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zhannawk [14.2K]
3 years ago
13

Use substitution to solve for x in the system of equations.

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0
Equation 1) 10x + 2y = 30
Equation 2) 4x + y = 4

Multiply all of equation 2 by 2.

2)  2(4x + y = 4)

2)  8x + 2y = 8
1)  10x + 2y = 30

Subtract equations from each other.

-2x = -22

Divide both sides by -2.

x = -22/-2

x = 11

B) x = 11

~Hope I helped!~


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AfilCa [17]

Answer: 11.65685....

Step-by-step explanation:

3 0
3 years ago
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What is 2 to the power of 4/3 equal to
Reika [66]

Answer:

<h2><u>E</u><u>k</u>sponent</h2>

\sf{ \large{ \boxed{ \red{ {a}^{ \frac{n}{m}  }  =  \sqrt[m]{ {a}^{n} } } } }}

\sf{ {2}^{ \frac{4}{3} } }

=  \sqrt[3]{ {2}^{4} }

=   \sqrt[3]{2 \times 2 \times 2 \times 2}

=   \boxed  {\bold{\sqrt[3]{16}(c.) }}

4 0
2 years ago
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.
siniylev [52]

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

8 0
3 years ago
A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration o
g100num [7]

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2

3 0
3 years ago
What is 9 over 5 in a percent
Nataly_w [17]
So you convert the fraction into a decimal then multiply it by 100 so the percentage would be 180%
3 0
4 years ago
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