt to condense a dataset into a single number that may be used to represent a "typical" data point.
Mean = The result of summing all the data points and dividing by the total number of data points is the "average" value.
Median = Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Mode = The number that appears the most frequently, or the one that does so most frequently.
So, we can say that the Median is generally calculated to find the center of the given dataset.
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What is the value of the discriminant of the equation 3x² 6x 5 0 is?
Answers
The discriminant of the equation 3x² - 6x + 5 = 0 is -24
Given,
The equation; 3x² - 6x + 5 = 0
We have to find the discriminant of the equation;
Discriminant of equation;
Any equation with the formula ax2 + bx + c = 0 and an alpha value of 0 is a quadratic equation. The discriminant is the expression b2 - 4ac for the quadratic equation ax2 + bx + c = 0. The discriminant's value reveals how many roots f(x) has: - The quadratic function has two unique real roots if b2 - 4ac > 0, otherwise it does not.
Here,
a = 3
b = -6
c = 5
Then,
Discriminant, D = b² - 4ac
D = -6² - 4 × 3 × 5
D = 36 - 60
D = -24
That is,
The discriminant of the equation is -24
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How do you check XY coordinates?
Answers
What is 3.14 of a circle?
Answers
Answer: 3.14 means pi
To find your target heart rate, multiply the percentage of how hard you want to work by your ________ and then add your ________.
Answers
To find your target heart rate, multiply the percentage of how hard you want to work by your Maximum heart rate and then add your Resting heart rate
To find your target heart rate, you will need to calculate your maximum heart rate and resting heart rate. Maximum heart rate is calculated by subtracting your age from 220. Resting heart rate is your heart rate when you are completely at rest. Once those two values are calculated, you can use the following formula to find your target heart rate:
Target Heart Rate = [(Percentage of How Hard You Want to Work X Maximum Heart Rate) - (Maximum Heart Rate - Resting Heart Rate)] + Resting Heart Rate
For example, if you are 35 years old, your maximum heart rate is 220 - 35 = 185. If your resting heart rate is 60, you can use the following formula to find your target heart rate if you want to work at 70% of your maximum heart rate:
Target Heart Rate = [(0.7 X 185) - (185 - 60)] + 60
Target Heart Rate = 153 bpm
In summary, to find your target heart rate, you will need to calculate your maximum heart rate and resting heart rate and then use the above formula to determine your target heart rate. Knowing your target heart rate will help you monitor your exercise intensity and ensure that you are working out at the appropriate level for your fitness goals.
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eliminate the parameter t to find a Cartesian equation for: x=t2 y=2+3t x=Ay2+By+C Where A=________ B=__________ and C=________ If you can give step by step help that is GREATLYappreciated!!!
Answers
The cartesian equation for x = t² and y = 2 + 3t is x = (1/9)y² - (4/9)y + (4/9).
Where the value of A, B, and C are 1/9, - 4/9, and 4/9.
The parameter t that we have
y = 2 + 3t3t = y - 2
t = (y - 2)/3
t = 1/3 y - 2/3x = t²
x = (1/3 y - 2/3)²
x = (1/3 y)²- (2 × 1/3 y × 2/3) + (2/3)²
x = (1/9)y² - (4/9)y + (4/9)
The cartesian equation x = (1/9)y² - (4/9)y + (4/9)
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Which expressions are equivalent to
35
+
30
s
−
45
t
35+30s−45t35, plus, 30, s, minus, 45, t?
Answers
The expressions which are equivalent to 35 + 30s - 45t are:
5(7+6s−9t)(−35−30s+45t)×(−1)The correct answer options are options B and C
How to determine equivalent expression?35 + 30s - 45t
Check all options
A. 7⋅(5+30s−45t)
= 35 + 210s - 315t
False
B. 5(7+6s−9t)
= 35 + 30s - 45t
True
C. (−35−30s+45t)×(−1)
= 35 + 30s - 45t
True
D. 10×(3.5+3s−4.5)
= 35 + 30s - 45
False
E. ( 35/2 - 15s + 45/2t) ⋅ (-2)
= (17.5 - 15s + 22.5t) (-2)
= -35 + 30s - 45t
False
Therefore, the equivalent expression is an expression which has an equal value to each other.
Complete question:
Which expressions are equivalent to 35 + 30s - 45t?
A. 7⋅(5+30s−45t)
B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)
D. 10×(3.5+3s−4.5)
E. ( 35/2 - 15s + 45/2t) ⋅ (-2)
choose 2 answers
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Step 1 of 5: Determine the missing value on the vertical axis represented by [?]. Per Capita Personal Income by State for 2004 52000 9[21 20000 State Tables Keypad Answer How to enter your answer
Answers
The complete question should be: What is the per capita personal income for a given state in 2004, represented by the value [?] on the vertical axis of the state table?
The missing value on the vertical axis represented by [?] must be $21,200.
In order to determine the missing value on the vertical axis represented by [?], we need to consider the per capita personal income for each of the states listed in the table. The states are listed in order from highest income to lowest income. The highest-earning state is listed first with a per capita personal income of $52,000. The next-highest-earning state has a per capita personal income of $21,200. Therefore, the missing value on the vertical axis represented by [?] must be $21,200.
To enter this answer, first identify the numerical keypad on the calculator. Then, enter the numerical value of $21,200 (21200) using the keypad. Finally, press the “enter” or “equals” key to submit the answer. This will cause the missing value on the vertical axis to be displayed on the calculator screen.
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find the range of the function f(x) = x^2 - 6x if the domain is (-7, -2, 1)
Answers
The range of the function f(x) = x² - 6x with domain of (-7, -2, 1) is calculated to be (91, 16, -5)
How to find the range for the given domainsThe domain is controlled by the input values. considering the points (-7, -2, 1)
The range is solved using the given function
f(x) = x^2 - 6x
substituting for x in the function
for x = 7
= 7² - 6 * -7 = 91
for x = -2
= -2² - 6 * -2 = 16
for x = 1
= 1² - 6 * 1 = -5
The range is (91, 16, -5)
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What is the value of x in the equation x² 16?
Answers
The value of x in the equation x² = 16 is ± 4
What is the value of x?This is a quadratic equation in one variable.Here, x² = 16
Taking square root on both sides,
[tex]\sqrt{x^{2} } =\sqrt{16}\\[/tex]
Simplifying the radicals,
x = ± 4
Any equation that can be stated as a[tex]x^{2}[/tex] + bx + c = 0, where a, b, and c are coefficients and a 0, is a quadratic equation in x.A quadratic equation in one variable, x, is an equation that can be stated as ax squared plus bx plus c = 0, where the values of a, b, and c are merely constants and the value of a does not equal 0.The degree power of one variable is twice that of another variable, giving quadratic equations their characteristic second degree curve appearance.To learn more about radicals, refer:
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Create a proportional ratio to the given ratio.
14
17
Answers
(well i'll give it my best shot)
14:17
⬇️
let's add 14 and 17 together.
***************
14 + 17 = 31
14 = 14/31 (*fraction*)
17 = 17/31 (*fraction*)
I hope this helps in any way possible.
Merry Christmas (Eve), Happy New Year, and Happy Holidays!
Name: Period: Number Classification Worksheet 1) Re-write each number in the Venn Diagram where it belongs. REAL NUMBERS RATIONAL IRRATIONAL -19 1.2 0 3 INTEGERS VIO 181 3.456 WHOLE -1.48298..... 11+3 NATURAL 2) List all classifications of the number. a) Vio b) -44 c) 3 d) -/11 3) Check all boxes that apply to the number. Real Natural Whole Integer Rational Irrational al 81 b) c) d) 1.2 0 13
Answers
Counting numbers are another name for natural numbers. These are 1, 2, 3, and so forth.
Natural numbers plus zero are whole numbers.
Natural numbers, whole numbers, and the opposites of whole numbers are all considered integers. These numbers range from -3 through -2, -1, 0, 1, 2, 3, etc.
Integers, whole numbers, rational numbers, and numbers that may be expressed as fractions are all considered rational numbers. In this case, fraction [tex]\frac{a}{b}[/tex], where; a and b must both be integers.
All non-rational numbers are categorized as being irrational. These figures cannot be expressed as fractions. This includes decimals like [tex]\pi[/tex], [tex]\sqrt{2}[/tex], and 3.2576352417942 that doesn't end or repeat.
The collection of all rational and irrational numbers, as well as their subsets, is known as the Real Number System.
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fully simplify to one fraction 3x/x-3+ 5/x^2-9
Answers
Fraction (3x)/(x-3) + 5/(x²-9) after simplifying is (3x²+9x+5) / (x²-9).
What is fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Given, fraction expression;
(3x)/(x-3) + 5/(x²-9)
Simplifying,
(3x)/(x-3) + 5/(x²-9)
= (3x)/(x-3) + 5/(x-3)(x+3)
Taking LCM,
= {3x(x+3)+5} / {(x-3)(x+3)}
= (3x²+9x+5) / (x²-9)
Therefore, fraction's simplification is (3x²+9x+5) / (x²-9).
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select the reason that best supports statement 6 in the given proof
Answers
Answer:
C. Subtraction Property of Equality
Step-by-step explanation:
The equation is
m<1 + m<2 = m<2 + m<4
m<1 = m<4
We see that is subtraction property, so the answer is C
How do you indicate an or equal to inequality on a graph for a 2 variable inequality?
Answers
For two variable inequalities which has equal to inequal sign is shown in the graph as a solid line.
What is inequality?An algebraic expression of two variables having equal to inequal sign or inequal sign with it. such as ≥ and ≤ are equal to inequal sign and < and > are inequal sign.
How to solve 2 variable inequalities?The way we solve linear equation is similar to solve the inequalities. The inequalities which have equal to inequal sign ≤ or ≥ is plotted on the graph and identify the boundary with solid line.
hence, we indicate an equal to inequality on a graph for variables by solid line.
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what is the value of the expression
3 1/8 divided by 1 5/8
A 4 3/4
B 3 1/5
C 1 12/13
D 1 1/2
Answers
Answer:
C
Step-by-step explanation:
3 [tex]\frac{1}{8}[/tex] ÷ 1 [tex]\frac{5}{8}[/tex] ( change mixed numbers to improper fractions )
= [tex]\frac{25}{8}[/tex] ÷ [tex]\frac{13}{8}[/tex]
to perform the division
leave first, change ÷ to × , turn second fraction ' upside down '
= [tex]\frac{25}{8}[/tex] × [tex]\frac{8}{13}[/tex] ( cancel 8 on numerator/ denominator )
= 25 × [tex]\frac{1}{13}[/tex]
= [tex]\frac{25}{13}[/tex]
= 1 [tex]\frac{12}{13}[/tex]
How do you arrange the angles of a triangle from smallest to largest?
Answers
If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.
What are angles?Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.
Angles are also produced when two planes intersect.
These are what are known as dihedral angles.
Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.
Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.
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What is the median of the number 445 767 712 and 3?
Answers
The Median for the following data 3 445 712 767 will be 578.5.
One measure of central tendency is the median. The median of a set of numbers is its midway value. It splits a sample of given data into the upper and lower halves. A minimum of half of the observations are above the median and a minimum of half are below it.
When there are exactly even numbers of observations in a data collection, the median can be calculated as follows:
sorting of the sample data in ascending or descending order.
If there are an even number of observations (let's say n), identify the (n/2)nd and [(n/2) + 1] th observations.
The average of the top two observations is the same as the median of the data given (as determined in step 2).
Here n = 4, So [4/2 + (4/2)+1}/2, So the median will be 578.5.
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In 2010, the population of a city was 193,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 3%. How much did the population decrease from 2015 to 2020, to the nearest 100 people?
Answers
Answer:
6138
Step-by-step explanation:
First, we have to find the population of the city in 2015
6% = 0.06
193,000 times 0.06 = 11580 people increase
We know it is increasing, so we have to add them
193,000 + 11580 = 204580 people in 2015
Now let's find the 3% decrease
3% = 0.03
204580 times 0.03 = 6137.4
So, about 6138 people decrease from 2015 to 2020