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Serjik [45]
3 years ago
15

Solve the proportion below. 5/x = 30/72 a.12 b.9 c.6 d.30

Mathematics
2 answers:
AnnyKZ [126]3 years ago
3 0

Answer:

A. 12

Step-by-step explanation:

Cross multiply:

30x = 72(5)

x = 360/30

x = 12

Stels [109]3 years ago
3 0

Hey there! :)

Answer:

x = 12.

Step-by-step explanation:

Set the two proportions equal to each other:

\frac{5}{x}  = \frac{30}{72}

Cross multiply to solve for x:

5 · 72 = 30 · x

360 = 30x

Divide both sides by 30:

360/30 = 30x/30

12 = x.

Therefore, the value of 'x' in this proportion is 12.

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3 years ago
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You are renting a house in Portland for a week at $1000. What is the cost per day? Tell me your exact steps.
AlexFokin [52]

Answer:

142.85

Step-by-step explanation:

1000 divided by 7

6 0
2 years ago
Janice works for a salary of $2,396 per month. She has federal income tax withheld at the rate of 15 percent, Social Security ta
MAVERICK [17]

Given that Janice monthly salary is $2,396. And she has deductions of federal income tax withheld at the rate 15%, social security tax at the rate of 6.2% and medicare tax at the rate of 1.45% and health insurance premium worth 95$ per month.

Let us calculate total deductions.

Federal income tax = 15% of 2396 = 0.15*2396      =$359.4

Social security tax  = 6.2% of 2396=0.062*2396    =$148.552

Medicare tax           = 1.45% of 2396= 0.0145*2396=$34.742

<u>health insurance premium                                         =$95          </u>

Total deductions                                                        = $637.694

To calculate Janice net pay we have to subtract deductions from monthly salary that is 2396-637.694 = $1758.306

Hence net pay of Janice is $1758.306 per month.

4 0
2 years ago
Write 0.45 as a fraction in simplest form
Natasha2012 [34]
First you need to set up your decimal as a fraction

45                                  9
----   divided by 5       ------
100                               20

9/20 is your answer
7 0
3 years ago
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Solve i + j + t (3i - j) = -i + s (j)<br> In the context of Vector Equations of a Line
Oksana_A [137]

Answer:

r = i + j + (-2/3)(3i - j)

Step-by-step explanation:

Vector Equation of a line - r = a + kb ; where r is the resultant vector of adding vector a and vector b and k is a constant

if a = i + j ; b = t(3i - j) and r = -i +s(j)

for this to be true all the vector components must be equal

summing i 's

i + 3ti  = -i; then t = -2/3

j - tj = sj; then s = 1-t; substitue t; s=1+2/3 = 5/3

so r = i + j + (-2/3)(3i - j) which will symplify to -i + 5/3j

3 0
2 years ago
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