MATHEMATICS MIDDLE SCHOOL

A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12)

Answers

Answer 1
Answer:

Answer:

The solution to the system of equations is (8,11)

Step-by-step explanation:

A system of linear equations includes the line that is created by the equation y = x+ 3

The line through the points (3, 1) and (4, 3)

(x_1,y_1)=(3,1)\n(x_2,y_2)=(4,3)

Equation of line =y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

Equation of line =y-1=(3-1)/(4-3)(x-3)

Equation of line =y-1=2x-6

Equation of line =y=2x-5

On a coordinate plane, a line goes through (0, 3) and (2, 5).

(x_1,y_1)=(0,3)\n(x_2,y_2)=(2,5)

Equation of line =y-3=(5-3)/(2-0)(x-0)

Equation of line =y=2x+3

Plot all lines on graph

y = x+ 3 ---- Blue line

y=2x-5 --- Green line

y=2x+3  ---- Purple line

Refer the attached figure :

Hence the solution to the system of equations is (8,11)
Answer 2
Answer:

Answer:

C: (8,11)

Step-by-step explanation:

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Daren is 3 years older than Tom. 3 years ago Leah will be 14 less than 3 times Darren's age. 5 years ago, Leah was 2 years less than 2 times Tom. How old will Leah be 4 years from now?

Answers

answer

5

set up equations

daren is 3 years older than tom

D = 3 + T

3 years ago leah will be 14 less than 3 times darren's age

L - 3 = 3(D - 3) - 14

L - 3 = 3D - 9 - 14

L = 3D - 9 - 14 + 3

L = 3D - 20

5 years ago, leah was 2 years less than 2 times tom

L - 5 = 2(T - 5) - 2

L - 5 = 2T - 10 -2

L = 2T - 10 - 2 + 5

L = 2T - 7

find leah's current age

set L = 3D - 20 and L = 2T - 7 equal to each other

3D - 20 = 2T - 7

plug 3 + T into D using the equation D = 3 + T

3D - 20 = 2T - 7

3(3 + T) - 20 = 2T - 7

9 + 3T - 20 = 2T - 7

T = - 7 - 9 + 20

T = 4

plug T back into L = 2T - 7 to find leah's current age

L = 2T - 7

L = 2 * 4 - 7

L = 8 - 7

L = 1

leah's age 4 years from now

add 4 to leah's current age

1 + 4 = 5

$5 is what percent of $20

Answers

$5 is 25% of of $20.
Because we know that $10 is 50% of $20 ( 10 is a half of 20 ) and $5 is 1/4 of $20. 
We also that 1/4 is 25% so,
$5 is 25% 

43.586 rounded to the nearest tenth, hundreth and one is what?

Answers

Hundredth: 43.59
Tenth: 43.6
That would be....
43.6
43.59
44

I need this answered by 8:45 a.m. PDT time. Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time? Explain.

Answers

At 4:12 P.M.

because 18×4=72 and 24×3= 72 and this is the first number that they share.

Answer:

4:12 pm

Step-by-step explanation:

Which of the following are remote interior angles of​

Answers

Answer:

1 and 2

Step-by-step explanation:

14. Write the improper fraction as a mixed number in simplest form.65/ 8
A. 6 1/7
B. 8 1/8
C. 5 1/8
D. 9 2/7
NEXT QUESTION
15. 45/4
A. 11 1/4
B. 12 1/4
C. 10 1/4
D. 11
NEXT QUESTION
16. Write 4 and 5 eights as an improper fraction and as a mixed number
A. 37/8 , 5 4/8 B. 44/8 , 5 4/8 C. 37/8 , 4 5/8 D. 32/8 , 4 5/8

Answers

14.\n(65)/(8)=(64+1)/(8)=(64)/(8)+(1)/(8)=\boxed{8(1)/(8)}\to\boxed{\boxed{B}}\n\n15.\n(45)/(4)=(44+1)/(4)=(44)/(4)+(1)/(4)=\boxed{11(1)/(4)}\to\boxed{\boxed{A}}\n\n16.\n4+(5)/(8)=\boxed{4(5)/(8)}=(4\cdot8+5)/(8)=(32+5)/(8)=\boxed{(37)/(8)}\to\boxed{\boxed{C}}


65/8 would be 8 1/8 in its simplest form

45/4 would be 11 1/4

4 5/8 would be 37/8 as an improper fraction and 4 5/8 is how it would be written as a mixed number
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