Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 54 hours a week. He routinely completes at least 4 shocks replacements and 6 brake replacements a week. If he charges $450 for labor replacing shocks and $200 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements and ? brake replacements every week to maximize his weekly income

Answer:267.9 in³? Dk if it's right or wrong, forgive me.

Answer:

V = 267.9 in.³

Step-by-step explanation:

Diameter reduced by half = 16/2 = 8 inches

Radius = 4 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4

=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]

=> V = 804.2/3

=> V = 267.9 in.³

Answer:

23

Step-by-step explanation:

87=x+(x+12)+(x-3)

87=3x+9

3x=78

x=26

This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.

Answer:

C

Step-by-step explanation:

Answer:

2,451 inches.

Step-by-step explanation:

Formula for volume of a cylinder = V=πr2h

r = 13 inches

h = 30 inches

π=22/7 or 3.14

V = 3.14 × 13 × 2 × 30

= 2,451.43

Answer is 2,451.43

Answer:

y = 5x + 8

Step-by-step explanation:

If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.

5x - y = 4 and solving for y:

-y = -5x + 4 and solving for positive y:

y = 5x - 4

So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:

y - (-2) = 5(x - (-2)) and

y + 2 = 5(x + 2) and

y + 2 = 5x + 10 so

y = 5x + 8

Answer:

Circumference

(22÷7)×14.7×2 = 92.4cm

Answer:

x = [tex]\frac{17}{3}[/tex]

Step-by-step explanation:

[tex]\frac{10}{x-4}=6\\\\[/tex]

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides  by 6

6x/6 = 34/6

x = [tex]\frac{17}{3}[/tex]

Answer:

y=-6x+1

Step-by-step explanation:

Answer:

The coordinate plane where the point is 1 unit to the left and 3.5 units down

Step-by-step explanation:

On a coordinate plane the negative side is left and down and positive is up and right so you can eliminate any answer with up or right. The point says its (-1,-3.5) which means it will be 1 to the left making it -1 and 3.5 down which will make it -3.5.

Answer:

D

Step-by-step explanation:

Edge 2020

Step-by-step explanation:

v = 1/3πr²h

1/3×314/100×4×4×7

11,722.666round off

11722.67

formula =v= 3.14×radius×radius ×height ×3

Step-by-step explanation:

pie×radius×squared ×7×3

=117.29

when we round it to the nearest hundredth

its=117.29m squared

Answer:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Step-by-step explanation:

We have the following probabilities given:

[tex] P(A)= 0.48, P(B)= ?, P(A \cap B)= 0.21, P(A \cup B) =0.89[/tex]

And for this case we can use the total rule of probability given by:

[tex] P(A \cup B) = P(A) +P(B) -P(A\cap B)[/tex]

And if we solve for [tex] P(B) [/tex] we got:

[tex] P(B)= P(A \cup B) -P(A) +P(A \cap B)[/tex]

And replacing we got:

[tex] P(B) = 0.89 -0.48 +0.21= 0.62[/tex]

Answer:

0.62

Step-by-step explanation:

Answer:

[tex] 3\frac{5}{6} [/tex]

solution,

[tex]5 \frac{3}{4} \div 1 \frac{1}{2} \\ = \frac{5 \times 4 + 3}{4} \div \frac{2 \times 1 + 1}{2} \\ = \frac{20 + 3}{4} \div \frac{2 + 1}{2} \\ = \frac{23}{4} \div \frac{3}{2} \\ = \frac{23}{4} \times \frac{2}{3} \\ = \frac{23}{6} \\ = 3 \frac{5}{6} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

23/6=3 5/6

Step-by-step explanation:

5  3/4=(4*5+3)/4=23/4

1 1/2=(2*1+1)/2=3/2

23/4:3/2=23/4*2/3=23*2/4*3=23/2*3=23/6

Answer:

24

Step-by-step explanation:

4m = 4 * m = 4 * 6 = 24

Answer:

There are 26 students in the class

Step-by-step explanation:

Let n millilitres be the solution in the beaker

Let x be the number of students in a class

He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.

So, Solution distributed = 3x

Remaining solution = n-3x

So, n-3x = 5 ----1

In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.

So, n-4x=-21 -----2

Substitute the value of n from 1 in 2

So, 5+3x-4x=-21

5-x=-21

26=x

Hence There are 26 students in the class

Step-by-step explanation:

C=2×pi×r

8.61=2pi*×r

8.61÷2pi=13.52 radius

A=pi×r^2

pi×13.52^2=574.25 area

Answer: a.) (3x +1)(2x +3)

Step-by-step explanation:

The factors that work to get the middle term, 11x, are 3×3x = 9x and 1×2x=2x. 2x +9x = 11x

Answer:

if x doubles y will be 2y &if x triples the value will be 3y

Answer:

f = 10, g = 4.8 cm

Step-by-step explanation:

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

So,

Area of ADE = 60-48

=> 12 cm²

Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where Area = 12 cm², Base = 4 cm

12 = [tex]\frac{1}{2}(4)(Height)[/tex]

Height = 12-2

Height = 10 cm

Where Height is AD

So, AD = 10 cm

Also, AD is parallel and equal to BC[tex](f)[/tex]

So,

f = 10 cm

Now, Finding g

Area of ABCD = [tex]Base * Height[/tex]

Where Area = 48 cm², Base = 10 cm

48 = 10 * Height

Height = 48/10

Height = 4.8 cm

Whereas, Height is g

So, g = 4.8 cm

Answer:

Width: [tex]10y^6[/tex]

Length: 7y² + 3

Step-by-step explanation:

Step 1: Factor out 10

[tex]10(7y^8+3y^6)[/tex]

Step 2: Factor out [tex]y^6[/tex]

[tex]10y^6(7y^2+3)[/tex]

According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).

Answer:

The correct answer to the following question will be Option B (15).

Step-by-step explanation:

The given values is:

LN = 30 cm

Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.

So that,

⇒  [tex]LP=\frac{1}{2}\times LN[/tex]

On putting the estimated value, we get

⇒        [tex]=\frac{1}{2}\times 30[/tex]

⇒        [tex]=15[/tex]

Therefore, Option B seems to be the appropriate one.

Answer:

x=8.5

y=-3.5

Step-by-step explanation:

lets say  x=5-y

substituting x in the other equation gives -3(5-y)+2y=5

-15+3+2y=5

2y=5+15-3

2y=17

y=8.5

from equation 1    : x+8.5=5

x=5-8.5

x=-3.5

Answer:

Please see the attached picture for full solution...

Hope it helps...

Good luck on your assignment...

Answer:

n=-5

Step-by-step explanation:

y^5*y^n= y^5+n when multiply , add exponents

y^5+n/y^2= y^(5+n)-2 divide, subtract exponents

y^(5-5-2) =y^-2

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

Answer:

b=1/4a+1

Step-by-step explanation:

Step 1: Add -2b to both sides.

2a+6b−4+−2b=3a+2b+−2b

2a+4b−4=3a

Step 2: Add -2a to both sides.

2a+4b−4+−2a=3a+−2a

4b−4=a

Step 3: Add 4 to both sides.

4b−4+4=a+4

4b=a+4

Step 4: Divide both sides by 4.

4b/4 = a+4/4

b=1/4a+1

Please mark brainliest

Hope this helps.

Answer:

the answer is A

Step-by-step explanation:just took the test

Answer:

[tex]2[/tex]

Step-by-step explanation:

In order to find the answer to this question use PEMDAS and solve.

[tex]10+(8\times3)-32[/tex]

P goes first:

[tex]8\times3=24[/tex]

[tex]10+24-32[/tex]

A goes next:

[tex]10+24=34[/tex]

S goes last:

[tex]34-32=2[/tex]

[tex]=2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

10 + (8 x 3) - 32

So I’m assuming the x represents multiplication

10 + (8*3) - 32

In Pemdas parenthesis is always first

(8*3)=24

10+24-32

Then addition

10+ 24=34

34-32=2

Answer: 57°

Step-by-step explanation:

Bisecting makes angle ZXY=ZXW. So 58+58=116.

Then solve. 2x+2=116.

2x=114

x=57

Answer:

a^2 -2ab + b^2

Step-by-step explanation:

(−a+b)(b–a)

FOIL

first : -a*b = -ab

outer: -a * -a = a^2

inner +b * +b = b^2

last: b* -a = -ab

Add  them together

-ab+a^2 + b^2 -ab

Combine like terms

a^2 -2ab + b^2

Answer:

a^2+b^2-2ab

Step-by-step explanation:

(-a+b)(b-a)=

first mutiply -a(b-a)=-ab+a^2

second multiply b(b-a)=b^2-ab

then add : -ab+a^2+b^2-ab= a^2+b^2-2ab

Answer:

(x+1)(2x+3)=0 is the answer

Step-by-step explanation:

2x²+5x=-3

2x²+5x+3=0

2x²+3x+2x+3=0

x(2x+3)+1(2x+3)=0

(x+1)(2x+3)=0

i hope this will help you :)

Answer:

Cost of loaf of bread in 1983 is 90 cents

Step-by-step explanation:

Mathematically;

CPI = Cost of market in given year/cost of market in base year * 100

From the question,

CPI = 323

cost of market in given year =2.89

cost of market in base year = ?

323 = 2.89/c * 100

323c = 289

c = 289/323

c = 0.8947

which is approximately 90 cents

Answer:

B; Subconjunto

Step-by-step explanation:

Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.

La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.

Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande