Ariana spent a quarter of her allowance on sweets and she put one third of the remainder in her piggy bank. If she had twenty dollars left, what was her allowance

Answers

Answer 1
Answer:

Answer:

$40

Step-by-step explanation:

Ariana spent a quarter of her allowance

1 - 1/4 = 3/4 was left

put one third of the remainder in her piggy bank

1/3 * 3/4 = 1/4

She spent 1/4 and piggy banked 1/4

so the $20 she had left was half her allowance.

allowance was $40

Ariana gets a very large allowance!


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If M = 5x² + 7x - 4 and N = -3x² - 4x + 5, then M - N equals...

Answers

M - N =

(5x^2+7x-4) - (-3x^2-4x+5)=

Distribute -1 through the second parentheses

5x^2+7x-4 +3x^2+4x-5=

combine like terms

8x^2 + 11x - 9

If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?Can someone explain this one?

Answers

Use the Pythagoras therom.
let the diagonal be x
⇒54²+72²=x²
⇒8100=x²
x=90meters
let the diagonal be a.
now, as we know that each angle in a rectangle is right angle.
thus we have a right angled triangle.
now, we can apply pythagoras theorum.
a^2 = 54^2 + 72^2
= 2916 + 5184
=8100
thus, a^2 = 8100
thus, a = 90.
Thus the diagonal is 90metres.

Planes have edges true or false

Answers

False planes do not have edges.

If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?A. 1/2
B. 1/4
C. 1/8
D. 1/16
E. 1/32​

Answers

Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).

What is Probability?

Probability helps us to know the chances of an event occurring.

\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)

The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,

\rm Probability = \frac14 * \frac14 * \frac14 * \frac14 = \frac1{16}

Hence, the probability that all four pennies will be tails is (1/16).

Learn more about Probability:

brainly.com/question/795909

#SPJ2

Answer:

1/16

Step-by-step explanation:

A company is deciding which box to use for theirmerchandise. The first box measures 8 inches by 6.25 inches
by 10.5 inches. The second box measures 9 inches by 5.5
inches by 11.75 inches. Which box required more material to
make?

Answers

Total surface area of first box = 2(8 * 6.25) + 2(8 * 10.5) + 2(6.25 * 10.5) = 2(50) + 2(84) + 2(65.625) = 100 + 168 + 131.25 = 399.25 sq. ins

Total surface area of second box = 2(9 * 5.5) + 2(9 * 11.75) + 2(5.5 * 11.75) = 2(49.5) + 2(105.75) + 2(64.625) = 99 + 211.5 + 129.25 = 439.75 sq. ins

Hence, the second box requires more material to make.

A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled when it hits the ground for the fourth time?

Answers

1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
total distance=12+12+6+3=33 ft