Answer:
32 gallons
Step-by-step explanation:
A standard showerhead in Marty's house dispenses 7 gallons of water per minute. If he showers for 8 minutes, he uses:
1 minute = 7 gallons
8 minutes = x
x = 7 × 8 minutes = 56 gallons of water
We are told that:
Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x
The equation for the energy saving shower:
y = 3x
Where x is the number of minutes spent in the shower
For 8 minutes
y = 3 × 8
y = 24 gallons
The gallons of water Marty saved each day with the change in showerheads if he uses the shower for 8 minutes each day is calculated as:
56 gallons - 24 gallons
= 32 gallons
write an equation in slope-intercept form of the line.
Which ordered pair is a solution of the equation y=4x-9
Jerri paid $4.50 for 5 oranges. If p represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represent this relationship?
A. p= 0.9n
B. p= 4.50n
C. p = 1.11n
D. p =22.5n
Answer:
B
Step-by-step explanation:
f(x)=1/2x+3; Find f(8)
Answer:
7
Step-by-step explanation:
1/2(8)+3
4+3
f(8)=7
Evaluate the expression 3x + 2(y-4) when x = 10 and y = 7 (give answer as an integer
Answer:
36
Step-by-step explanation:
Given
3x + 2(y - 4) ← substitute x = 10 and y = 7 into the expression
= 3(10) + 2(7 - 4)
= 30 + 2(3)
= 30 + 6
= 36
Being Human, Inc., recently issued new securities to finance a new TV show. The project cost $35 million, and the company paid $2.2 million in flotation costs. In addition, the equity issued had a flotation cost of 7 percent of the amount raised, whereas the debt issued had a flotation cost of 3 percent of the amount raised. If the company issued new securities in the same proportion as its target capital structure, what is the company's target debt-equity ratio
Answer:
0.3727
Step-by-step explanation:
From the given information
Total costs = Project cost + Flotation cost
Total costs = $35,000,000 + $2,200,000
Total costs = $37,200,000
Amount raised × (1 – fT) = Amount needed after flotation costs
$37,200,000 × (1 – fT) = $35,000,000
1 - fT = $35,000,000 / $37,200,000
1 - fT = 0.9409
fT = 1 - 0.9409
fT = 0.0591
wD + wE = 1
wD = 1 - wE
where;
wD = weight of debt
wE = weight of equity
WAFC = (wD × Debt's fT) + (wE × Equity's fT)
0.0591 = (wD × 0.03) + ( (1 - wD) × 0.07)
0.0591 = [wD × 0.03) + 0.07 - (wD × 0.07)
0.0591 - 0.07 = -(wD × 0.04)
-0.0109 = - (wD × 0.04)
wD = -0.0109 / -0.04
wD = 0.2715
wE = 1 - wD
wE = 1 - 0.2715
wE = 0.7285
The debt-equity ratio = wD / wE
The debt-equity ratio = 0.2715 / 0.7285
The debt-equity ratio = 0.3727
What is the value of log5 125?
O 3
O 5
O 15
O 25
Answer:
I think C sorry if im worng <3
Answer:
=3
Step-by-step explanation:
log5 125= log5 5^3 (125=5^3)
=3 log5 5. (logx^y=ylogx)
=3x1=3. (Loga a=1)
=3
Find the inverse of f(x)=x/4-7
Answer:
[tex]fx^{-1} (x)=4x+28[/tex]
Step-by-step explanation:
Answer: y=4x+28
Step-by-step explanation:
PPPPLLLLZZZZZZ help and plz try
Answer:
Sorry but is it just me or I can't see a question or a photo?
Step-by-step explanation:
try to repost that question and I will help u :)
determine if the triangles are similar. if so, give the scale factor
Answer:
B
Step-by-step explanation:
What is the equation of the line that passes through the point (5,0)and has a slope of -1?
Answer:
y=-1x+5
Step-by-step explanation:
An elephant walks 500 meters in 48 seconds. What is the elephants velocity?
A) 10.4 m/s
B) 0.096 m/s
C) 24,000
Answer:
A
Step-by-step explanation:
500meters/48 seconds = 10.8m/s
Velocity = m/s, so divide meters you have by seconds you have
Answer:
A) 10.4 m/s Hope it helped
Step-by-step explanation:
A dance studio charges all new members a $175application fee plus $20 per month. How much will Stacie pay for a 2 membership
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother. What percent of the baseball cards did he give to his brother?
Answer:
85%
Step-by-step explanation:
Evan had 120 baseball cards. He gave 18 of them to his friend and the rest to his brother.
The number of baseball cards he gave to his brother is :
120 - 18 = 102 baseball cards
The percent of the baseball cards he gave to his brother is calculated as:
(Number of baseball cards given to his brother/ Total number of baseball cards) × 100
= 102/120 × 100
= 85%
The percent of baseball cards Evans gave his brother is 85%
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 742 divided by 61?
700
61
6100
610
Answer:
The first number to subtract is 610
Step-by-step explanation:
In the division of 742 by 61, the first thing to do is to divide 742 by 61 straight and we get 10
So multiplying 10 by 61, we get 610
This is what we proceed to subtract from 742
So the first number to subtract is 610
Answer: 610
Step-by-step explanation:
F (x) = 1/4 (x+3) + 2
Answer:
x=4y−11
Step-by-step explanation:
can some one plzz help me??
help me with this please
Answer:
:-)
Step-by-step explanation:
What is the solution for 5x-7 = 5x
Without graphing, find the slope of the line that goes through
1. (0,5) and (8,2).
2. (2,-1) and (6,1). 1/2
3. (-3,-2) and (-1,-5).
Answer:1/2,-3/2,-3/8
Step-by-step explanation:
The slope of the lines are -3/8, 1/2 and -7/2 respectively.
A linear equation is given by:
y = mx + b
Where y, x are variables, m is the slope of the line and b is the y intercept.
1) The slope (m) of the line that goes through (0,5) and (8,2). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{2-5}{8-0}\\\\m=-\frac{3}{8}[/tex]
2) The slope (m) of the line that goes through (2, -1) and (6,1). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{1-(-1)}{6-2}\\\\m=\frac{1}{2}[/tex]
3) The slope (m) of the line that goes through (-3, -2) and (-1, -5). is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-2}{-1-(-3)}\\\\m=-\frac{7}{2}[/tex]
The slope of the lines are -3/8, 1/2 and -7/2 respectively.
Find out more at: https://brainly.com/question/20799886
please help, brainliest, thanks, five star
Answer:
2(3x + 4)
Step-by-step explanation:
2 x 3x = 6x and 2 x 4 = 8
35 POINTS PLEASE HELP!!!!!! Describe the two types of transformations that occur between function f and function g. (Use words like up, down, left, right, compression or stretch in your answer.)
Answer:
wheres the picture??
Step-by-step explanation:
To solve the inequality x+y>2 , what step must be done
Slope = -1, y -intercept = 8
Answer:
y = - x + 8
Step-by-step explanation:
Assuming you require the equation.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 and c = 8 , thus
y = - x + 8 ← equation of line
What is the image of the point (4, - 7) after a rotation of 180° counterclockwiseabout the origin?
Answer:
(4,-7)
Step-by-step explanation:
if the change in y is 3 t and x is 1 what is the rate of change?
Answer:
the x axis changes
Step-by-step explanation:
Please help Please help
The distance between point C and point D is 10.
Point D is on the 1 and Point C is on -9.
1-(-9)=10.
please try and answer as soon as possible!!!
The tables show the location of four cities relative to sea level. Which city is closest to sea level
A -0.25
B 7/4
C -3/2
D 0.5
Please help!!! I will mark brainless if you answer soon :)
Answer:
-0.25 because it is closest to sea level which is 0 feet.
Step-by-step explanation:
Tomas has $45.00 to purchase favors for a party. If the favors are $3.75 each, how many favors can Tomas buy?
favors
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Is 0.74 bigger or smaller than 3/4- ? Explain how you know.
Answer:
0.74 is smaller
Step-by-step explanation:
we know that 0.74 is smaller than 3/4 because if we made 3/4 int a decimal it would be 0.75, which is bigger than 0.74
Since 75% is greater than 74%, hence 0.74 is smaller than 3/4. This is determined by expressing them as percentages.
In order to determine whether 0.74 is bigger or smaller than 3/4, we will express them both as percentages as shown
0.74 as percentage will be 0.74 * 100 = 74%
For the given fraction 3/4;
= 3/4 * 100
= 300/4
= 75%
Since 75% is greater than 74%, hence 0.74 is smaller than 3/4. This is determined by expressing them as percentages.
Learn more here: https://brainly.com/question/24862040