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3 years ago

108 identical books have a mass of 30kg find the mass of 150 books

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

Answer:

108÷30=(3.6)kg of one book

3.6×150=54kg

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I could really use your help , 25 POINTS!!

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since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.

According to the verticle angles rule:

angle 2 is equal to angle 6

angle 3 is equal to angle 7

angle 4 is equal to angle 8.

which proves that angle 2+4+7=90 degrees

8 0

3 years ago

Solve the given inequality and graph the solution on a number line.

Vinvika [58]

$-\dfrac{x}{2}+\dfrac{3}{2} < \dfrac{5}{2}\ \ \ \ |\cdot2\\\\-x+3 < 5\ \ \ |-3\\\\-x < 2\ \ \ \ |change\ the\ signs\\\\x > -2\to x\in(-2;\ \infty)$

Answer\ in\ attachment.

5 0

3 years ago

Alana earnerd money doing chores. Her grandmother agreed to add $4.00 to the amount Alana earned and then give her half of that

vitfil [10]

Answer:

Hence amount of Alana's donation is $4.5.

Step-by-step explanation:

Amount of Alana's donation = x

Her grandmother agreed to add $4.00 to the amount Alana earned.

So new amount of money = (x+4)

She gives only half of the sum which is (x+4)/2.

She gave her $4.25 so both values must be equal.

$\frac{\left(x+4\right)}{2}=4.25$

$x+4=4.25*2$

$x+4=8.5$

$x=8.5-4$

$x=4.5$

Hence amount of Alana's donation is $4.5.

6 0

3 years ago

I need to figure this out cause idk.

jeka57 [31]

Since she flipped the coin 20 times and got 4 heads and 6 tails, you put it as a fraction. So, it's 4/16 if you simplify 4 over 16 you get 1/4. You get this by dividing by 4 both numbers.

6 0

3 years ago

Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef

Troyanec [42]

Mrs Wright's paycheck was $ 630

<u>Solution:</u>

Given that,

Mrs Wright spend on food = $\frac{2}{9}$

Fraction spent on rent = $\frac{1}{3}$

She spent 1/4 of the remainder on transportation

Remaining left with her = $ 210

Let the paycheck amount be "n"

Now, we know that, paycheck amount = used amount + left over amount

Here, left over amount = 210

Paycheck amount = 2/9 of paycheck on food + 1/3 of paycheck on rent + 1/4 of remainder on transportation + 210

$n=\frac{2}{9} n+\frac{1}{3} n+\frac{1}{4}\left(n-\frac{2}{9} n-\frac{1}{3} n\right)+210$

Upon simplifying we get,

$n=\frac{2}{9} n+\frac{3}{9} n+\frac{1}{4} n\left(1-\frac{2}{9}-\frac{3}{9}\right)+210$

$n=\left(\frac{2}{9}+\frac{3}{9}\right) n+\frac{1}{4} n\left(1-\frac{(2+3)}{9}\right)+210$

On simplification, we get

$n=\frac{5}{9} n+\frac{1}{4} n \times \frac{4}{9}+210$

$\mathrm{n}=\frac{5}{9} \mathrm{n}+\frac{1}{9} \mathrm{n}+210$

On adding fractions we get,

$\begin{array}{l}{\mathrm{n}=\frac{6}{9} \mathrm{n}+210} \\\\ {\mathrm{n}-\frac{2}{3} \mathrm{n}=210} \\\\ {\frac{1}{3} \mathrm{n}=210} \\\\ {\mathrm{n}=3 \times 210=630}\end{array}$

Hence, the paycheck amount is $630

3 0

3 years ago