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ANEK [815]
4 years ago
14

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive

at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?
Mathematics
1 answer:
vfiekz [6]4 years ago
4 0

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

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A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the
dedylja [7]

Answer:

250 sq ft

Step-by-step explanation:

Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide

and 100 -20 -30 = 50 ft long

50 x 50 = 250 sq ft

3 0
4 years ago
How do I find the base of a triangle and the remaining side lengths?
Ann [662]
You look at the triangle...

The sides there are four

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8 0
3 years ago
Whats the ninth term of 25 20 15 10 5
Kaylis [27]

Given:

The sequence is 25, 20, 15, 10, 5.

To find:

The ninth term of the given sequence.

Solution:

We have,

25, 20, 15, 10, 5

It is an AP because the difference between two consecutive terms are same.

Here,

First term (a) = 25

Common difference (d) = 20-25

                                       = -5

The nth terms of an AP is

a_n=a+(n-1)d

Where, a is the first term and d is the common difference.

Putting a=25, n=9 and d=-5 to get the 9th term.

a_9=25+(9-1)(-5)

a_9=25+(8)(-5)

a_9=25-40

a_9=-15

Therefore, the ninth term of the given sequence is -15.

3 0
3 years ago
Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!
Andrei [34K]

Answer:

P(\text{Male}|\text{Divorced})\approx0.092

Step-by-step explanation:

\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is \frac{9.6}{104.5}\approx0.092, the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.

7 0
2 years ago
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin
almond37 [142]
Year        GDP
  y           (billion $)

1985       577

1986       577+ 3.2% of 577 = 577 * 1.032

1987       577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2

1988       577 * (1.032)^3

1989       577 * (1.032)^4

....           .... => model GDP = 577 * (1.032)^ (y - 1985)

Then, for GDP = $3.4 trillion = $3400 billion =>

3400 = 577 (1.032)^ (y - 1985)

Divide both sides by 577:

(1.032)^ (y - 1985) = 3400 / 577 = 5.892548

Apply logarith to both sides:

(y - 1985) log (1.032) = log 5.892548

=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years

=> y = 1985 + 56.3 = 2041.3

Answer: 2041


8 0
3 years ago
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