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3 years ago

Suppose that 16 inches of wire costs 96 cents at the same rate how much in cents will 13 inches of wire cost

Mathematics

1 answer:

Rom4ik [11]3 years ago

8 0

Answer:

78 cents

Step-by-step explanation:

96/16 = 6/1

6/1 is the unit rate so you input 13 into the bottom and multiply

13×6=78

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Pls help!!!! ...!.!.!.!.!.!.!.!.!!.

Nina [5.8K]

If you multiply 2x2 you get 4 and multiply another 2 which is 8. Two answers are 8 and 2x2x2.

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3 years ago

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Examine the system of equations. y = 3 2 x − 6, y = −9 2 x + 21 Use substitution to solve the system of equations. What is the v

nadezda [96]

Answer:

Step-by-step explanation:

Given the system of equations y = 3/2 x − 6, y = −9/2 x + 21, since both expressions are functions of y, we will equate both of them to find the variable x;

3/2 x − 6 = −9/2 x + 21,

Cross multiplying;

3(2x+21) = -9(2x-6)

6x+63 = -18x+54

collecting the like terms;

6x+18x = 54-63

24x = -9

x = -9/24

x = -3/8

To get the value of y, we will substitute x = -3/8 into any of the given equation. Using the first equation;

y = 3/2x-6

y = 3/{2(-3/8)-6}

y = 3/{(-3/4-6)}

y = 3/{(-3-24)/4}

y = 3/(-27/4)

y = 3 * -4/27

y = -4/9

Hence, the value of y is -4/9

4 0

3 years ago

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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

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3 years ago

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V125BC [204]

B is the answer i hope it helps i

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3 years ago

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When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units

alexira [117]

Answer:

r=1/π

Step-by-step explanation:

Area of the circle is defined as:

Area = πr²

Derivating both sides

$\frac{dA}{dr}$ =2πr

$\frac{dA}{dt}$ = $\frac{dA}{dr}$ x $\frac{dr}{dt}$ = 2πr $\frac{dr}{dt}$

If area of an expanding circle is increasing twice as fast as its radius in linear units. then we have : $\frac{dA}{dt}$ =2 $\frac{dr}{dt}$

Therefore,

2πr $\frac{dr}{dt}$ = 2 $\frac{dr}{dt}$

r=1/π

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3 years ago

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