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evablogger [386]
2 years ago
8

2(x-2) - 4(x-8) = 6(x+4)

Mathematics
1 answer:
Feliz [49]2 years ago
7 0

Answer:

Step-by-step explanation:

2(x-2)-4(x-8)=6(x+4)

2x-4-4x+32=6x+24

2x-4x-6x=4-32+24

-8x/-8=-4/-8

X=½

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The sum of the angle measures of a triangle is 180°. Find the value of x. Then find the angle measures of the triangle.
MAXImum [283]

Answer:

  • x = 43
  • 43°, 51°, 86°

Step-by-step explanation:

The sum of the angles is ...

  x° + (x +8)° + 2x° = 180°

  4x +8 = 180 . . . . . . . . . . . collect terms, divide by °

  x +2 = 45 . . . . . . . . . . divide by 4

  x = 43 . . . . . . . . . . subtract 2

  x +8 = 51

  2x = 86

The angles are 43°, 51°, 86°.

7 0
2 years ago
Solve for Y to get the equation into slope-intercept form and then state the slope and state the slope and state the y-intercept
valentinak56 [21]
-8-4y=-5x
-4y=-5x+8
y=5/4x+2

slope= 5/4
y-intercept=(0,2)
4 0
3 years ago
Read 2 more answers
I need help with this.
luda_lava [24]

Answer:

12 mm

Step-by-step explanation:

Use Pyth Theor

9^2 + b^2 = 15^2

81 + b^2 = 225

b^2 = 144

sqrt 144 = 12

b = 12

5 0
2 years ago
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Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly. Find the errors in her solution. What should her answer have been?
Irina-Kira [14]

Answer: The correr solution is x=\frac{17}{34}

Step-by-step explanation:

Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

8(x-3)+7=2x(4-17)

Firstly, in the left part of the equation we have to multiply 8 by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

8x-24+7=2x(-13)

Adding similar terms in the left side and multiplying 2x by the number inside the parenthesis in the right side:

8x-17=-26 x

Isolating x:

x=\frac{17}{34} This is the correct solution

4 0
3 years ago
A paint manufacturer uses a machine to fill gallon cans with paint​ (1 galequals128 ​ounces). The manufacturer wants to estimate
kvasek [131]

Answer:

a) To determine the minimum sample size we need to use the formula shown in the picture 1.

E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.

E = 0.5/2 = 0.25

Now we apply the formula

n = (1.645*0.80/0.25)^2 = 27.7 = 28

The minimum sample size would be 28.

b) To answer the question we are going to make a 90% confidence interval. The formula is:

(μ - E, μ + E)

μ is the mean which is 127. The formula for E is shown in the picture.

E = 0.80*1.645/√8 = 0.47

(126.5, 127.5)

This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.

7 0
3 years ago
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