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jarptica [38.1K]
3 years ago
8

Isaiah earns $60 per week mowing lawns in the summer and shoveling driveways in the winter. He invested $220 in equipment. How l

ong will it take him to earn $860? Find the equation and solve.
Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

18 weeks

Step-by-step explanation:

Create an equation where x is the number of weeks he works

60x - 220 will represent his profit, since he gets $60 a week but spent $220 in equipment.

Set this equal to 860, then solve for x, to find when he will earn $860

60x - 220 = 860

60x = 1080

x = 18

So, it will take him 18 weeks to earn $860

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The table shows the dimensions of four wedges.
Vera_Pavlovna [14]

Answer:

<h2>Wedge Z requires the least amount of force to do a job.</h2>

Step-by-step explanation:

In physics, Work is defined as the energy needed to move certaing object through a certain distance. Specifically, the work done is directly proportional to the force exerted and the distance.

It's important to know that a change of point is needed to have actually work done, physically speaking. This means if the object doesn't move, then there's no work done.

Mathematically, the work is defined

W= F \times d

Isolating the force

F=\frac{W}{d}

So, notice that the distance is inversely proportional to the force needed, which means the less distance, more force we need.

Now, the problem is giving wides and slopes, which we can use to find heights. And we know already that the less distance we have, the greater force we need, or the most distance, the least force.

Let's find which wedge has the greatest vertical distance.

m=\frac{y}{x}

<h3>Wedge 1.</h3>

5=\frac{y}{2} \implies y=10

<h3>Wedge 2.</h3>

8=\frac{y}{4} \implies y=32

<h3>Wedge 3.</h3>

9=\frac{y}{3} \implies y=27

<h3>Wedge 4.</h3>

10=\frac{y}{5}\\ y=50

Notice that the last wedge has greater vertical distance, that means Wedge Z requires least amount of force to do a job.

8 0
2 years ago
Read 2 more answers
A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. W
Ad libitum [116K]
22,000 to 19,000

22,000 - 19,000 / 22,000 x 100
3,000/22,000 x 100
0.136363636363636 x 100

13.63636363636364%
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8 0
3 years ago
Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three
Colt1911 [192]

Answer: 2.87 hours

Step-by-step explanation:

There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.

In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.

Day 1 distance travelled = Time * Speed

= 5.5 * 66

= 363 miles

Day 2 distance travelled = Time * Speed

= 5.5 * 58

= 319 miles

Total distance remaining

:= 840 - 363 - 319

= 158 miles

Travelling at 55 miles per hour, the time to be taken is:

= Distance remaining / Speed

= 158 / 55

= 2.87 miles per hour

8 0
2 years ago
Plz help with this I don’t know what to do
kozerog [31]

Answer:

Just guessing here but would the bottom be 4,8,12,16,20 maybe since it is going by 4 then you do the same for the top since it is going by 3

Step-by-step explanation:

3 0
3 years ago
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Which expression is irrational?
Nadya [2.5K]
The answer is D. Because the sq. rt. of 1 is 1, the sq. rt. of 9 is 3, and the sq. rt. of 25 is 5. When you take the sq. rt. of 50 you get 7.071067.
6 0
3 years ago
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