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3 years ago

Evaluate. 5 • [(14 + 3 • 30) + 120] + 103 – 10

2 answers:

5 0

We will use the PEMDA method.
5 • [(14 + 3 • 30) + 120] + 103 – 10
 first, add what's in the parenthesis
5 • [(17 • 30) + 120] + 103 - 10
 now let's multiply what's in the parenthesis
5 • [(510) + 120] + 103 - 10
 continue to simplify what is in the parenthesis
5 • [630] + 103 - 10

now let's multiply
3150 + 103 - 10

no division? let's subtract!

3150 + 93

last step (:
3243 seems to be the answer

natali 33 [55]3 years ago

4 0

Simplify the expression.1213

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the exterior angle of a regular polygon is one third the size of its interior angle. how many sides does the polygon have

Aloiza [94]

Answer:

8 sides

Step-by-step explanation:

let x be the exterior angle then 3x is the interior angle

interior angle + exterior angle = 180° , then

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

the sum of the exterior angles of a polygon = 360°

since the polygon is regular with each exterior angle = 45°, then

number of sides = 360° ÷ 45° = 8

7 0

2 years ago

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

6 0

3 years ago

Describe the dimensions of two different prisms that each have a volume is 2,400 cubic centimeters

Phantasy [73]

One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.

V = l x w x h
V = 4 x 5 x 120
V = 2400

This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.

Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.

V = l x w x h
V= 8 x 10 x 30
V = 2400

This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.

3 0

3 years ago

What is the awnser to the problem b-9.5<7

OlgaM077 [116]

Answer:

b < 16.5

Step-by-step explanation:

b - 9.5 + 9.5 < 7 + 9.5

b < 16.5

hope this helped :D

5 0

3 years ago

Neeeeed help please

Nikolay [14]

A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.

3 0

4 years ago

Read 2 more answers