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Gekata [30.6K]
2 years ago
14

Emily can ride her scooter 18 miles in 50 minutes.a) At the same rate how far can she ride in two hours.b) How long would it tak

e for her to ride in 4 miles. c) what is her unite rate miles per hour.
Mathematics
1 answer:
sveta [45]2 years ago
3 0

Answer:

A - She can ride 43.2 miles in 2 hours.
B - It would take her about 11.1 minutes.

C - She can ride 21.6 miles in 1 hour. (IF THEY WANT IT IN MILES PER MINUTE: She can ride 0.36 miles in 1 minute.)

Step-by-step explanation:

Set up proportions for each :

A - 18/50 = x/120

120(8) = 50x

2160 = 50x

x = 43.2 minutes

B - 18/50 = 4/x

18x = 50(4)

18x = 200

x = 11.1 (repeating)

C - 18/50 = x/60 minutes

18(60) = 50x

1080 = 50x

x = 21.6

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105.3207

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8 0
3 years ago
The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability d
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Answer:

Average Mean = 1.8

Step-by-step explanation:

Missing:

X:0 1 2 3 4 5 6

P(x): 0.20 0.30 0.20 0.15 0.10 0.05

Computation:

Average Mean [Probability distribution]

∑[P(x) × X]

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5 0
3 years ago
Select the correct answer.
iogann1982 [59]

Answer:

B. 1

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7 0
3 years ago
a circle has a diameter of 26 units. what is the area of the circle to the nearest hundredth of a square unit.
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5 0
4 years ago
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed
erik [133]

Initial salary =  $50,000 .

Rate of raise = 5% each year.

Therefore, each next year salary would be 105% that is 1.05 times.

5% of 50,000 = 0.05 × 50000 = 2500.

Therefore raise is $2500 each year.

According to geometric sequence first term 50000 and common ratio 1.05.

Applying geometric sequence formula

a_n = ar^{n-1}

1) a_n = 50000(1.05)^{n-1}

2) In order to find salary in 5 years we need to plug n=5, we get

a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4

= 50000(1.21550625)

<h3>=$60775.3125.</h3>

3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.

S_n = \frac{a(1-r^n}{1-r}

Plugging n=10, a = 50000 and r= 1.05.

S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}

S_10 = \frac{50000(0.050)^{10}}{0.05}

= 628894.62678.

<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>



7 0
3 years ago
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