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3 years ago

10

- A fish tank filter cleans 3 gallons of water every 1/4 hour. Set up and solve a proportion to determine how many gallons of wa

ter are cleaned in 4 hours.

1 answer:

patriot [66]3 years ago

3 0

Answer: 48 gallons in 4 hours

Step-by-step explanation:

3 gallons every .4 hours > 12 gallons every 1 hour > 48 gallons every 4 hours

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Thus the given expression is simplified

8 0

3 years ago

A=1/2h(B+b); A=45, B=4, b=5

klemol [59]

Answer: h=10

Solving Steps:
45 = 1/2h x (4+5)
45 = 1/2h x 9
45 = 9/2h
10 = h
h = 10

4 0

4 years ago

An equipment rental business currently charges $32.00 per power tool rental and averages 24 rentals a day. The company recently

pogonyaev

Part a I think sorry if I’m wrong

8 0

3 years ago

Joan and her brother Justin left a hotel at the same time, driving in opposite directions at constant rates. After traveling for

inessss [21]

Answer:

Joan drive with a speed of 55 miles per hour.

Step-by-step explanation:

Given:- Travelling time (t) = 4 hours.

Travelled distance (d) = 480 miles.

Speed of Justin is 10 miles per hour faster than Joan.

To find:- Speed of Joan = ?

Solution:-

Let speed of Joan be x,

therefore speed of Justin = x+10 ---------------(from given)

Now, Total speed of Joan and Justin = x+x+10

Total speed of Joan and Justin = 2x+10 ------------(1)

Now formula for speed is,

Speed = $\frac{distance}{time}$

$2x+10=\frac{480}{4}$ -------------(from 1 and given)

$2x+10=120$

$2x=120-10$

$2x=110$

$\therefore x=\frac{110}{2}$

$\therefore x= 55$

as x is the speed of Joan,

Therefore Joan drive with a speed of 55 miles per hour.

6 0

3 years ago

Read 2 more answers

If 23 out of every 100 people like ribs what percentage is that

harina [27]

23% is the answer my dude

7 0

3 years ago