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labwork [276]
3 years ago
6

Hello! Could you please answer these - I am having trouble and I have to take care of my grandma right now..

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

so looks like they want you to solve each of them first, then plot them on the number lines.

1) x+8 >= 18

subtract 8 from each side

x >= 10

so for this one you would plot the point (a closed circle, since it's greater than or equal to) on the ten, and draw an arrow pointing to the right

2) x-1 > 6

add 1 to each side

x > 7

for this one you would plot an open circle on the 7 and draw an arrow to the right

3) -7+x >= -8

add 7 to each side

x >= -1

for this one you would plot a closed circle on the -1 and draw an arrow to the right

4) x-1 <= 3

add 1 to each side

x <= 4

for this one you would plot a closed circle on the 4 and draw an arrow to the left

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Expand and simplify the expressions using properties of operations.<br><br> 6(7y−8)
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Answer:

42y-48

Step-by-step explanation:

6 x 7

6 x 8

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What is 2/3+485-47/34+578/2-3456+16?
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3 years ago
Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu
Lera25 [3.4K]

Answer:

A = 68.8 inches^{2}

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

 Triangular base area: 

A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }

 Where, s is the semi-meter of the triangle:

s =\frac{ (a + b + c) }{ 2}

 a, b, c: sides of the triangle.

 Substituting:

 s = (2 + 3 + 4) /2=4.5

A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}

 A1 = 2.90

 Then, you must know the area of each rectangle associated with each side of the triangular base.

 Rectangle area 1: Ar1 = (a) * (l)

                              Ar1 = (2) * (7)

                              Ar1 = 14

 Rectangular area 2:   Ar2 = (b) * (l)

                                    Ar2 = (3) * (7)

                                    Ar2 = 21

 Rectangular area 3:   Ar3 = (a) * (l)

                                    Ar3 = (4) * (7)

                                    Ar3 = 28

 Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

                                             A = (14) + (21) + (28) + 2 * (2.90)

                                            A = 68.8 inches^{2}

 Hence the surface area of the box of chocolates is 

A = 68.8 inches^{2}

6 0
3 years ago
A small television costs $150. if the sales tax is 6%, what is the total cost of the television?
Romashka-Z-Leto [24]

6% = 0.06

150 x 0.06 = 9.00 (tax)

150+9 = 159.00 total cost

3 0
4 years ago
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