Answers
Answer:
See below.
Step-by-step explanation:
1.
y = 100 + 65x
y = 40 + 80x
100 + 65x = 40 + 80x
-15x = -60
x = 4
y = 100 + 65x = 100 + 260 = 360
(4, 360)
2.
The lines intersect at the point (4, 360).
At the point of intersection, where x = 4, it shows that by doing 4 hours of labor, both shops cost the same.
3.
Mike's:
y = 100 + 65x = 100 + 65(3) = 100 + 195 = 295
Amy's:
y = 40 + 80x = 40 + 80(3) = 40 + 240 = 280
For 3 hours of labor, Amy's shop is cheaper at $280. Mike's costs $295.
Answer:
1. (4, 360)
2. total cost at both repair shops is the same
3. Amy's Auto Repair: $280
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=100+65x\\y=40+80x\end{cases}[/tex]
Question 1
Solve by using the Substitution Method:
[tex]\implies 40+80x=100+65x[/tex]
[tex]\implies 40+80x-65x=100+65x-65x[/tex]
[tex]\implies 40+15x=100[/tex]
[tex]\implies 40+15x-40=100-40[/tex]
[tex]\implies 15x=60[/tex]
[tex]\implies 15x \div 15=60 \div 15[/tex]
[tex]\implies x=4[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies y=40+80(4)[/tex]
[tex]\implies y=40+320[/tex]
[tex]\implies y=360[/tex]
Therefore, the point of intersection is (4, 360)
Question 2
The two lines intersect at (4, 360). This means that the total cost at both repair shops is the same when it takes 4 hours to repair the car. The cost at this time is $360.
Question 2
To find the cost at both repair shops if it takes 3 hours to fix the car, substitute x = 3 into both equations and solve for y:
Mike's Repair shop:
[tex]\implies y=100+65(3)[/tex]
[tex]\implies y=100+195[/tex]
[tex]\implies y=295[/tex]
Amy's Auto Repair:
[tex]\implies y=40+80(3)[/tex]
[tex]\implies y=40+240[/tex]
[tex]\implies y=280[/tex]
Therefore, Amy's Auto Repair company is the cheapest at a cost of $280.
Related Questions
(ii) Write 4.31 x 10^3 as an ordinary number.
Answers
Answer: 4310
Step-by-step explanation: Because it is a positive exponent instead of negative, you would move the decimal to the right 3 places
The difference of a number n and 1 squared is 25
Answers
Answer:
6
Step-by-step explanation:
6-1=5
5 x 5= 25
Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.
Answers
Answer:
a) 15
b) 25
c) p = 15w + 25, where p is puppets and w is weeks
Step-by-step explanation:
a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15
b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already
c) The slope and y-intercept were incorporated into an equation in slope-intercept form.
Lines LaTeX: CEC E and LaTeX: ADA D intersect at LaTeX: BB. Lines C E and A D intersect at the point B. Angle A B C is labeled 37 degrees. Select all the true statements. Group of answer choices The measure of angle LaTeX: CBA C B A is equal to the measure of angle LaTeX: DBE D B E . The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 180 degrees. The measure of angle LaTeX: CBD C B D is equal to the measure of angle LaTeX: ABE A B E . The sum of the measures of angles LaTeX: CBD C B D and LaTeX: CBA C B A is 180 degrees. The sum of the measures of angles LaTeX: CBA C B A and LaTeX: DBE D B E is 90 degrees.
Answers
*see attachment below for the figure referred to
Answer:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Since lines CE and AD bisects at D, they form two pairs of vertical angles that are congruent to each other. The vertical angle pairs formed are:
<CBD and <ABE;
<CBA and <DBE
Thus:
m<CBD = m<ABE;
m<CBA = <DBE = 37°
Also, m<CBA + m<CBD = 180° (supplementary linear pair)
m<ABE + m<DBE = 180° (supplementary linear pair)
Therefore, the following statements are TRUE:
*The measure of angle <CBA is equal to the measure of angle <DBE.
*The measure of angle CBD is equal to the measure of angle ABE.
*The sum of the measures of angles CBD and CBA is 180 degrees.
240 is 75% of what number?
Answers
Answer:
320Step-by-step explanation:
Let the unknown number be x
[tex]75 \% \times x = 240 \\ \frac{75x}{100} = 240[/tex]
Cross Multiply
[tex]75x \times 1 = 100 \times 240 \\ 75x = 24000[/tex]
Divide both sides of the equation by 75
[tex] \frac{75x}{75} = \frac{24000}{75} [/tex]
Simplify
[tex]x = 320[/tex]
Answer:
320
Step-by-step explanation:
you would do [tex]\frac{75}{100}[/tex]*x=240
then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*[tex]\frac{100}{75}[/tex]
which would give you [tex]\frac{24000}{75}[/tex]=x
which then simplifies down to 320
[-7]+7=
i got zero but my thing says its wrong :/
Answers
Answer:
0
Step-by-step explanation:
-7 + 7 should be equal to 0. Maybe you wrote the numbers or the sign wrong..?
Answer:
=0
Step-by-step explanation:
ese es la respuesta mijo
What is 3.5 x 10-4 in standard form?
Answers
Answer:
The answer is 35000.
Step-by-step explanation:
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2?
A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, 2).
A coordinate plane with a line passing through (0, 2) and (2, negative 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
Answers
Answer:
graph 1
Step-by-step explanation:
Graph using table of values
x y
2 -2/3
1 -4/3
0 -2
they are all on that graph
The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
What are intercepts?Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
According to the question
Represents a line with a slope of -2/3
i.e ,
m = -2/3
y-intercept equal to that of the line
y = [tex]\frac{2}{3}x-2[/tex]
i.e ,
at y-intercept , x = 0
y = -2
Now, Putting value in standard form of line
y = mx + c
-2 = 0 + c
c = -2
now , substituting the values of m and c in standard form of line
y = mx + c
y = [tex]\frac{-2}{3}x-2[/tex] --------- (equation of graph )
Now ,
x y
0 -2
3/2 1
3 0
Only option 4 have these points
Hence, The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
To know more about slope and intercepts here:
https://brainly.com/question/19824331
#SPJ2
A rectangular park is w feet wide. Its length is 25 feet larger than its width. Record using algebra:
What is the length of the park?
Answers
w= w
2w+25=0
2w=-25
w=-12.5
w=12.5 (absolute value)
l= 37.5feet
Pls help i will give brainliest シ♡︎
Answers
Answer:
No solution
Step-by-step explanation:
Parallel lines
Answer:
no solution
Step-by-step explanation:
easy way to remember parallel lines don’t touch.....no solution ever
Can you help me plz!
I hope you can see it
Answers
Step-by-step explanation:
a. 102
b. 78
c. 102
d. 102
e. 102
f. 78
For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership?
Answers
Answer:
adding the $35 with the $55 be up to 90 . I think that the answer to it hope is helpful
A car is driving down from the top of a Colorado mountain. The elevation is 13,500 feet. Every minute of driving, the car's elevation decreases by 150 feet. Let x be the time in minutes that the car has been driving down the mountain , E(x) = -150x+13,500. Evaluate E(5), and explain the meaning of the answer in terms of the car.
Answers
Answer:
Step-by-step explanation:
Given the rate at which the car elevation decreases expressed by the function
E(x) = -150x+13,500 where x is in minutes.
To evaluate E(5), we will substitute the variable x = 5 into the function as shown;
E(5) = -150(5)+13,500.
E(5) = -750+13,500.
E(5) = 13500-750
E(5) = 12750
This means that after 5minutes, the car elevation has decreased by 12,750feet
Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again?
Answers
...........................
PLEASE HELP I really need it!!! Steve deposited 2,500$ to the bank. The account has an annual simple interest rate of 4%. After 3 years how much simple interest will Steve Earn? Please Help ASAP
Answers
Answer:
$300
Step-by-step explanation:
You want to calculate the interest on $2500 at 4% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $2500.00.
r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 2500 × 0.04 × 3 to get that:
The interest is: $300.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 2500.00 + 300.00 = 2800.00
A lab assistant tracked an object’s travel time in hours. However, the lab director wants the time tracked in minutes.
A 2-column table with 4 rows. Column 1 is labeled hours with entries 0.5, 0.75, 1.5, 2.5. Column 2 is labeled Minutes with entries 30, 45, 90, blank.
Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours?
Answers
Answer:
150
Step-by-step explanation:
Answer: 150!
Step-by-step explanation:
i did the edge test, i got it right. trust me, i dont lie. :) have a nice day<3
proof:
What is -3/8
written as a decimal?
Answers
Chad and his two friends are picking blueberries at a local farm. Chad picked 2 pounds of blueberries, and one of his friends picked 1 pounds. If they ended up with a total of 5 pounds, how many pounds did Chad's other friend pick? Express your answer as a mixed number.
Answers
Answer:
Chad's other friend pick 2 pounds of blue berries.
Step-by-step explanation:
Chad picked 2 pounds of blue berries.
One of his friends picked 1 pound of blue berries.
Totally there is 5 pounds.
So, other friend picked blue berries = 5-2-1 =2 pounds
We get answer as whole number. So no need to write it in mixed form.
Which of the following is an advantage of a low center of gravity?
It is easier to stay balanced
It is easier to lift your body up
It is easier to fly
It is easier to jump
(I could not find an option for science so I just made the subject math instead but this is sciences)
Answers
Answer:
It is easier to stay balanced
Step-by-step explanation:
5(x−2)−3(2−x) pls answer pls i need help
Answers
5x-10-6+3x
Then combine like terms
Then your answer should be
8x-16
Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing, what would the inequality be?
Answers
The inequality is 0.75x greater than or equal to y
Step-by-step explanation:
Given : Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices and y is the total number of hours he spends practicing.
To find : Which inequality represents this situation?
Solution : He plays trumpet for a minimum of 45 minutes
If x is the number of days that Lionel practices then he practices for at least
hours
y is the total number of hours he spends practicing
So, the inequality form is:
i.e, 0.75x is greater than y.
I need help please!!!
Answers
Answer:
it's yes
Step-by-step explanation:
Action Video rents DVDs and VHS movies to its customers. The cost to rent d, DVD movies, is $3.50 each and the cost to rent r, VHS movies, is $2.50 each. Which of these represents the possible number of DVDs that could be rented for no more than $20?
Answers
Answer and explanation:
To determine number if DVDs that can be bought for $20, we simply check price per DVD then calculate how many $20 can buy
Number of DVDs that can be rented for no more than $20
=$20 divided by cost of each DVD $3.50
=20/3.50
=5.714
=5 DVDs
We round down because 0.714 DVD does not qualify as one DVD
Yon buys tickets to a concert for himself and a friend. There is a tax of 6% on the price of the tickets and
an additional booking fee of $10 for the transaction. Enter an algebraic expression to represent the price
per person. Simplify the expression if possible. Use variablet for the price of the 2 tickets in dollars.
Plzzzz hellppppppppppl
Answers
Answer:
t=1.06x+10 where x=The amount of tickets bought
Step-by-step explanation:
you multiply x by 1.06 to add the extra tax onto it.
You add the 10 to add the $10 booking fee
When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?
Please tell me
Answers
y = a(x - h)² + k is the vertex form of an equation of a parabola with vertex (h,k)
We get the coordinates of the vertex of parabola from that form: (h, k)
We also know if the parabola goes up or down: a>0 or a<0
We can tell how many roots has the equation:
(a>0 and q>0) or (a<0 and q<0) ⇒ no roots
a≠0 and q=0 ⇒ one root: x₀=p
(a>0 and q<0) or (a<0 and q>0) ⇒ two roots
We can also determine the roots (if they exist):
a(x - h)² + k = 0
a(x - h)² = - k
(x - h)² = - k/a
x - h = √[-k/a] ∨ x - h = - √[-k/a]
x = √[-k/a] + h ∨ x = - √[-k/a] + h
Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.
Lydia missed 74 questions on her multiple choice math final and earned a grade of
63%. How many total questions were on the final exam?
Answers
Answer:
117 questions
Step-by-step explanation:
Math question please help asap
Answers
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then, he notices that
the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his
remaining money.
Let B represent the number of bags of avocados that Alonso buys.Which inequality describes this scenario? It is the night largest number of avocados the Alonso can afford 
Answers
Answer:
21- 2.50 = 18.50
he can only buy 3, 5 10 15. he can buy 9.
At Wal Mart a 32 ounce gatorade cost $ 1.99 and at Target a 24 ounce gatorade costs $1.09. Which store has the better buy?
Answers
I believe target has the better deal.
can you help me with this please
Answers
Answer:
f(3) = -9
Step-by-step explanation:
Given that,
→ f(x) = -7x + 12
Then the value of f(3) will be,
→ f(3) = -7(3) + 12
→ f(3) = -21 + 12
→ [ f(3) = -9 ]
Hence, the value is -9.