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4 years ago

If 15 is 25% of a value, what is that value?

Mathematics

2 answers:

slava [35]4 years ago

5 0

The value is 60 because 25% is 1/4 of 100%
So you just do 15*4 to get 60

vladimir2022 [97]4 years ago

4 0

That value is 60 because 15 is 1/4 of 60, and 25% is 1/4 of 100

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Operations with rational expressions

Scorpion4ik [409]

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}$

Solution:

Given expression:

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}$

To solve the given expression:

First simplify: $\frac{50-2 w^{2}}{3 w^{2}+9 w-30}$

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}$

Cancel the common factor (w + 5).

$$=-\frac{2(w-5)}{3(w-2)}$

Now substitute this in the given expression.

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}$

Multiply the fractions $\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}$

$$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}$

Factor the denominator $3(w-2)(6 w-30) =18(w-2)(w-5)$

$$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}$

Cancel the common factor 2(w – 5).

$$=-\frac{w^{2}+5 w-14}{9(w-2)}$

Factor the numerator $w^{2}+5 w-14=(w-2)(w+7)$

$$=-\frac{(w-2)(w+7)}{9(w-2)}$

Cancel the common factor (w – 2).

$$=-\frac{w+7}{9}$

$$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}$

3 0

3 years ago

Shawna has $435.15 in her savings account. Which of these numbers has a 1 with a value that is 1/10 the value of the 1 in $435.1

Margaret [11]

434.15 the 1 in this equals 1/10

5 0

3 years ago

NEED HELP ASAP GIVING BRAINLIST!!!!!!!

Shtirlitz [24]

(a) 8(4x+3) > -1 + 7x

32x + 24 > -1 + 7x

32x - 7x > -1 -25

25x >-26

x > -26/25

(b) 167 < 6 + 7(2 - 7r)

167 < 6 + 14 - 49r

49r < 6 + 14 - 167

49r < - 147

r < - 3

8x + 40 > -8 + 56x

56x - 8x < 48

48x < 48

x < 1

(d)5( 6 + 3r) + 7 > 127

30 + 15r + 7 > 127

15r > 127 - 37

15r > 90

r > 6

5 0

3 years ago

Can you guys help please im so confused

marissa [1.9K]

Answer:

a) see below

b) 40x20 meters

Step-by-step explanation:

Write down what you know:

- The area of the enclosure is length*width, so

$A = x \cdot y$

- The length of the fencing is 80 meters, so

$2y + x = 80$

Now we have to combine these two equations above, and get rid of y in the process.

First rewrite the second as:

$y = 40 - \frac12 x$

Then substitute for y in the first:

$A = x (40 - \frac12 x) = 40x - \frac12x^2$

b) To maximize A, find the zero of the first derivative:

$A'(x) = 40 - x = 0 \implies x=40$

So y = (80-40)/2 = 20 meters.

8 0

3 years ago

Mariah cuts a rectangle along its diagonal. Two congruent triangles are created. The two angles created by the diagonal have a s

Savatey [412]

X + y = 90 because the 2 angles add up to 90

Now m < x = five times m < y, so x = 5y or y = x/5

so the last choice is the correct one.

5 0

4 years ago

Read 2 more answers