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4 years ago

Area of triangle=42, the width is x+3 and the length is 2x+8, find the value of x

Mathematics

1 answer:

beks73 [17]4 years ago

8 0

Step-by-step explanation:

Area of triangle = 1/2 × the width × the length

42 = 1/2(x+3)(2x+8)

42 = 1/2×2×(x+3)(x+4)

42 = (x+3)(x+4)

(x+3)(x+4) = 42

x² + 7x + 12 = 42

x² + 7x + 12 - 42 = 0

x² + 7x - 30 = 0

(x-3)(x+10) = 0

x = 3, -10

x can't be -10 because the width and the length should be only + values

x = 3

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4 years ago

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Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

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3 years ago

If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?

muminat

Answer:

The expression represents JL is 3x - 2.

Step-by-step explanation:

Given:

JM = 5x – 8 and LM = 2x – 6.

Now, to find expression represents JL.

JM = JL + LM

Subtracting both sides by LM we get:

JM - LM = JL.

JL = JM - LM

Now, putting the expression to get JL:

$JL=5x-8-(2x-6)$

$JL=5x-8-2x+6$

$JL=3x-2.$

Therefore, the expression represents JL is 3x - 2.

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3 years ago

Which sampling method is MOST appropriate in estimating the average number of votes for each candidate in an election across a c

kaheart [24]

Answer:

B. Stratified sampling, because there are specific subgroups to investigate.

Step-by-step explanation:

Stratified Sampling is a sampling method and is used when the population has subgroups with different characteristics. Random sampling is applied in each of the sub-groups proportional to their size and then these samples combined together to create sample of the study.

Since there are three towns with people from different occupations ( retirees,business owners, office workers), it is better to use stratified sampling method.

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3 years ago

a store has a 20% off sale on pants with this discount, the price of one pair of pants before tax is $15.20. what was the origin

anastassius [24]

Answer:

19$

Step-by-step explanation:

In this problem, we have to apply the rule of three. Also, we must have present that $15.20 is the 80% of the price, because the store offers a 20% of discount. So, if $15.20 is 80%, how much would be the 100%?

Therefore, the original price of the pants is $19.

Remember that we must identified the right proportion to apply the rule of three, in this case, that proportion is the 80% with 15.20, that's the reason or fraction center of the whole operation.

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3 years ago