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postnew [5]
4 years ago
8

Why is 3 over 12 rational

Mathematics
1 answer:
mart [117]4 years ago
3 0
3 over 12 is rational because it is a terminating decimal. Meaning that it ends.
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Which best describes how to determine the decimal number that is modeled? 7 of 100 parts have been shaded, and 7 hundredths is w
Elina [12.6K]

Answer:

7 of 100 parts have been shaded, and 7 hundredths is written as 0.07

Step-by-step explanation:

Note that we have a grid of 100 squares and 7 of those squares are shaded. We can represent the shaded portion by saying 7/100 which is equivalent to .07.

With this information, we can say 7 out of 100 is shaded and is representative of 7 hundredths.

Note that each digit after the decimal is a multiple of (1/10). We can express this as (1/10)^n where n is the digit place after the decimal.

In this case, we have 7, two digits after the decimal so it will be equivalent to 7 * (1/10)^2 = 7 * (1/100) = 7/100.

Cheers.

4 0
3 years ago
As a community service members of the Mu Alpha Theta fraternity are going to pick up cans from along a roadway. A Poisson mean 6
const2013 [10]

Answer:

I think the answer is B but i am not sure

Step-by-step explanation:

7 0
3 years ago
Hannah paid $8.63 at the grocery store for beans and potatoes. She bought 4 pounds of beans at $0.62 per pound and 5 pounds of p
irina [24]

Answer:

$1.23

Step-by-step explanation:

First start off by multiplying $0.62 by 4 to find out the total she paid for all four pounds of beans. This would give you $2.48 spent on beans. Subtract $2.48 from the total amount spent ($8.63). You now have $6.15 left on what she could have spent on 5 pounds of potatoes. Do $6.15 divided by 5 to get an answer of $1.23. Hannah paid $1.23 per pound for the potatoes.

5 0
3 years ago
Can someone find the surface area of the picture below.
Sonja [21]

The area of each of the 4 triangles is

... A = (1/2)bh = (1/2)(4)(3) = 6

The area of the square base (in the center of the net diagram) is

... A = s² = 4² = 16

Then the total area is 4×6 + 16 = 40 square units.

4 0
3 years ago
Express the ratio in simplest form. The ratio of 500 m to 3 km
tester [92]
<span>1) Express the following ratios in the simplest form.
a) 150 : 400 
</span>Solution : <span>
The given ratio is 150 : 400 = 150/400
The common factor of 150 and 400 is 50.
(150 ÷ 50)/ (400 ÷ 50) = 3/8 = 3 : 8. 
----------------------------------------------------------------------
b) A dozen to score 
</span>Solution : <span>
One dozen = 12 and one score = 20.
So, a dozen to score = 12/20 = 12 : 20.
(12 ÷ 4)/ (20 ÷ 4) [ As the common factor is 4]
= 3/5 = 3 : 5.
----------------------------------------------------------------------
c) 200 grams to 4 kg 
</span>Solution : <span>
200 g to 4 kg 
As both the quantities are in different units, first make their units same.
1kg = 1000 g
∴ 4 kg = 4000 g.
200 g to 4000 g = 200 / 4000 
Common factor of 200 and 4000 is 200.
(200 ÷ 200)/(4000 ÷ 200) = 1/20 = 1 : 20.
----------------------------------------------------------------------
d) Sam earned $4000 and paid $500 as income tax and spent $1500 on household expenses. Find the ratio of : 1) income tax to income 2) household expenses to income 3) savings to earnings 
</span><span>Solution </span><span>
Sam’s income = $4000 
Income tax = $500 
∴ income tax to income = 500/4000
(500 ÷ 500)/(4000 ÷ 500) = 1/8 
Ratio of Income tax to income is 1 : 8 
Expenses = $1500
∴ Household expenses to income = 1500/4000
(1500 ÷ 500)/ (4000 ÷ 500) = 3/8
Ratio of Household expenses to income = 3 : 8.
Savings = Income – (expenses + income tax)
Savings = 4000 – (1500 + 500) = $2000.
∴ Savings to earnings = 2000/4000 
(2000 ÷ 2000)/(4000 ÷ 2000) = ½ 
Ratio of savings to expenses = 1 : 2.</span>
3 0
4 years ago
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