Generating Equivalent Expressions

Simplify the expression

by applying the distributive property & combining like terms.

Show work.

6(x + 4y) + 3x - 20y

Answer:

I'm not 100 percent sure but I think it's the first answer choice because at 40000 3 years have passed. Hope this helps :)

Answer:

The machinery ages three years for every $10,000 loss in value.

Step-by-step explanation:

We can see from the graph that each year, the machinery loses a value of $5,000 (Goes from $50,000 to $45,000 after year one, from $45,000 to $40,000 after year two etc). So we can discount the last two answers.

If it loses $5,000 each year, it loses $15,00 after ageing three years, and $25,00 after five years. Though neither of the first two answers correspond to this, the first answer is closest.

Answer:

You need to attach the picture of the angles

Answer:

right

Step-by-step explanation: because ones left and 1 right

Answer:

6

Step-by-step explanation:      6 9 0

Answer:

Step-by-step explanation:

Number of clips in box A = 40

Number of clips in box B = 23

If Sally took out 6 clips from each box

Remaining clips in box A = 40 - 6 = 34 which is twice of 17

Remaining clips in box B = 23 - 6 = 17

Answer:

Sally took 6 paperclips from each box

Step-by-step explanation:

Paper clips in Box A = 40

Paper clips in Box B  = 23

Let the equal number paperclips removed from each box = x

Number of clips in box A after taking 'x' clips = 40 -x

Number of clips in box B after taking 'x' clips = 23 -x

40 - x = 2*(23 -x)

40 - x = 2*23 - 2*x

40 -x = 46 - 2x  {Add 2x to both sides}

40 - x + 2x = 46          {Combine like terms}

40 + x = 46         {Subtract 40 form both sides }

x = 46 - 40

x = 6

Sally took 6 paperclips from each box

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

Answer: -0.03

sqrt ((0.12 (0.88) / 200) + (0.15)(0.85)/200)

Step-by-step explanation:

The mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.

A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.

The proportion of lockout help requests in the summer population is 12% or 0.12, and the proportion in the winter population is 15% or 0.15. The sample sizes are both 200.

Using these values, we can calculate the mean and standard deviation of the sampling distribution of the difference in sample proportions:

Mean = p₁ - p₂ = 0.12 - 0.15 = -0.03

Standard deviation = √[ (p₁ (1 - p₁) / n₁) + (p₂ (1 - p₂) / n₂) ]

= √[ (0.12 (1 - 0.12) / 200) + (0.15 (1 - 0.15) / 200) ]

= √[ (0.000504) + (0.000525) ]

= √[ 0.001029 ]

= 0.0321

Therefore, the mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.

Learn more about the standard deviation here:

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Answer:

Darlene's dog weighs 10 pounds.

Step-by-step explanation: 5 x 10 = 50 and 50 + 10 = 60 pounds.

Hope this helps.

Answer:

9.055

Step-by-step explanation:

Answer:

x-30

Step-by-step explanation:

Answer: 5(x-2)=40     5x-10 = 40      5x=50    x=10  

Step-by-step explanation:

^

Answer:

62.33 degrees Fahrenheit.

Anytime bestie <3

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

It can't be simplified or added together because one is multiplied by x and the other is not

Step-by-step explanation:

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

Answer:

6.75

Step-by-step explanation:

Add up all the numbers in the data set :

8 + 2 + 5 + 12 = 27

Divide 27 by the total numbers in the data set :

27 ÷ 4 = 6.75

Therefore, the mean if the data set is 6.75

Answer:

B. 5(2x+5)

Step-by-step explanation:

Factor 5 out of 10x+25. and you get 5(2x+5)

Answer:

B. 5(2x + 5

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

obama your mama she looks like joe mama

Answer:

$551.25

Step-by-step explanation:

$450 x 7.5% = 33.75

33.75 x 3 = 101.25

101.25 + 450 = 551.25

Answer:

235.71cm^2

Step-by-step explanation:

Volume of cone = 1/3 pie r^2 h

1/3*22/7*5*5*9

= 235.71cm^2

Volume of a cone is 235.6 cm³.

The volume of a cone is calculated the using the formula:

[tex]V = \frac{1}{3} \pi r^{3} h[/tex]

Given,

         height of the cylinder is, h=9cm.

         The diameter of the base is 10cm. r = 5 cm

    put the values into the formula to get -

          V = [tex]\frac{1}{3} * \pi * 5^{2} * 9[/tex]

         [tex]V = 75 \pi[/tex]

Put value of π = 3. 14 ,

          V = 75 * 3.14

           V =  235.6 cm³

Therefore, Volume of a cone is 235.6 cm³.

Learn more about Volume of a cone  brainly.com/question/1578538

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Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. From this definition,

For sample 1, Every fifth person who enters Little Casesars Arena for a Red Wings game. This is not biased because no person is more likely to be selected than another

For sample 2, Every tenth name in the phone. This is also not biased

because no person is more likely to be selected than another

Answer:

slope = 0  

Step-by-step explanation:

To find the slope of a line that passes between a pair of points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the points (3,2) and (-1,2) into the formula and simplify:

[tex]m = \frac{(2)-(2)}{(-1)-(3)} \\m = \frac{2-2}{1-3} \\m = \frac{0}{-2} \\m=0[/tex]

So, the slope is 0.

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

Answer:

pirwvjihpwrugh

Step-by-step explanation:

wrhfuwhfuhugfrifhi

Answer:

not possible

Step-by-step explanation:

It can't be possible because the ratio would be 50:1 is possible

the answer is 28 hoped that helped

Answer:

x=28 (B)

Step-by-step explanation:

x = 28 (B)

You need to subtract 19 from both sides to get 28.

Answer:

15 C

Step-by-step explanation:

C = 5/9( F - 32)

Let F = 59

C = 5/9( 59 -32)

Parentheses first

   = 5/9( 27)

   = 15

Answer:

16

Step-by-step explanation:

count the dots. each is one observation

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = [tex]180^{o}[/tex]

51 + 44 + <R = [tex]180^{o}[/tex]

95 + <R = [tex]180^{o}[/tex]

<R = [tex]180^{o}[/tex] - 95

    = [tex]85^{o}[/tex]

<R = [tex]85^{o}[/tex]

Applying the Sine rule, we have;

[tex]\frac{q}{SinQ}[/tex] = [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

Using [tex]\frac{r}{SinR}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{r}{Sin 85}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

r = [tex]\frac{2.3*Sin85}{sin51}[/tex]

  = 2.9483

r = 2.9 inches

Also, [tex]\frac{q}{SinQ}[/tex] = [tex]\frac{s}{SinS}[/tex]

[tex]\frac{q}{Sin44}[/tex] = [tex]\frac{2.3}{Sin51}[/tex]

q = [tex]\frac{2.3*Sin44}{Sin51}[/tex]

  = 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = [tex]\sqrt{s(s-q)(s-r)(s-s)}[/tex]

s = [tex]\frac{2.3 + 2.0 + 2.9}{2}[/tex]

  = 3.6

Area of ΔQRS = [tex]\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}[/tex]

                        = 2.2895

Area of ΔQRS = 2.3 square inches

Answer:

2.4

Step-by-step explanation: