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Shtirlitz [24]
3 years ago
11

Simplify. 54+4(34−12)2 Enter your answer in the box.

Mathematics
2 answers:
fredd [130]3 years ago
5 0

Hello! I'm happy to help!

To solve this expression, we need to use the order of operations, or PEMDAS.

PEMDAS stands for Parenthesis, Exponents, Multiplication or Division, and Addition or Subtraction.

We go in this order, but in the case we have both multiplication and division, or both addition or subtraction, we work from left to right.

First, we see if we have parenthesis, which we do.

54+4(34−12)2

We solve the parenthesis first, but, both the 2 and 4 are right next to the parenthesis without a sign, which means multiplication.

54+4×(34−12)×2

Inside the parenthesis we have the problem 34-12, which is 22.

54+4×(34−12)×2

54+4×(22)×2

We can remove the parenthesis now that there isn't a problem inside of them.

54+4×22×2

54+4×22×2

Next we check if we have any exponents, which look like this: x²

We have none, so we move onto multiplication or division. We have some multiplication, so we solve that going from left to right.

54+4×22×2

54+88×2

54+88×2

54+176

54+176

Now we look for addition or subtraction. We have one addition problem, so we solve that.

54+176

230

230

We have no more operations, so this problem is fully simplified to <u>230</u>.

I hope this was helpful, keep learning! :D

<u></u>

gtnhenbr [62]3 years ago
3 0

Answer:

230

Step-by-step explanation:

54+4×22×2

54+88×2

54+176

230

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Step-by-step explanation:

Make a proportion.

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What is the value of n in the equation -1.2(2n+4)+6=-9+4(2n+1)
Shalnov [3]

Answer:

n = 6.2/-10.4=0.5962

Step-by-step explanation:

What is the value of n in the equation. we would make n the subject formula -1.2(2n+4)+6=-9+4(2n+1)

Opening the brackets,

-1.2×2n -1.2×4 + 6= -9 +4×2n + 4×1

-2.4n -4.8 +6 = -9 +8n + 4

-2.4n -4.8 +6 = -9 + 4 + 8n= -5+8n

Collecting like terms

-2.4n-8n = -5+4.8-6

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n = -6.2/-10.4= 0.5962

Let's check, put n= 0.5962 in the equation

-2.4n -4.8 +6 = -9 +8n + 4

Lefthand side

-2.4×0.5962-4.8+6= -0.230

Right hand side

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Catherine and Lance open a savings account at the same time. Catherine deposits $100 initially and adds $20 per week. Lance depo
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Answer:

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The next thing to do is to divide the difference in amount(400) by the amount contributed by each person per week.

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400/20 = 20

Lance deposits $10 per week

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The LCM between 40 and 20 is 40 weeks.

Therefore, both individuals need to deposit money for 40 weeks for both of their savings to be the same.

If Catherine deposits $20 for 40 weeks,she will have 40 × 20 = $800 + $100(initial deposit that she made) = $900

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