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FrozenT [24]
2 years ago
11

(a) Jasmine ran 55 miles in 4242 minutes. Part A At what rate did Jasmine run? ​Jasmine ran at a rate of minutes per mile. ​Part

B Katie ran 44 miles. She ran at a rate that was 1.11.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
5 0

Answer:

Part A

0.764 minutes/miles

Part B

48.4 minutes

Step-by-step explanation:

a) Jasmine ran 55 miles in 42 minutes. Part A At what rate did Jasmine run?

​Jasmine ran at a rate of minutes per mile. ​

Rate = Minutes/Miles

Minutes = 42 minutes

Miles = 55 miles

Jasmine's rate = 42 minutes/55 miles

= 0.7636363636 minutes/miles

Approximately = 0.764 minutes/miles

Part B

Katie ran 44 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer. ​ ​

Rate = Minutes/Miles

Minutes = ?

Miles = 44 miles

Rate = 1.1 minutes per miles

Hence:

1.1 minutes per miles = x/44 miles

x = 1.1 minutes per miles × 44 miles

x = 48.4 minutes

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The equation y = 35.25x + 40 gives the labor cost y of repairing a car if it takes x hours to repair the car. Which statement is
Ad libitum [116K]
Repari cost (x) = y = 35.25 x + 40

x = number of hours to repair the car.

Every hour the cost will increase 35.25, becasue 40 is a fixed cost.

if x = 1, repair cost(1)  = 35.25 + 40

if x = 2, repair cost (2) = 35.25*2 + 40

if you subtract repair cost (1) from repair cost (2) you get 35.25*2 - 35.25 = 35.25

The same thing every time the repair time increases one hour. 

Answer: the last option of the list, for every hour of labor, the cost increases by $35.25
5 0
3 years ago
Which input value produces the same output value for the two functions on the graph
Mademuasel [1]

Answer:

The input value is x=1

Step-by-step explanation:

we know that

The intersection point both graphs is the point that  produces the same output value for the two functions

Observing the graph

The intersection point is (1,1)

therefore

For x=1 (input value)

The output value for the two functions is equal to 1

3 0
3 years ago
Hot dogs come in packs of 10 and buns come in packs of 8. Whats the least amount of packs you can buy to have the same amount of
shusha [124]
You'd need 8 packs of hot dogs and ten packs of buns!
8 0
3 years ago
Assume the acceleration of the object is a(t) = −32 feet per second per second. (Neglect air resistance.) A balloon, rising vert
Liula [17]

Answer:

(a) 2.79 seconds after its release the bag will strike the ground.

(b) At a velocity of 73.28 ft/second it will hit the ground.

Step-by-step explanation:

We are given that a balloon, rising vertically with a velocity of 16 feet per second, releases a sandbag at the instant when the balloon is 80 feet above the ground.

Assume the acceleration of the object is a(t) = −32 feet per second.

(a) For finding the time it will take the bag to strike the ground after its release, we will use the following formula;

                        s=ut+\frac{1}{2} at^{2}

Here, s = distance of the balloon above the ground = - 80 feet

          u = intital velocity = 16 feet per second

          a = acceleration of the object = -32 feet per second

          t = required time

So,  s=ut+\frac{1}{2} at^{2}

      -80=(16\times t)+(\frac{1}{2} \times -32 \times t^{2})

       -80=16t-16 t^{2}

       16 t^{2} -16t -80 =0

          t^{2} -t -5 =0

Now, we will use the quadratic D formula for finding the value of t, i.e;

           t = \frac{-b\pm \sqrt{D } }{2a}

Here, a = 1, b = -1, and c = -5

Also, D = b^{2} -4ac = (-1)^{2} -(4 \times 1 \times -5) = 21

So,  t = \frac{-(-1)\pm \sqrt{21 } }{2(1)}

      t = \frac{1\pm \sqrt{21 } }{2}

We will neglect the negative value of t as time can't be negative, so;

t = \frac{1+ \sqrt{21 } }{2} = 2.79 ≈ 3 seconds.

Hence, after 3 seconds of its release, the bag will strike the ground.

(b) For finding the velocity at which it hit the ground, we will use the formula;

                       v=u+at

Here, v = final velocity

So,  v=16+(-32 \times 2.79)

      v = 16 - 89.28 = -73.28 feet per second.

Hence, the bag will hit the ground at a velocity of -73.28 ft/second.

8 0
3 years ago
Help help help please
Mnenie [13.5K]

True, because of the Triangle Inequality Theorem.


To test if you could construct a triangle, make sure the following inequalities are true.


9 + 4 > 11

9 + 11 > 4

4 + 11 > 9.

8 0
3 years ago
Read 2 more answers
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