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3 years ago

Which sum is equal to

Mathematics

2 answers:

Whitepunk [10]3 years ago

6 0

Answer:

First choice: $\frac{1}{x+5}+\frac{x}{x-5}$

Step-by-step explanation:

Rather than factoring the original expression to match to the list of choices, in this case it is easier to add the terms in each choice and see if it can make up the original expression. Eye balling can exclude some options quickly.

Taking the first choice and adding the two terms:

$\frac{1}{x+5}+\frac{x}{x-5}=\frac{(x-5)+x(x+5)}{(x+5)(x-5)}=\frac{x^2 +6x -5 }{x^2-25}$

sergey [27]3 years ago

4 0

Your answer should be a

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A pet store sells goldfish and hermit crabs,

Elis [28]

Answer:

$Cost = \$28$

Step-by-step explanation:

Given

Represent Goldfish with g and hermit crabs with h.

The first statement, we have:

$7g + 3h = 26$

The second statement, we have:

$4g + 5h = 28$

Required

Determine the selling price of 6 goldfish and 4 hermit crabs

The equations are:

$7g + 3h = 26$ --- (1)

$4g + 5h = 28$ --- (2)

Make g the subject in (2)

$4g + 5h = 28$

$4g = 28 - 5h$

Divide both sides by 4

$g = \frac{1}{4}(28 - 5h)$

Substitute $\frac{1}{4}(28 - 5h)$ for g in (1)

$7g + 3h = 26$

$7(\frac{1}{4}(28 - 5h)) + 3h = 26$

$\frac{7}{4}(28 - 5h) + 3h = 26$

Multiply through by 4

$4 * \frac{7}{4}(28 - 5h) + 4*3h = 26*4$

$7(28 - 5h) + 4*3h = 26*4$

Open bracket

$196 - 35h + 12h = 104$

$196 -23h = 104$

Collect Like Terms

$-23h = 104-196$

$-23h = -92$

Make h the subject

$h = \frac{-92}{-23}$

$h = \frac{92}{23}$

$h = 4$

Substitute 4 for h in $g = \frac{1}{4}(28 - 5h)$

$g = \frac{1}{4}(28 - 5*4)$

$g = \frac{1}{4}(28 - 20)$

$g = \frac{1}{4}(8)$

$g = 2$

This implies that:

1 goldfish = $2

1 hermit crab = $4

The cost of 6 goldfish and 4 hermit crabs is:

$Cost = 6g + 4h$

$Cost = 6*\$2 + 4*\$4$

$Cost = \$12 + \$16$

$Cost = \$28$

5 0

3 years ago

A tank can contain 40 gallons of gas, but it is not completely full. How much gas is in the tank if 6.5% of the tank is empty?

alukav5142 [94]

The amount of gas in the tank would be 93.5%, which is .935 in decimal form. Multiply that by 40 and the answer is 37.4 gallons.

6 0

3 years ago

Tap A fills a tank in 4hours while B fills the same tank in 3hours. Tap C empties this tank when full in 2hours. If the tank is

boyakko [2]

Answer:

<em>It will take 12 hours to fill the tank</em>

Step-by-step explanation:

Proportions

Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.

Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.

Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.

Each hour, the tank gets filled by:

$\displaystyle \frac{1}{4}+\frac{1}{3}-\frac{1}{2}=\displaystyle \frac{3}{12}+\frac{4}{12}-\frac{6}{12}=\frac{3+4-6}{12}=\frac{1}{12}$

Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank

6 0

3 years ago

Please help me I tried all day

pishuonlain [190]

1) Rent:
2200*0.3 = 660

2)Utilities:
2200/4 = 550

3)Transportation:
2200*0.1 = 220

4)Groceries:
2200*0.2 = 440

5)Entertainment:
2200*0.1 = 220

6)Other:
2200/20 = 110

Thus the thing that costs 550 is the utilities.
Hope this helps! :)

7 0

3 years ago

What is 92% of 1050km?

Mariulka [41]

Answer:

966

Step-by-step explanation:

<u>92</u> x 1050

100

966

3 0

3 years ago

Read 2 more answers