Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. After 1 minute, there are 2 gallons of water in the pool. He plots the points (0,0) and (1,2) on his coordinate plane. What is the x-value of the point (x, 24)?
Answer:
(12,24)Step-by-step explanation:
Givens
The pool holds 24 gallons.The rate is 2 gallons of water per minute.The line that represents the problem passes through points (0,0) and (1,2).We can deduct the equation that represents this problem using the point-slope formula
[tex]y-y_{1} =m(x-x_{1} )\\y-2=2(x-1)\\y=2x-2+2\\y=2x[/tex]
So, for [tex]y=24[/tex], we have
[tex]y=2x\\24=2x\\x=\frac{24}{2}\\ x=12[/tex]
Therefore, after 12 minutes there were 24 gallons of water in the pool. The right answer is (12,24).
how could i answer this question? "suppose 2 friends want to share 5 cookies evenly. Interpret the remainder in two different ways." please help me
Answer:
4 cookies will be eaten, 2 by each friend, and 1 will be left over, unless they cut it in half.
8-4 (1/8r-3 1/2)
Please solve
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
5.2 Adding up the two equivalent fractions
The cubs won 87 games in 2013 and 75 games in 2014. Find the percent decrease?
To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.
Explanation:To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.
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Help me with number 7 plz
Brittany had 7 rolls of quarters and four extra quarters. She use the equation n = 7q + 4 to n, the number of quarter she had all together. What equation could she use to find q, the number of quarters in each roll?
Brittany can use the equation q = (n - 4) / 7 to find the number of quarters in each roll, based on the total number of quarters she has.
To find the equation that Brittany could use to determine the number of quarters in each roll (q), we can rearrange the original equation to solve for q. Given the equation n = 7q + 4, where n represents the total number of quarters she had, we can solve for q as follows:
n - 4 = 7q, by subtracting 4 from both sides of the equation.
Then, we divide both sides by 7 to isolate q:
q = (n - 4) / 7.
This equation can be used by Brittany to determine the number of quarters in each roll based on the total number of quarters she possesses. It essentially divides the total number of quarters minus the extra quarters by the number of rolls to give the quantity of quarters in each roll.
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Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340
Let x be the number of boys in a family of 4 children. Determine the values of the variable x. please answer.
28 divided by 7 add 2 mutiply 3 equals ?
The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answer:
150.75 cm
Step-by-step explanation:
Given heights,
152.0 cm, 150.75 cm, 149.5 cm, and 149.25,
∵ Calvin is taller than Josh, but shorter than Mark,
The increasing order of heights,
Josh < Calvin < Mark,
Also, Bradley is the tallest,
That is, the height of Bradley is the greater than Josh, Calvin and Mark,
So, the final increasing order of heights,
Josh < Calvin < Mark < Bradley
∵ 149.25 < 149.5 < 150.75 < 152.0
Hence, the height of Mark is 150.75.
Twelve large bottles of water cost $9. How much would 7 bottles of water cost?
A state park has two pools. The olympic size pool holds 8.12 x 105 gallons of water and the smaller pool holds 5.27 x 105 gallons of water. What is the combined capacity of the pools?
we know that
The combined capacity of the pools is equal to the capacity of the olympic size pool plus the capacity of the smaller pool
so
Capacity of the olympic size pool
[tex]8.12*10^{5}\ gallons[/tex]
Capacity of the smaller pool
[tex]5.27*10^{5}\ gallons[/tex]
Adds the two capacities
[tex]8.12*10^{5}\ gallons+5.27*10^{5}\ gallons=13.39*10^{5}\ gallons[/tex]
[tex]13.39*10^{5}\ gallons=1.339*10^{6}\ gallons[/tex]
therefore
the answer is
[tex]1.339*10^{6}\ gallons[/tex]
The combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Further explanation:
Given:
The capacity of Olympic size pool is [tex]8.12\times 10^{5}[/tex] gallons of water.
The capacity of smaller size pool is [tex]5.27\times 10^{5}[/tex] gallons of water.
Concept used:
The combined capacity of water in the Olympic pools and smaller pool is obtained by the addition of both the capacity of the pools.
In the other words combined capacity of pools is equal to the sum of the capacity of water in Olympic pools and the capacity of water in the smaller pools.
Calculation:
Consider the combined capacity of pool as [tex]C[/tex], the capacity of the Olympic size pools as [tex]X[/tex] and the capacity of smaller size pools as [tex]Y[/tex].
Therefore the combined capacity of the pool is obtained as,
[tex]\fbox{\begin\\\ \math C=X+Y\\\end{minispace}}[/tex] .....(1)
Substitute [tex]8.12\times10^{5}[/tex] for [tex]X[/tex] and [tex]5.27\times10^{5}[/tex] for [tex]Y[/tex] in equation (1) to obtain the combined capacity.
[tex]\begin{aligned}C&=(8.12\times10^{5})+(5.27\times10^{5})\\&=(8.12+5.27)\times10^{5}\\&=13.39\times10^{5}\\&=1.339\times10^{6}\end{aligned}[/tex]
Therefore, the combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Learn more:
1. Solution of linear equation brainly.com/question/1682776
2. Volume of object https brainly.com/question/1446243
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Mensuration
Keywords: Capacity, gallons, pools, water, Olympic size, smaller, combined capacity, mensuration, addition.
QUICKLY PLEASE HELP!!!!!!!!!!!!!!
Question 1
Mary uses 3 cups of sugar to make 48 chocolate chip cookies. She has five cups of sugar in her sugar canister. How many cookies can she make?
A. 144 cookies
B. 80 cookies
C. 16 cookies
D. 15 cookies
Question 2
Christmas fudge uses one and a half pound of powdered sugar to make 64 pieces. How many pounds of sugar do we need to make 192 pieces of fudge?
A. 4.5 pounds of sugar
B. 3 pounds of sugar
C. 96 pounds of sugar
D. 128 pounds of sugar
Question 3
Sally has a recipe that needs ¾ teaspoon of butter for every 2 cups of milk. If Sally increases the amount of milk to 3 cups, how many teaspoons of butter will she need to add?
A. 3/8 or 0.375 teaspoons of butter
B.8/3 or 2.66... teaspoons of butter
C.3/2 or 1.5 teaspoons of butter
D.9/8 or 1.125 teaspoons of butter
How do you find and use the greatest common factor of two whole numbers
The greatest common factor of two whole numbers can be found by an example given.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).
For example;
we have the 52, and 24, for a number that can go into both that is the largest possible for my example
That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.
Therefore, the greatest common factor of two whole numbers can be found by an example given.
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Evaluate the expression 14x + y when x = 11 and y = 20.
The 16 pound turkey cost $14.24 what was the price per pound
Tiffany put a $550 item on layaway by making a 15% down payment and agreeing to pay $20 a month. How many months sooner would she pay off the item if she increased her monthly payment to $80?
Sasha is determining the number of pencils in her math class. Sasha is collecting what kind of data?
Answer:
im on the same thing but i think the answer is bivariate
Step-by-step explanation:
Drag the numbers to order them from least to greatest.
Answer:
-4 1/2, -1/2, 1/4, 2/3, 2 1/3
Step-by-step explanation:
Given the numbers in the order below;
-1/2, 1/4,2/3,-4 1/2, 2 1/3
Firstly we will convert this fractions to percentage.
For -1/2;
-1/2×100 = -50%
For 1/4;
1/4×100 = 25%
For 2/3;
2/3×100 = 66.7%
For -4 1/2 = -9/2
-9/2×100 = -450%
For 2 1/3 = 7/3
7/3×100 = 233.1%
Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)
During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;
-450%, -50%, 25%, 66.7%, 233.1%
According to their fractions will give us;
-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)
Please answer All!!! (first part)
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?
8,473,227 round to the nearest 100,000
Find the circumference of the circle in terms of pi.
A. 39 in
B. 1521 in.
C. 78 in
D. 156 in
The circumference of the circle with radius [tex] r [/tex] is given by [tex] P=2\pi r [/tex]. When [tex] r=39\;in [/tex],
[tex] P=2\pi (39)\\
P=78\pi \;in [/tex]
Correct choice is (C).
Answer:
Option C is correct
78 π inches
Step-by-step explanation:
Circumference (C) of a circle is given by:
[tex]C = 2 \pi r[/tex] .....[1]
where, r is the radius of the circle.
As per the statement:
From the given figure;
radius of the circle(r) = 39 in.
Substitute this value in [1] we have;
[tex]C = 2 \cdot \pi \cdot 39 = 78 \pi[/tex]
Therefore, the value of circumference of the circle in terms of pi is, [tex]78 \pi in.[/tex]
Which table represents a function.
Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer
Which mixed number and improper fraction are represented by the point M on the number line?
A.
B.
C.
D.
write a rule for the linear function in the table.
a. f(x) = -3x - 4
b. f(x) = -1/3x - 4
c. f(x) = x - 7
d. f(x) = 3x + 4
Answer:
i dont know
Step-by-step explanation:
Divide.
−10÷5
Drag and drop the correct number into the box to complete the sentence.
The quotient is .
Solve for y in terms of x 2/3y-4=x
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3y - 4 = x
2/3y = x + 4
y = 3/2(x) + 4*3/2
y = 3/2x + 6
hence the answer is y = 3/2x + 6
hope this helps
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?