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Anni [7]
2 years ago
7

There're 30 kilograma of 10% apple juice How many kilograms of apples does it need to increase the current apple juice to 25%​

Mathematics
1 answer:
Rus_ich [418]2 years ago
7 0

The percentage of apple juice is an illustration of ratios and proportions.

It needs 45 kilograms of apple to increase it to 25%

The given parameter is:

30 kg in 10%

Let the additional kilograms of apple be represented with x.

So, we have:

(x + 30 kg) in 25%

The kilogram of apple is in proportion with the percentage used.

So, we have:

\mathbf{30kg : 10\% = (x + 30)kg : 25\%}

Express as fraction

\mathbf{\frac{30kg }{ 10\% }= \frac{(x + 30)kg }{ 25\%}}

Cancel out common units

\mathbf{\frac{30 }{ 10\% }= \frac{x + 30}{ 25\%}}

Express percentage as decimals

\mathbf{\frac{30 }{ 0.10 }= \frac{x + 30}{ 0.25}}

Multiply both sides by 0.25

\mathbf{\frac{30 }{ 0.10 } \times 0.25= x + 30}

So, we have:

\mathbf{75= x + 30}

Subtract 30 from both sides

\mathbf{45= x}

Rewrite as:

\mathbf{x = 45}

Hence, it needs 45 kilograms of apple to increase it to 25%

Read more about ratios and proportions at:

brainly.com/question/13114933

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vovangra [49]
The area of the two triangular bases is
  (total base area) = 2×(1/2)bh
    = bh
    = (10 m)(6 m) = 10·6 m² = 60 m²

The area of the three rectangles making up the remaining faces of the prism is
  (total lateral area) = length×base + length×height + length×hypotenuse
    = length×(base + height + hypotenuse)
    = (16 m)(10 m + 6 m + 11.6 m)
    = (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²

Then the surface area of the prism is the sum of these
  surface area = total base area + total lateral area
    = 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
  A) 502 m²
5 0
2 years ago
2.<br> If y = V9 – 3x, determine the value of x for which y will be a real number.
Pepsi [2]

Answer:

x ≤ 3

Step-by-step explanation:

The expression inside the radical ≥ 0, thus

solve

9 - 3x ≥ 0 ( subtract 9 from both sides )

- 3x ≥ - 9

Divide both sides by - 3, reversing the symol as a result of dividing by a negative quantity

x ≤ 3

Any value of x less than or equal to 3 ensures \sqrt{9-3x} is real

8 0
3 years ago
How are 1/4 of 12 and 12 divided by 4 related????
Jobisdone [24]
Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.
3 0
2 years ago
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven
Likurg_2 [28]

Complete question is;

A shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least seven years. A survey of companies reported in The Wall Street Journal found a sample mean tenure of x¯ = 7.27 years for CEOs with a standard deviation of s = 6.38 years (The Wall Street Journal, January 2, 2007).

a. Formulate hypotheses that can be used to challenge the validity of the claim made by

the shareholders’ group.

b. Assume 85 companies were included in the sample. What is the p-value for your hypothesis

test?

Answer:

A) Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) p-value = 0.3488

Step-by-step explanation:

A) We are told that the shareholders group claimed that the mean tenure for a chief executive office (CEO) was at least seven years.

Thus, defining the hypothesis, we have;

Null hypothesis: H0: μ ≥ 7

Alternative hypothesis: μ < 7

B) Sample mean: x¯ = 7.27 years standard deviation: s = 6.38 years

Sample size = 85

Formula for the test static is;

t = (x¯ - μ)/(s/√n)

t = (7.27 - 7)/(6.38/√85)

t = 0.39

From online p-value from t score calculator attached using: t = 0.39, DF= 85 - 1 = 84, significance value = 0.05, one tail, we have;

p-value = 0.3488

5 0
3 years ago
Suppose you pay $24 for a video game that has been discounted 25%. What is the original price of the video game? Show how you id
suter [353]

it was 30 dollars, basically 5 dollars off

7 0
3 years ago
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