The value of y varies directly with the value of x, and y = –21 when x = 3.Which equations represent the relationship between y and x?

Choose exactly two answers that are correct.

A. -7x = y


B. y/x = -7


C. x/y = 7


D. xy = 7

Answers

Answer 1
Answer: y=-21~~~~~x=3 \n \n  a)-7x=-7*x\rightarrow-7*3=-21~~(\boxed{\checkmark})~~because~~\boxed{y=-21}\n  \n b) (y)/(x) =-7~~~~~ \rightarrow  (-21)/(3)=-7 ~~ (\boxed{\checkmark})

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What number has factors of 2 and 3 and 12 and 18 as multiples?

Frankie’s electric bill total is $48 and contains three charges: a charge for electricity used, 5% tax on the charge for electricity used, and $6.30 in fees. Which statements are true?

Choose exactly two answers that are correct.

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48.

B. The equation that represents the price, e, of the electricity is 0.05e + 6.30 = 48.

C. The cost of the electricity before taxes or fees is $39.71.

D. The cost of the electricity before taxes or fees is $834.

Answers

A. The equation that represents the price, e, of the electricity is e + 0.05e + 6.30 = 48
C. The cost of the electricity before taxes or fees is $39.71. 

e + 5% of e + 6.30 = 48

e + 0.05e + 6.30 = 48
1.05e = 48 - 6.30
1.05e = 41.70
e = 39.71

39.71 + 5%(39.71) + 6.30 = 48
39.71 + 1.99 + 6.30 = 48
48 = 48

Can someone please help? A cylinder has a radius of 10 cm and a height of 8 cm.What is the volume of the cylinder?

A.
160 pi cm^3

B.
480 pi cm^3

C.
640 pi cm^3

D.
800 pi cm^3

Answers

The answer is D because it is radius multiplied by radius then multiplied by height, which is 10. 
The answer is D because 10 x 8 = 80 but multiply it by 10 again and you get 800

There are 16 girls and 20 boys in the school band what is the ratio in the simplest form of girls to boys ?

Answers

The ratio in simplest form is 4:5.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

There are 16 girls and 20 boys in the school band

so, the ratio is,

16/20,

divide both by 4

and you get 4/5

Hence, the ratio in simplest form is 4:5.

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16/20, divide both by 4 and you get 4/5 as the ratio in simplest form

17-2c for c = 7 what is the answer

Answers

Simply substitute the 7 in for c in the equation then solve...

17 - 2c =
17 - 2 (7) =
17 - 14 = 3

17-2c for c=7

Replace c by its number

17-2(7)

17-14

= 3


I hope that's help !


Emma drank 1/4 of a milk shake in 1/12 of a minute. How many minutes will it take to drink the full shake?Mike plays 1/2 of a song in 1/8 of a minute. How many minutes will he need to a full song?

Answers

a) The time for Emma to drink one full shake of milk is given by the equation E = 1/3 of a minute = 20 seconds

b) The time for Mike to play a full song is given by the equation M = 1/4 of a minute = 15 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the time for Emma to drink one full shake of milk be E

Now , the equation will be

The time for Emma to drink 1/4 of a milk = 1/12 of a minute

So , the time for Emma to drink one full shake E = 4 x time for Emma to drink 1/4 of a milk

Substituting the values in the equation , we get

The time for Emma to drink one full shake E = 4 x ( 1/12 )

On simplifying the equation , we get

The time for Emma to drink one full shake E = 4/12

The time for Emma to drink one full shake E = 1/3 of a minute

The time for Emma to drink one full shake E = 20 seconds

b)

Let the time for Mike to play a full song be M

Now , the equation will be

The time for Mike to play 1/2 of a song = 1/8 of a minute

So , the time for Mike to play a full song M = 2 x time for Mike to play 1/2 of a song

Substituting the values in the equation , we get

The time for Mike to play a full song M = 2 x ( 1/8 )

On simplifying the equation , we get

The time for Mike to play a full song M = 2/8

The time for Mike to play a full song M = 1/4 of a minute

The time for Mike to play a full song M = 15 seconds

Hence , the equations are solved

To learn more about equations click :

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1/4*4=1 (The entire shake)

1/12*4=1/3 of a minute

Thee answer to the 1st question is 1/3 of a minute

1/2*2=1 (The entire song)

1/8*2=1/4 of a minute

The answer to the 2nd question is 1/4 of a minute

Plz help what is the missing number 1,4,9,16 what is after 16 plz help me fast thank you

Answers

The answer is 25.

The sequence was following the pattern of squaring numbers that were in chronological order.

1^2=1
2^2=4
3^2=9
4^2=16

So, next number would be 5^2=25.
the answer would be 25