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3 years ago

WILL GIVE 50 POINTS!!!!!! Question 1. 3 1/2 + 5 2/3 show all work Question 2.2/5 (3/4) simplified

Mathematics

1 answer:

anastassius [24]3 years ago

3 0

3 1/2 +5 2/3

you would want to get these to have common denominators so you would multiply them, the lowest number they both can go into is 6 so you would have both of them go into that number. And they would equal

3 3/6 + 5 4/6 = 8 7/6

You can reduce this down to

9 1/6

__________________________________________________________

2/5 (3/4)

you want to remove the parentheses so it would be

2/5 x 3/4

Then you will cross cancel the numbers (2 and 4)

1/5 x 3/2

then you want to multiply the fractions, and it would be.

3/5x2

and you multiply once again for your final answer

3/10

Answer #1: 9 1/6

Answer #2: 3/10

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Factorise 24e^2-28e-12

Helga [31]

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

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= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

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3 years ago

What is the value of x? Enter your answer in the box. x =

antoniya [11.8K]

Answer:

It's answer is 8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = x = ?

We know by using Pythagoras theorem

p = √ h² - b²

= √ 10² - 6²

= √ 100 - 36

= √ 64

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Hope it will help : ) ❤

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3 years ago

In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

Shkiper50 [21]

1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

<h3>Solution:</h3>

Given that , In $\frac{3}{4}$ pound of a banana bread, there is $\frac{1}{2}$ cup of cinnamon

To find:

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

$\frac{3}{4}$ pound of banana bread ⇒ $\frac{1}{2}$ cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

$\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}$

Hence, 1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

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Step-by-step explanation:

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