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3 years ago

5

a sum of money is divided among two friends in the ratio 4:11 if the smaller amount is $420, determine the larger amount?

1 answer:

bixtya [17]3 years ago

4 0

Answer:

1155

Step-by-step explanation:

let the ratio be 4x:11x

4x=420

x=105

11x=11*105

=1155

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A car travels 552.5 miles in 8.5 hours. An equation that represents the distance,d, a car travels in h hours is h = 65d

statuscvo [17]

Answer:

True

Step-by-step explanation:

it's true cuz im corrrect

3 0

3 years ago

Mrs. Nixon went to the store to buy candy for her

AnnyKZ [126]

Answer:

$2.25

Step-by-step explanation:

First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.

8 0

3 years ago

One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

3 years ago

A 20° sector in a circle has an area of 21.51 pi yd?.

kodGreya [7K]

Answer

____________________________________________________________

This would be 21.5π * 360 / 20 yd^2 = 1215.18 yd^2 ( using pi = 3.14)

____________________________________________________________

5 0

3 years ago

The figure below is divided into 100 squares of equal size.

Stolb23 [73]

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

7 0

3 years ago