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seropon [69]
3 years ago
7

The point (4, 12) is an ordered pair in a proportional relationship. What equation represents this relationship?

Mathematics
1 answer:
stira [4]3 years ago
3 0

Answer:

1

from \: the \: question \\ y =k x  -  -  - (i)\\ where \: k \: is \: the \: constant \: of \: proportionality \\ for \: the \: point \: given \\ y = 12 \: and \: x = 4 \\ from \: (i) \\ 12 = (k \times 4) \\ k =  \frac{12}{4}  \\ k = 3 \\ substitute \: for \: k \: in \: (i) \\ y = 3x

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Employment data at a large company reveal that 75% of the workers are​ married, 42​% are college​ graduates, and half of the col
galina1969 [7]

Answer:

a. P=0.04

b. P=0.54

c. P=0.96

Step-by-step explanation:

If half of the college graduates are married, then we have:

- 21% are college graduates and married.

- 21% are college graduates and not married.

If 75% of the workers are married, and 21% of the workers are college graduates and married, then (75%-21%)=54% of the workers are not college graduates that are married.

If 25% of the workers are married, and 21% of the workers are college graduates and not married, then (25%-21%)=4% of the workers are not college graduates that are not married.

a) P=0.04 (explanation above)

b) P=0.54

c) In this case, the probability is the complement of point "a". Then we can calculate it by substracting the probability of not being married and not being a college graduate.

P=1-0.04=0.96

8 0
3 years ago
Michele is purchasing new clothes for soccer practice for the upcoming season. She buys s pairs of shorts at $14.98 each. She al
Arte-miy333 [17]

Answer:

s14.98 + 92

Step-by-step explanation:

In order to make an expression for this word problem, all you have to do is follow along the steps in the problem:

s14.98 represents how many shorts Michele bought and how much they cost

8 * 11.50 represents how many shirts she bought and what they cost, but we need to simplify, so

8 * 11.50 = 92

Therefore, by adding the shorts and shirt together, we get the expression:

s14.98 + 92

Hope this helps :)

7 0
3 years ago
Write 4 different answers for <br><br> -1 less than or equal to r/3
STatiana [176]
-1<span> ≤  r/3                          
-1 </span><span> ≤ (r</span><span>÷3)
(r</span>÷3) <span>≥ -1
r/3 </span><span>≥ -1 </span>
3 0
3 years ago
Can someone please help me with this, I'm having trouble
dexar [7]
This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)

According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
  s² + (2s)² = 15²
  5s² = 225
  s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)

Then
  s = √45 = 3√5 . . . . . . . the length of one side is not 5√3
so the perimeter is
  p = 4s = 4·3√5 in = 12√5 in ≈ 26.83 in . . . . not 75 inches.

The area of the 6-block L-shaped path is
  total area = 6s² = 6·45 in² = 270 in² . . . . not 450 in²

And the total perimeter is 14 sides, so is
  total perimeter = 14s = 14·3√5 in = 42√5 in . . . . not 60√3 in


_____
In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.
7 0
3 years ago
Pleasee its pretty easy someone helpp
SVEN [57.7K]

Answer:

81.5, 9, 180

Step-by-step explanation:

28.

c=9

9x9=81

a=1/2

81+1/2=81.5

29.

9x1/2=4.5

4.5x2=9

30.

15x15=225

9x5=45

225-45=180

hope this helps!!!

6 0
3 years ago
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