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Leno4ka [110]
3 years ago
8

A forest covers 43,000 acres. A survey finds that 0.7​% of the forest is​ old-growth trees. How many acres of​ old-growth trees

are​ there?
Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

301 acres

Step-by-step explanation:

43,000 acres of forest

0.7% is old-growth

0.7% = 0.007

43,000 * 0.007 = 301 acres

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Kaira's gross pay is $4,633. Her deductions total $1,009.13. What percent of hergross pay is take-home pay?Round to the nearest
Delvig [45]

Answer:

\text{ 78\%}

Explanation:

Here, we want to get the percentage of the gross pay is the take-home pay

Mathematically, we have to divide the take-home pay by the gross pay and multiply it by 100%

Her take-home pay is the difference between her gross pay and her deductions

We have this as:

\text{ 4633 - 1009.13 = \$3,623.87}

We have this as:

\frac{3623.87}{4633}\text{ }\times\text{ 100 \% = 78\%}

7 0
1 year ago
In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

A=17\ cm^2

AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

34=3x^2+9x-2x-6

3x^2+7x-6-34=0

3x^2+7x-40=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

substitute in the formula

x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

x=\frac{-7(+/-)\sqrt{529}} {6}

x=\frac{-7(+/-)23} {6}

x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}

x=\frac{-7(-)23} {6}=-5

therefore

The solution is

x=\frac{8}{3}\ cm

6 0
2 years ago
jayden had some money in his pocket.Then a friend loaned him $1.35.Now jayden has $3.75 in his pocket.
Rina8888 [55]

Answer:

If you were wondering how much he had to begin with, it would be $5.10.

Step-by-step explanation:

Hopefully this helps you :3

5 0
2 years ago
Find the equation of the line passing through the points (15,-25) and (-12,11). Write your answer in the form of y=mx+b
schepotkina [342]
(15,-25)(-12,11)
slope = (11 - (-25) / (-12 - 15) = - 36 / 27 which reduces to - 4/3

y = mx + b
slope(m) = -4/3
use either of ur points (15,-25)...x = 15 and y = -25
now we sub and find b, the y int
-25 = -4/3(15) + b
-25 = - 20 + b
-25 + 20 = b
-5 = b

so ur equation is : y = -4/3x - 5 <==
3 0
3 years ago
Elizabeth hopes to get at least a 90 average on her science tests. She has one more test before the end of the school year. Her
RSB [31]
I don tknow jgithugtetihgerrrrrrg
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6 0
3 years ago
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