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sergey [27]
3 years ago
10

Xp+yp=z solve for the variable p

Mathematics
1 answer:
anastassius [24]3 years ago
3 0
Use the distributive property backwards.
xp+yp=z become p(x+y)=x, which solves to p=x/(x+y)
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Dennis went cross country skiing for 6 hours on Saturday. He skied 20 miles uphill and then 20 miles downhill, returning to his
yulyashka [42]

Answer: Downhill:10mph   Uphill:5mph

Step-by-step explanation:  

We are looking for Dennis’s downhill speed.

Let  

r=

 Dennis’s downhill speed.

His uphill speed is  

5

miles per hour slower.

Let  

r−5=

Dennis’s uphill speed.

Enter the rates into the chart. The distance is the same in both directions,  

20

miles.

Since  

D=rt

, we solve for  

t

and get  

t=

D

r

.

We divide the distance by the rate in each row and place the expression in the time column.

Rate

×

Time

=

Distance

Downhill

r

20

r

20

Uphill

r−5

20

r−5

20

 

Write a word sentence about the time.

The total time traveled was  

6

hours.

Translate the sentence to get the equation.

20

r

+

20

r−5

=6

Solve.

20(r−5)+20(r)

40r−100

0

0

0

=

=

=

=

=

6(r)(r−5)

6

r

2

−30r

6

r

2

−70r+100

2(3

r

2

−35r+50)

2(3r−5)(r−10)

Use the Zero Product Property.

(r−10)=0

r=10

(3r−5)=0

r=

5

3

The solution  

5

3

is unreasonable because  

5

3

−5=−

10

3

and his uphill speed cannot be negative. So, Dennis's downhill speed is  

10

mph and his uphill speed is  

10−5=5

mph.

Check. Is  

10

mph a reasonable speed for biking downhill? Yes.

Downhill:

10 mph

5 mph⋅

20 miles

5 mph

=20 miles

Uphill:

10−5=5 mph

(10−5) mph⋅

20 miles

10−5 mph

=20 miles

The total time traveled was  

6

hours.

Dennis’ downhill speed was  

10

mph and his uphill speed was  

5

mph.

3 0
3 years ago
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his st
Ghella [55]

Answer:

Step-by-step explanation:

Final Answer: 19.5%

4 0
2 years ago
Name: 1. Label the axes. 2. Graph: A(-3, 0) B(-2, 4) C(1, -1) Draw AABC in blue. 3. Rotate AABC 90° clockwise to create AA'B'C'
nikklg [1K]

Answer:

its B because

Step-by-step explanation:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

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2 years ago
Authority is a mixture of conviction and _____. intelligence hardheadedness acuteness business skills
gavmur [86]
Intelligence is the answer

6 0
3 years ago
Read 2 more answers
What is 2/3 of 9000?
nikklg [1K]

Step-by-step explanation:

6000

your answer is 6000

4 0
3 years ago
Read 2 more answers
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