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erica [24]
3 years ago
11

You work for a delivery service. With plan A, you can earn $5 per hour plus $0.75 per delivery. With plan B, you can earn $7 per

hour plus $0.25 per delivery. How many deliveries must you make per hour with plan A to earn as much as plan B?
Mathematics
1 answer:
vodomira [7]3 years ago
6 0

You must make 4 deliveries per hour with Plan A to earn as much as Plan B.

Step-by-step explanation:

Plan A;

Earning per hour = $5

Per delivery earning = $0.75

Let,

x be the number of deliveries.

A(x) = 5 + 0.75x

Plan B;

Earning per hour = $7

Per delivery earning = $0.25

B(x) = 7 + 0.25x

For earning as much as B.

A(x) = B(x)

5+0.75x=7+0.25x\\0.75x-0.25x=7-5\\0.5x=2

Multiplying both sides by 0.5

\frac{0.5x}{0.5}=\frac{2}{0.5}\\x=4

You must make 4 deliveries per hour with Plan A to earn as much as Plan B.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/11638377
  • brainly.com/question/11921476

#LearnwithBrainly

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Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti
barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

P(t)=36800\cdot2^{^\dfrac{t}{25}}

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0
3 years ago
Triangle ABC has sides with lengths of 11, 18, and 8 units. Determine whether this triangle is a right triangle.​
Arturiano [62]

Answer:

Not a right triangle.

Step-by-step explanation:

If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, a^2+b^2=c^2, so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal: 8^2+11^2=18^2. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that 64+121=324 according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.

3 0
3 years ago
WILL UPVOTE!!!
Ludmilka [50]
The question wants us to find 3 times the volume of the pool.
This is because we are told that the pool must be filled 3 times during the summer and asked how many cubic feet of water is required to fill the pool all summer.

Step 1: Find the volume of the pool.
Volume is calculated by multiplying length by width by height.
Pool length = 5 ft.
Pool width = 4 ft.
Pool height = 2 ft.
Pool volume = 5 • 4 • 2
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The volume of the pool is 40 cubic feet.

Step 2: Find 3 times the volume of the pool.
Volume = 40 ft.^3
3 times volume = 3 • 40 ft.^3
3 • 40 ft.^3 = 120 ft.^3
3 times the volume of the pool is 120 cubic feet.

Answer:
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Hope this helps!
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