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Paul [167]
3 years ago
5

A forest covers 37 comma 000 acres. A survey finds that 0.2​% of the forest is​ old-growth trees. How many acres of​ old-growth

trees are​ there?
Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0

74 acres of old-growth are there in the forest

Step-by-step explanation:

To answer the question, we need to calculate the 0.2% of 37,000.We can calculate this stating that exists a linear relationship between the percentage and the number of acres. We also need to state that 37,000 acres are the 100% of the acres.

=\frac{0.2}{100} \times 37000\\ =0.002 \times 37000\\=74

We find that if 37,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 74 acres (in which there are old-growth trees).

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16. An employee has to pay 15.5% in taxes. If
lilavasa [31]

Answer:

379.75

Step-by-step explanation:

15.5 x 2450

100

= 379.75

7 0
3 years ago
Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the
Alenkinab [10]

The number of half-hour sittings needed to watch all the shows by Devon is 11

<u>Solution:</u>

Given, Devon records 4 hours of reality shows on her DVR  

she records comedy shows for 3/8 of that amount of time.  

\rightarrow \frac{3}{8} \text { of } 4 \text { hours } \rightarrow \frac{3}{8} \times 4 \rightarrow \frac{3}{2} \text { hours }

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}

\begin{array}{l}{=\frac{4 \text { hours for reality shows }+\frac{3}{2} \text { hours for comedy shows }}{\frac{1}{2} \text { hours for each sitting }}} \\\\ {=\frac{4+\frac{3}{2}}{\frac{1}{2}}=\frac{\frac{8+3}{2}}{\frac{1}{2}}=\frac{\frac{11}{2}}{\frac{1}{2}}=\frac{11}{2} \times \frac{2}{1}=11}\end{array}

Hence Devon needs 11 sittings

3 0
3 years ago
Find the value of x.
koban [17]

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

8 0
3 years ago
Find the total surface area of this triangular prism 13cm 5cm 12cm 9cm 15cm 20cm
labwork [276]

Answer:

924 cm²

Step-by-step explanation:

The surface area is equal to the area of the two triangles + area of the three rectangles.

Area of two triangles:

12 × (9+5) × 1/2

= 84

84(2) = 168

Area of the three rectangles:

15 × 20 + 13 × 20 + 14 × 20

= 840

840 + 84

The surface area of the triangular prism is 924 cm².

6 0
3 years ago
The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
algol13

Answer:

1

Step-by-step explanation:

There are a total of 16+25 = 41 students that own hamsters.

There are a total of 16+24 = 40 students that own dogs.

This is a difference of 41-40 = 1.

6 0
3 years ago
Read 2 more answers
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