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3 years ago

Choose and then match the ratio which is equivalent

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

1. 5 to 20 ---> c. 20 to 80

(5/20 and 20/80, both have the same answer(ratio) which is equal to 1/4)

2. 5 to 40 ---> e. 11 to 88

(5/40 and 11/88, both have the same answer(ratio) which is equal to 1/8)

3. 9 to 45 ---> b. 7 to 35

(9/45 and 7/35, both have the same answer(ratio) which is equal to 1/5)

4. 2 to 20 ---> a. 1 to 10

(2/20 and 1/10, both have the same answer(ratio) which is equal to 1/10)

5. 4 to 12 ---> d. 10 to 30

(4/12 and 10/30, both have the same answer(ratio) which is equal to 1/3)

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A herd of horses split and went to three areas. One fourth of the herd of horses was seen in the forest. Twice the square root o

melamori03 [73]

Answer:the total number of horses in the herd is 36

Step-by-step explanation:

Let x represent the total number of horses in the herd.

One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be

1/4 × x = x/4

Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be

2 × √x = 2√x

Three times five horses remained on the riverbank. This means that the number that remained would be

3 × 5 = 15

Therefore

x/4 + 2√x + 15 = x

x - x/4 - 15 = 2√x

(4x - x - 60)/4 = 2√x

(3x - 60)/4 = 2√x

Cross multiplying,

3x - 60 = 8√x

Squaring both sides of the equation, it becomes

(3x - 60)(3x - 60) = 64x

9x² - 180x - 180x + 3600 = 64x

9x² - 360x - 64x + 3600 = 0

9x² - 424x + 3600 = 0

Applying the quadratic equation

x = (- b ±√b² - 4ac)/2a

x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9

x = (424 ± √179776 - 129600)/18

x = (424 ±√50176)/18

x = (424 + 224)/18 or

x = (424 - 224)/18

x = 36 or x = 11.11

the number of horses must be whole number. Therefore, the number of horses is 36

5 0

3 years ago

Is the function f(x) = -x its own inverse? <br> amos @audreyw2014

Assoli18 [71]

Answer:

f(x) and its inverse are the same

Step-by-step explanation:

<u>The inverse function </u>

If y=f(x), the inverse function $f^{-1}(x)$ is defined such as

$f(f^{-1}(x))=x$

To find the inverse function, there is a practical method:

a) Change letters x for y and vice-versa

b) Isolate y in terms of x only

c) $y=f^{-1}(x)$

In our case, $y=f(x)=-x$

a) Interchanging letters

$x=-y$

b) Isolate $y=-x$

c) $f^{-1}(x)=-x$

As we can easily see, f and its inverse are exactly the same

$f(x)=f^{-1}(x)$

7 0

3 years ago

Brooke was the high scorer on her basketball team, making 15 baskets out of 25 shots attempted. What was her percent of success

alukav5142 [94]

Answer:

She had a success rate of 60 %.

Step-by-step explanation:

In order to calculate her percentage of success we need to take the total amount of shots she made and divide it by the total amounts of shots she attempted and multiply it by 100. Since she took 25 shoots and made 15, we have:

percentage of success = (15/25)*100% = 0.6*100% = 60 %

She had a success rate of 60 %.

4 0

4 years ago

Please answer the question fast

Vlad [161]

Answer:

(-7,4] or -7 < X ≥ 4

Step-by-step explanation:

The domain is all applicable X values for the function. In this function, X can be greater than but not including -7, but has to be less than 4 (inclusive).

You can write your answer as (-7,4] or -7 < X ≥ 4.

5 0

3 years ago

A certain shampoo is available in two sizes. A 12.6-ounce bottle costs $2.37. A 25.3-ounce bottle costs $5.24.

neonofarm [45]

Answer:

The 12.6 oz bottle

Step-by-step explanation:

0.19/oz for the 12.6 oz

0.21/oz for the 25.3 oz

4 0

3 years ago