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umka2103 [35]
3 years ago
8

A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of

the boat in still water and what is the rate of the current?
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

9514 1404 393

Answer:

  • boat: 72 km/h
  • current: 16 km/h

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

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PLS HELP!
wolverine [178]

Given:

Alexis has a rectangular backyard that is 50 yards by 55 yards.

She wants to build a fence that stretches diagonally from one corner to the opposite corner.

To find:

The length of the fencing she needs.

Solution:

We have,

Length = 50 yards

Width = 55 yards

We know that, the diagonal of a rectangle is

Diagonal=\sqrt{length^2+width^2}

Diagonal=\sqrt{(50)^2+(55)^2}

Diagonal=\sqrt{2500+3025}

Diagonal=\sqrt{5525
}

On further simplification, we get

Diagonal=74.3303437

Diagonal\approx 74.3

Therefore, the length of the required fencing is 74.3 yards.

8 0
3 years ago
The cost to rent an instrument is $65 for the first month it costs $30 for each additional month,x, that the instrument is rente
yawa3891 [41]

Answer:

65+30x

Step-by-step explanation:

You forgot to give the choices.

But, I would think it's 65+30x=

7 0
3 years ago
Explain in a minimum of 2 sentences how to graph the equation of the absolute value function given a vertex of (-1,3) and a valu
liraira [26]
First, we put a point at the vertex. Then, we extend a line upwards of slope 1/2 to the right of the vertex. Then extend a line upwards of slope -1/2 to the left of the vertex. This will give the graph of the equation.
7 0
3 years ago
Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two da
KengaRu [80]

Answer:

12+17+y+z or 29+y+z.

Step-by-step explanation:

We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is 12+y+17+z.

The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.

According to Commutative Property of Addition a+b=b+a.

Similarly, we can write an equivalent expression to our given expression as:

12+17+y+z

We can simplify our expression as:

29+y+z.

Therefore, our required expression would be 12+17+y+z or 29+y+z.

4 0
3 years ago
What is 8 + x ≥ 12 on a number line???
levacccp [35]
8+x ≥ 12
-8 -8
x ≥ 4
(i tried taking the picture)

6 0
3 years ago
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