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Fofino [41]
3 years ago
9

Graph the three parts of inequality 1 < x + 3 < 9

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0
First part:  1 is less than the sum of x and 3:  1 < x+3.
Second part:  the sum of x and 3 is less than 9.
Obviously 1 < 9.

Taking another look at 1<x+3, we can solve for x:  -2<x.  Draw a dashed vertical line thru x = -2.
Taking another look at x+3<9, subtract 3 from both sides.  Then x<6.
Draw a dashed vertical line thru x=6.

Shade the area between these two vertical lines to obtain the desired graph.
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Jesus bought 5/6 pounds of peanuts. He ate 3/4 pound of the peanuts with his friends. how much does Jesus have left?
Bad White [126]

Answer:

Step-by-step explanation:

Total peanuts = 5/6pounds

They ate = 3/4 of the peanut

= 3/4 × 5/6 = 5/8pounds

They eat 5/8 pounds

Amount left = 5/6 - 5/8

= (20 - 15)/24

= 5/24pounds

Jesus had 5/24 pounds of peanuts left

5 0
2 years ago
What steps should be taken to calculate the volume of the right triangular prism? Select three options.
Mariana [72]

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = \frac{1}{2}(\text{Base})(\text{height})

                                                      = \frac{1}{2}(8)(14)

                                                      = 56 m²                                                    

                   Volume of the prism = (56)(7)

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

5 0
3 years ago
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How to tell if a 15 year old boy likes me quiz for 13 year olds?
EleoNora [17]
Http://www.allthetests.com/quiz30/quiz/1379266484/Does-He-Like-you-Back-10-13-year-olds-ONLY
3 0
3 years ago
Write the correct letter in the blank line next to the fraction
MrMuchimi

Answer:

7/8 = f

1/4 = a

5/8 = d

3/4 = e

1/8 = a

Step-by-step explanation:

4 0
3 years ago
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If an airplane passes directly over your head at an altitude of 12 kilometers, how far is the airplane from your position after
rewona [7]

Answer:

20 km

Step-by-step explanation:

We will imagine a triangle. The hypotenuse of the triangle is the distance between you and the plane. 16 kilometres is the aerial space between you two, in other words its the base of the triangle. 12 km is the length of the third leg of the triangle. We will apply the pythagorean theorem to find the length of the hypotenuse and the distance between you and the plane.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root of 400 is c which equals 20 km.

8 0
2 years ago
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