1. X + 250 = 700

Mathematics

1 answer:

deff fn [24]3 years ago

4 0

Answer:

1. 450

2. 8(12)+3(2.50)

3. 10

4. 32

Step-by-step explanation:

1. 700-250=450

2. 8 people going to the theater. If tickets cost $12 each, you multiply 8 by 12 to get the ticket cost. If 3 people ordered drinks and drinks cost $2.50, you multiply 3 by 2.50 to get the drink cost. Since this is asking for the total cost you add your first 2 answers to get the final cost.

3. 12/3=4, which means one pound costs $4. To find the amount bought with $40, divide 40 by 4, which equals 10 pounds.

4. To find percents, you turn your percentage into a decimal by dividing by 100. (400/100=4), then you multiply that by the number you are trying to find a percentage of(8x4=32). This gives you the answer 32.

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dybincka [34]

G(x) = 20(1.5)^x
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f(x) = 15(2)^x

So does f(x) have a faster rate of change than g(x) on the interval (-5,-3). I used the rate of change formula, and saw that it does NOT.

f(x) and g(x) are always positive, so the second one is not true.

f(x) and g(x) are always increasing, so the third one is TRUE.

g(x) intercept is 20 and f(x) intercept is 15, so the fourth one is TRUE.

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3 years ago

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Ivenika [448]

Answer:

D. 18.18

Step-by-step explanation:

Based on the information given we would set up the ratio

$\frac{27.5}{25} = \frac{20}{x}$ We then cross multiply to get 20x25=27.5x

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3 years ago

The polygon in the diagram is a regular octagon with center A. Find the area of the octagon to the nearest tenth of a foot. A) 2

IRISSAK [1]

Method 1: In order to find out the area of an octagon with a radius of 4 feet, we have to split the whole figure into 8 equal isosceles triangles.
Therefore,
We will find out the area of one triangle and multiply the area with 8 to, figure out the area of the whole octagon there are 8 similar triangles and all of them will have the same area.

Method 2: From method 1, it would take time as there are too much of calculation, therefore we would go for the shortcut using the formula:

Area = 2√2 × r²

where r<span> is the radius of the octagon.
Substituting the values,
We get:
</span>Area = 2√2 × 4²
Area = 2√2 × 16
Area = 2× 1.41 × 16
Area = 2.828 × 16
Area = 45.25

Rounded to the nearest tenth:

Area = 45.3 ft²