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AlexFokin [52]
3 years ago
7

If it takes 16 yards of material to make 5/2 costumes, how much material will be needed to make 19/2 costumes of that same size?

A.
60.8 yards
B.
50.7 yards
C.
40 yards
D.
34 yards
Mathematics
1 answer:
IRISSAK [1]3 years ago
7 0

yards/costumes:16/(5/2) = X/(19/2)

Cross multiply.

(5/2)x = 152

Multiply both sides by 2/5.

x = 101 1/3 yards

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natta225 [31]

we have

2x-2y=6 ------> equation 1

4x+4y=28 ------> equation 2

Multiply by 2 the equation 1

4x-4y=12 ------> equation 3

Sum equation 2 and equation 3

4x+4y=28\\ 4x-4y=12\\ ------\\ 8x=40\\ x=40/8\\ x=5

Substitute the value of x in the equation 2

4x+4y=28

4*5+4y=28\\ 4y=28-20\\ 4y=8\\ y=8/4\\y=2

therefore

the answer is the option B

(5,2)

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3 years ago
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Liono4ka [1.6K]

Answer:

\$487.48

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4  

substitute in the formula above

1,000=P(1+\frac{0.0725}{4})^{4*10}  

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P=1,000/(\frac{4.0725}{4})^{40}

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5 0
3 years ago
Given that x square + 5 x + c is a perfect square find the value of C ​
lawyer [7]

Answer:

c = \frac{25}{4}

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² + 5x

x² + 5x + (\frac{5}{2} )²

= x² + 5x + \frac{25}{4}

= (x + \frac{5}{2} )² ← a perfect square

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Morgarella [4.7K]

Answer:

$110

Step-by-step explanation:

So first you have to do 15*4. We get the 4 from the admission fees and the 15 from the number of dances they attend. From this answer we can see the total of money they will be paying for admission for the 15 dances.

15*4=$60

However, our answer isn't just $50 as we are also told membership costs $50. So no we add $50 to $60, which gives us an answer of $110, which is the amount the member will pay if they attend 15 dances during the school year.

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Which expression uses the associative property to make it easier to evalute?
mixas84 [53]

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

14(\dfrac{3}{2}\times \dfrac{1}{4})

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

A\times (B\times C)=(A\times B)\times C

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A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}

14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}

Hence, the correct option is (c).

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