19. Charlene Levington operates an oil change and tune-up service. She charges $33.95 per oil change. Tune-up is $72.50 for a four- cylinder engine, $82.50 for a six-cylinder engine, and $92.50 for an eight-cylinder engine. What are the charges for a week in which Charlene's facility did 35 oil changes and tuned 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines?​

Hi there! :)

Answer:

[tex]\huge\boxed{v = -5}[/tex]

-8v + 3(v - 3) = 16

Distribute the 3:

-8v + 3(v) + 3(-3) = 16

-8v + 3v - 9 = 16

Combine like terms and simplify:

-5v - 9 = 16

-5v - 9 + 9 = 16 + 9

-5v = 25

Divide both sides by -5:

-5v/(-5) = 25/(-5)

v = -5.

Answer:

4x^3 + 18x^2 - 10x.

Step-by-step explanation:

(c.d)(x) = (4x - 2)(x^2 + 5x)

= 4x^3 + 20x^2 - 2x^2 - 10x

= 4x^3 + 18x^2 - 10x.

Answer:

-4

Step-by-step explanation:

We are given the expression:

[tex]x-5[/tex]

and asked to evaluate for x=1. Therefore, we must substitute 1 in for x.

[tex]x-5, x=1[/tex]

[tex]1-5[/tex]

Perform the operation. Subtract 5 from 1.

[tex]-4[/tex]

The expression x-5 when evaluate for x=1 is equal to -4.

Answer:

-2

Step-by-step explanation:

Answer:

k=-2

Step-by-step explanation:

isolate the viarable by dividing each side by factors that  contain the  variable

Answer: 2/3 cups

Step-by-step explanation:

To find out how many cups of baking soda are needed for each cup of vinegar divide the number of cups of baking soda by the number of cups of vinegar  

2/3 = 0.6666..

Which means you need 2 thirds cups of soda for each cup of vinegar.

Answer:

22

Step-by-step explanation:

Answer:

The correct answer is C hope this helps :)

Step-by-step explanation:

Answer:

[tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5\sqrt{27} -17\sqrt{3} =5*3\sqrt{3} -17\sqrt{3}[/tex]

[tex]=15\sqrt{3} -17\sqrt{3}[/tex]

=[tex]-2\sqrt{3}[/tex]

=x3−3x2+7x−3

your answer is B

Answer:

168miles

Step-by-step explanation:

if it travels 126 miles in 3 hours

then in 1 hour it travels 126÷3 = 42miles

4 hours= 4×42= 168 miles

Answer:

35

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

3 + 2(13 - 17)²

Step 2: Parenthesis subtraction

3 + 2(-4)²

Step 3: Exponent

3 + 2(16)

Step 4: Parenthesis multiplication

3 + 32

Step 5: Add

35

Answer:

2.44948974278

sqrt(6)

Answer:

2

Step-by-step explanation:

First let’s add the x, y into the fraction.

16/4(2)

Now simplify,

16/8=

2/1=

2

Answer:

Step-by-step explanation:

The first thing you have to do, is rewrite the given expression

[tex]Ar^{-2} = \frac{A}{r^{2} }[/tex]

Then you plug in the given values

[tex]\frac{A}{r^{2} } = \frac{50.265}{4^{2} }[/tex]

Finally you simplify

[tex]\frac{50.265}{4^{2} }=\frac{50.265}{16} = 3.142[/tex]

Answer:

C. Circle X, circle Z, circle Y

Step-by-step explanation:

Given

Circles X, Y and Z

Required

Order from greatest to highest

First, we need to simplify the given areas;

For Circle X

[tex]A = 9\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A = 9 * 3.14[/tex]

[tex]A = 28.26[/tex]

For Circle Y

[tex]A = \frac{\sqrt3}{2}[/tex]

This gives

[tex]A = \frac{1.732}{2}[/tex]

[tex]A = 0.866[/tex]

For Circle Z

[tex]A = 27.5[/tex]

By comparing the above areas;

X has the largest area; followed by Z and then Y

Hence,

option C answers the question

Answer:

x,z,y

Step-by-step explanation:

Answer:

1728

Step-by-step explanation:

[tex]3 \times 3 \times 3 \times 4 \times 4 \times 4 \\ [/tex]

[tex] = > {3}^{3} \times {4}^{3} [/tex]

As both 3 & 4 have same exponent , the bases will get multiplied with exponent as 3.

[tex] = > {(3 \times 4)}^{3} [/tex]

[tex] = > {12}^{3} = 1728[/tex]

1728 is the value of  3x3x4x4x3x4

A number system is defined as a system of writing to express numbers.

The given expression is  3x3x4x4x3x4

The operator in the given expression is multiplication.

Which is also know as product

Multiplication is a method of finding the product of two or more numbers

3x3x4x4x3x4 can be written in exponent form.

As three is multiplied three times we can take as 3³

four  is multiplied three times we can take as 4³

So 3³×4³

27×64

1728

Hence, 1728 is the value of  3x3x4x4x3x4

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z

Step-by-step explanation:

Solve for θ:

sin(90 - 5 θ) = cos(180)

Hint: | Express the right hand side in terms of sine.

Rewrite the right hand side using cos(θ) = sin(θ + π/2):

sin(90 - 5 θ) = sin(π/2 + 180)

Hint: | Eliminate the sine from the left hand side.

Take the inverse sine of both sides:

90 - 5 θ = -180 + π/2 + 2 π n_1 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Look at the first equation: Isolate terms with θ to the left hand side.

Subtract 90 from both sides:

-5 θ = -270 + π/2 + 2 π n_1 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Solve for θ.

Divide both sides by -5:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or 90 - 5 θ = 180 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Look at the second equation: Isolate terms with θ to the left hand side.

Subtract 90 from both sides:

θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or -5 θ = 90 + π/2 + 2 π n_2 for n_2 element Z

Hint: | Solve for θ.

Divide both sides by -5:

Answer: θ = 54 - π/10 - (2 π n_1)/5 for n_1 element Z

or θ = -18 - π/10 - (2 π n_2)/5 for n_2 element Z

Answer:

27 Chickens

Step-by-step explanation:

Represent the chicken with A and the cows with B

Given

[tex]A + B = 30[/tex]

A has 2 legs and B has 4; So:

[tex]2A + 4B = 66[/tex]

Required

Determine A and B

Make B the subject of formula in the first equation

[tex]B = 30 - A[/tex]

Substitute 30 - A for B in the second equation

[tex]2A + 4(30 - A) = 66[/tex]

Open the bracket

[tex]2A + 120 - 4A = 66[/tex]

Collect Like Terms

[tex]2A - 4A = 66 - 120[/tex]

[tex]-2A= -54[/tex]

Divide through by -2

[tex]A = 27[/tex]

Hence, the farmer has 27 chickens

Answer:

a

Step-by-step explanation:

Precision means that a measurement using a particular tool or implement produces similar results every single time it is used. For example, if you step on a scale five times in a row, a precise scale would give you the same weight each time. In math and science, calculating precision is essential to determine if your tools and measurements work well enough to get good data. You can report precision of any data set using the range of values, the average deviation, or the standard deviation.

Answer:

A: irrational

B: whole number

C: rational

D: irrational

E: natural

F: irrational

G: integer

H: irrational

I: rational

J: irrational

K: rational

Step-by-step explanation:

This is a common knowledge of equivalent fractions.

Multiplying both the numerator and denominator of a fraction by the same quantity does not change the value of the fraction.

Not only multiplication, but division also works. What ever operation performed on the numerator must also be performed on the denominator.

1/2 = 2/4 = 4/8 = 16/32

Answer:

A) x = -4

Step-by-step explanation:

[tex]3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4[/tex]

Answer:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees, while acute angles have a measure that is less than 90 but greater than 0.

Step-by-step explanation:

Obtuse angles have a measure that is greater than 90 but less than 180 degrees because 180 degree angle is a straight angle. Any angle that is greater than 181 but less than 360 degrees is known as a reflex angle. Acute angles have a measure that is less than 90 but greater than 0 because anything with a higher of lower degree of measure would be consider a different angle.

Answer:

D

Step-by-step explanation:

all is correct but from 2 to 3 you add +4 to both sides

Answer:

5/12 cake was left for everyone else

Step-by-step explanation:

1/4 + 1/3

convert so denominators are equal

1/4 x 3 = 3/12

1/3 x 4 = 4/12

3/12+4/12=7/12

12/1-7/12= 5/12

Answer:

4/9

Step-by-step explanation:

Answer:

The anwser I got was 59.7

Step-by-step explanation:

I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7