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3 years ago

If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

3 3/5 minutes

Step-by-step explanation:

Let one measure of volume be 5/9 of a tank, or (5/9)(tank).

We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.

Write and solve an equation of ratios:

(5/9) (tank) 2 minutes

------------------- = ----------------

(9/9) (tank) x

Solve for x, which represents the number of minutes required to fill the whole tank:

(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)

The whole tank will be filled in 3 3/5 minutes.

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Debra start a babysitting business. She purchased toys, snacks, and other supplies. She charged an hourly rate for each child. T

Ghella [55]

Answer:

A. 6y

Step-by-step explanation:

The profit formula is: total earnings- total expenses. In this case the 145 has a minus sign, which indicates that these are Debra's total expenses. Then, 6y represents total revenue. You can also identify that this is the answer because revenues depend on babysitting hours, which in this case, is represented by the variable "y".

8 0

3 years ago

Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear

AlladinOne [14]

Answer:

$x=\frac{83}{50}$

Step-by-step explanation:

we know that

If the three points are collinear

then

$m_A_B=m_A_C$

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope AB

we have

$A(1,\frac{2}{3}),B(x,-\frac{4}{5})$

substitute in the formula

$m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}$

$m_A_B=\frac{\frac{-12-10}{15}}{x-1}$

$m_A_B=-\frac{22}{15(x-1)}$

step 2

Find the slope AC

we have

$A(1,\frac{2}{3}),C(-\frac{1}{2},4)$

substitute in the formula

$m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}$

$m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}$

$m_A_C=-\frac{20}{9}$

step 3

Equate the slopes

$m_A_B=m_A_C$

$-\frac{22}{15(x-1)}=-\frac{20}{9}$

solve for x

$15(x-1)20=22(9)$

$300x-300=198$

$300x=198+300$

$300x=498$

$x=\frac{498}{300}$

simplify

$x=\frac{83}{50}$

8 0

4 years ago

A certain brand of golf balls comes in packs of 24. Each pack has three yellow golf balls in it. Willam orders 360 golf balls on

iogann1982 [59]

Start by taking the total number of golf balls, 360, and dividing it by how many golf balls come in each pack, to find the number of packs.

360 ÷ 24 = 15

So there are 15 packs, each with 3 yellow golf balls.

15 · 3 = 45

Meaning 45 of the golf balls would be yellow

3 0

3 years ago

Read 2 more answers

Mr. Sanchez bought 2 magazine for 9.95 each and 1 book for 14.95 if the sales tax is 6% what is the total cost of Mr. Sanchez pu

Dima020 [189]

Rst you have to find the price of everything together

2 magazines for 9.95 each and a book for 14.95

9.95 + 9.95 + 14.95 = 34.85

Next you convert the percent to a decimal

6% = 0.06

Now you put a one in the ones place

1.06

Multiply this by the cost of everything

34.85 * 1.06 = 36.94

The answer is $36.94

Hope this helps!

Read more on Brainly.com - brainly.com/question/10235412#readmore

5 0

3 years ago

Susan wanted to share her 37 seashells with her two younger brothers. If she divided her seashells between the three of them, ho

VikaD [51]

Given :

Susan wanted to share her 37 seashells with her two younger brothers.

To Find :

If she divided her seashells between the three of them, how many would each person get.

Solution :

Let, each person will get x seashells.

So,

$x = \dfrac{\text{Total number of seashells}}{\text{Number of persons}}\\\\x = \dfrac{37}{3}\\\\x = 12.333$

But as we know seashells cannot be in decimal.

Therefore, each person will get exactly 12 shells.

8 0

3 years ago