What is the age of each of these people.

yesterday grace drove 28 1/2 miles she used 1/4 gallons of gasoline.what is the unit rate for miles per gallon

Verizon [17]

MPG= 30 4/5 or 30.8 is I think is the answer.

8 0

3 years ago

Read 2 more answers

The decimal representation of 21/16x15 will terminate after how many decimal places ?

Bogdan [553]

<u>Answer</u><u>:</u>

4 decimal places On simplifying

1250

6

,

we get,

1250

6

=0.0048.

We see that after the decimal point, there are 4 places of decimal

Hence, it will terminate after 4 places of decimal.

4 0

2 years ago

Three consecutive term of progression are 30,24 ,20 the next term of progression is ? Can anyone solve this question..

NeX [460]

It could be 18

The problem here is there are only 3 terms to consider, which makes it difficult to determine if the sequence is geometric or arithmetic

If we consider the difference in the terms

30 - 24 = 6

24 - 20 = 4

The differences are not constant so we can only guess at what the next term might be

the difference in the next terms might be 2 , following the pattern subtract 2 from each difference

20 - ? = 2 gives ? = 18

5 0

3 years ago

Which expression is equivalent to (startfraction 4 m n over m superscript negative 2 baseline n superscript 6 baseline endfracti

ohaa [14]

The equivalent expression to $\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}$ is given by $=\mathbf{\frac{n^{10}}{16m^6}}$ .

From the principle of indices we get,

Addition of exponent, $a^{m+n}=a^m.a^n$

Subtraction, $a^{m-n}=\frac{a^m}{a^n}$

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

negative exponent, $a^{-m}=\frac{1}{a^m}$

Here in the problem given expression is $\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}$

Calculating we get,

$\left(\frac{4mn}{m^{-2}n^6}\right)^{-2}$

$=\left(4m^{1-(-2)}n^{1-6}\right)^{-2}$ , using addition and subtraction of indices formulae

$=\left(4m^3n^{-5}\right)^{-2}$

$=16^{-1}m^{-6}n^{10}$ , using multiplication of indices

$=\frac{n^{10}}{16m^6}$ , using negative exponent formula

Hence the equivalent required expression is $=\frac{n^{10}}{16m^6}$ .

Learn more about Indices here -

brainly.com/question/170984

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3 0

2 years ago

We hear a great deal about overpopulation, but if air and elbow room were not an issue, show that you could put the entire world

Anna35 [415]

Answer: The below explanation shows that we could put the entire population on the given box.

Step-by-step explanation:

Here, it is given that on average, people can fit into a box that is 7' tall, 2' wide and 1' deep.

That is, the approximate volume of the box in which a person can be fit = 7 × 2 × 1 = 14 cube feet

But, the given population of the world = 7 000,000,000

Thus, the total approximate volume of the 7 billion people = 14 × 7 000,000,000 = 98,000,000,000 cube feet

Also, it is given that, the volume of the given box = 1 mile x 1 mile x 1 mile = $5280^3$ cube feet = 147197952000 cube feet.

Since, we can say that the entire population of the world can put the box

If total volume of the box / total volume of the population $\geq$ 1

Here, 147197952000 / 98,000,000,000 = 1.5 > 1

Therefore, the entire population can be put in the box.

8 0

3 years ago