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Tresset [83]
3 years ago
11

Bernardo drives to work at an average speed of 50 miles per hour and returns along the same route at an average speed of 25 mile

s per hour. If his total travel time is 3 hours, what is the total number of miles in the round-trip?
Mathematics
1 answer:
-BARSIC- [3]3 years ago
6 0
Bernardo travels the same distance at 25mph as he does at 50mph. However, since 25mph is only half of 50 mph, he must travel twice as long at 25mph. If you call the time he traveled 50mph "t", then 

<span>t+2t=3 </span>
<span>3t=3 </span>
<span>t=1 </span>

<span>This means he traveled 1 hour at 50mph. In this time, he traveled 50 miles. He traveled the same distance at 25mph, so his total distance was </span>

<span>50miles+50miles=100miles </span>

<span>so the round trip was 100 miles.</span>
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Converting y-2=-3(x-4)
vitfil [10]
Get this equation into y=mx+b form.
y-2=-3(x-4)
y-2=-3x+12
y=-3x+12+2
y=-3x+14
Hope this helps!
And just a note, this is provided in point-slope formula, meaning there is a point on the line, (4,2), based on the initial equation.
5 0
3 years ago
Ali, Carrie and Bryan received a sum of money. Bryan's money was 3/5 as much as Ali's money. The ratio of Ali's money to Carrie'
monitta

Answer:

The sum of money received by Ali, Carrie and Bryan is $ 740.

Step-by-step explanation:

At first we translate mathematically each sentence:

(i) <em>Ali, Carrie and Bryan received a sum of money. </em>

a - Ali's money.

b - Bryan's money.

c - Carrie's money.

(ii) <em>Bryan's money was </em>\frac{3}{5}<em> of  Ali's money</em>.

b = \frac{3}{5}\cdot a (1)

(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.

\frac{a}{c} = 4 (2)

(iv) <em>Ali had $ 160 more than Bryan</em>.

a = b + 160 (3)

After some algebraic handling, we have the following system of linear equations:

3\cdot a - 5 \cdot b = 0 (1b)

a - 4\cdot c = 0 (2b)

a - b = 160 (3b)

The solution of the system is: a = 400, b = 240, c = 100

The sum of money is:

s = a + b + c

s = 740

The sum of money received by Ali, Carrie and Bryan is $ 740.

4 0
3 years ago
Please help me IDK how to do this!!!!!!
tatiyna
A parallelogram should have 2 sets of parallel lines. Let's find the slope of line PQ and RS to test.

PQ:
(4-2)/(1-(-3))
2/4
1/2

RS:
(2-0)/(3-1)
2/2
1

Because 1 does not equal 1/2 (the slopes are different) the lines are not parallel. Thus, the figure is not a parallelogram.
5 0
3 years ago
WHO RUNS THE FASTEST? HELP
Vlada [557]

Answer:

Jessica runs the fastest

Step-by-step explanation:

If you divide all of the lengths they ran by the time it took them to run in seconds, you find how much feet they run each second and Jessica ran the most feet in the least amount of time which means she runs the fastest.

7 0
4 years ago
Read 2 more answers
Round 3,989.23655 to the nearest thousandth
inysia [295]
3,989.237
A thousandth = 1/1000 = 0.001
Round 4th decimal place = 5
5 and over is rounding up and under 5 rounds down so it would be 3,989.237
6 0
4 years ago
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