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Assoli18 [71]
3 years ago
5

Select the correct answer from the drop-down menu.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

The answer to your question is y = 4 - 1.5x

Step-by-step explanation:

Data

River's speed = 2 mi/h

David's speed = 6 mi/h

Rate of change = 1.5 mi/h

From the data given, we can conclude that the rate of the boat will be the difference between David's speed and the speed of the boat = 4mi/h.

The slope must be negative because it decreases.

The only equation that satisfies both conditions is the second option.

You might be interested in
What is the value of 4+ y if y = 18?
spin [16.1K]

Answer:

22

Step-by-step explanation:

4+18 = 22

5 0
3 years ago
Read 2 more answers
Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

3 0
3 years ago
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x- 8). What
Sladkaya [172]

Hi! I'm happy to help!

Point slope form states that y-y_{1}=m(x-x_{1}). m represents your slope (rise/run) and y_{1} and x_{1} represent your first y and x points, and y and x represent your second y and x points. We already have our equation here:

y - 4 = 1/4(x- 8)

Now, let's dive into what slope-intercept form is. Slope intercept form states that y=mx+b. m represents our slope, b represents our y intercept, y represents a y point, and x represents the corresponding x point.

Since we know our m, we can solve for b, by using our other numbers. Let's use our first set of coordinates.

4=1/4(8)+b

4=2+b

2=b

Now our second set to double check:

2=1/4(0)+b

2=0+b

2=b

We know that b must equal 2, so our equation must be y=1/4x+2, which is  option 3.

<u>You should pick option 3.</u>

<u>(y-intercept is where the line hits the y-axis(when x=0). We could've used our second coordinates (0,2), where x equals 0 to know that 2 is the y-intercept (b). This shortcut only works on specific problems though.)</u>

I hope this was helpful, keep learning! :D

8 0
3 years ago
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d
andriy [413]

Answer:

Evan is not correct, because it seems like he thought 25 is 125% of 20. He did not spend 125% more time doing homework this week because it was like he added an extra 100% from his 25 hours of homework he did. Because of this 100% increase, the correct answer is actually 25%.

Step-by-step explanation:

THE CORRECT ANSWER IS 25%

8 0
4 years ago
Sixty-three is 70% of what number?
kap26 [50]
I hope this helps you



?=63.70/100


?=441/10


?=44,1
6 0
3 years ago
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