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kherson [118]
3 years ago
9

mercer middle school has 1400 students last year this year there are 1,120 students enrolled. Find the percent of change in the

number of students is this a percent increase or percent decrease
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

20% decrease

1400 ÷ 100 = 14 (1% of the original)

1400 - 1120 = 280 (difference)

280 ÷14 = 20

it's a percentage decrease because the amount is smaller than the original

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Answer:

64

Step-by-step explanation:

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3 years ago
How many solutions does y=5x+12 and y=5x+18
Mrrafil [7]

Answer:

there is no solution for these linear equations in two variables.

since a1 (y) = a2 (y)

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  but, c1 (12) not equal to c2 (18)

8 0
3 years ago
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It takes 3 hours to paddle a kayak 12 miles downstream and 4 hours for the return trip upstream. Find the rate of the kayak in s
Furkat [3]

The rate of the kayak in still water is 3.5 mph

<h3><u>Solution:</u></h3>

Given that It takes 3 hours to paddle a kayak 12 miles downstream

Distance covered in downstream = 12 miles

Time taken to cover downstream = 3 hours

Also given that it takes 4 hours for the return trip upstream

Distance covered in upstream = 12 miles

Time taken to cover upstream = 4 hours

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then: Speed downstream = (u + v) km/hr and Speed upstream = (u - v) km/hr

Let the speed of Kayak in still water = x mph

And The speed of current = y mph

For downstream:

Speed downstream = x + y

We know that speed = \frac{distance}{time}

\frac{distance}{time} = x + y

x + y = \frac{12}{3}

x + y = 4  ------ eqn 1

<em><u>For upstream:</u></em>

Speed upstream = x - y

\frac{12}{4} = x - y

x - y = 3 -------- eqn 2

Now let us eqn 1 and eqn 2

Add eqn 1 and eqn 2

x + y + x - y = 4 + 3

2x = 7

x = 3.5

speed of Kayak in still water = x mph  = 3.5 mph

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3 years ago
Simplify the given exponential expression.
Andrews [41]
The rule for multiplying similar bases with exponents is:

(a^b)*(a^c)=a^(b+c)

In this case you have:

(x^9)(x^2)

x^(9+2)

x^11
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3 years ago
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