All categories

2 years ago

Ahmad had 80 more stickers than Tom.

Mathematics

1 answer:

Mademuasel [1]2 years ago

3 0

Answer:

180

Step-by-step explanation:

first you need to add ten to 80 and then it gives you 90, but tom had 100 and gave ten to Ahmad resulting in 10 more. so that means 90 x 2 = 180

You might be interested in

Which expression is equivalent to -<br>60x20, 24<br>30x10 12?

hoa [83]

Answer:

30x10 12

Step-by-step explanation:

6 0

2 years ago

How do you write 30/3 as a mixed number?

Natalka [10]

10. This is because 3 evenly goes into 30 without a remaining fraction

6 0

2 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

2 years ago

What is 30x4/100+59-29

Verdich [7]

Your answer is 31.2 hope that helps

7 0

2 years ago

Read 2 more answers

David brought a variety pack of delicious donuts for his daughters Amy & Anna. Amy ate 2/3 of the pack and Anna devoured 1/4

Naya [18.7K]

Answer:

Step-by-step explanation:

Let the total number of donuts in the pack be x.

Amy = 2/3x

Anna = 1/4x

David = 1

x - 2/3x - 1/4x = 1

Find common denominators for 2/3 and 1/4

The common denominator is 12

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

x - 8/12x - 3/12x = 1

x - 11/12x = 1

1/12x = 1

x = 12

You can always check

Amy = 8

Anna = 3

So David must equal to 1

Hope this helps :)

Have an awesome day!

6 0

1 year ago