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3 years ago

Which number line represents the solution to the inequality x - 3 > 2

Mathematics

1 answer:

Ivahew [28]3 years ago

6 0

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

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Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race

icang [17]

Answer:

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4 years ago

2p + 3 = 5 - 6p what is the value of p in the equation?

Marizza181 [45]

Answer:

p=1/4

Step-by-step explanation:

original: 2p+3=5-6p

move variable to one side: 2p+6p=5-3

combine like terms: 8p=2

answer :p=2/8

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7 0

3 years ago

Read 2 more answers

Please help with this question (with explanation) thanks!

skad [1K]

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7 0

2 years ago

What is the length of the missing side? What is the area of the figure? Show ALL work.

guajiro [1.7K]

Answer:

Missing side=25 units.

Area of the figure= 470 sq units.

Step-by-step explanation:

The figure is made up of a rectangle and a triangle.

To get the base of the triangle, we find the difference between the two parallel sides, that is, 16ft and 31 ft.

31ft-16ft=15ft

The height of the triangle is 20 since it is parallel and equal to the length of the rectangle.

We therefore use pythagoras theorem to find ?

a²+b²=c²

15²+20²=c²

625=c²

c=25

ii. The figure is a trapezium therefore we use the following formula to find the area.

A= 1/2(a+b)h, where a and b are the two parallel sides. and h the distance between them.

=(1/2)(31+16)×20

=470 sq units

8 0

4 years ago

A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below

nirvana33 [79]

The missing figure is attached

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

To find the cost per square units find the lateral area (they will made the walls only) of the rectangular prism and divide the cost of the steel sheet by it

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

∵ The length of the base is 9 m

∵ The width of the base is 5 m

∵ The height of the prism is 7 m

- Find the perimeter of the base

∵ Perimeter of base = 2(length + width)

- Substitute the values of the length and the width

∴ Perimeter of base = 2(9 + 5) = 28 m

Now use the formula of the lateral area to get it

∵ LA = 28 × 7

∴ LA = 196 m²

Let us find the cost per square meter

∵ The total cost of the sheet steel was $4392

∵ The lateral area of the container is 196 m²

- Divide the cost by the lateral area

∴ The unit cost = 4392 ÷ 196

∴ The unit cost = 22.41 dollars to the nearest cent

The sheet steel costed $22.41 per square meter

4 0

3 years ago