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Luba_88 [7]
2 years ago
7

Shelley read 40 business proposals between 6 am and 11 am. On average how many proposals did she read per hour

Mathematics
1 answer:
UkoKoshka [18]2 years ago
6 0

Answer: 8 proposals per hour

Step-by-step explanation: 40/5 = 8

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If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Simplify 5 square root of 11 end root minus 12 square root of 11 end root minus 2 square root of 11
Gwar [14]
5✓11-12✓11-2✓11=-9✓11
8 0
3 years ago
Math help please!! Thanks in advance.
Marrrta [24]

The third table is the answer.

x=-5 => y=-5-6=-11

x=-8 => y=--8-6=-14

y=-7 => y=-7-6=-13

3 0
2 years ago
Need answer ASAP please help
Step2247 [10]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
What is (19-y)+5y=55
Kisachek [45]

Answer:

y = 9

Step-by-step explanation:

19-y+5y= 55

19+4y = 55

4y = 55 - 19

4y = 36

y = 36/4

y = 9

4 0
3 years ago
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