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slega [8]
3 years ago
7

Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than

his speed hiking uphill how far of the canyon did he hike
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

2x - x = 2.8

x = 2.8

Therefore, the distance hiked up the canyon is

2x = 2 × 2.8 = 5.6 miles

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CRITICAL THINKING The total area of the polygon is 176 square feet. What is the value of $x$ ?
Katarina [22]

Answer:

x = 6

Step-by-step explanation:

this figure involves two triangle and one rectangle

for area of rectangle= Length * Width = 16 * 8 = 128 feet^2

for area of one triangle = 1/2 * base * height = 1/2 * x *8 = 4x

for two triangles = 8x ft^2 total

whole area = two triangles + one rectangle

176 = 8x + 128

8x =48

x = 6

8 0
3 years ago
Can somebody please help me with this problem please
Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

6 0
3 years ago
Read 2 more answers
One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

x = 10

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
3 years ago
What is 1 1/9 plus 3 5/8
Daniel [21]
I think the answer should be 4.7 but rounded up would be 5
6 0
2 years ago
Read 2 more answers
PLEASE HELP? The standard form for the function is: P(x)=-5x^+120x-315.
dusya [7]

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

8 0
3 years ago
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