<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Ctimes%2012" id="TexFormula1" title=" \frac{3}{4} \times 12"

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4 years ago

alt=" \frac{3}{4} \times 12" align="absmiddle" class="latex-formula">
multiply or divide draw a model to explain your thinking
I really need this please help

Mathematics

1 answer:

vodomira [7]4 years ago

4 0

The answer to 3/4 x 12 equals 9

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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

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

uysha [10]

Answer:

B) 9

Step-by-step explanation:

Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:

Dividend ÷ Divisor = Quotient

18 ÷ 2 = 9

3 0

3 years ago

If f(x) = 4x4 + 5x2 + 4, then what is the remainder when f(x) is divided by<br> 2 + 2?

Westkost [7]

Step-by-step explanation:

16+10+4

26+4

30÷(2+2)

30÷4

7 1/2

4 0

3 years ago

Stacy paid $54 for 6 pizzas, which is a rate of $ ? per pizza.

irakobra [83]

Answer: it’s 9

Step-by-step explanation:

54 divined by 6 = 9

7 0

3 years ago

Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons

MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In $\frac{1}{2}$ hour Jen picked $\frac{3}{4}$ gallon of strawberries.

Unit rate per hour = $\frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}$

To find the number of gallons will she have picked in 2 hours.

$Number of gallons = unit rate per hours \times 2$

= $\frac{3}{2} \times 2 = 3$

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0

3 years ago