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ZanzabumX [31]
3 years ago
7

Write a function rule for "The output is 5 less than four times the input." Use x for the independent variable and y for the dep

endent variable.
y = ?​
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

32

Step-by-step explanation:

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It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,
diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

  • Let the Todd's time be t.

<u>Given the following data:</u>

  • Combine time = 4 hours
  • Sue's time = 10 hours
  • Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

<u>For </u><u>Sue</u><u>:</u>

Rate = \frac{1}{10} \;work/hr

<u>For </u><u>Jeff</u><u>:</u>

Rate = \frac{1}{12} \;work/hr

<u>For </u><u>Todd</u><u>:</u>

Rate = \frac{1}{t} \;work/hr

<u>Combined rate:</u>

Rate = \frac{1}{4} \;work/hr

Adding the individual rates, we have:

\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\&#10;\\&#10;

Multiplying all through by 120t, we have:

12t+10t+120=30t\\&#10;\\&#10;22t+120=30t\\&#10;\\&#10;120=30t-22t\\&#10;\\&#10;120=8t\\&#10;\\&#10;t=\frac{120}{8}

t = 15 hours.

Read more on word problems here: brainly.com/question/13170908

5 0
2 years ago
HELP PLEASE!!
Verizon [17]

did you ever get the answer?

4 0
3 years ago
Read 2 more answers
-5/12-(-9/3) Reduce to simplest form
Lelechka [254]

Answer:

2 7/12

Step-by-step explanation:

−512−−93=?

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

The equivalent equation is

−512+93=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-5/12, 9/3) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−5/12×1/1)+(9/3×4/4)=?

Complete the multiplication and the equation becomes

−5/12+36/12=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−5+36/12=31/12

This fraction cannot be reduced.

The fraction

31/12

is the same as

31÷12

Convert to a mixed number using

long division for 31 ÷ 12 = 2R7, so

31/12=2 7/12

Therefore:

−5/12−−9/3=2 7/12

3 0
3 years ago
Help please I need someone to answer this
Assoli18 [71]

Answer:

Step-by-step explanation:

1). 8(5)-8+10

40-8+10

32+10

42, so answer is C

2). 9/5(42)+32

9(8.4)+32

75.6+32

107.6°F, so answer is D

8 0
3 years ago
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The figure shown below is a rhombus. Give the angle value (numerical, not the letters.
Rzqust [24]

Answer:

90 deg

Step-by-step explanation:

Recall that for a rhombus, the diagonals always intersect at right angles.

Hence angle PXM is 90 deg

6 0
4 years ago
Read 2 more answers
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