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OverLord2011 [107]
3 years ago
15

Solve for z: 10 = 2 = -25(4z -3)​

Mathematics
2 answers:
Anton [14]3 years ago
5 0

Answer:

z = 13/20

Step-by-step explanation:  

The steps are in the pictures below!

Alex777 [14]3 years ago
4 0
I think z is 13/20 good luck!
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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i
ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

Applying the concept:

Volume of Small Cube:

V_{cube}= (\frac{1}{4}  )^3= \frac{1}{64} \; in^3\\\\V_{Prism}=  3 \frac{3}{4}  \times 5 \times  4 \frac{1}{2}  = \frac{15}{4}  \times \frac{5}{1}  \times \frac{9}{2}  = \frac{675}{8}  \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}}   = \frac{675}{8}  \div \frac{1}{64}  \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1}   = 5400

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0
3 years ago
Read 2 more answers
Why does totality during a lunar eclipse last longer than totality during a solar eclipse?​
34kurt

Answer:

Step-by-step explanation:

Becuase the moon is completely covering the sun for 7 minutes

3 0
3 years ago
A triangle can be formed with side lengths 4, 5, 8,<br><br> A : true<br> B : false
svetoff [14.1K]
The answer would be true because 4+5 is > 8
8 0
3 years ago
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Solve system by elimination <br> 8x-8y=-16<br> -8x-7y=-29
Gnesinka [82]
Add these together.
You get -15y=-45
So y=3

Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1

Check both values in second equation.
-8(1)-7(3)=
-8-21=-29

It works...so x=1, y=3
6 0
3 years ago
Solve for x <br><br> (x+3)^2<br><br> thanks
IrinaK [193]
Answer : X^2+6x+9
(X+3)(x+3)
7 0
3 years ago
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