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Romashka [77]
3 years ago
8

Determine the constant of variation for the direct variation given.

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

B. 5

Step-by-step explanation:

We have been given that R varies directly with S. When S is 16, R is 80. We are asked to find constant of variation.

We know that two directly proportional quantities are in form y=kx, where,

k = Constant of variation.

Upon substituting our given values, we will get:

R=k*S

80=k*16

\frac{80}{16}=\frac{k*16}{16}

5=k

Therefore, the constant of variation is 5 and option B is the correct choice.

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When placed in the box below, what expression will complete an example of the commutative property of addition 7(2+9)= ?
ANEK [815]

The expression for 7(2+9) IS A(B+C) which is distributive property of addition over multiplication.

Only two arithmetic procedures are subject to the commutative property: Multiplication and Addition

 A + B = B + A Which is Commutative property of addition

A.B = B.A, which is a commutative property of multiplication.

Distributive property is A(B+C) =AB+AC

The operation on numbers that are available in brackets can be distributed for each number outside the bracket, according to the distributive property. It is one of the mathematical properties that is used the most. Commutative and associative qualities are the other two important features.

from the given data 7(2+9) =7*2+7*9

                                                =14+63

                                                =77

Now, we can clear that 7(2+9) =7(9+2)

Hence, the expression for commutative property of addition is A(B+C) = AB+AC.

To learn more about commutative property, visit

brainly.com/question/28387735

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6 0
1 year ago
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Lynna [10]

Answer:

Jacob served 16 quarts of juice.

Step-by-step explanation:

5 0
3 years ago
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The marine needs 14 boats for the 42 people registered for a boat race. How many boats will they need for 6 people?​
Degger [83]

Answer:

2

Step-by-step explanation:

We can write a proportion to determine

42 people          6 people

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

14 boats                x boats

Using cross products

42x = 6*14

42x =84

Divide each side by 42

42x/42 = 84/42

x = 2

They will need 2 boats

5 0
3 years ago
What is the area of a triangle with base 18 meters and height<br>6 meters?​
mash [69]

Answer:

27 meters

Step-by-step explanation:

a=1/2bh

a=1/2(18)(6)

a=27

6 0
4 years ago
Which is the choice to the inequality below?
Nuetrik [128]

Answer:

x < -36

Step-by-step explanation:

-x/9>4

Multiply each side by -9, remembering to flip the inequality

-x/9 * -9 < 4*-9

x < -36

5 0
3 years ago
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