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3 years ago

13

The cargo area of the moving truck shown will be completely filled by 45 identical cube-shaped boxes. What will be the surface a

rea of one layer of boxes on the floor of the truck bed?

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

does it give the hight of the truck??

Step-by-step explanation:

You might be interested in

On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6

denis-greek [22]

<u>ANSWER:</u>

The price of senior citizen ticket is $4 and price of child ticket is $7.

<u>SOLUTION: </u>

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25 [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = $\frac{133}{19}$

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21 = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0

3 years ago

Help me please........

svetoff [14.1K]

Answer:

∠ XZY ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle, that is

sinXZY = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{6}{15}$ , then

∠ XZY = $sin^{-1}$ ( $\frac{6}{15}$ ) ≈ 23.6° ( to 1 dec. place )

4 0

2 years ago

What is the simplified value of the exponential expression 64 1/3?

notka56 [123]

Hi there!

»»————-　★　————-««

I believe your answer is:

4

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

I am assuming that the fraction is supposed to be the exponent.

⸻⸻⸻⸻

$64^{\frac{1}{3}}\\--------\\\rightarrow \text{Recall the exponent rule: } a^{\frac{m}{n}}=(\sqrt[n]{a})^m\\\\\\\rightarrow \sqrt[3]{64}\\\\\rightarrow \boxed{4}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

3 0

3 years ago

Which expression is equivalent

gtnhenbr [62]

Answer:

Option B is correct.

$\frac{81m^2n^5}{8}$ is equivalent to $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Step-by-step explanation:

Given expression: $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Using exponents power:

$(ab)^n = a^nb^n$

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

$a^m \cdot a^n = a^{m+n}$

Given: $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$

Apply exponent power :

⇒ $\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}$

⇒ $\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}$

⇒ $\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}$

Therefore, the expression which is equivalent to $\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}$ is, $\frac{81m^2 n^5}{8}$

4 0

3 years ago

Read 2 more answers

Solve the system algebraically.<br> 3x - 2y - 1 = 0 y = 5x + 4 <br> What is the solution?

Bogdan [553]

Answer:

$x=\frac{-9}{7}$

$y=\frac{-17}{7}$

Step-by-step explanation:

We have been given the equation:

$3x-2y-1=0$

And $y=5x+4$

Second equation can be rewritten as:

$5x-y=-4$

We will solve the equations:

$3x-2y=1$ (1)

$5x-y=-4$ (2)

Multiply equation (1) by 5 and equation (2) by 3 we get:

$15x-10y=5$ (3)

$15x-3y=-12$ (4)

Now, subtract (4) from (3) we get:

$-7y=17$

$y=\frac{-17}{7}$

Now substitute $y=\frac{-17}{7}$ in equation (1) we get:

$3x-2{\frac{-17}{7}}=1$

$3x+\frac{34}{7}=1$

$21x=-27$

$x=\frac[-27}{21}$

$x=\frac{-9}{7}$

3 0

3 years ago

Read 2 more answers