1. Let y represent the amount of money earned, and x the number of cars they wash. Then
y = 5x
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
y = 5x - 75
4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for x :
5x - 75 = 0
5x = 75
x = 75/5
x = 15
So the team has to wash at least 15 cars to break even.
Answer:
The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.
Step-by-step explanation:
Pleaseeeee helppppppp
Answer:
Step-by-step explanation:
since the first equation is already simplifies to y = 2x plug in 2x for the y in the second equation and solve
x = -(2x) + 6
x = -2x + 6
3x = 6
x = 2
plug in our x to the original equation
y = 2(2)
y = 4
so our answer is (2,4)
hope this helps <3
Answer:
x = 2
Step-by-step explanation:
If y is 2x, and x is -y + 6, what's x?
So let's use substitution method. Just replace the -y in x = -y + 6 with 2x:
x = -y + 6
x = -2x + 6
add 2x to both sides
3x = 6
divide by 3
x = 2
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
Each of Liam's neighbors pays him the same amount for walking one of their dogs. Last week, he earned $25 for
walking 4 of his neighbors' dogs. Which graph below best represents the linear relationship between x, the number of
dogs Liam walks, and y, the total amount of money he earns for walking them?
Answer:
The options are not shown, but we can craft the graph so you can find the one that matches it.
We know that:
Each neighbor pays the same, let's define this amount as A.
Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:
4*A
And we know that this amount is $25, then:
4*A = $25
A = $25/4 = $6.25
Then we can write the relationship:
y = $6.25*x
where:
y = money that Liam earns.
x = number of dogs Liam walks.
The graph of this line is shown below.
7. Which transformation is not an isometry?
Explanation:
Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.
Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.
The domain of function f(x) is the set of all integers from 0 to 15, and the range of f(x) is the set of all multiples of 5 from 0 to 75. Part A: Which of the following points might be on the graph of(f(x)? O (5, 1) 0 (7, 15) 0 (10, 80) (20, 10) Part B: Which of the following statements must be false about f(x)? Select all that apply. f(0) = 0 $(2) = 1 O O O O O. f(5) = 5 Of(10) = 75 of(15) = 100
Answer:
pt1 = d and pt 2= c and d
Step-by-step explanation:
Answer:
I know for fact part A is correct but I’m iyffy abt part B
Step-by-step explanation:
Hope it helps
please help me im very behind
Answer:
the third one should be it
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet
long. How tall is a man who can cast a shadow that is 14 feet long?
a card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a 9 of spades.
Answer:
1/52
Step-by-step explanation:
To obtain the probability of drawing a 9 of spade from a deck of 52 cards ;
Probability = (number of required outcomes / number of total possible outcomes)
Number of Required outcomes = 1 (there is only one 9 of spade in a deck of 52 cards)
Hence,
P(9 of spade). = 1 / 52
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
h=11.4 in
r=5.1 in
v=3.14*r^2*(h/3)
V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35
There are 100 Takis in a 20 oz bag. Which proportion is written correctly so that you can find the
number of Takis in a 7 oz bag?
Answer: 35
Step-by-step explanation:
20 divided by 7 = 2.8
100 divided by 2.8 = 35
PLSSSSSSSSSSSSSSSSSSSSSS HELP
Answer:
a + (a + 6b)
2a + 6b
(a + 3b)2
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
The winter temperature in London is 5° Celsius. What is that in Fahrenheit?
Answer:
41 Fahrenheit
Step-by-step explanation:
The convertion formula is:
(C × 9/5) + 32 = F
So if we fill in the blanks we get:
(5°C × 9/5) + 32 = 41°F
So the anwser is 41°F
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
2x
+1 = 7
-Z | -1
= [?]
=
2x
3
Answer: nop
Step-by-step explanation:
answer this correctly please
Answer:
8x-25
Step-by-step explanation:
Taylor invested $11,000 in an account paying an interest rate of 3-5% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 14 years?
Answer: 17955
Step-by-step explanation:
The total source voltage in the circuit is 6-3i V. What is the voltage at the middle source
Answer:
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
Step-by-step explanation:
Voltage Sources in Series
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
[tex]2 + 6\mathbf{i}[/tex]
[tex]a + b\mathbf{i}[/tex]
[tex]2 - 5\mathbf{i}[/tex]
The sum of these voltages is:
[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]
Operating:
[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]
We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:
[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
The voltage at the middle source is;
E2 = (2 + 4i) V
From the image, we see the voltage at each point as;
E1 = (2 + 6i) V
E2 = (a + bi) V
E3 = (2 - 5i) V
The given voltages are in series and as such the total voltage will be;
E_t = E1 + E2 + E3
We are told that the total source voltage is (6 - 3i)V. Thus;
(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)
Rearranging gives;
(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)
(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i
(a + bi) = 2 - 4i
The middle source voltage is E2 = (a + bi) V. Thus;
E2 = 2 - 4i
Read more at;https://brainly.com/question/8151005
Helpp me please find the angle (where the question mark is ) 10 pointsss
Answer:
#9= 100 degrees but I'm not sure about #10.
Step-by-step explanation:
We know that a triangle has a total of 180 degrees.
So we add 16, 34, and 30
16+34+30=80
Then we subtract the amount from the total degrees of a triangle.
180-80
= 100 degrees
I hope this helps:)
Brian is spending money at the average rate of $3 day. After 14 days he has $68 left. The amount left depends on the number of the days that have passed. How much money did brian start with
9514 1404 393
Answer:
$110
Step-by-step explanation:
At an average rate of $3 per day, in 14 days Brian will have spent ...
($3/day)(14 days) = $42
If he has $68 left, then he must have started with ...
$68 +42 = $110
how to give points
nsdfjfjrs d,nvcnjsd
Answer: answer questions
Step-by-step explanation:
Answer:
tyyyy hope you have a good holiday !!!!!!!
<3333
b. y =
Choose the equation for the graph
below.
2x-6
a. y =
x+4
3
4x+8
5x+10
C. y =
x²-1
–3x²
2x+6
- 2x2
e. y =
x²_9
d.y=
Answer:
2 4 23
Step-by-step explanation:
:)))))))))))))))))))))
Answer:
Please check the explanation.
Step-by-step explanation:
1)
From the graph, taking the two points
(3, -5)
(-3, 5)
The slope between (3, -5) and (-3, 5) will be:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{5-\left(-5\right)}{-3-3}[/tex]
[tex]m=-\frac{5}{3}[/tex]
Therefore, the slope is:
[tex]m=-\frac{5}{3}[/tex]
2)
1ST METHOD
We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y
As the graph crosses the y-axis at x=0From the graph, it is clear that:
at x=0, y=0
Thus, the y-intercept is: (0, 0)
2ND METHOD
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where 'm' is the slope and 'b' is the y-intercept
substituting the point (3, -5) and m=-5/3 in the slope-intercept form
[tex]y=mx+b[/tex]
[tex]-5=\frac{-5}{3}\left(3\right)+b[/tex]
[tex]\frac{-5}{3}\left(3\right)+b=-5[/tex]
[tex]-5+b=-5[/tex]
[tex]b=0[/tex]
Thus, the y-intercept is: (0, 0)
3)
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
substituting m=-5/3 and b=0 to determine the equation line in the slope-intercept form
[tex]y=\frac{-5}{3}x+0[/tex]
Therefore, the equation line in the slope-intercept form is:
[tex]y=\frac{-5}{3}x+0[/tex]
where m=-5/3 and b=0
find the quotient 8 divided by 1/7.
Answer:
56
Step-by-step explanation:
When we divide a number with a fraction, we change the sign into a multiplication sign, and we do the reciprocal. Then we multiply across.
6 people go to restaurant they arrived randomly at different times in how many ways can they arrive
Answer:
6
Step-by-step explanation:
Answer:
yeah 6 times.
Step-by-step explanation:
Evaluate: 5.12 ÷ 102.
Answer:
0.050196
Step-by-step explanation:
normally, 2 place values is the answer so 0.05
Answer:
512
Step-by-step explanation:
Your question is probably
Evaluate: 5.12 ÷ 10^2.
your answer is here
PLEASE ANSWER QUICK 20 POINTS!!!!!
Determine if the number is a negative or positive integer. Gain 4 yards in the last down.
Answer:
Positive
Step-by-step explanation:
It's positive because the person is gaining 4 yards, not losing it.
What is 86% of 950? *
Answer:86%of 950= 817
Step-by-step explanation:
Answer:
817
Step-by-step explanation:
Jenny runs track for HMS. She runs 2 miles at practice each morning. Jenny is curious, and wants to know how many feet she runs each morning.
Calculate how many feet Jenny runs at practice each morning.
O 11,516 feet
O 10,560 feet
O 10.463 feet
0 10,065 feet
Answer:
10,560
Step-by-step explanation:
1 mile=5,280 feet
5,280x2=10,560