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3 years ago

I need help please and thank you

Mathematics

2 answers:

Alik [6]3 years ago

7 0

Answer:

Step-by-step explanation:

5x-10>15

5x> 15 +10

5x > 25

x > 5

MAVERICK [17]3 years ago

4 0

Answer:

Step-by-step explanation:

5x - 10 > 15

Add 10 to each side

5x-10+10 >15+10

5x > 25

Divide each side by 5

5x/5 >25/5

x>5

There is a open circle at 5 and the line goes to the right since x is bigger

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18 is what percentage of 25

pentagon [3]

Answer:

Step-by-step explanation:

72%

3 0

3 years ago

Read 2 more answers

Oliver took a math quiz last week. There were 25 problems on the quiz and Oliver answered 80% of them correctly. How many proble

aleksandr82 [10.1K]

Answer:

He answered 20 questions correctly.

Step-by-step explanation:

25×.8(80%) = 20.

6 0

3 years ago

A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta

Semenov [28]

1. The formula for calculate the perimeter of a rectangle, is:

P=2L+2W

P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.
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2. The problem says that the length of the rectangle is three times the width, so you have:
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L=3W

3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet

4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:

x=P-W
x=320 feet-40 feet
x=280 feet
<span>
How many linear feet of fence must he buy?
</span>
The answer is: 280 feet

5 0

3 years ago

If 25% of a number is 12, what is 75% of that number?

snow_tiger [21]

Answer:

Step-by-step explanation:

$\frac{0.25}{0.75} =\frac{12}{x} \\$

$0.75 *12=9$

$\frac{9}{0.25} =36$

8 0

3 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
$\implies\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{(a_1x+a_0)(x+2)+b(x+1)^2}{(x+1)^2(x+2)}$
$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
$\implies\begin{cases}a_1+b=1\\2a_1+a_0+2b=1\\2a_0+b=1\end{cases}\implies a_1=-2,a_0=-1,b=3$

So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
$=\displaystyle-2\int_1^3\dfrac{x-1}{x^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$

where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago