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madam [21]
3 years ago
9

X + 1/4x = 15. What is the solution to the equation?

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

X + 1/4x = 15

multiply by 4 : 4x+x = 60

5x=60

now divid by 5 you have : x=12

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If x2 = 60, what is the value of x?
MArishka [77]

Answer:

x = ±2sqrt(15)

Step-by-step explanation:

x^2 = 60

Take the square root of each side

sqrt(x^2) = ±sqrt(60)

x = ±sqrt(60)

x = ±sqrt(4 *15)

x = ±2sqrt(15)

7 0
3 years ago
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In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the
kondaur [170]

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}

The length of a side of the square is 26 units.

3 0
3 years ago
A marble is randomly selected from a bag containing 15 black, 12 white, and 6 clear marbles. Find P(not clear). Round
Eddi Din [679]

Answer:

A 18%

Step-by-step explanation:

I believe it should be A because there is no specific type a marble specified therefore if you do

12/33--> 0.36 times 100= 36 % which isn't an option

15/33->0.45 times 100= 45 % which also isn't an option

6/33= 0.18 times 100= 18% this is the only option given

7 0
3 years ago
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Number 3 and 4 please ASAP
Tpy6a [65]

Step-by-step explanation:

Question 3) there's 60 minutes in a hour

3 times 60 = 180 books in 1 hour

3 times 180 = 540 books in 3 hours

540 + 180 + 180 = 900 books in 5 hours

The difference between those numbers : 900-540= 360 and 540-180= 360 so every 2 hours 360 books is done each time so just add 360 books each time for every 2 hours added

3 0
2 years ago
16. Ajit borrowed 2,00.000 from a credit card company at 20% p.a. compounded quarterly.
Tcecarenko [31]

Given:

Principal value = 2,00,000

Rate of interest = 20% p.a. compounded quarterly.

To find:

The compound interest and the amount after one year.​

Solution:

Formula for amount is:

A=P\left(1+\dfrac{r}{n}\right)^{nt}

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

The interest is compounded quarterly. So, the value of n is 4.

Putting P=200000,\ r=0.2,\ n=4,\ t=1 in the above formula.

A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}

A=200000\left(1+0.05\right)^{4}

A=200000\left(1.05\right)^{4}

A=200000(1.21550625)

A=243101.25

Therefore, the amount after one year is 2,43,101.25.

We know that the compound interest is the difference between amount and principal value. So,

C.I.=A-P

C.I.=2,43,101.25-2,00,000

C.I.=43,101.25

Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.

6 0
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