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Consider the expression 2(−2y+8).

Identify the equivalent expression below that demonstrates distributive property.

Answer:

       x = 9

Step-by-step explanation:

        5          9

 (x -  (—— • x)) -  —  = 0  

        10          2

Simplify   1/2

     1          9

 (x -  (— • x)) -  —  = 0  

        2          2

                   x = 9

Answer:

x = 9

Step-by-step explanation:

Firstly, you have to balance the equation.

Start by subtracting 0.5 from both sides. Remember, when solving algebraic equations such as this one, you use reverse PEMDAS, or SADMEP.

Now, you have 0.5x = 4.5

Now, for the next step: division. Divide both sides by 0.5, or in other words, multiply by 2.

x = 9

Hope that helps! Please don't hesitate to contact me if you have any questions :)

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

-3 = a*0 + b

b = -3

x = 3 -> y = -2

-2 = 3a - 3

3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

Answer:

A.) y = one-third x + StartFraction 10 Over 3 Endfraction

Step-by-step explanation:

Answer:

Step-by-step explanation:

Work finished by Francesca  in one hour = 1/6

Work finished by Irvin in one hour = 1/4

Work finished by Francesca and Irvin in one hour = 1/6 +1/4

                                                             [tex]=\frac{4}{24}+\frac{6}{24}\\\\=\frac{10}{24}\\\\=\frac{5}{12}\\[/tex]

5/12 of the work is completed by both in an hour

Whole work will be completed in 1*12/5 =12/5 hours = 2 2/5 hours

                                                  = 2 hours 24 minutes

Answer:

7x12x2=168 I think but how did u do this

The right answer is 244 cm^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Stay safe....

Answer:

[tex]K=\frac{2}{3}[/tex]

Step-by-step explanation:

I just used the first point. (3, 2).

Since [tex]K=\frac{y}{x}[/tex]

y = 2

x = 3

[tex]K=\frac{2}{3}[/tex]

Answer: the median is 69

Step-by-step explanation:

you organize the numbers from smallest to biggest from there you find the middle and if there is no middle get the two middle numbers and add them from there you divide what you got by 2

Answer:

C = 95 degrees

Answer:

Up from zero

Step-by-step explanation:

The 4 in the ordered pair is positive, meaning it will be 4 ABOVE zero.

It won't be down from zero because it is not -4

Answer:

You would have to go up from zero.

Step-by-step explanation:

Answer: 1.3 + 8.7 = 10

Step-by-step explanation:

Hope this helps

Answer:

1372

Step-by-step explanation:

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

If radius of the sphere=7 Inches

Volume[tex]=\dfrac{4}{3}\pi *7^3[/tex]

[tex]=\dfrac{1372\pi}{3}$ cubic inch[/tex]

Therefore, 1372 is the value that should be multiplied by Pi in the numerator to correctly show the volume of the sphere.

Answer:

1372

Step-by-step explanation:

just took the quiz

Answer:

4

Step-by-step explanation:

Since ABC is similar to ADE by AA (the triangles share angle A and a right angle), they must have equal proportions. Therefore:

[tex]\dfrac{x}{4}=\dfrac{12}{4+8}[/tex]

Therefore, x=4. Hope this helps!

Answer:

x=4

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             4

------ = ----------

12         (4+8)

Using cross products

12x = 4*12

Divide each side by 12

12x/12 = 48/12

x=4

Answer:

The first 3 terms are 12, 17 and 24.

Step-by-step explanation:

You have to put in n = 1, 2, 3 as they want only first 3 terms :

[tex]Tn = {n}^{2} + 2n + 9[/tex]

[tex]T1 = {1}^{2} + 2(1) + 9 = 12[/tex]

[tex]T2 = {2}^{2} + 2(2) + 9 = 17[/tex]

[tex]T3 = {3}^{2} + 2(3) + 9 = 24[/tex]

Answer:

558,000

Step-by-step explanation:

First you multiple 10 by the power of 5 = 10 x 10 x 10 x 10 x 10 = 100000 x 5.58 = 558,000

Answer:

Step-by-step explanation:

Yes, this graph passes the vertical line test (Answer D)

Answer:

B

Step-by-step explanation:

B $10,476.75 WAS THE AMOUNT WHICH WAS CUT

57250 X 18.3=1047675/100=10476.75

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]\frac{Yellow Tint}{Blue Tint}[/tex]

Answer:

It should be about 67%.

Step-by-step explanation:

The ratio 2:3 is the same as the fraction 2/3.

2 divided by 3 is equal to 0.66666...

When it is rounded to the hundredths place, it is 0.67.  

This means that the percentage is 67%.

Answer:

The enlarged object would be 150% larger, but the enlargement itself makes the new picture 50% larger than before as the previous size was already considered 100%.

Step-by-step explanation:

It is much easier to picture this with nice numbers.

Let's say you start with a paper that is size 100 (these numbers have no real meaning they are just for illustrating a point), this would be the 2 in the ratio so the equality would look like: [tex]\frac{2}{3}[/tex]=[tex]\frac{100}{x}[/tex]. At this point you can cross multiply and divide, getting 2x=300. By dividing by 2, you get x=150.

Now percents are out of 100, and you have one of those, only right now it is on the top. All you have to do is flip the fraction, you get [tex]\frac{150}{100}[/tex]=150% is how much it was enlarged when compared to the original, it got 1.5 times larger (you can flip the fraction because you are looking to see how much bigger it got in relation to the starting size).

However, if you are looking for only the enlargement as a percent of the total the answer would be 50% since the new size 150 is 50 larger than 100 and [tex]\frac{50}{100}[/tex]=50%.

Answer:

i got 20

sorry if this is wrong

Step-by-step explanation:

Answer:

57,120.00

Step-by-step explanation:

i think this is the answer but im not 100% sure sry luv

Answer:

1120

Step-by-step explanation:

Answer: The mode is 92.

Step-by-step explanation: The mode means the number that comes up the most times, and 92 is there twice, and all the others once so 92 is the a mode.

I think it would require 100 workers since 1 worker digs up 1 yard.

Hope this helps.

It is found that 100 workers are needed to dig a 100 yards long in 100 hours

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Five workers dig a trench 5 yards long in 5 hours.

We need to find workers are needed to dig a 100 yards long in 100 hours.

5 workers dig , 5 yards long = 5 hours.

1 yards long = 1 hours.

Thus, 100 workers dig a 100 yards long in 100 hours.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

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Answer:

The correct answer will be "1.60 hours".

Step-by-step explanation:

Within this test case, let's suppose that the bookstore had been closed on Sundays every other day while there were a total of 5 Sundays throughout the month of thirty days, thus effectively.

Months = 30

Number of sundays = 5

⇒  [tex]Effective \ working \ days = Months - Number \ of \ Sundays[/tex]

⇒                                          [tex]=30-5[/tex]

⇒                                          [tex]=25[/tex]

As we know, the total spend time will be 40 hours, then

⇒  [tex]Time \ spend \ each \ day = \frac{Total \ time \ spens}{Working \ days}[/tex]

On putting the estimated values, we get

⇒                                     [tex]=\frac{40}{30}[/tex]

⇒                                     [tex]=1.60 \ hours[/tex]

Answer:

279 patches can be made.

Step-by-step explanation:

Evaluate the total area of the rectangular piece of fabric, therefore:

Area= l*w = 15*9=135

There are 31 pieces, so the total area is 135* 31 =4,185 square centimeters.

Evaluate the number of triangles that can be made dividing the total area by the area of 1 triangular piece, therefore:

n= 4,185/15=279

So the answer is 279 triangles can be made.

Answer:

D) cannot be determined

Step-by-step explanation:

We are given that PQR ~ XYZ

Now we are supposed to find which similarity postulate or given theorem applies

1) AA-Similarity : When Two angles of one triangle is equal to its corresponding angles of other triangle.Then, the two triangles are similar by AA Similarity.

2) SSS similarity: When three sides of two triangles are in the same ratio then the two triangles are similar by SSS similarity

3) SAS similarity : When two sides of two triangle are in the same ratio and one angle between two proportional sides of two triangles is congruent then the two triangles are similar by SAS similarity

We do not have enough information to satisfy the above options

So, Option D is true

D) cannot be determined

Answer:Cannot be determined a pex

Step-by-step explanation:

Answer:

91x10^6

Step-by-step explanation:

Hope that helps

Answer:

-5

Step-by-step explanation:

slope formula= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

slope of line

[tex] = \frac{4 - ( - 11)}{0 - 3} \\ = \frac{4 + 11}{ - 3} \\ = \frac{15}{ - 3} \\ = - 5[/tex]

Answer:

Step-by-step explanation:

You need to get w on one side by itself.

Start out by subtracting 2l from both sides.

p−2l=2w.

Now since w is being multiplied by 2 we need to divided both sides (all terms) by 2.

w=p2−I

Answer:

W=P-L

Step-by-step explanation:

P=2L+2W

Subtract 2L from both sides.

P-2L=2W

Divide both sides by 2

P-L=W

Answer: 2(p+2) * (p-1)

Step-by-step explanation:

2p^2 + 2p - 4

2 (p^2 + p - 2)

2 (p^2 + 2p - p - 2)

2(p x (p+2) - (p+2)

2 (p+2) * (p-1)

Answer:

24 units

Step-by-step explanation:

From the description:

We also know that

sin(a) = 4/5

From definition:

sin(a) = opposite/hypotenuse

Replacing:

4/5 = EF/DE

EF = (4/5)*DE

EF = (4/5)*30 = 24 units

The length of the segment EF of the triangle DEF is 24 units.

In the image attached below we summarize the triangle described in statement, by trigonometric relationship we find that the length of the segment EF is described by the following expression:

[tex]\sin a^{\circ} = \frac{EF}{DE}[/tex] (1)

If we know that [tex]DE = 30[/tex] and [tex]\sin a^{\circ} = \frac{4}{5}[/tex], then the length of the segment EF is:

[tex]EF = DE\cdot \sin a^{\circ}[/tex]

[tex]EF = 30\cdot \left(\frac{4}{5} \right)[/tex]

[tex]EF = 24[/tex]

The length of the segment EF of the triangle DEF is 24 units. [tex]\blacksquare[/tex]

To learn more on right triangles, we kindly invite to check this verified question: https://brainly.com/question/7894175