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eduard
3 years ago
6

How do you do this .

Mathematics
1 answer:
mars1129 [50]3 years ago
6 0
The slope of the line on the graph represents Pete's speed. That slope is 8 miles/hour.

Paul walks 2 miles in 0.4 hours, so walks at (2/0.4) miles/hour = 5 miles/hour.


a) Pete is moving at a greater rate.


b) At 8 miles per hour, it takes Pete (2 mi)/(8 mi/h) = 1/4 h = 15 minutes to get to school. If Pete leaves 5 minutes later than Paul, he will reach school 20 minutes after Paul starts, while Paul is still 4 minutes away from the school.

Yes, Pete will catch Paul before they get to school.
You might be interested in
The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of th
Nataly_w [17]

Answer:

The center of the circle is (-3 , 5) and the length of the radius is 9 units

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format

 (x – h)² + (y – k)² = r², where the center is the point (h, k) and

 the radius is r.

- This form of the equation is helpful, because you can easily find

  the center and the radius.

* Now lets solve the problem

- The equation is (x + 3)² + (y - 5)² = 81

- By comparing the two equations

∵  (x – h)² + (y – k)² = r² and  (x + 3)² + (y - 5)² = 81

# x - h = x + 3

∴ -h = 3 ⇒ divide both sides by -1

∴ h = -3

# y - k = y - 5

∴ k = 5

# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

3 0
3 years ago
What is the value of b in the equation 3b + 2(b − 1) = 8?<br><br> 2<br> 5<br> 8<br> 10
Zanzabum
3b+2(b-1) = 8 3b+2b-2 = 8 5b = 8+2 5b = 10 b = 2
6 0
3 years ago
Read 2 more answers
Hazel wants to build a concrete patio that will be 9 yards by 11 yards. It will cost $4.00 per square yard to build. What will b
Serggg [28]

Answer:

$396

Step-by-step explanation:

The total cost of the patio = area of the patio x cost per square yard

area of the patio = area of a rectangle = length x breadth = 11 x 9 = 99 yards^2

total cost of the patio = 99 x 4 = $396

8 0
2 years ago
Match the measures of each angle
Tresset [83]
Polygons, Number of sides, Measure is angles, and angle sums
5 0
3 years ago
Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips. Jocelyn would l
photoshop1234 [79]

The total arrangements Jocelyn can make is 239573160 if Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

<h3>What are permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

Arrangements for carnations = P(9, 6) = 60480

Arrangements for daffodils = P(12, 4) = 11880

Arrangements for tulips = P(12, 4) = 239500800

Total arrangements = 60480 + 11880 + 239500800 = 239573160

Thus, the total arrangements Jocelyn can make is 239573160 if Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1

4 0
11 months ago
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