Any value that makes an equation true is a _____

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

Answer:

11/19

Step-by-step explanation:

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.

Step-by-step explanation:

so take 9/10 and turn 4/10 into 10/10 and the when you divied  use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40

Then you just take the zero's off and you have 9/4 which equals 2 and 1/4

2 and 1/4 is your answer.

Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

(+) (-)

7x = -21

X= -3

plz mark ice bear as Brainliest

Answer:  17) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

17) a = 29, b = 13, c = 21, C = ???

   c² = a² + b² - 2ab · cos C

21² = 29² + 13² - 2(29)(13) · cos C

441 = 841 + 169 - 754 cos C

441 = 1010 - 754 cos C

-569 = -754 cos C

[tex]\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C[/tex]

41.0° = C

18) a = 29.3, b = 25.7, c = 16.8, B = ???

   b² = a² + c² - 2ac · cos B

25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B

660.49 = 858.49 + 282.24 - 984.48 cos B

660.49 = 1140.73 - 984.48 cos B

-480.24 = -984.48 cos B

[tex]\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B[/tex]

60.8° = B

19) a = 12, b = 19, c = 11, A = ???

   a² = b² + c² - 2bc · cos A

12² = 19² + 11² - 2(19)(11) · cos A

144 = 361 + 121 - 418 cos A

144 = 482 - 418 cos A

-338 = -418 cos A

[tex]\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A[/tex]

36.0° = A

20) a = 10, b = 9, c = 18, A = ???

   a² = b² + c² - 2bc · cos A

100² = 9² + 18² - 2(9)(18) · cos A

100 = 81 + 324 - 324 cos A

100 = 405 - 324 cos A

-305 = -324 cos A

[tex]\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A[/tex]

19.7° = A

Answer:

7) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Answer:

-6x² + 5x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables.

Reorder based on descending powers:

-5x² - x² + 7x - 2x + 10 + 5

(-5x² - x²) + (7x - 2x) + (10 + 5)

(-6x²) + (5x) + (15)

-6x² + 5x + 15 is your answer.

~

Answer:

Six miles

Step-by-step explanation:

You multiply the two by the three (2x3) and get six (6)

Answer:

Largest is  [tex]x_2 = \$ 63.506[/tex]

Smallest is  [tex]x_1 = \$ 45.29[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$ 54.40[/tex]

   The  standard deviation is  [tex]\sigma = \$ 13.50[/tex]

The largest and the smallest amount spent by 50% of the costumer is mathematically represented as

        [tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]

=>    [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]

Given that this is normally distributed we have that

      [tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]

and

    [tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]

From the normal distribution curve that z-score having a probability of 0.25 is  

0.6745

So

    [tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]

=>  [tex]x_1 = \$ 45.29[/tex]

and  

   [tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]

=>  [tex]x_2 = \$ 63.506[/tex]

Answer:

Equation for new diameter: |d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.60 inches

Maximum possible diameter = 8.70 inches

Step-by-step explanation:

We are told that:

Ball specifications require a diameter (d) = 8.65 inches.

Allowable margin of error = 0.05 inch

Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;

|d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.65 - 0.05 = 8.60 inches

Maximum possible diameter = 8.65 + 0.05 = 8.70 inches

Answer: 13000.00mg :) hope this helps

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

Answer:

8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Distribute

-6x + 20 = 15

C

just distribute

hope it helps

Answer:

a

[tex]w =  11.58 \ rad/minutes[/tex]

b

[tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Step-by-step explanation:

From  the question we told that

    The radius of the wheel is  [tex]r = 38 \  ft[/tex]

     The  speed of the passenger is  [tex]v  =  5 \  miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]

  Generally the angular speed is mathematically represented as

     [tex]w =  \frac{v}{r}[/tex]

=>   [tex]w =  \frac{7.3}{ 38}[/tex]

=>   [tex]w =  0.193 \ rad/s[/tex]

now converting the seconds to minutes

        [tex]w =  0.193 *60[/tex]

        [tex]w =  11.58 \ rad/minutes[/tex]

Generally number of revolutions the wheel makes per minutes is mathematically represented as

     [tex]R = \frac{11.58 }{2 \pi}[/tex]

      [tex]R = 1.84 \ rpm[/tex]

Generally number of revolutions the wheel makes per hour  is mathematically represented as

       [tex]R_h  =   R *  60[/tex]

=>     [tex]R_h  =  1.84 * 60[/tex]

=>    [tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Answer:

divided

Step-by-step explanation:

divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.

Answer:

(0,-2)

Step-by-step explanation:lol rsm hw

ok so just take average of two points (-1, -2) (1, -2)

-1+1=0/2=0

-2+(-2)=-4/2=-2

You can do this with B and D too

Have fun in rsm

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

Answer

56

Step-by-step explanation:

i do it on usa test prep

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

Answer:

19

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

If you have a repeating decimal it doesn't matter who many decimal digits there are. Most repeating decimals I have encountered end up converting into a fraction that has a denominator of 9.

Hope This Helps :)

Answer:

It depends

Step-by-step explanation:

It depends on what the repeating decimal is. For instance if the decimal is a repeating 8 then you only have to use one digit. If, however, it is something like .673673673 going on forever you just need however many until it loops again. In this case you would need three, because that is how long the loop is.

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

Answer:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

It is a measure of how much the function changed per unit, on average, over that interval.

Answer:

360 calories

Step-by-step explanation:

you divide 3 by 3/4ths and you get 4. You then multiply 90 by 4 and the solution is 360 calories.

Answer:

360

Step-by-step explanation:

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%