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2 years ago

What is the solution of the inequality shown below? c+3>8

Mathematics

1 answer:

Tatiana [17]2 years ago

4 0

Answer:

c > 5

Step-by-step explanation:

The properties of equality can be used to solve inequalities. Attention needs to be paid to ordering.

<h3>Application</h3>

We can subtract 3 from both sides to solve this.

c +3 > 8 . . . . . . given

c +3 -3 > 8 -3 . . . . subtract 3 from both sides

c > 5 . . . . . . . . . simplify

The solution is c > 5.

Additional comment

Adding or subtracting a value to a number on a number line is equivalent to shifting it right or left. It does not change ordering.

Multiplying or dividing by a positive number is equivalent to expanding or compressing the distance from zero. It does not change ordering.

Multiplying or dividing by a negative number reflects the value across the origin, in addition to expanding or compressing the distance from zero. This reflection reverses the left-right ordering. For example, -2 < -1, but 2 > 1. (Both numbers multiplied by -1.)

As long as you're aware of the effect on ordering, you can use any of the properties of equality to solve inequalities.

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Molly uses 9.5 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is

Vilka [71]

Answer:

2.375 pints

Step-by-step explanation:

Since 3/4 of the paint is blue, the remaining 1/4 of the paint is white. 1/4 of the total amount is ...

(1/4)(9.5 pints) = 2.375 pints . . . . of white paint

5 0

4 years ago

Please help me!

marusya05 [52]

Answer:

Step-by-step explanation:

Nice summary problem.

<AEC

AEC = 360 - 243.5 = 116.5
The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

< AEC = 116.5
<ABC = 1/2 * 116.5
<ABC = 58.25

<ADC

There are 2 ways of doing this. You should know both of them.

One

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

<ADC + 90 + 90 + 116.5 = 360 Add the four angles together.
<ADC + 296.5 = 360 Combine terms on the left
<ADC = 360 - 296.5 Subtract 238.25 from both sides
<ADC = 63.5 Answer

Method Two

<ADC = 1/2 (major Arc - Minor Arc) This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

<ADC = 1/2(243.5 - 116.5)
<ADC = 1/2(127)
<ADC = 63.5

8 0

3 years ago

Please i need help on my math

Kamila [148]

Answer:

$V = \pi (2.5)^2h$

Step-by-step explanation:

The formula for the volume of a cylinder, is V = π r^2 h. It shows that the diameter is 5. But we need the radius. The radius is half of the diameter. So, 5/2. This gets you 2.5.

The equation is now:

V = π(2.5)^2h

This is the answer.

$V = \pi (2.5)^2h$

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3 years ago

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Serggg [28]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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