david and Jack share $120 in the ratio 3:5.how much did david get ?​

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Work Shown:

(1 inch)/(3.5 miles) = (x inches)/(77 miles)

1/3.5 = x/77

1*77 = 3.5*x ..... cross multiply

77 = 3.5x

3.5x = 77

x = 77/3.5

x = 22

22 inches on paper correspond to 77 miles in real life.

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = [tex]\frac{4}{3}[/tex]

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   [tex]\frac{4}{3}[/tex]  = [tex]\frac{-3 - x}{2 - 5}[/tex]

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

To learn more about Census, click on the link given here :

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Answer:

Simplify the expression.

Exact Form:

37

16

Decimal Form:

2.3125

Mixed Number Form:

2

5

16

Answer:

I think is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: C is your asnwer

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation:

Answer:

y=0.25x+3

Step-by-step explanation:

Answer:

each child gets 5 cards

Step-by-step explanation:

just do 10/2 and you get 5

Answer:

5 cards

Step-by-step explanation:

10 divided by 2 is 5

Answer:

B

Step-by-step explanation:

The equation that represents this direct variation between a and b is:

b = -a. See explanation below.

Direction Variation is best defined as an equation in which one variable equals a constant times the other can be used to express a mathematical relationship between two variables.

Hence it is correct to state that The equation that represents this direct variation between a and b is: b = -a

Learn more about Direct Variation at:
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Answer:

5/4

Step-by-step explanation:

Yeeeeeeeeeeeeeeeeeeeeeeee

Answer:

5/4

Step-by-step explanation:

Answer:

8.6 × 10^5

Step-by-step explanation:

New Jersey 8th graders = 920,000

Rhode island 8th graders = 60,000

Difference in Rhode island 8th graders and New Jersey 8th graders population

= 920,000 - 60,000

= 860,000

Answer in scientific notation

860,000

The decimal point will move 5 places in

= 8.6 × 10^5

Answer:

She put in $7.50

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Its already simplified but if you mean a mixed number then its 27/16

Step-by-step explanation:

Answer:

Y=30

Step-by-step explanation:

we know that Y+150=180 as it is a linear pair

so, Y= 108-150

which will be 30

Answer: 53°

Step-by-step explanation: If two parallel lines are cut by

a transversal, then same-side interior angles are supplementary.

So if we know one of our angles measures 127,

our other angle will measure 180 - 127, which is 53.

So x is 53 degrees.

Remember, whenever you have two parallel lines cut by a transversal,

same-side interior <'s are supp. or the sum of their measures is 180 degrees.

Answer:

B

Step-by-step explanation:

A translation is just moving the same shape on a grid, thus nothing changes.

Answer:

7

Step-by-step explanation:

Multiply - and -13 first which is 13 subtract 6 from 13 and you will get 7 which is the answer

Hope this helps!

Answer:

Step-by-step explanation:

2 inches = 5 miles.

So if you divide both sides by 2,

1 inch = 2.5 miles

To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5

6.5 inches = 2.5 x 6.5 = 16.25 miles

Answer:

74.52

Step-by-step explanation:

Answer:12

Step-by-step explanation:

count you fingers. Easy XD

Answer:

4+8=12

Step-by-step explanation:

If you use your fingers and count

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!