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Snezhnost [94]
3 years ago
9

-5(x-5)=2(-4x+5) find x step by step please

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Answer: -5

Step-by-step explanation:

-5(x-5)=2(-4x+5)

-5x + 25 = -8x +10

3x +25 = 10 (add 8 from both sides)

3x = -15 (subtract 25 from both sides)

x = -5 (divide 3 from both sides)

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Find the area of the composite figure.
Bad White [126]

Answer:

Area = 139.27 m²

Step-by-step explanation:

Area of the composite figure = area of rectangle + area of semicircle

= (L*W) + ½(πr²)

L = 10 m

W = 10 m

r = ½ of 10 = 5 m

Plug in the values

Area = (10*10) + ½(π*5²)

Area = 100 + 39.27

Area = 139.27 m²

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3 years ago
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Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per
AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by <em>x mi</em>, and that of Erin is given by <em>y mi</em>.

Step 2: To derive the distance covered by Erin and Greg, we use the formula <em>Speed = distance ÷ time.</em>

Which by cross-multiplying gives <em>distance = speed × time</em>.

Let time taken to cover the distance be <em>t h</em>.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for <em>time t.</em>

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

      t² = 225/(49 + 81)

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      t² = 1.730769231

       t = √1.730769231

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t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0
3 years ago
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Step-by-step explanation:

None of these,

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it takes noam 1 1/2 hours to walk to her friends house 2 1/4 miles away. what is her walking pace in miles per hour?
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Answer: 2/3 miles per hour

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3 years ago
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