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kicyunya [14]
3 years ago
8

Complete the proof with the statements and reasons below. Write the letter of the statement or reason in the box.

Mathematics
1 answer:
maw [93]3 years ago
8 0
Base on the question that said to write the letter of the statement or the reason in the said numbers in the question, and in my further analysis and research, the following are the answers:
Statements:
#1  C. x=15
#2   G. 3x-12=33
#3  L. 3x=45
#4 O. 3x+0=45
#5  <span>s. 3(x-4)=33
</span>
Reasons:
#1 R. Given
#2 F. Subtraction Property of Equality
#3 I. Division Property of Equality
#4  E. Addition Property of Equality
#5 <span>Distributive Property</span>
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A recently negotiated union contract allows workers in a shipping department 24 minutes for rest, 10 minutes for personal time,
Alik [6]

Answer:7.125 min

Step-by-step explanation:

Given

Resting time =24 min

Personal time=10 min

Delay=14 min

Observed Time=6min/cycle

Performance Rating=95%

Allowance Time=Rest time+Personal time+delay

Allowance time=24+10+14=48 min

Allowance %=\frac{Allowance Time}{Total Time}=\frac{48}{4\times 60}=20 \%

Allowance Factor=\frac{1}{1-0.20}=\frac{5}{4}

Calculate the Normal Time

Normal time=Observed time\timespersonal Time=6\times 0.95=5.7 min

Standard time=Normal time \times Allowance Factor

Standard time =NT\times Allowance factor=5.7\times 1.25=7.125 min

3 0
3 years ago
An orange has 20 fewer calories
Andreyy89

Answer:

90 calories in a banana.

Step-by-step explanation:

O = B - 20     where  O is the number calories in an orange and B is a that in  banana.

Also 7B = 9O

From the above   O = 7B / 9 so substituting in the first equation:

7B / 9 = B - 20

7B = 9B - 180

2B = 180

B = 90.

7 0
3 years ago
Adult tickets to Space City amusement park cost x dollars. Children's tickets cost y dollars. The Garcia family bought 3 adult a
KengaRu [80]

let the number of adult tickets be x and the number of children tickets be y

3x + y = 164...equ(1)

2x + 3y = 174....equ(2)

multiplying equation 1 by 3

9x + 3y = 492

subtracting equation 2 from 1

7x = 318

x = 45.43 dollars

substituting the value of x into the equation

3(45.428) + y = 164

y = 164 - 3(45.428)

∴y  = 27.71 dollars



8 0
3 years ago
Please help!!! 15 points!
scZoUnD [109]

im sorry but i cant seem to open your image?

4 0
3 years ago
Jack has a rectangle garden that measures 4 feet wide by 3 feet long he wants to increase the area to 56 feet
olga nikolaevna [1]

Answer:

then you would have as length or width 8 by 7 feet, or any other factors of 56 as the width or length. Since you want to increase the area.

8 0
3 years ago
Read 2 more answers
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