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Sunny_sXe [5.5K]
3 years ago
13

A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0

Answer:

12 mph

Step-by-step explanation:

If she travels 3 miles in 15 minutes she travels 3 * 4 = 12 miles in one hour so the answer is 12 mph.

jeka943 years ago
5 0

Answer:

Your average speed was 12.0 Miles per hour (mph)

Step-by-step explanation:

Time spent

0

hours

15

minutes

0

seconds

How much distance did you cover during that time?

3

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A roller coaster at XTRA Fun Rides goes into an underground tunnel during the first descent of the
gregori [183]

Answer:

y-intercept:  (0, 75) ⇒ y = 75

x-intercepts:  (3, 0) and (5, 0) ⇒ x = 3 and x = 5

vertex: (4, -5)

Step-by-step explanation:

Let the x-axis be the ground (when y = 0).  Therefore underground when y < 0 and overground when y > 0

The function is a quadratic:  f(x) = ax² + bx + c

If the coaster enters the tunnel three seconds after the first descent starts and stays in the tunnel for a total of 2 seconds, then y = 0 when x = 3 and x = 5

Also, when x = 1, y = 40

  • f(3) = 0
    ⇒ 9a + 3b + c = 0
  • f(5) = 0
    ⇒ 25a + 5b + c = 0
  • f(1) = 40
    ⇒ a + b + c = 40

Solve 2 equations simultaneously:

  • 9a + 3b + c = 0
  • 25a + 5b + c = 0
  • a + b + c = 40

⇒ a = 5  b = -40  c = 75

⇒ f(x) = 5x² - 40x + 75

<u>y-intercept</u>

when x = 0

⇒ f(0) = 5(0²) - 40(0) + 75 = 75

⇒ y-intercept = (0, 75)

<u>x-intercepts</u>

x = 3 and x = 5

<u>Vertex</u>

If the x-intercepts are when x = 3 and x = 5, then vertex is when x = 4

⇒ f(4) = 5(4²) - 40(4) + 75 = -5

⇒ vertex = (4, -5)

5 0
2 years ago
to make 2 batches of nut nars, jayda needs to use 4 eggs how many eggs used in each batch of nut bars
muminat
To solve this problem, we need to set up a proportion.

2 batches of nut bars/ 4 eggs = 1 batch of nut bars / x eggs.

To solve this proportion, we use cross products, or multiplying the numerator of one number by the denominator of the other and setting them equal to one another.

(4 eggs) (1 batch) = (2 batches) (x eggs)

4= 2x

2=x

Therefore, 2 eggs are used in each batch of nut bars.
4 0
3 years ago
10 POINTS!
aksik [14]

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi
m_a_m_a [10]
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide. 

 1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

 A2=LxW
 
 L=27 centimeters (The lenght of the rectangle)
 W=21 centimeters (The width of the rectangle)

 2. When you substitute the values of L and W into the formula, you obtain:

 A2=(27 cm)(21 cm)
 A2=567 cm</span>²
<span>
 3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

 A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches

 4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

 (9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
 How many of the patches can Leia cut from 33 pieces of the fabric?

 The answer is: 297 triangular patches</span>
6 0
3 years ago
Can someone help on number 32 please
STatiana [176]

Answer:

b. -2.5, -\frac{5}{4}, -\frac{2}{3}, 0.75, \sqrt{3}, 1.9,  I-4I

Step-by-step explanation:

-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.

0.75 is smaller than the square root of 3 since that equals to 1.7.

1.9 is smaller than the absolute value of -4 since that equals to 4.

4 0
3 years ago
Read 2 more answers
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