MATHEMATICS HIGH SCHOOL

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.​

Answers

Answer 1
Answer:

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

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What is the perimeter of the triangle expressed as a polynomial? Length: 8x-2
Length: 5x-4
Width: 9x-3
If you could show me how you got the complete answer I would really appreciate it.

Answers

The perimeter is the sum of the lengths of the three sides of the triangle. If "width" is the length of the 3rd side, then the perimeter is
  P = (8x-2) + (5x-4) + (9x-3)
  P = 8x + 5x + 9x -2 -4 -3
  P = (8+5+9)x -(2+4+3)
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The minute hand of a clock is 9.5cm long. How far will the hand travel in one day, to the nearest meter

Answers

136.8 meter, or 137 meters

Work:

60 minutes x 24 hours =
1,440 minutes in a day

1,440 minutes x 9.5 cm =
13,680 centimeters

13,680 cm = 136.8 meters // 137

If you can exchange 104.51 US dollars for 1,322.14 Mexican pesos, what is the exchange rate of the US dollar to the Mexican peso, to three decimal places?

Answers

Given:
USD: 104.51
Mexican pesos: 1,322.14

1,322.14 / 104.51 = 12.65

1 US Dollar is equal to 12.65 Mexican Pesos

or 

104.51 / 1,322.14 = 0.079

1 Mexican peso is equal to 0.079 US Dollars.

What is x^2 + 3x - 10 =0

Answers

x^2 + 3x - 10 = 0 \n \n (x - 2)(x + 5) = 0 \n \n x = 2, -5 \n \n

The final result is: x = 2, -5.
(x - 5)(x + 2) = 0 

Set both factors equal to 0 
x - 5 = 0 
x + 2 = 0 

Solve for x and the answer is 
x = 5 
x = -2

What is the value of x?

Answers

Answer:

  x = 7 cm

Step-by-step explanation:

The two triangles are similar so ...

  x/(6 cm) = (42 cm)/(36 cm)

Multiplying by 6 cm, you get ...

  x = (6 cm)(42 cm)/(36 cm) = (6 cm)(7/6)

  x = 7 cm

Mrs. Post bought a carton of eggs containing 24 eggs to use for cookies. When she got home 3 were broken. What percent of the eggs were broken?

Answers

Answer:

12.5%

Step-by-step explanation:

Take the number of eggs that were broken over the total number of eggs

3/24

1/8

As a decimal

.125

Change to percent form

12.5%

Answer: 12.5%

Explanation:

3/24, or 1/8 of Mrs. Post’s eggs broke,

1/8 as a decimal is 0.125

0.125 as a percent is 12.5%
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