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3 years ago

7

What number should be placed in the box to help complete the division calculation?

1 answer:

Arte-miy333 [17]3 years ago

4 0

Answer:

160

Step-by-step explanation:

Because this is long division, we should go down level by level, so it is 160. (aka 16*10)

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If each person gets a 1/2 gallon of water, then how many people can share 64 gallons of water?

Sonja [21]

Answer: 128 people

Step-by-step explanation:

every 2 people get a gallon so 2*64=128

8 0

3 years ago

If Fred travels 135 miles in 3 hours at a rate of 45 mi/hr, find the rate at which he travels to cover a distance of 189 miles i

posledela

Rate (or speed) = distance/time

V1 = 135/3 = 45 mi/h

V2 = 189/3.5 = 54mi/h

8 0

3 years ago

Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

eimsori [14]

Answer:

(a) $5^{8}$

(b) 3

(c) 27

(d) $\dfrac{1}{6}$

Step-by-step explanation:

We need simplify the given expressions.

(a)

Consider the given expression is

$(5^4)(25^2)$

$(5^4)((5^2)^2)$

Using the properties of exponents we get

$(5^4)(5^4)$ $[\because (a^m)^n=a^{mn}]$

$5^{4+4}$ $[\because a^ma^n=a^{m+n}]$

$5^{8}$

(b)

Consider the given expression is

$(9^{\frac{1}{3}})(3^{\frac{1}{3}})$

$((3^2)^{\frac{1}{3}})(3^{\frac{1}{3}})$

Using the properties of exponents we get

$(3^{\frac{2}{3}})(3^{\frac{1}{3}})$ $[\because (a^m)^n=a^{mn}]$

$3^{\frac{2}{3}+\frac{1}{3}}$ $[\because a^ma^n=a^{m+n}]$

$3^{1}$

$3$

(c)

Consider the given expression is

$(\dfrac{1}{3})^{-3}$

Using the properties of exponents we get

$(\dfrac{3}{1})^{3}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$3^{3}$

$27$

(d)

Consider the given expression is

$(6^4)(6^{-5})$

Using the properties of exponents we get

$6^{4+(-5)}$ $[\because a^ma^n=a^{m+n}]$

$6^{-1}$

$\dfrac{1}{6^{1}}$ $[\because a^{-n}=\dfrac{1}{a^n}]$

$\dfrac{1}{6}$

6 0

3 years ago

Simplify this expression: 3c + 7 - 9c

Nookie1986 [14]

Answer:

-6c + 7

Step-by-step explanation:

To simplify this expression, you must add like terms. Because 3c and -9c both have the same variable (c), they are like terms.

3c + (-9c) = -6c

The 7 stays the same, so the simplified expression is -6c + 7.

Hope this helped :)

3 0

3 years ago

A jar contains 5 blue marbles, 6 yellow marbles, and 4 green marbles. What is the probablity of randomly choosing a yellow marbl

marusya05 [52]

First, you need to choose a yellow marble. That is 6/15.

Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.

So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.

4 0

3 years ago