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lina2011 [118]
2 years ago
13

Paula and Kawai shared $312 in the ratio of 6:7. How much money did each person get?

Mathematics
1 answer:
Maslowich2 years ago
6 0

Answer:

Paula get \$144 and Kawai get \$168.

Step-by-step explanation:

Given: Paula and Kawai shared \$312 in the ratio of 6:7.

To find: How much money  did each person get?

Solution:

We have,

Paula and Kawai shared \$312 in the ratio of 6:7.

So, let Paula get \$6x and Kawai get \$7x.

As per the question,

6x+7x=312

\implies13x=312

\implies x=\frac{312}{13} =24

Therefore, Paula get 6\times 24=\$144, and Kawai get 7\times 24=\$168.

Hence, Paula get \$144 and Kawai get \$168.

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A farmer kept 96 kilograms of animal feed in his barn. The barn leaked and 1/10 of the feed was wasted. How much animal feed was
Olenka [21]

Answer:

There would be 86.4 kilograms left.

Step-by-step explanation:

you would take 1/10 and multiply it by 96 and get 9.6 kg. then take 96 - 9.6 and get 86.4.

7 0
2 years ago
What is the purpose of a reference point? to provide a standard system of measurement to establish a point from which to measure
Sliva [168]

Answer:

to establish a point from which to measure future distance

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25. The divfference in the length of the two shorter pieces
MariettaO [177]

Answer:

210.6 cm

Step-by-step explanation:

Given that a piece of ribbon is cut into two shorter pieces in the ratio 2.8:1.25.

So that means length of the first smaller piece = 2.8x

and length of the second smaller piece = 1.25x

Then difference between their lengths = 2.8x-1.25x = 1.55x

Given that difference is equal to 80.6 centimeters then we get

1.55x=80.6

or x= 80.6/1.55

or x=52

then length of the original piece = 2.8x+1.25x

= 2.8*52+1.25*52

= 145.6+65

= 210.6 cm

6 0
2 years ago
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈
mr_godi [17]

Answer:

  7.763×10^7 inches

Step-by-step explanation:

  (1225\,mi)\dfrac{1\,in}{1.578\cdot 10^{-5}\,mi}=\dfrac{12.25}{1.578}\cdot 10^{2-(-5)}\,in \approx 7.763\cdot 10^7\,in

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

__

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

3 0
2 years ago
Last weekend, Lena worked 7.5 hours on Friday, 9.75 hours on Saturday, and 6.25 hours on Sunday.
Gemiola [76]

Answer:202.1

Step-by-step explanation:

Add all the days she worked up (7.5+9.75+6.25) =23.5

Now simply just multiply it with 8.60 and you get your answer

Hope this helps :)

3 0
2 years ago
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