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trapecia [35]
3 years ago
12

Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his

pizza. How much pizza was left. Answer to the simplest form.
Mathematics
2 answers:
Rainbow [258]3 years ago
5 0

Answer:

1/8

Step-by-step explanation:

What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:

6/8. 4/8, 7/8

We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.

Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.

Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.

Add: 1/8 + 2/8 + 4/8 = 7/8

This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.

Thepotemich [5.8K]3 years ago
3 0
8/8 - 7/8 = 1/8
4/4 - 3/4 = 1/4
2/2 - 1/2 = 1/2

1/4 * 2/2 = 2/8
1/2 * 4/4 = 4/8

1/8 + 2/8 + 4/8 = 7/8 of a pizza was left
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3 years ago
Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i
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Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

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

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then


17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},

3=(1.0054)^{12t},

12t=\log_{1.0054}3,

t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.

The best will be 2nd option, because $8032.58>$7936.39

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