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3 years ago

Simplify 5 + 22 − 3(6) ÷ 3

Mathematics

2 answers:

rjkz [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Use PEMDAS.

6*3=18

18/3=6

22+5=27

27-6=21

8090 [49]3 years ago

6 0

Answer:

Step-by-step explanation:

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Can somebody please help me find the volume of this triangular prism?

Bas_tet [7]

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

$\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216$

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3 years ago

how to use Lcd in this problem? [a-2. -_1_ =_3_]find Lcd [ a+3 1 a-2]. (a+3)(a+2). multiply all neumerator to (LCD) a-2 - 1= 3 _

san4es73 [151]

It's not entirely clear to me what you're trying to solve, but it looks like the initial equation is

$\dfrac{a-2}{a+3} -1 = \dfrac3{a+2}$

First convert each term into a fraction with the same (i.e. the least common) denominator. The first term needs to be multiplied by a + 2; the second term by (a + 3) (a + 2); and the third term by a + 3 :

$\dfrac{a-2}{a+3}\cdot\dfrac{a+2}{a+2} -1\cdot\dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac3{a+2}\cdot\dfrac{a+3}{a+3} \\\\ \dfrac{(a-2)(a+2)}{(a+3)(a+2)} - \dfrac{(a+3)(a+2)}{(a+3)(a+2)} = \dfrac{3(a+3)}{(a+3)(a+2)}$

Now that everything has the same denominator, we can combine the fractions into one. Move every term to one side and join the numerators:

$\dfrac{(a-2)(a+2)-(a+3)(a+2)-3(a+3)}{(a+3)(a+2)} = 0$

Simplify the numerator:

$\dfrac{(a^2-4)-(a^2+5a+6)-(3a+9)}{(a+3)(a+2)} = 0 \\\\ \dfrac{-8a-19}{(a+3)(a+2)} = 0$

If neither a = -3 nor a = -2, we can ignore the denominator:

$-8a-19 = 0$

Solve for a :

$-8a = 19 \\\\ \boxed{a = -\dfrac{19}8}$

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3 years ago

A bag contains 20 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 20%. The p

kaheart [24]

The probability of picking up a red marble is 30%

3 0

4 years ago

Read 2 more answers

If price rises, what happens to supply for a product? Group of answer choices a.It does not change. b.Uncertain-economic theory

Kisachek [45]

Answer:

c.It increases.

Step-by-step explanation:

The Law of Supply and Demand states that:

The higher the prices, the higher the supply, the lower the demand. This means that at a higher price, sellers will try to sell more of the product(increasing supply), but buyers will buy less of this product(decreasing demand).

So the correct answer is:

c.It increases.

7 0

3 years ago

Ellie compared 4/7 and 5/3 by first comparing each fraction to 1/2 and 1.

Sliva [168]

Answer:

Step 3

Step-by-step explanation:

She made her first mistake in Step 3.

This is because 4/7 is actually less than 5/3.

Step 1 and 2 are mathematically accurate.

1/2 is less than 1.

So, since 4/7 is only greater than 1/2 and not greater than 1 as compared to 5/3 which is actually greater than 1, she should have concluded that 4/7 is less than 5/3.

Therefore, Step 3 contains the mistake.

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3 years ago