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Alexxx [7]
2 years ago
6

Evaluate the expression.

Mathematics
2 answers:
Tamiku [17]2 years ago
8 0

Answer:

\sf2 \cdot \cfrac{7(3 {}^{2}) }{3}  = \boxed{ \bf 42}

Step-by-step explanation:

Given expression:

\sf2 \cdot \cfrac{7(3 {}^{2}) }{3}

To :

  • Evaluate the expression.

Solution:

Let's use PEMDAS for evaluating.

  • P stands for Parentheses
  • E for exponents
  • M for multiplication
  • D for Division
  • A for addition
  • S for subtraction

\sf2 \cdot \cfrac{7(3 {}^{2}) }{3}

\rightarrow 2 \times  \cfrac{7(9)}{3}

\rightarrow \: 2 \times  \cfrac{63}{3}

\rightarrow \:  \cfrac{2 \times  \cancel{63}  \:  \: {}^{21} }{ \cancel3 \:  \:  {}^{1} }

\rightarrow2 \times 21

\longrightarrow \sf \: 42

<u>Hence we can conclude:</u>

\sf2 \cdot \cfrac{7(3 {}^{2}) }{3}  = \boxed{ \bf 42}

EastWind [94]2 years ago
4 0

Answer:

42

Step-by-step explanation:

We use (BODMAS) :

Brackets

Order/Index

Division

Multiplication

Addition

Subtraction

Now we do bracket first :

7(3²) = 7(9) = 63

Now we do division :

63÷3 = 21

Now we do multiplication :

2 × 21 = 42

Hope this helped and have a good day

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Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
WILL GIVE BRAINLIEST!!!! I just need the answer not a detailed explanation. Answer within 2 mins for brainliest.
lara31 [8.8K]

Answer: ₄√2

Step-by-step explanation:

4 0
3 years ago
When asked to write an equivalent expression to 5(a+3),Alejandra wrote 5a+8. Is she correct? If not, what is the correct answer?
Reika [66]

5a+8

Answer is NOT 5a+8

5(a+3) Multiply the bracket by 5

5(a)+5(3)

5a+15

Correct answer is supposed to be: 5a+15

4 0
4 years ago
Hiro bought a small carton of milk at lunch.
Bogdan [553]

Answer

If I understand the problem correctly, It would be 95 inches squared although the number I got was 95.74, which would actually round to 96. What I think it is asking for is the surface area of the milk carton.

Bottom:

<em>length * width</em>

3 * 3 = 9

Rectangular Sides:

One side would be the length or width (which both equal 3) times the height (6.5), and there are 4 total sides.

<em>number of sides(length or width * height)</em>

4(3 * 6.5) = 4(19.5) = 78

Triangular Sides:

One side would be \frac{1}{2} * base (3) times height (1.5), and there are 2 triangular sides.

<em>2(1/2(base * height))</em>

2(1/2(3 * 1.5)) = 3 * 1.5 <em>(The 2 and the 1/2 cancel each other out)</em> = 4.5

The Roof-shaped Top Surfaces:

These are rectangles that you the width is equal to the length of the rectangular prism, and the length is equal to the one side of the triangle. You can find that length by using the Pythagorean theorem (\sqrt{1.5^2 + 1.5^2}) which 1.5 is half of the base and the other 1.5 is the height. There are 2 of these rectangles making the final equation 2\sqrt{1.5^2+1.5^2} ≈ 4.24.

Now, add up each of the values:

9 + 78 + 4.5 + 4.24 = 95.74.

Comment if you see an error in my work.

3 0
3 years ago
Read 2 more answers
What is the slope of the function represented by the table of values below
enyata [817]

Answer:

the table of values?

Step-by-step explanation:

8 0
3 years ago
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