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V125BC [204]
3 years ago
8

The product of a number and -7 gives seven times the sum of that number and -40. Find the number

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
Let the unknown number be x.

x × -7 = 7 (x + -40)

-7x = 7x - 280

-14x = -280

x = 280/14

x = 20

Hope this helps!
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find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut
Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

5 0
3 years ago
(08.01 MC)
Colt1911 [192]

Part A:

We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution.

Part B:

As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.

6 0
3 years ago
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sasho [114]
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3 years ago
Which situation is best? a. having $3,280.00 in a savings account earning a 4.25% APR and $1,320.00 due on a credit card with a
nexus9112 [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Determine the slope from the given graph below:
Greeley [361]

Step-by-step explanation:

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y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

8 0
2 years ago
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