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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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The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where
Ymorist [56]

Answer:

The linear function that models the population of bloater fish is y2 =  

✔ –92.57x + 1,052

.

The linear equation that determines when the two populations were equal is  

✔ –19.76x + 227 = –92.57x + 1052

.

The solution is x =  

✔ 11.33

years.

Step-by-step explanation:

5 0
2 years ago
Patty is using a cylinder shape container to hold 48 in³ of liquid. The height of the container is 6 inches tall. What is the be
Sati [7]

Answer:


Step-by-step explanation:

Volume of cylinder = πr2h

height =6 inches

r is the radius of the cylindrical container

48 in3 =πr2 * 6

6= πr2

π= 22/7

6*7/22=r2

42/22 =r2

21/11=r2

r2= 21/11

r = SQRT(21/11)

r= 1.38169855942

4 0
2 years ago
The nakagin capsule tower has 140 modules and is 14 stories high if the modules were divided evenly among the number of stories
Burka [1]
To determine the number of modules that is in each story, we simply divide the number of modules by the number of stories. 
                           = 140 / 14
Simplifying,
                           = 10 modules / story
Therefore, by even distribution we note that there are 10 modules per story. 
5 0
2 years ago
An isosceles triangle used to rack billiard balls has a base of 11.25 inches. The sides of the triangle meet at a 56° angle. To
lara [203]

Answer:

The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches

Step-by-step explanation:

Given as for a Isosceles triangle :

The base of Triangle = 11.25 inches

The sides of triangle meets at 56°

Let the unknown side measure = x inches

From <u>The property of isosceles triangle</u>

The angle opposite to the same side are equal

I.e \Theta _1 =  \Theta _2 = 56°

So, The third angle = 180° - ( \Theta _1 +  \Theta _2 )

Or, The third angle = 180° - ( 56° + 56° )

∴   The third angle = 180° - 112° = 68°

Now, From isosceles triangle

Tan 56° = \frac{perpendicular}{base}

Or, Tan 56° = \frac{x}{11.25}

∴   x = 11.25 × Tan 56°

Or, x = 11.25 × 1.482 = 16.672 inches

Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches   Answer

6 0
2 years ago
Select the correct answer from each drop-down menu.
TiliK225 [7]

Answer:

7

Step-by-step explanation:

find the surface area of the base of the triangular pyramid:

(base x height) / 2 = (4 x 3.5) / 2 = 7 in²

5 0
2 years ago
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