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Anuta_ua [19.1K]
3 years ago
14

Is 2352 a perfect square if not find the smallest multiple of 2352 which is a perfect square also find its root?

Mathematics
1 answer:
melamori03 [73]3 years ago
4 0

You can do this by finding the prime factors of 2352

2352 = 2 * 2* 2 * 2 * 3 * 7 * 7

We see that its not a perfect square because there is only one 3. If we multiply by another 3 we will have a perfect square.

2*2*2*2*3*3*7*7 = 7056 which is the smallest perfect square as required.

square root of 7056 = 2 *2 * 3 * 7 = 84 answer

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Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
Find the zero if the function f(x) = 5x-3
Sladkaya [172]
X equal 5/3 set it equal to zero and slove
5 0
4 years ago
What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
vfiekz [6]

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

3 0
2 years ago
125% of what number is 45?
Paladinen [302]

Answer:

36

Step-by-step explanation:

125%*x=45

125%x=45

x=36

5 0
2 years ago
How many years (to two decimal places) will it take $15000 to grow to $17500 if it is invested at 8% compounded semi- annually?
VLD [36.1K]

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

3 0
3 years ago
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