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Juli2301 [7.4K]
2 years ago
15

Angelo bought apples and bananas at the fruit salad. He bought 20 pieces of fruit and spent $11.50. Apples cost $0.50 and banana

s cost $0.75 each. Write a system of equations to model the problem. (Hint: One equation will represent the number of pieces of fruit. A second equation will represent the money spent on the fruit.)

Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0

Since y=6, we can plug it in the second equation so it would be x+6=20 which means x=14, you can comment if anything confuses you

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A pharmacist whose salary became $640 a week had
irinina [24]
640 x 0.30= 192

640-192= 448

448 is the answer
4 0
3 years ago
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Which sampling method is generally considered the weakest?
babunello [35]
Answer – C. (Convenience sampling)

The sampling method that is generally considered the weakest is convenience sampling. This is because in convenience sampling, there is usually no inclusion criteria identified prior to the selection of subjects. Convenience sampling involves getting participants wherever you can conveniently find them. Typically, the first available participants (or any other primary data source, as the case may be) will be used for the research without any additional requirements.Other names by which convenience sampling is known are: Incidental Sampling, Chunk Sampling, and Accidental Sampling.
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3 years ago
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A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

8 0
3 years ago
Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat
Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

T=60+40e^{kt}

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

T=60+40e^{kt}

at T = 90°C and  t = 3 minutes

90=60+40e^{k(3)}

30=40e^{3k}

or

e^{3k}=\frac{3}{4}

taking the natural log both sides, we get

3k = \ln(\frac{3}{4})

or

3k = -0.2876

or

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

65=60+40e^{( -0.09589)t}

or

5=40e^{( -0.09589)t}

or

e^{( -0.09589)t}=\frac{5}{40}

or

e^{( -0.09589)t}=0.125

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

or

( -0.09589)t = -2.0794

or

t = 21.68 minutes ≈ 21.7 minutes

6 0
3 years ago
In January, you deposit $150 into your checking account. Every month after that, you deposit 10% more than you did the month bef
Reptile [31]
This is a geometric sequence of the form:

a(n)=ar^(n-1) in this case a=150, r=1.1

a(n)=150(1.1)^(n-1)   August is the eighth month so 

a(8)=150(1.1)^7

a(8)=292.307565

So you deposited $292.31 (to the nearest cent) in August.
5 0
2 years ago
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