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Romashka [77]
3 years ago
10

Which graph shows the solution to the following inequality. -5c+2<27

Mathematics
2 answers:
dlinn [17]3 years ago
5 0

Answer:

c > -5

Step-by-step explanation:

-5c+2<27

-5c < 25

Switch sides

-25 < 5c

-5 < c

c > -5

nordsb [41]3 years ago
3 0

Step-by-step explanation:

<u>Step 1:  Subtract 2 from both sides</u>

-5c + 2 - 2 < 27 -2

-5x < 25

<u>Step 2:  Divide both sides by -5</u>

-5x / -5 < 25 / -5

x > -5

Answer:  x > -5

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Answer:

2x4y=2... hope this helps.

8 0
3 years ago
If x+y=5,x-y=4,find the value of x²-y²​
inysia [295]

Answer:

20

Step-by-step explanation:

→ First find the value of x and y

x + y = 5

x - y = 4

→ Add the equations to cancel out the y's

2x = 9

→ Divide both sides by 2 to find the value of x

x = 4.5

→ Substitute x = 4.5 back into x - y = 4 to find the value of y

4.5 - y = 4

→ Minus 4.5 from both sides to isolate -y

-y = -0.5

→ Multiply everything by -1

y = 0.5

→ Substitute x = 4.5 and y = 0.5 into x² - y²

4.5² - 0.5² = 20.25 - 0.25 = 20

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3 years ago
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The school orchestra has 25 woodwinds, 20 percussionists, 15 strings and 40 brass instruments.
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Step-by-step explanation:

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The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the
maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that a = 0.95, b = 1.05

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

P(X > x) = 0.9

So

\frac{1.05 - x}{1.05 - 0.95} = 0.9

1.05 - x = 0.9*0.1

x = 1.05 - 0.9*0.1

x = 0.96

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0
3 years ago
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