What is the solution to -3x+23-7? O x>-12 O x>12 O x<12 O x<-12

Mathematics

1 answer:

netineya [11]2 years ago

6 0

It’s the second one x>_12 because it’s a closed circle on the number line and it’s going right

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Dominik [7]

Answer:

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Step-by-step explanation:

3 0

2 years ago

Each one of four pies were cut into 8 pieces for dinner. After dinner there remained 1/2 of a pie, o pie, 3/8 of a pie and 5/$of

Marizza181 [45]

Answer: What you would have left is 12 pieces of pie

Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.

Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).

So, each of the three pies now have the following left overs;

1/2, 3/8 and 5/8.

Adding them all together would give,

1/2 + 3/8 + 5/8

Using 8 as the common denominator

4/8 + 3/8 + 5/8

(4 + 3 + 5)/8

12/8.

Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.

8 0

2 years ago

Instructions

PilotLPTM [1.2K]

I chose a box of cereal-------> rectangular prism
see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm

Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm

Part 3)
What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is
2,112 cm²

Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?

we know that
surface area of the larger box=[scale factor]²*surface area original box

scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is
211,200 cm²

Part 5)
What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is
5,120 cm³

Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10

we know that
volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is
5.12 cm³