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Tasya [4]
3 years ago
10

The current in a stream moves at a speed of 8mph. A boat travels 11mi upstream and 11 mi downstream in a total time of 13hr. Wha

t is the speed of the boat in still water?
Mathematics
1 answer:
Roman55 [17]3 years ago
6 0
It would be 8mph because the boat would be carried by the current in still water.
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To convert a distance of 2200 yards to miles, which ratio could you multiply by? Remember that 1 mile=1760yards
Mnenie [13.5K]
Multiply both sides by 2200/1760 * 2200/1760 and you get 1.25
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Compare the rates to find which is the best value.
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Answer:

6 greeting cards for 23.40

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Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste
Andrews [41]

Answer:

Mai was moving faster.

As, she covered a greater distance in the same amount of time.

Step-by-step explanation:

Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.

Calculate the speed of both;

Speed defined as the rate at which an object covers distance.

Speed = \frac{Distance}{Time}

Mai traveled 15 meters in 6 seconds

then;

Speed = \frac{15}{6} = 2.5 m/s

Priya travels 22 meters in 10 second.

then;

Speed = \frac{22}{10} = 2.2 m/s

Reason: Mai traveled faster because she covered a greater distance in the same amount of time.

7 0
3 years ago
The graph 4x^2-4x-1 is shown. Use the grpah to find the estimates for the solutions of 4x^2-4x-1=0 and 4x^2 - 4x-1=2
Darina [25.2K]

Answer:

a) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 0 are x_{1}\approx -0.25 and x_{2} \approx 1.25.

b) The estimates for the solutions of 4\cdot x^{2}-4\cdot x -1 = 2 are x_{1}\approx -0.5 and x_{2} \approx 1.5

Step-by-step explanation:

From image we get a graphical representation of the second-order polynomial y = 4\cdot x^{2}-4\cdot x -1, where x is related to the horizontal axis of the Cartesian plane, whereas y is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:

a) 4\cdot x^{2}-4\cdot x -1 = 0

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.25, x_{2} \approx 1.25

b) 4\cdot x^{2}-4\cdot x -1 = 2

There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:

x_{1}\approx -0.5, x_{2} \approx 1.5

5 0
3 years ago
The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,
Tems11 [23]

For this case we have the following quadratic functions:

Revenue: 3x ^ 2 + 4x - 60

Cost: 3x ^ 2 - x + 200

Then, we observe that the profit is given by the following mathematical relationship:

Profit = Revenue - Cost

Substituting values we have:

Profit = (3x ^ 2 + 4x - 60) - (3x ^ 2 - x + 200)

Making the corresponding calculations we have:

Profit = x ^ 2 (3-3) + x (4 + 1) + (-60-200)\\Profit = 5x - 260

Answer:

An expression that represents the profit is:

Profit = 5x - 260

4 0
3 years ago
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