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2 years ago

What is 25% out of 28

Mathematics

2 answers:

fgiga [73]2 years ago

8 0

Since 25% is 1/4 divide 28 by 4 to get your answer of 9.5

Darina [25.2K]2 years ago

5 0

If you pull out a calculator and type in .25 * 28 you'll get your answer which is 7
so any time you need the percentage of something just turn the percentage into a decimal and multiply it by your number.

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The rate of change of the function f(x) = 8 sec(x) + 8 cos(x) is given by the expression 8 sec(x) tan(x) − 8 sin(x). Show that t

liq [111]

Answer:

Shown - See explanation

Step-by-step explanation:

Solution:-

- The given form for rate of change is:

8 sec(x) tan(x) − 8 sin(x).

- The form we need to show:

8 sin(x) tan2(x)

- We will first use reciprocal identities:

$8\frac{sin(x)}{cos^2(x)} - 8sin(x)$

- Now take LCM:

$8\frac{sin(x)- sin(x)*cos^2(x)}{cos^2(x)}$

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

$8*sin(x)*\frac{1- cos^2(x)}{cos^2(x)} = 8*sin(x)*\frac{sin^2(x)}{cos^2(x)}$

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

$8*sin(x)*tan^2(x)$

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3 years ago

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True or false every real number is a complex number?

HACTEHA [7]

Answer:

$true$

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2 years ago

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Franciso makes 4 identical bags of trail mix. Each bag has 2 1/2 ounces of peanuts and an equal weight of raisins. He uses 16 ou

valentina_108 [34]

48 divided by 3 = 16
16 ounces of trail mix altogether in one bag.
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2 years ago

Permutations: 5!·4! is equivalent to what (5!)(4!)^2, (5)(4!)^2 or 20! ?

solniwko [45]

Answer:

5!*4! is equivalent to 5*(4!)^2

Step-by-step explanation:

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4 0

3 years ago

Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140

Westkost [7]

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

We are given that Seven apple women, possessing respectively 20, 40, 60, 80, 100, 120, and 140 apples, went to market and sold all their apples at the same price, and each received the same sum of money.

Formula : $a \times n + (n - 1)$ , $(a + b)\cdot n + (n - 2)$ , $(a + 2 \cdot b) \cdot n + (n - 3)$ , $(a + 3 \cdot b) \cdot n + (n - 4)$ , $(a + 4 \cdot b) \cdot n + (n - 5)$ , $(a + 5 \cdot b) \cdot n + (n - 6)$ , $(a + 6 \cdot b) \cdot n + (n - 7)$

$a \cdot n + (n - 1) = 20$

$(a + b) \cdot n + (n - 2)=40$

$(a + 2 \cdot b) \cdot n + (n - 3) = 60$

$(a + 3 \cdot b) \cdot n + (n - 4) = 80$

$(a + 4 \cdot b) \cdot n + (n - 5) = 100$

$(a + 5 \cdot b) \cdot n + (n - 6) = 120$

$(a + 6 \cdot b) \cdot n + (n - 7) = 140$

On solving :

n = 7, a = 2, b = 3

So,

$2 \times 7 + 6 = 20$

$5 \times 7 + 5=40$

$8 \times 7 + 4 = 60$

$11 \times 7 + 3 = 80$

$14 \times 7 + 2 = 100$

$17 \times 7 + 1 = 120$

Based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount :

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 + 3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

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3 years ago