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omeli [17]
3 years ago
9

May someone please tell me the answer

Mathematics
1 answer:
Pavel [41]3 years ago
6 0
The third one is the correct answer
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A university has 29,970 students. In a random sample of 285 students, 19 speak three or more languages. Predict the number of st
hodyreva [135]
Set up a proportion.
Let x = the number of students in 29970 who speak 3 or more languages.

285/19 = 29970/x Cross multiply
285 x = 19 * 29970
285x = 569430
x = 569430/285
x = 5415 students speak 3 languages.
4 0
2 years ago
Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0
2 years ago
Read 2 more answers
Find the perimeter of a rectangle with a length of 6x+3 and a width of -2x-5.
blsea [12.9K]
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4

At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5

-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5

This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
8 0
3 years ago
Read 2 more answers
Pam needs to spend less than $40 on her school supplies. She spends $12 on a
Cloud [144]

Answer:

28

Step-by-step explanation:

Total amount of money she has=$40

Spends=12

40-12=28

She has $28 dollars left to spend on her binders.

3 0
3 years ago
Read 2 more answers
Josh borrowed $50,000 from the bank to buy a new truck. The bank is going to charge him an interest rate of 6.9%. If his loan la
Neko [114]

Answer:

<em>The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>

Step-by-step explanation:

The formula for calculating simple interest is expressed as;

SI = Principal * rate * time/100

SI = 50,000 * 6.9*39/100*12

SI = 500*6.9*39/12

SI = 134,550/12

SI = 11,212.5

<em>Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>

P is the amount borrowed

R is the interest rate

T is the time in years

8 0
3 years ago
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