A motor center carries out servicing of cars, which includes the replacement of parts.
Three service technicians can each do 5 services per day . Normally they work Monday to Friday, but
sometimes one technician will also work on Saturday.
Each car requires 1 air filter, 1 oil filter, 1 quantity of engine oil and 4 spark plugs.
The parts are purchased in bulk, and come in boxes containing the quantities shown below.

Air filter............. 8 per box
Oil filter ............ 20 per box
Engine oil ......... 4 per box
Spark plugs ...... 80 per box


How many boxes of each item is it necessary to buy each week, if the motor center is to carry out the maximum possible number of services?

Answers

Answer 1

Answer:

1 box of spark plugs, 3 air filter boxes, 1 oil filter box, and 5 boxes of engine oil

Step-by-step explanation:

the max amount of services that can be done is about 20 per week, including the one on Saturday. so u just multiply the amount needed by the 20 possible services and check to see the amount that comes in each box, then get as many as needed


Related Questions

Sarah chose 3 shells to purchase at a souvenir shop. The price tag for the first shell indicated $16, the second shell indicated $18, and the third shell indicated $12. After adding tax, the clerk at the shop said the total cost was $50. What percentage of the total cost was the tax?

F 12%
G 8%
H 4%
J 10%

Answers

Answer is j 10% add 18 plus 16 plus 12 = 46

Three times the sum of a number and 7 is 4.

Answers

n is -1, and to get that you would need to have the equation 3(n)+7=4 since it says "three times (so parenthesis) the sum (plus sign) of a number 3(n)+7 and is means equal, so to 4.

What is the slope and the y-intercept of the line? y = − 8x + 5

Answers

Answer:

The slope is -8 and the y-intercept is 5


The diagram below is used to sort out numbers.
Type each number in the correct location on the diagram.

7 8 9 10

Answers

Answer is : prime number is 7-8 odd number is 9 cube number is 10

7, 7, 9, 27, 27, are the numbers that we can fill these boxes starting from left.

What is a prime number?

A prime number is not a composite number, prime numbers are only divisible by the number itself and one.

An example of a prime number is 2 which is only divisible by 2 and 1 it is also the only even prime number.

The only prime number is 7.

The intersection of prime and odd numbers is 7.

The only odd number is 9.

The intersection of odd and cube numbers is 27.

The only cube number is 27.

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What is the missing value in the table below?
Number of Books
3. $10.00
9. $30.00
18. $60.00
$80.00

Answers

Answer:

24 books

Step-by-step explanation:

Books are valued at $10/3 books.  18 books would have a value of (18books)*($10/3books) = $60, and so on.

X books would have a value of X($10/3)=$80

X = ($80)*(3/$10)

X = 24 books

A cube is a regular prism with square faces. How can you write a simpler version of the surface area formula for a cube?

Answers

Answer:

A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

The surface area formula for a cube is 6l²

How to determine the surface area?

A cube has the following features:

6 faces of equal areasEach face has equal side length

The area of a face of a cube is:

Area = l²

Where l represents the side length

The surface area formula for a cube is then calculated using:

Surface area = 6 * Area of a face

So, we have:

Surface area = 6 * l²

Surface area = 6l²

Hence, the surface area formula for a cube is 6l²

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Sam would like to use his extensive stamp collection as collateral for a secured loan. sam has documentation that says his stamp collection is worth $10,525.00. sam's bank has a policy that permits loan officers to lend no more than 82.5% of the value of the collateral. what is the maximum loan amount sam can get from his bank using his stamp collection as collateral? a. $8,683.13 b. $9,700.00 c. $10,525.00 d. $12,382.35 please select the best answer from the choices provided a b c d

Answers

Answer:

A on edge 2021

Step-by-step explanation:

I got it correct.

What is the lower quartile of the following data set
53,49,43,59,63,76,40,71,47,66,57,30,48,58,35

Answers

The lower quartile is 43.

what percent of numbers of the muffins sold were carrot

Answers

15%

Tell me if this helps
Please mark me as brainliest

Rachel currently has $836 in a savings account that has earned 4. 5% annual compound interest for the past year. What was Rachel’s beginning balance one year ago if she has made no other deposits during the year?

Answers

you would need to find 4.5% off of that $836 so 836 x 0.045= 37.62 now subtract that from the OG price so 836-37.62= 798.38 so one year ago her balance was $798.38

Rachel's beginning balance one year ago was $800.

What is compound interest?

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that,

The current balance is $836 which is the result of compound interest of 4.5 % annually.

The original amount was a priciple amount P on which interest was applied and the final amount $836 made.

Compound interest formula;

A = P[ 1 + RT/100]^T

Where A is the final amount and T is the time period.

Here,

A = 836 , R = 4.5% and T = 1 year.

So,

836 = P[1 + 4.5/100]^1

P = 836/1.045 = $800

Hence "Rachel's beginning balance one year ago was $800".

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I need this done quick.

Answers

Answer:
460

Steps:
The Arithmetic Series formula is:
S = n( (a1 + an) / 2)

Take note that:

S = the sum of n terms
n = number of terms
a1 = the first term
an = the last term

We are given n, a1, an. Let’s solve for S.

S = 20( (18 + 28) / 2)
18 + 28 = 46
46 / 2 = 23
20 * 23 = 460

The measure of an angle is 32 degrees . What is the measure of its complementary angle?

Answers

Answer:

an angle measuring 32 degrees has a complement that measures (2x-16) degrees. What is the value of x?

Step-by-step explanation:

let me know if its right

please help me please

Answers

Answer:

Step-by-step explanation: y axis is 6units up (y=+6)

X axis is 2units to the right. (×=+2)

please help asap tysm <33

Answers

Basically same as 5.1 - 1.2 = 3.9

NO LINKS PLEASE OR ILL REPORT!! 20 POINTS!!!
Write an equation to represent the verbal description.
The difference of six times a number and four times another number is 20.

Answers

Answer:

x=6*4y=20

Step-by-step explanation:

the difference = x, six times = 6*, 4 times = 4y, number is 20 = 20

Melinda kept a record of her spending for the week. she spent $25 to put gas in the car, bought a new shirt for a total of $22.38, played putt-putt golf with some friends that cost $6.95 and paid $38.71 for a few groceries. what was the total of melinda’s expenses for the week? a. $68.24 b. $86.09 c. $91.94 d. $93.04 please select the best answer from the choices provided a b c d

Answers

The total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

What is expenses?

It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.

Melinda kept a record of her spending for the week as follows:

The amount she spent money to put gas in the car = $25

The amount to buy a new shirt = $22.38

The amount to play putt-putt golf with some friends = $6.95

The amount to buy groceries = $38.71

To calculate the total expenses for the week, we must add all the expenses:

= $25+$22.38+$6.95+38.71

= $93.04

Thus, the total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

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3. Look at the set of ordered pairs below. Determine if the three statements that follow are true or false.
If it is true, explain why you know that it is true.
If it is false, explain why you know that it is false and change the statement to a true statement.
{(3,6), (4,6), (5,7), (6,8), (7,10), (8,10)
Statement 1:
The relation is not a function because every y-value has more than one corresponding X-value
Statement 2:
The domain of this relation is 3=< x =< 8.
Statement 3:
The range of this relation is {6, 7, 8, 10}

Answers

Answer:

Statement 1 - false

A function is one-to-one or many-to-one.

One-to-one means each value in the range (y-values) corresponds to exactly one value in the domain (x-values)

Many-to-one means some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).

Therefore, as some y-values correspond to more than one x-value, this is a many-to-one function.

The true statement should be:

The relation is a function because some y-values correspond to more than one x-value.

Statement 2- true

The domain is the set of input values (x-values).  Therefore, the domain is 3 ≤ x ≤ 8 as the smallest x-value is 3 and the highest x-value is 8.

Statement 3 - true

The range is the set of output values (y-values).  Therefore, the range is {6, 7, 8, 10} as these are the y-values of the ordered pairs.

what is an equation of the line that passes through the point (-2,-8) and has a slope of 3?

a) y=3x-2
b) y=3x-22
c) y=3x+2
d) y=3x+22

Answers

Answer:

y = 3x -2

Step-by-step explanation:

General equation of a line in the slope intercept form is

y = mx + b ,

where m is the slope and b is the y-intercept ( where intercepts the y-axis)

y = 3x + b ,

because is given slope is m = 3

For point (x = -2, y = -8) we have

-8 = 3 (-2) + b

-8 = -6 + b

-8 + 6 = b

-2 = b

The equation of the line that passes through the point (-2,-8) and has a slope of 3 is

y = 3x -2

Write the expression in radical form. (1pt)


x 2/7

Write the expression in exponential form.

∛2y

Please show steps I'm so lost

Answers

[tex]\\ \rm\dashrightarrow x^{\frac{2}{7}}[/tex]

[tex]\\ \rm\dashrightarrow x^{2(1/7)}[/tex]

[tex]\\ \rm\dashrightarrow \sqrt[7]{x^2}[/tex]

And

[tex]\\ \rm\dashrightarrow \sqrt[3]{2y}[/tex]

[tex]\\ \rm\dashrightarrow 2y^{\frac{1}{3}}[/tex]

Answer:

see below

Step-by-step explanation:

Problem-1:

[tex] {x}^{ \frac{2}{7} } [/tex]

remember that,

[tex]\displaystyle {x}^{ \frac{a}{b} } = \sqrt[b]{ {x}^{a} } [/tex]

here,

a=2b=7

hence,

[tex] {x}^{ \frac{2}{7} } = \boxed{\sqrt[7]{ {x}^{2} } }[/tex]

Problem-2:

recall that,

[tex] \sqrt[n]{x} = {x}^{ \frac{1}{n} } [/tex]

therefore,

[tex] \sqrt[3]{2y} = (2y {)}^{ \frac{1}{3} } \implies \boxed{{2 }^{ \frac{1}{3} } {y}^{ \frac{1}{3} } }[/tex]

One angle of an isosceles triangle measures 92°. What measures are possible for the other two angles? Choose all that apply.44 24 76 47

Answers

Answer:

44

Step-by-step explanation:

First remmember that all triangles will add up to equal 180 degrees

so we will have to subtract 180 by 92

whitch is 88

Now sence an isoclies are to equal sides we will have to divide 88 by 2

whitch is 44

Making 44 your answer.

Part A
Construct a circle of any radius, and draw a chord on it. Then construct the radius of the circle that bisects the chord. Measure the angle between the chord and the radius. What can you conclude about the intersection of a chord and the radius that bisects it? Take a screenshot of your construction, save it, and insert the image below your answer.

Part B
Write a paragraph proof of your conclusion in part A. To begin your proof, draw radii OA and OC.

Part C
In this part of the activity, you will investigate the converse of the theorem stated in part A. To get started, reopen GeoGebra.

Draw a circle of any radius, and draw a chord on it. Construct the radius of the circle that is perpendicular to the chord. Measure the line segments into which the radius divides the chords. How are the line segments related? What can you conclude about the intersection of a chord and a radius that is perpendicular to it? Take a screenshot of your construction, save it, and insert the image below your answer.

Part D
Write a paragraph proof of your conclusion in part C. To begin your proof, draw radii OA and OC.

Answers

Answer:

All answers are bold and links are real photos  

BTW THE PHOTOS ARE IN ORDER OF THE ANSWERS

Brainlyist??

Step-by-step explanation:

Task 1

Part A

Tangent Line

Part B

PHOTO WITH LARGE CIRCLE AND LINE OUT SIDE BUT CONNECTED

Part C

2034.7

PHOTO WITH EQUATION

We calculate the point from the center of the earth to the satellite and because we have the radius we can subtract it getting the distance from the satellite to the earth.

Task 2

Gears

Part A

Approximately 10.47 inches

Part B

300°

Part C

Approximately 125.66 inches

Part D

The distance traveled increases by approximately 62.83 inches

Task 3

Circle Theorems

Part A

PHOTO WITH LINE THROUGH CIRCLE AND ONE 90 DEGREE ANGLE

Part B

Prove OC is perpendicular to AB

We know that ΔAEC≅AED by SSS criteria (SSS criteria is when all three sides of a triangle is equal making them congruent)

To prove this that they apply to the SSS criteria: m∠ADO=m∠BDO m∠ADO=90°=m∠BDO

Part C

A radius is perpendicular to a chord when the chord is equally divided in half by the radius.

PHOTO OF LINE THROUGH CIRCLE AND LINE DISTANCES

Part D

Prove OC is perpendicular to AB

AO=BO because AO and BO are both radii

OD≅OD by reflexive theorem

ΔADO≅ΔBDO because they are both right triangle with the hypotenuse and a side

AB≅BC means that OC is perpendicular to AB

Disclaimer: The images to part A and part C is the same.

Two theorems we are proving are:

Line drawn from the center of the circle to bisect a chord is perpendicular to it.Perpendicular drawn from the center of the circle to a chord, bisects it.

How do we solve the given question?

Part A: The image is attached

Part B:

Let there be a circle with the center at O. Let AC be a chord. Let OE be a radius of the chord such that OE bisects AC at B, that is, AB = BC.

To prove: A line drawn from the center of the circle to bisect a chord is perpendicular to it.

Construction: We join OA and OB.

Proof:

In ΔOAB and ΔOCB,

OA = OC (Radius of the same circle)

AB = BC (Given, at B, the chord is bisected)

OB = OB (common side)

∴ ΔOAB ≅ ΔOCB [SSS axiom]

∴ ∠OBA = ∠OBC [Common parts of Congruent triangles]

Let ∠OBA = ∠OBC = x.

Since AC is a straight line,

∠OBA + ∠OBC = 180° [Linear pair]

or, x + x = 180°

or, 2x = 180°

or, x = 90°.

∴ ∠OBA = ∠OBC = 90°.

So, we can say that OB ⊥ AC, hence the theorem is proved.

Part C: The image is attached

Part D:

Let there be a circle with the center at O. Let AC be a chord. Let OE be a radius of the chord such that OE is perpendicular to AC at B, that is, AB ⊥ BC.

To prove: A line drawn from the center of the circle perpendicular to the chord bisects it.

Construction: We join OA and OB.

Proof:

In ΔOAB and ΔOCB,

OA = OC (Radius of the same circle)

∠OBA = ∠OBC = 90° (∵ OB ⊥ AC)

OB = OB (common side)

∴ ΔOAB ≅ ΔOCB [RHS axiom]

∴ AB = AC [Common parts of Congruent triangles]

So, we can say that OE perpendicular to the chord AC bisects it, hence the theorem is proved.

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Select "Growth" or "Decay" to classify each function.

y=(3.5)^t/2

f(x)=1/4(2)^t

y=10(0.99)^t

Answers

Answer:

1. Growth

2. Growth

3. Decay

Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).

Answers

Equations of Circles

Generally, you'd see the equation of a circle organized in the following format:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center[tex]r[/tex] is the radius

To determine the equation given the center and the radius:

Plug both pieces of information into the general equationSimplify

Solving the Question

We're given:

Radius: 99Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

[tex](x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801[/tex]

Answer

[tex](x+1)^2+(y+8)^2=9801[/tex]

The depth of two lakes is measured at multiple spots. For the first lake, the mean depth is about 45 feet with a mean absolute deviation of 8 feet. For the second lake, the mean depth is about 60 feet with a mean absolute deviation of 27 feet.


Noah says the second lake is generally deeper than the first lake. Do you agree with Noah?



No, I do not agree with Noah because the second lake has greater variability with a higher MAD so even though the mean depth is deeper the data is very spread out away from that mean.


No, I do not agree with Noah. The MAD tells us how deep it is and the 1st MAD is more.


Yes, I agree with Noah. The MAD tells us how deep it is and the second MAD is more.


Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second.

Answers

Answer:

Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second

Step-by-step explanation:

Fill in the table using this function rule.
y=15-3x

x y
1:
3:
4:
5:

Answers

Answer:

(1,12) ; (2,9) ; (3,6) ; (4,3) ; (5,0)

Step-by-step explanation:

You need to plug the x values into the equation.

Your equation: y=15-3x


Example:

Plug in 1

y=15-3

y=12

Plug in 2:

y=15-3(2)

y=15-6

y=9

Plug in 3:

y=15-3(3)

y=15-9

y=6

Plug in 4:

y=15-3(4)

y=15-12

y=3

Plug in 5:

y= 15-3(5)

y=15-15

y=0

A copper wire is submerged in a clear liquid in container A. After a while, the contents of the container changed to look like what is in container B, with a white crystal coating on the copper wire and the liquid turning light blue. Which are indicators that a chemical reaction has occurred? Check all that apply.

formation of a flame
formation of a precipitate
formation of a gas
change in odor
change in color

Answers

Answer:

B) formation of a precipitate
E) change in color

Step-by-step explanation:

just did the assignment on e.d.g.e

Answer:

B and E is correct

Step-by-step explanation:

Which is a larger volume, a candle with a height of 6. 3 inches and a radius of 3. 1 inches, or a candle with both a height and a radius of 3. 9 inches?

Answers

Working out:
H = height
R = Radius
A = area

Volume of a cylinder = A x H

Area of circle = Pi x (R^2)

Label the candles, Candle X and Candle Y

(X being the one with 3.1 inches and Y being the one with 3.9)

*CANDLE X*
3.1 x 3.1 = 9.61
9.61 x pi (3.14) = 30.1754
30.1754 x H (6.3) = 190.10502cm^3

*CANDLE Y*
3.9 x 3.9 = 15.21
15.21 x pi (3.14) = 47.7594
47.7594 x H (3.9) = 186.26166cm^3

CANDLE X HAS THE LARGER VOLUME BY 3.84336CM^3

On average, Shawnte drinks of a -ounce glass of water in hour. How much water
does she drink in an hour?

Answers

Answer:

a- ounce glass of water.

Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution(s) 4y - 7 = 5x2 - x 2 3y real solution(s) y = (-x 4)2 real solution(s)

Answers

All the given equations have 2 real solutions except for equation 4 which has only one real root.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

[tex]y = 12x^2 - 9x+ 4[/tex]

where, a = 12, b = -9 and c = 4

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

x = [tex]-(-9)+ \sqrt{(-9)^2 - 4(12)(4)} /2(12)[/tex]

x = 1.063 or -0.313

Second Equation

[tex]10x +y = -x^2 +2 \\y = x^{2} +10x - 2[/tex]

where, a = 1, b = 10, c = -2

substitute the values into the equation

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

[tex]-10 + \sqrt{10^2 - 4(1)(-2)} /2(1)[/tex]

x = 0.195 or -10.195

Third Equation

[tex]4y - 7 = 5x^2 - x +2 +3y[/tex]

[tex]y = 5x^{2} -x -5[/tex]

where, a = 5, b = -1, c = - 5

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

[tex]-(-1) + \sqrt{(-1)^2 - 4(5)(-5)} /2(5)[/tex]

x = 0.905 or -0.55

Fourth Equation

[tex]y = (-x +4)^2 \\y = x^{2} -8x +16[/tex]

where, a = 1, b = -8, c = 16

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

x = [tex]-(-8) + \sqrt{(-8)^2 - 4(1)(16)} /2(1)[/tex]

x = 4

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Answer:

y = 12x2 - 9x + 4

✔ no

real solution(s)

4y - 7 = 5x2 - x + 2 + 3y

✔ no

real solution(s)

10x + y = -x2 + 2

✔ two

real solution(s)

y = (-x + 4)2

✔ one

real solution(s)

Step-by-step explanation:

hope this helps:)

Lorne subtracted 6x3 – 2x 3 from –3x3 5x2 4x – 7. use the drop-down menus to identify the steps lorne used to find the difference. 1. (–3x3 5x2 4x – 7) (–6x3 2x – 3) 2. (–3x3) 5x2 4x (–7) (–6x3) 2x (–3) 3. [(–3x3) (–6x3)] [4x 2x] [(–7) (–3)] [5x2] 4. –9x3 6x (–10) 5x2 5. –9x3 5x2 6x – 10

Answers

The difference between the polynomial is [tex]\rm 9x^3-5x^2-6x+10[/tex].

What is subtraction?

The subtract means to take away from a group or a number of things.

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7.

The difference between the expression is;

[tex]\rm ( 6x^3 - 2x + 3 )- (-3x^3 + 5x^2 + 4x - 7)[/tex]

[tex]\rm 6x^3 - 2x + 3 +3x^3 -5x^2 -4x +7\\\\9x^3-5x^2-6x+10[/tex]

Hence, the difference between the polynomial is [tex]\rm 9x^3-5x^2-6x+10[/tex].

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