Please answer the following questions 1 2 and 3 with showing your work fully!
Answers
Answer:
1. Point of intersection = (4, 360)
2. (4, 360) number of hours and the total cost of the repairs is the same for both repair shops
3. Amy's Auto Repair: $280
Step-by-step explanation:
1. y = 100 + 65x and y = 40 + 80x
Equate the equations and solve for x:
y = y ⇒ 100 + 65x = 40 + 80x
subtract 65x from both sides ⇒ 100 = 40 + 15x
subtract 40 from both sides ⇒ 60 = 15x
divide both sides by 15 ⇒ 4 = x
Therefore, x = 4
Substitute x = 4 into either of the equations to find y:
⇒ y = 40 + (80 x 4) = 40 + 320 = 360
Point of intersection = (4, 360)
2. The two lines intersect at (4, 360)
In this context, the point of intersection is where the number of hours and the total cost of the repairs is the same for both repair shops.
3. Substitute x = 3 into the equations and compare:
Mike's repair shop: y = 100 + (65 x 3) = 295
Amy's auto repair: y = 40 + (80 x 3) = 280
Therefore, Amy's Auto Repair is the cheapest (as 280 < 295) and the cost is $280.
Related Questions
HELP ASAP
Ayanna plans to bake 3 types of cookies to take to a party. She needs to be sure that she has enough flour. The chocolate cookies use
1
3
4
cups of flour, the sugar cookies use
3
2
3
cups of flour, and the oatmeal spice cookies require
1
7
8
cups of flour. Which is the BEST estimate of the total amount of flour she will need?
Answers
Answer:
she will need about
7 and 1/3 cups of flour
Step-by-step explanation:
1 3/4+ 3 2/3 +1 7/8= 7.29 rounded off would be about 7 1/3 cups of flour
GIVING BRAINLIEST FOR BEST ANSWER!
Solve two eighths times four fifths.
A) six fortieths
B) eight fortieths
C) six thirteenths
D) eight thirteenths
Answers
Answer:
B
Step-by-step explanation:
I am so sorry, but I have no way to explain this answer, but it is not randomly picked
Because you can multiply across the numerator and denominator.
2 4 8
—- x —- = —-
8 5 40
2•4=8
8•5=40
Please help me out with this
Answers
Answer:
12
Step-by-step explanation:
Find the mean, you need to add up all the numbers and divide by how many there are.
Woodborough ages total 320, so divide that by 20 entries is mean of 16.
Parkville ages total 560, divided by 20 is a mean of 28.
28-16=12
FAST ANSWER PLEASE!!!!!!!!!!!!!!!!!
There are 15 violinists in the orchestra this year. Next year, two violinists will leave and some new violinists will join the orchestra. If v is the number of violinists who will join the orchestra, write an expression to represent the number of violinists in the orchestra next year.
Answers
Answer:
15 - 2 + v
Step-by-step explanation:
i'm not to sure i asked my friend and she's very smart so i think thats ir
*sorry if its wrong*
Answer:
15-2+V=total number of violinists in the orchestra next year
Multiply (2.0 ⋅ 10^−4) ⋅ (3.1 ⋅ 10^−20). Express the answer in scientific notation. (1 point)
6.2 ⋅ 10−80
6.2 ⋅ 10−24
6.2 ⋅ 1024
6.2 ⋅ 1080
Answers
= 6,2⁻²⁴
Select the number line model that matches the expression -2/3 - 5/3
Answers
Answer:
C. None of the above
Step-by-step explanation:
You want an number line representation of the expression |-2/3 -5/3|.
ValueThe expression is evaluated by performing the sum -2/3-5/3, then finding its absolute value. The sum is -7/3, and its absolute value is 7/3.
None of the number line diagrams shows the sum or its absolute value.
__
Additional comment
The sum would be shown by moving from 0 to -2/3, then moving an additional -5/3 to the point -7/3. The absolute value would reflect that across the 0 point to +7/3.
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Solve the system of equations using the elimination method.
4x+3y=16
x=-3y+13
Answers
More Icon
System of Linear Equations entered :
[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :
-3y - 4x = -7 -3y + 16x = 13
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 16x = 3y + 13
[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]
[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y
[1] 15y = 15
[1] y = 1
// By now we know this much :
x = 3y/16+13/16
y = 1
// Use the y value to solve for x
x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
Answer:
x=1 y=4
Step-by-step explanation:
1. 4x+3y=16
x=-3y+13
2. 4x+3y=16
x+3y=13
3. 4x+3y=16
-x-3y=-13
4. 3x=3
5. x=1
6. (1)=-3y+13
7. 1-13=-3y
8. -12=-3y
9. y=4
The 7th grade basketball team won 9 out of 15 games. What is the ratio of losses to wins?
Answers
Answer:
The ratio of losses to wins is 6:9 or if simplified 3:2
Step-by-step explanation:
The 7th grade basketball team played 15 games in total. If they had 9 out of those 15 games they lost the other 6. So, the ratio of losses to wins is 6:9. Losses goes first because its first in the word problem. To simplify a ratio find the number they both divide into. In this case its 3. 6 divided by 3 is 2. And 9 divided by 3 is 3. So in simplest form the answer is 3:2 :)
Worth 55 points + Brainliest to the person with the best answer
Question: Which unit rate corresponds to the proportional relationship shown in the graph? Drag and drop the answer into the box to match the graph with its rate.
Answer choices: (1) 1/5 cm/s (2)1/4 cm/s (3) 4/5 cm/s (4)5/4 cm/s
Answers
Answer:
The answer is the 3rd option...I hope I'm right
If I'm right then pls mark me as BRAINLIST will u? thanks :)
These base-10 blocks model 68.
Which answer shows how to correctly rearrange the blocks to find the quotient 68 ÷ 7?
Seven groups of 9 ones cubes. To the right of these are 5 ones cubes.
Six groups of 1 tens rod and 1 ones cube. To the right of these are 2 ones cubes.
Nine groups of 7 ones cubes. To the right of these are 2 ones cubes.
Answers
Answer:
68 ÷ 7 = 9.714
−
Find the value of x. Then, classify the triangle (one name for its side lengths, one name for its angles).
Answers
20 and acute
ive worked it out on the attachment/picture im not sure if its right but its a guess
Answer:
x = 10
scalene, obtuse
Step-by-step explanation:
Sum of interior angles of a triangle = 180°
⇒ 10x + 8 + 52 + 2x = 180
⇒ 12x + 60 = 180
⇒ 12x = 120
⇒ x = 10
∠A = 52°
∠B = (10 x 10) + 8 = 108°
∠C = 2 x 10 = 20°
Scalene: no equal sides (and no equal angles)
Obtuse: one of the interior angles is bigger than 90°
IM BEGGING YOU PLS JUST PLS PLS PLS HELP
Answers
Answer:
120
Step-by-step explanation:
Since ABC is an equilateral triangle each <=60
Now Givin ac=cd so <cda
Please help I don’t get this math plz explain ;w;
Answers
Answer:
B(3)
Step-by-step explanation:
i believe its 3 because the range is the distance between the highest and lowest number
GIVING BRAINLIEST FOR BEST ANSWER!
Which of the following is true?
A) Three and two fifths plus four and two sevenths equals seven and four twelves
B) Two and five eighths plus six and one sixth equals eight and six twenty fourths
C) Four and eight tenths plus five and two sixths equals ten and eight sixtieths
D) Six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answers
Answer:
c
Step-by-step explanation:
Answer:
four and eight tenths plus five and two-sixths equals ten and eight sixtieths
Step-by-step explanation:
Kate has a new beaded necklace. 25% of the 76 beads on Kate's necklace are blue. How many blue beads are there on Kate's necklace?
Answers
NEED ANSWER REALLY FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
help ill give brainlest pls
Answers
Answer:
It is A
Step-by-step explanation:
Cuz it rotates Over the axis and reflect over it
To the nearest hundredth, what is the measure of DE¯¯¯¯¯?
PLEASE HELP!!!!!!!
1.55
4.69
14.83
17.09
Answers
Answer:
14.83
Step-by-step explanation:
We can use the Pythagorean theorem to solve the question
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + DE ^2 = 16^2
36+ DE ^2 = 256
Subtract 36 from each side
DE ^2 = 256-36
DE ^2 = 220
Taking the square root of each side
sqrt( DE^2) = sqrt(160)
DE =14.83239697
Rounding to the nearest hundredth
DE =14.83
Ye Li drew a quadrilateral that is both a rectangle and a rhombus. Name the quadrilateral and describe it using the properties of sides and angles.
Answers
Answer:
The quadrilateral is a Square. A square is a type of rectangle and it can also be called a rhombus.
Step-by-step explanation:
A square is a smaller rectangle and if you turn a square, it will look like a rhombus.
Oliver has 5 pieces of string that are each 4 2/12 feet long. Destiny has 4 pieces of string that are each 5 14/16 feet long. Use an estimation strategy to determine who has the most string. Choose the name and number to complete the statement. Choose..(Oliver or Destiny) is estimated to have Choose...(1 through 10) more feet of string.
Answers
Answer:
Destiny is estimated to have around 4 more feet of string.
Step-by-step explanation:
Oliver:
4 2/12 is rounded to 4.
5x4=20.
Destiny:
5 14/16 is rounded to 6.
4x6=24.
20 is less than 24. So Destiny has more string
24-20=4. Destiny has around 4 more feet of string.
Destiny is estimated to have 4 more feet of string.
Step-by-step explanation:
i need help with this
Q2
Answers
Answer:
9/4
Step-by-step explanation:
If Krista wants the pen to be four times the area it is now
(5 feet long by 4 21 feet wide), what are two ways she could change
the length and/or width to give her that new area? What would the new area be?
Answers
Explain why you cannot factor the trinomial x(to the power of 2)−12x+6
Answers
Answer:
See below
Step-by-step explanation:
You cannot find two whole number integers that give a sum of -12 and a product of 6.
-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6
-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6
...and so on...
x² - 12x + 6
This is in the form of ax² + bx + c.
We can not factorize because b < ac.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x² - 12x + 6
This is in the form of ax² + bx + c.
Middle-term factorization.
We can not use middle-term factorization because b < ac.
Where a = 1, b = -12 and c = 6
Now,
Using determinant.
x² - 12x + 6
It is in the form of ax² + bx + c
a = 1, b = -12, and x = 6
So,
x = -b ± √(b² - 4ac) / 2a
x = 12 ± √(144 - 24) / 2
x = 12 ± √120 / 2
x = 12 ± 2√30 / 2
x = 6 ± √30
x = 6 + √30 and x = 6 - √30
Thus,
The solutions are x = 6 + √30 and x = 6 - √30.
Learn more about expressions here:
https://brainly.com/question/3118662
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find the x helpp pleaseee
Answers
you can solve this using pythagoras theorem which states that the sum of the square of the lengths of the sides adjacent to the right angle is equal to the square of the length of ypotenuse (hypotenuse is the longest side which is opposite to right angle)
( the attached image will help you understand the theorem better)
so
20² + 15² = x²
400 + 225 = x²
625 = x²
√625 = x
25 = x
Have a great day/night :)
Item cost $490 before tax, and the sales tax is $24.50
Find the sales tax rate right your answer as a percentage
please help me :’)
Answers
Answer: 5%
Step-by-step explanation:
Item Cost - $490
Tax - $24.50
Tax/Price = 24.50/490.00 = 0.05
0.05 *100 (for percent) = 5%
Check your work:
490.00*0.05 = 24.50
PLEASE HELP THIS IS FOR NJHS!!!
what does scholarship mean to you? (must use at least 1 paragraph
Answers
(you might want to tweak this to fit you and make it longer but this is the best i got)
I think a scholarship means an opportunity for people to earn an education. Without assistance from an outside source, students may have trouble paying for the degree. Scholarships help students have more time to focus on their studies. For many students, the stresses of working make it difficult for them to graduate on time, or graduate with the high grades they have the potential to achieve. For other students, the work/study life is unsustainable, and they discontinue their studies altogether. And I think scholarships can fill the gap. I feel with the assistance it can support students who fall in the gap between high and low-income levels.
GIVING BRAINLIEST FOR BEST ANSWER!
Solve two times five eighths.
Leave your answer as an improper fraction.
A) Seven sixteenths
B) Ten sixteenths
C) Seven eighths
D) Ten eighths
Answers
Answer:
D
Step-by-step explanation:
two times five eigths would be 1.25. Or 1 1/4 or 5/4. If you times both the denominator and numerator by two, you would get 10/8. 18/8=1.25
Answer:
10/8 or 1 2/8 ( mixed number )
Step-by-step explanation:
First, turn the two into 2/1 and then multiply
2/1 by 5/8
start by multiplying
2 x 5 =
which is equal to 10 and you keep 8 the same because 1 x 8 is 8
then you get your answer of 10/8
But if you want it to be a mixed number then the final answer will be
= 1 2/8 ( mixed number )
Please mark me as branliest
Hope this helps!!
HELP ILL GIVE BRAINLIEST
Answers
Answers:
1.) C and F - I simply found the volume of all of the prisms.
2.) 210 cubic cm - I multiplied 5x6x7 and got a volume of 210 cubic cm.
3.) C.) Volume - You were given the length, width, and height.
4.) B, C, E
5.) C, D, E
6.) A, C, E - I multiplied everything to see what match the volume of 240.
7.) 400 cubic inches - Multiply them all.
8.) 180 cubic feet - 8x3x5 + 4x5x3
9.) A.) Length A- 5ft Width B- 4ft B.) 104 cubic feet
10.) 300 cubic inches - 8x3x5 + 12x3x5
Side note:
Volume is calculated by multiplying length, width, and height. Your work should be multiplying those. Ask me any questions! Brainliest would be greatly appreciated.
I hope this helped!
Good luck <3
Mind lending a hand?
Answers
Answer:
3- Answer is D or 35
4- Answer is B 5,9,6
Step-by-step explanation:
A certain type of bacteria reproduces so that after x hours there are 15x cells. What single power represents he size relationship between the cell population after 24 hours and the cell population after 8 hours? Show your work
Answers
Answer:
let's say cells is c and hours are x that means there are 15 cells each hour. the equation for that is c=15x
after 08 hours the cells have multiplied 8 times their original size. meaning that the equation changes to this: c=15x x=8 c= 15(8)
x equals 8 at that time.. literally
ok the cells have multiplied and now there are 120 cells in total
then after one day the cells have multiplied over 12 times afterwards. now x equals 24. the equation would look a little like this:
c=15x x=24 c= 15(24)
there are 360 cells now.
Explain in your own words the relationship between x=8 with x=24 in the equation.