Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. A. 4. 9 b. 8. 5 c. 14. 6 d. 17. 1.

Answer:

comic books = 2

magazines = 15

Step-by-step explanation:

Let c = number of comic books bought

Let m = number of magazines bought

He bought 17 items, so

c + m = 17

Comic books cost $4 each and magazines cost $3 each.

He spent $53 on comic books and magazines, so

4c + 3m = 53

Rearrange c + m = 17 to make m the subject:

m = 17 - c

Substitute  m = 17 - c  into  4c + 3m = 53  and solve for c:

4c + 3(17 - c) = 53

⇒ 4c + 51 - 3c = 53

⇒ c = 2

Substitute c = 2  into m = 17 - c to and solve for m:

m = 17 - 2 = 15

Answer:

138 degrees

Step-by-step explanation:

its a cointerior angle so the angles add up to 180

so 180 - 42 = 138

Answer:

Step-by-step explanation:

If angle 4 has a measure of 42° in the given diagram, what is the measure of angle 6?

T is a flat angle (180°)

angle 4 = angle 8

angle 2 = angle 6

180 - 42 = 138°

Answer:

b)

Step-by-step explanation:

9 × (588/2)

= 9 × (294)

= 2646

Answer:

10 2/3 = 10.6667

27 1/2 = 27.5

Step-by-step explanation:

8 ÷ 3/4

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{8}{1}[/tex] ÷ [tex]\frac{3}{4}[/tex]

Applying the fractions formula for division,

[tex]=\frac{8*4}{1*3}[/tex]

=[tex]\frac{32}{3}[/tex]

Simplifying 32/3, the answer is

[tex]10 \frac{2}{3}[/tex]

Decimal Form = 10.6667

=================================================================

11 ÷ 2/5

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{11}{1}[/tex] ÷ [tex]\frac{2}{5}[/tex]

Applying the fractions formula for division,

[tex]=\frac{11*5}{1*2}[/tex]

=[tex]\frac{55}{2}[/tex]

Simplifying 55/2, the answer is

27 1/2

Decimal Form = 27.5

[RevyBreeze]

Answer:

P = 35.98 cm

Step-by-step explanation:

The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.

The circumference of a circle is the perimeter of the whole circle.

C = 2pi•r or pi•d

C = 2pi•7 = 14pi

But you only need half, so 14pi/2 is 7pi.

ADD the straight part and the curved part to get the whole distance around the shape

P = 14 + 7pi

P ~= 35.98 cm

See image

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 239.99}}{\left( \cfrac{60}{100} \right)239.99}\implies 143.994~\hfill \underset{\textit{sale price}}{\stackrel{239.99-143.994}{\approx 96}}[/tex]

Answer:

See below

Step-by-step explanation:

Problem 4

[tex]H_0:p=0.40\\H_a:p>0.40[/tex]

Problem 5

[tex]H_0:p=0.42\\H_a:p<0.42[/tex]

Make sure to read the problems and translate it into math

The initial height of the ball is the y-intercept of the function

The initial height she threw the ball from is 35

The function is given as:

[tex]h(x) = -16x^2 + 3x +35[/tex]

Set x = 0.

So, we have:

[tex]h(0) = -16 * 0^2 + 3*0 +35[/tex]

Evaluate the exponent

[tex]h(0) = -16 * 0 + 3 * 0 + 35[/tex]

Evaluate the products

[tex]h(0) = 0 + 0 + 35[/tex]

Evaluate the sum

[tex]h(0)= 35[/tex]

Hence, the initial height she threw the ball from is 35

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Answer:

30

Step-by-step explanation:

Since there are 900 today, and the variants square each day, we can take the square root of 900.

[tex]\sqrt{900} =30[/tex]

900 = q^2, so q = 30, so yesterday there were 30 variants

Answer: Given what i know about probability, you can determine if smoking and lung cancer are related by testing a group of smokers and non smokers and finding out the percent of each that develope lung cancer and the percent that dont for both

Step-by-step explanation:

Answer:

29 if I’m Wrong I’m sorry

Step-by-step explanation:

Answer:

F=ma

Mass is in kg, so we have mass= 4.0kg

since we have a= 2.0 m/s² and m= 4.0kg

F=ma

F= 4.0 x 2.0

F= 8.0N

Answer:

7 (y + 12)

Step-by-step explanation:

7 times y = 7y

7 times 12 = 84

7 (y + 12)

Answer:

y+12

Step-by-step explanation:

Divide 7y and 84 by 7

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex]-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Thus,

The product of  [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]

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Answer:

1. Quadrant 2

2. Quadrant 3

Step-by-step explanation:

The quadrants are ordered in a 'c' pattern. The first quadrant has coordinates (x,y). The second quadrant has coordinates (-x,y). The third quadrant has coordinates (-x,-y). The fourth quadrant has coordinates (x,-y).

Answer:

quadrent 2 for question 1 ( negative x positive y) quadrant 3 for number 2 ( negative x and y)

Answer:

1. D

2.A

Step-by-step explanation:

Hey, with question 1 you add all the numbers and divide them by the number of blue marbles. Then we simply simplify it.

Woth question 2 we divide 20 by 200 and simplify it.

Answer:

The dimensions of the park on the scale drawing are 12 inches by 20 inches

The actual dimensions are given as:

Park = 600 feet by 1000 feet

Swing set = 25 feet by 100 feet

The dimension of the swing set on the scale drawing is given as: 0.5 inch by 2 inches

The above means that, the scale factor (k) is:

--- i.e. divide the scale measurement by the actual measurement

Evaluate both equations

So, we have:

Multiply the scale factor by the dimensions of the park, to get the scale measurement

Hence, the dimensions of the park on the scale drawing are 12 inches by 20 inches

Read more about scale measurements at:

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Step-by-step explanation:

Answer:

i cold not find the answer

Step-by-step explanation:

Answer:

   Angle at x is 75°

Step-by-step explanation:

Data :

  Angle at A = 65°

  Angle at B = 40°

According to  the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size

              A + B + C = 180

      65 + 40 + C = 180

        C = 180 - 65 - 40 = 75°

Mark brainliest if you understand

Answer:

3(5+6)

3x5 + 3x6

15 + 18

33

Answer:

-3/4

Step-by-step explanation:

The slope of line passes through the points (-9,10) and (-13,13)​ is -3/4.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

(-9,10) and (-13,13)​

So, slope= (13 - 10)/ ( -13 + 9)

slope= 3 / (-4)

slope= -3/4

Hence, the slope of line is -3/4.

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Answer:

his present age is 6??

Step-by-step explanation:

correct me if im wrong^^

Answer:

Step-by-step explanation:

Find t:

Find t:

Find t:

Answer:

1560

Step-by-step explanation:

25 x 8 x 10 - 22 x 5 x 4 = 2000 - 440 = 1560

Answer:

[tex]A=71\dfrac34 \ \ \textsf{ft}^2[/tex]

Step-by-step explanation:

Area = base x height

⇒ A = 10.25 x 7 = 71.75 = 71 3/4 ft²

Answer:

71 3/4 ft²

Step-by-step explanation:

the area is the product of the base (10 1/4) and height (7)

10.25 x 7 = 71 3/4 ft²

Step-by-step explanation:

the point-slope form in general is

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of a point, and m is the slope.

so, we have

y - -1 = 4/3 × (x - 3)

or simplified

y + 1 = 4/3 × (x - 3)

Answer:

[tex]y + 1 =\frac{4}{3} (x-3)[/tex]

Step-by-step explanation:

We are given that a line contains the point (3, -1), and has a slope of [tex]\frac{4}{3}[/tex].

We want to write the equation of this line in point-slope form.

Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1 ,y_1)[/tex] is a point.

Since we are already given the slope and the point of the line, we can plug these values into the formula to get the equation.

Let's start with the slope; replace m with [tex]\frac{4}{3}[/tex] in the formula.

[tex]y-y_1=\frac{4}{3}(x-x_1)[/tex]

Now, replace 3 as [tex]x_1[/tex] and -1 as [tex]y_1[/tex]. Remember that the formula has subtraction in it.

[tex]y--1=\frac{4}{3} (x-3)[/tex]

This can be simplified to become:

[tex]y + 1 =\frac{4}{3} (x-3)[/tex]

Topic: writing the equation of the line

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