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Liula [17]
3 years ago
7

Solve the system below using an appropriate method.

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0
Using substitution:
4x+2y=12
y=8x+1

4x+2(8x+1)=12

distribute
4x+16x+2=12

combine like terms
18x+2=12

subtract 2 from both sides
20x=10

divide each side by 20
x=10/20

reduce
x=1/2

plug in x for the y= equation
y=8(1/2)+1

multiply
y=4+1

add
y=5

answer:
(1/2,5)
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Tim wants to create a circle graph showing the number of physicians whose specialty is aerospace medicine. He knows the followin
Alenkinab [10]

Answer:

107 :)

Step-by-step explanation:

In total there are 53+8+155+17+145+10+98+2=488 physicians of aerospace medicine. 45-54 year-old males account for 145/488 of this population, so they should account for that fraction of the central angle of the circle graph also. Since there are 360 degrees in the central angle to divide up among the groups, the 45-54 year-old male group should get 145/488 x 360 which rounds to about 107 degrees.

8 0
2 years ago
PLEASSSSSE I NEED HELP BAD HELP PLEASE
charle [14.2K]

Answer:

See explanation

Step-by-step explanation:

Given the equation 3x-4y=12

A. Create the table of values for at least 4 points.

When x=0,

3\cdot 0-4y=12\\ \\-4y=12\\ \\y=-3

When x=2,

3\cdot 2-4y=12\\ \\-4y=12-6\\ \\-4y=6\\ \\y=-1.5

When x=4,

3\cdot 4-4y=12\\ \\-4y=12-12\\ \\-4y=0\\ \\y=0

When x=6,

3\cdot 6-4y=12\\ \\-4y=12-18\\ \\-4y=-6\\ \\y=1.5

When x=8,

3\cdot 8-4y=12\\ \\-4y=12-24\\ \\-4y=-12\\ \\y=3

Thus, the table is

\begin{array}{cc}x&y\\0&-3\\2&-1.5\\4&0\\6&1.5\\8&3\end{array}

B. Use the table of values to graph the line on the coordinate plane. Plot given points and connect them with the straight line (see attached diagram).

7 0
3 years ago
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Svetlanka [38]
Answer= 75 miles

Explanation: 120 divided by 8= 15

15 times 5= 75
4 0
3 years ago
The force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the
crimeas [40]
We have that F is proportional to m1. Hence, we have that F=m1*c when we change the first mass. We also have that F=m2*c when we only change the 2nd mass. Since F scales inversely with the square of the distance, we have that F= \frac{c}{d^2}. Combining all of the facts above, we get that F=c*\frac{m_1 m_2}{d^2} where c is a constant.
3 0
3 years ago
6 (x+15) evaluate the expression for x=-4
Gala2k [10]
The answer would be 66.

6(-4 +15)
=
66
4 0
3 years ago
Read 2 more answers
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