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Lena [83]
3 years ago
13

Solve 4(2x - 1) - 3 = 9(x - 4). (1 point)

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Answer:

x = 29

Step-by-step explanation:

First we will expand the equation using the rule

x(y - z) = xy - xz

Thus,

4(2x - 1) - 3 = 9(x - 4)

is equal to

8x - 4 - 3 = 9x - 36

Simplify:

8x - 7 = 9x - 36

Add 36 to both sides:

8x + 29 = 9x

Therefore,

x = 29

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Write 8 * 10^-7 in standard form<br> 8*10^-7 =____
tino4ka555 [31]

Answer:

  • 0.0000008

Step-by-step explanation:

<u>Given</u>

  • 8*10^-7

<u>Converted to standard form</u>

  • 8*10^-7 = 8*0.0000001 = 0.0000008
4 0
3 years ago
Read 2 more answers
Drag a statement or reason to each box to complete this proof.<br><br><br><br> If 4x+5=17, then x=3.
natita [175]

Statement                          Reason

1) 4x + 5 = 17                    Given

2) 4x + 5 - 5 = 17 - 5         Subtraction property of equality

3) 4x = 12                         Simplifying

4) 4x/4 = 12/4                   Division property of equality

5) x = 3                             Simplifying

6 0
3 years ago
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How is — 6n + 5 &lt; 11 shown in a graph
anyanavicka [17]

Answer:

Option C

Step-by-step explanation:

Solve the inequality like an equation using inverse operations.

-6n+5<11

-6n+5-5<11-5

-6n<6   when you divide by -6 be sure to change the sign

n>-1

Graph it in the number by placing an open circle on -1 and marking the arrow to the right.

7 0
3 years ago
Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.19 cm and a height of 6
Taya2010 [7]
First, solve for the volume (V) of each cylinder by the equation,
                                     V = πd²h / 4
where d and h are diameter and height, respectively. Substituting the given values,
                                     V = π(6.19 cm)² x (6 cm) / 4 = 180.56 cm³
To determine the number of cylinders needed, divide the volume of the solid block by the volume of the cylinder,
                                       n = 360 cm³ / 180.56 cm³ = 1.99
Thus, approximately 2 cylinders are needed to mold one block of gold. 
5 0
3 years ago
Read 2 more answers
I NEED PLEASE IT WOULD REALLY HELP ME ALOT !!<br><br><br> NO LINK OR ZOOMS
Karolina [17]

Answer:

C

Step-by-step explanation:

Don't worry about the volume to start with. Just look at the area of the top or bottom.

The hole has a 4 inch diameter

d = 4

r = d/2

r = 2

Area = pi r^2

Area = pi * 2^2

Area = 4 pi

Now find the area of the top (or bottom) if the circle was not there.

L = 8

W = 6

Area = L * W

Area = 8 * 6

Area = 48

Now take away the area of the circle.

Area Top = 48 - 4 * pi

Area Top = 48 - 12.56

Area Top = 35.44

Finally, Find the volume

Volume = area of the top * height

Volume = 35.44 * 15

Volume = 531.6

8 0
3 years ago
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