A rectangular pool has a perimeter of 72 feet. The equation below shows
the relationship between the length, L, and the width, W, of the pool.
2L + 2W = 72
The width, W, of the pool is 12 feet. What is the length, L, of the pool?
A. 25 feet
B. 24 feet
C. 22 feet
D. 12 feet
Answer:
2L + 24 = 72
2L = 72-24
L = 48 ÷ 2
= 24 feet
A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms
part two thinking a number between 1 and 10 but doble the money!
What is 2 divided by 1/7
Answer:
The answer is 14
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
Complete the multiplication and the equation becomes
The two fractions now have like denominators so you can add the numerators.
there....
The solution of the expression ''2 divided by 1/7'' is 14.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
2 divided by 1/7
Now it can be written as,
2 divided by 1/7
[tex]2 \div \dfrac{1}{7}[/tex]
[tex]2 \times 7[/tex]
[tex]14[/tex]
Therefore, the solution of the expression is 14.
To learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
volume=------------cm^3
Answer:
8586.7cm^3
Step-by-step explanation:
We can denote the side of the base square as "x" in cm
We can also denote the height as "y" in cm
(x^2 * y) = V(x,y)
The surface area can be written as
(x^2 + 4xy = 2000)
We can make "y" as subject of the formula
4xy = 2000 - x^2
y=( 2000 - x^2)/ 4x----------eqn(*)
Substitute "y" into V(x,y)
(x*y)= x^2 * (2000-x^2)/4x = V(x)
We can divide the numerator by the denominator
y= x^2 (500/x - x/4)----------eqn#)
We can take the derivatives
V'(x)= 500 - 3/4x^2
If we set V'(x)=0 we have
500=3/4x^2
2000=3x^2
x^2=666.7
x=√666.7
x=25.8cm
From eqn(*)
y=( 2000 - x^2)/ 4x
y=(2000 - 25.8^2)/(4×25.8)
y=12.9cm
(x^2 * y) = V(x,y)
25.8^2 × 12.9
V(x,y)= 8586.7cm^3
Hence find the largest possible volume of the box is 8586.7cm^3
Write an integer for: A bank deposit of $175
Answer:
175
Step-by-step explanation:
A deposit is adding money to the bank, so the integer will be positive.
That makes our integer: 175
please help me thanks
Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check
She needs to score AT LEAST 19 points
Step-by-step explanation:
24 + 21 + 20 + 19 = 84
84 ÷ 2 = 21
what is the slope on
Answer:
take a pic of the graph
Step-by-step explanation:
Match the following items. Given: ABC AC = BC Prove: 3 = 1
Answer:
Step-by-step explanation:
H
Can u help me plz fast
Answer:
the answer is smallest to biggest
Step-by-step explanation:
A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y
Answer:
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
Step-by-step explanation:
From the question:
Let cost of:
large candles = x
Small candles = y
A customer at a store paid $96 for 5 large candles and 7 small candles.
Hence:
5x + 7y = 96...... Equation 1
At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies
Hence:
4x + 8y = $96 - $8
4x + 8y = 88..... Equation 2
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
what is the midpoint of the segment shown below ?
Zucchini weights are approximately normally distributed with mean 1.2 pound and standard deviation
0.27 pound. What is the probability that a zucchini weights less than 1 pound?
Answer:
The one with u-o, u, u+2o
Step-by-step explanation:
What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:
Answer:
6
Step-by-step explanation:
6 is the slope of the function
Solve the system by graphing 3x+y=4 and x-y=4
giving 15 points
SCATTER PLOT RELATIONSHIP
Answer:alla
Step-by-step explanation:
Answer: As the time spent training increases, the time to run 100m decreases.
Step-by-step explanation:
The scatterplot shows a negative correlation. Thus, as x increases, y decreases. Since x is training time and y is 100m time, the second option would be the appropriate response.
The population of Whoville is given by the LaTeX: y=56,000\left(1.03\right)^xy = 56 , 000 ( 1.03 ) xwhere x is the years since 2010.
a) What was the population in 2010?
b) What is the population in 2020?
c) When will the population reach 100,000?
Answer:
Step-by-step explanation:
(a) 56000*1.03^0 = 56000
(b) 56000*1.03^10 = 75259
(c) 56000*1.03^x = 100000
1.03^x = 1.7857
x = 19.6
So that will happen in the 2nd half of 2029
I need help for math plz :(
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
What is the measure of DA? 15 90 105 165
Answer:
D. 165
Step-by-step explanation:
if A+n=180
75+90+n=180
165+n=180
n=180-165
n=15
A+n=180
A+15=180
A=180-15
A=165 (D)
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
A painter uses 1.5 gallons of paint to cover 3/4 of a wall. At this rate, how many gallons of paint does it take to paint the entire wall?
Answer:
[tex]6[/tex]
Step-by-step explanation:
if
[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]
how many times does 12 go into 60?
Answer:
5 times
Step-by-step explanation:
please help me asap, i was absent the day we learned this and haven't been able to pick it up
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
the answer is c took this before
The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.
Answer:
1) dA/dt = -21 cm²/s and Area is decreasing
2)dP/dt = 0 and perimeter is constant
3) dD/dt = 21/13 cm/s and diagonal is increasing
Step-by-step explanation:
We are given that;
length l of a rectangle is decreasing at a rate of 3 cm/sec.
Thus, dl/dt = -3 cm/sec
Also, the width w is increasing at a rate of 3 cm/sec. Thus;
dw/dt = 3 cm/sec
When l=5 cm and w=12 cm;
A) Area is given by the formula;
A = lw
The rate at which area is increasing is;
dA/dt = l(dw/dt) + w(dl/dt)
Plugging in the relevant values;
dA/dt = 5(3) + 12(-3)
dA/dt = 15 - 36
dA/dt = -21 cm²/s
This is less than 0.thus, A is decreasing.
B) Formula for perimeter is;
P = 2l + 2w
rate of change of perimeter is;
dP/dt = 2(dw/dt) + 2(dl/dt)
Plugging in the relevant values, we have;
dP/dt = 2(-3) + 2(3)
dP/dt = 0
Thus,Perimeter is constant
C) the length of the diagonal of a rectangle is given by;
D = √(w² + l²)
Rate of change of diagonal is;
dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))
2 will cancel out in numerator and denominator to give;
dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))
Plugging in the relevant values gives;
dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))
dD/dt = (36 - 15)/13
dD/dt = 21/13 cm/s
This is greater than 0.
Thus, diagonal is increasing.
how did you get that answer tho I gotta show my work
William worked 20 hours and earned $215. If he receives a 4% raise, how much will he earn per hour?
A:$8.60
B:$10.75
C:$11.18
D:$14.75
Answer:
it b I think because he earns 5 a hour
Answer:
B: 11.18$
Step-by-step explanation:
By dividing 215 by 20 you get the amount he earns per hour which is 10.75$. By multiplying 10.75 with 1.04, you get B. So B is your answer.
Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16