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3 years ago

6

In Mr Tarkiainens each student chooses two of the topics listed in the chart above for their papers how many different pairs can

Juiliana choose

1 answer:

elena-s [515]3 years ago

8 0

The answer is 90 different pairs.
So if there are 10 topics and each will get 9 pairings , so the over all pairs you will get is 90.

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2. Identify the solution to the system of equations graphed below.

12345 [234]

(-4, 1)

the solution is always where the two points meet!! :)

7 0

3 years ago

Read 2 more answers

The solution set of the equation 8x + 12 = 5x – 21.

erastovalidia [21]

Answer:

8x + 12 = 5x -21

8x-5x=-12-21

3x=-33

x=-33/3

x=-11

Hope it helps

6 0

3 years ago

Evaluate cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5.

Andre45 [30]

Answer:

Option d) 5 to the power of negative 5 over 6 is correct.

$\dfrac{\sqrt[3]{\bf 5} \times \sqrt{\bf 5}}{\sqrt[3]{\bf 5^{\bf 5}}}= 5^{\frac{\bf -5}{\bf 6}}$

Above equation can be written as 5 to the power of negative 5 over 6.

ie, $5^\frac{\bf -5}{\bf 6}$

Step-by-step explanation:

Given that cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5.

It can be written as below

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{1}{3}} \times 5^{\frac{1}{2}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{1}{3}+\frac{1}{2}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= \dfrac{5^{\frac{2+3}{6}}}{5^{\frac{5}{3}}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= 5^{\frac{5}{6}} \times 5^{\frac{-5}{3}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{\sqrt[3]{5^5}}= 5^{\frac{5-10}{6}}$

$\dfrac{\sqrt[3]{5} \times \sqrt{5}}{5^5}= 5^{\frac{-5}{6}}$

Above equation can be written as 5 to the power of negative 5 over 6.

7 0

3 years ago

Simplify 5(x - 6).<br> 5x - 6<br> 0 5x - 30

Lesechka [4]

Answer:

It depends on what property you use

Step-by-step explanation:

If you use the distributive property then you would get 5x-30

If you factor you would get 5(x-6)

4 0

2 years ago

Simplify <br><img src="https://tex.z-dn.net/?f=%285%20%2B%201%29%20%5E%7B2%7D%20%20-%20%2811%20%2B%203%20%5E%7B2%7D%20%29%20%5Cd

Elodia [21]

Answer:

31

Step-by-step explanation:

Evaluate following the order set out in the acronym PEMDAS

That is parenthesis, exponents, multiplication, division, addition, subtraction

Given

(5 + 1)² - (11 + 3² ) ÷ 4

= 6² - (11 + 9) ÷ 4

= 36 - 20 ÷ 4 ← division before subtraction

= 36 - 5

= 31

6 0

3 years ago