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Amanda [17]
3 years ago
8

This composite figure is made of two identical pyramids

Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

C. 2

Step-by-step explanation:

hope it answers your question ! if not lmk

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A boat goes 32 miles downstream in two hours. The return trip againts the current takes sixteen hours. Find the rate of the boat
zepelin [54]

Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph

Step-by-step explanation:

Let x represent the rate of the boat in calm water.

Let y represent the rate of the current.

A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be

x + y mph

Distance = speed × time

Distance covered downstream is

32 = 2(x + y)

16 = x + y - - - - - - - - - - - -1

The return trip against the current takes sixteen hours.

Its total speed would be x - y mph

Distance = speed × time

Distance covered on return trip is

32 = 16(x - y)

2 = x - y - - - - - - - - - - - -2

Adding equation 1 and equation 2, it becomes

18 = 2x

x = 18/2 = 9 mph

Substituting x = 9 into equation 1, it becomes

16 = 9 + y

y = 16 - 9 = 7 mph

3 0
3 years ago
Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.
Liula [17]

Answer:

53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is  hours.

Use formula:

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

6 0
3 years ago
Read 2 more answers
What’s the answer to these 2
inessss [21]

Answer:

b

Step-by-step explanation:

6 0
4 years ago
Explain why 8 < x < 2 has no solution? need the answer quick
lord [1]

Answer:

8 < x < 2 has no solution because there is no number greater than 8 (8 < x), yet less than 2 (x < 2). It's impossible, so there is no solution.

If the inequality was something like 8 < x < 10, then it will work because 8 can be less than x and x can be less than 10.

Hope this helps and have a great rest of your day! :)

8 0
2 years ago
  David is buying a new car for $21,349.00. He plans to make a down payment of $3,000.00. If he's to make monthly payments of $3
loris [4]

Answer:

(A)

Step-by-step explanation:

Cost of car = $21,349

Down payment = $3000

Remaining amount left = $18,349

Monthly payments (A) = $352

n = Total periods = 5years = 5*12= 60

P(loan amount) = 18,349

r = rate of interest monthly = r/12

Using formula, A = \frac{P\frac{r}{12} }{1-(1+\frac{r}{12})^{-60} }

352 = [tex]\frac{18349\frac{r}{12} }{1-(1+\frac{r}{12})^{-60} }[/tex

    =   0.059(approx)

Annual percentage rate = 5.9%


6 0
4 years ago
Read 2 more answers
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