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guapka [62]
3 years ago
11

Which of the following would be the slope of the line perpendicular to the line y=1/3x+3​

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

Step-by-step explanation:

-3

perpendicular slope is the negative of the reciprocal

the reciprocal of 1/3 is 3

the opposite of 3 = -3

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5 0
3 years ago
?$5400 is? invested, part of it at 11?% and part of it at 8?%. For a certain? year, the total yield is ?$522.00. How much was in
Lesechka [4]

Answer:

  • $3000 at 11%
  • $2400 at 8%

Step-by-step explanation:

Let x represent the amount invested at 11%. Then (5400-x) is the amount invested at 8%. The total interest earned is the sum of the interest amounts earned on each investment. Each of those is the product of the interest rate and the amount invested.

  (5400-x)·8% + x·11% = 522

  432 +0.03x = 522 . . . . . . . . simplify

  .03x = 90 . . . . . . . . . . . . . . . subtract 432

  90/.03 = x = 3000 . . . . . . . . divide by the coefficient of x

$3000 is invested at 11%; $2400 is invested at 8%.

8 0
4 years ago
The probability of no homework is .02. What is the probability of no homework 3 days in a row?
Mrrafil [7]

Answer:

The answer is 0.006667

Step-by-step explanation:

The answer is 0.06667 because .02 divided by 3 equals 0.006667.

8 0
3 years ago
8.673<br><br> 8.637<br><br> Is 8.673 greater, least, or are they equal?
beks73 [17]

Answer:

the answer is greater...

7 0
3 years ago
Lines DE and AB intersect at point C.<br>What is the value of x?<br>12<br>25<br>38<br>52​
aniked [119]

Answer:

(B)25

Step-by-step explanation:

From the given diagram:

\angle ACE$ and \angle ECB are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.

Therefore:

\angle ACE$ + \angle ECB=180^\circ$ (Linear Postulate)\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\$Collect like terms\\2x+5x+2+3=180\\7x+5=180\\$Subtract 5 from both sides\\7x+5-5=180-5\\7x=175\\$Divide both sides by 7\\7x\div 7=175\div 7\\x=25^\circ

The correct option is B.

8 0
3 years ago
Read 2 more answers
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