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mestny [16]
3 years ago
7

(20 POINTS!!!!) Jack can paint an entire house in 3 hours. Jill can do the same job in 4 hours. What portion of the house can th

ey paint in 1 hour if they work together?
Mathematics
2 answers:
Charra [1.4K]3 years ago
6 0
7/12 portion of the house
Mariulka [41]3 years ago
5 0
Answer: 7/12 portion

Explanation:

Jack can paint:

1 house = 3hr
1/3 portion= 1hr

Jill can paint:

1 house = 4hr
1/4 portion = 1hr

Both of them together can paint in 1 hour:

1/3 + 1/4 = 3/12 + 4/12 = 7/12 portion in 1hr
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Radius: 12<br> diameter: 24 inches <br> circumference:<br> area:
Hatshy [7]
The formula for the area of a circle is \pi  r^{2}

To break it up, its π×r×r=A

The radius is 12inches

So the equation is 3.14×12×12

3.14×12=37.68

37.68×12=452.16

452.16 rounded is 452

A=452inches

8 0
3 years ago
A population of deer in an area is 2000 and is decreasing at a rate of 15% per year. At this rate what will the deer population
Pepsi [2]
2000 × 15% = 300
300 × 5 = 1500
2000 - 1500 = 500 population after 5 years
4 0
3 years ago
What is slope-intercept form of a line that passes through points (2,11) and (4,17)?​
kramer

Answer:

y = 3x + 5

Step-by-step explanation:

Okay, so first we do the equation for rise over run which is y2 - y1/ x2 - x1

so plug the numbers 11 - 17/ 4 - 2 getting the slope -3, now since we found the slope we need to find the intercept form, what you have to do now is plug in a coordinate from the x value and y value one of the pairs essentially so,

y = 3x + b, I chose your first pair

11 = 3 x 2 + b

equals to,

11 = 6 + b

now we want b, by itself.

5 = b

so the total intercept form answer is

y = 3x + 5

I will check over it,

11 = 3 x 2 + 5

11 = 11

I hope this helped!

6 0
3 years ago
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43

Therefore, the height is 3.43 centimeters, approximately.

6 0
3 years ago
A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after
zloy xaker [14]

<u>Answer:</u>

<h2><u>385,733</u></h2>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

7 0
3 years ago
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