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Umnica [9.8K]
2 years ago
12

Make a number line and mark the points that represent the following values of x. 5x<12

Mathematics
1 answer:
Solnce55 [7]2 years ago
8 0

Answer:

x=2.5

Step-by-step explanation:

5x<12          1. /5 on both sides

x= 2.5    

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Solve the following system of equations by the substitution method.
Dahasolnce [82]

Answer:

Step-by-step explanation:

5x=y+6   --------- equ 1

2x-3y=4  -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute  in equ 1

5*14/13 = y+6  

70/13 - 6 = y

y =  ( 70 - 78)/13

y = -8/13

6 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
FrozenT [24]

Step-by-step explanation:

y — yı = m(x – xı) equation of a line

Points A(1,3) and B(2,1)

Slope (m) = (y2 – y1) / (x2 – x1)

(1 –3) / (2 – 1)

–2/1

–2

Thus, y –3 = –2 (x – 1)

y – 3 = –2x + 2

y –3 + 3 = –2x + 2 + 3

y = –2x + 5

5 0
3 years ago
Eli and Angela are saving money to buy their grandparents an anniversary gift. Eli has saved 8 more than 1/3 of Angela's savings
Trava [24]

Answer:

$10

Step-by-step explanation:

Let a = the amount Angela has saved.

Let e = the amount Eli has saved.

"Eli has saved $8 more than 1/3 of Angela's savings."

e = a/3 + 8

"If they each save $10 more." then

Eli will have: e + 10

Angela will have a + 10

"Eli will have saved $4 more than Angela's savings."

e + 10 = a + 10 + 4

This equation simplifies to: e = a + 4

We have a system of two equations in two variables.

e = a/3 + 8

e = a + 4

Since both equations are solved for e, we just equate the right sides.

a/3 + 8 = a + 4

Subtract a/3 from both sides. Subtract 4 from both sides.

a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4

4 = (2/3)a

Multiply both sides by 3/2

(3/2)4 = (3/2)(2/3)a

6 = a

a = 6

Angela has $6.

e = a + 4 = 6 + 4 = 10

Eli has $10.

4 0
3 years ago
Please help.
Mashcka [7]
V=(1/3)(area of the base)(<span>altitude)

V=</span><span>(1/3)(</span>6²)(6)= 72 m³
5 0
3 years ago
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**HELP ME ASAP! THANKS** What is the area of the triangle?
yarga [219]
54 because the formula for the area of triangle is 1/2bh so you just substitute the b and h for 18 and 6
5 0
3 years ago
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