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Answers

Answer 1
Answer: For number nine the answer is 20

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Six people are standing in line for concert tickets. Their average age is 27. the average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

Answers

Total age 
6 * 27 
162 

Subtotal age of first 4 
4 * 23 
92 

Subtotal of last 3 
3 * 34 
102 

In the total of the first 4 and last 3 
the 4th person has been counted twice. 
This second time must be subtracted. 

Therefor 
92 + 102 - x = 162 
194 - x = 162 

Subtract 194 from both sides 
-x = -32 

Multiply both sides by -1 
x = 32 

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Ship Co. produces storage crates that require 1.2 meters of material at $.85 per meter and 01 direct labor hours at $15.00 per hour Overhead is applied at the rate of $9 per direct labor hour What is the total standard cost for one unit of product that would appear on a standard cost card?

Answers

Answer:

$3.42

Step-by-step explanation:

Meters of material required = 1.2 meters

Cost per meter of material = $0.85

Direct labor hours = 0.1

Cost of direct labor per hour = $15

Overhead rate = $9 per direct labor hour

Standard cost per unit of product :

(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)

Direct material cost per unit :

Material needed × cost per meter = (1.2 × $0.85) = $1.02

Direct labor cost per unit :

Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5

Overhead cost:

0.1 * $9 = $0.9

Standard cost :

($1.02 + $1.5 + $0.9) = $3.42

Multiply 12x17 using the Russian peasant method

Answers

[[work is attached]]

Steps:
1) Divide the first number by 2 until you get to 1 (ignore decimals)
2) Multiply the second number so you have as many answers as the first
3) Cross out answers in the second column that match with an even answer in the first
4) Add the numbers that are left in the second column

Answer: 204


half          double
12              17     we cut it
6                 34     we cut it with a line
3                 68
1                 136
..........................  
   12 x 7=  (68+136)

12 x 7= 204

Round
0.414
to the nearest hundredth.

Answers

The answer would be 0.41

If ON=5X-7,LM=4X+4NM=X-7 and OL=3Y-4 find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale. a. x = 11,y = 8/3
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3

Answers

To find the value of x and y we should know the properties of the Parallelogram.

Parallelogram

A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.

Given to us

  • ON=5X-7,
  • LM=4X+4,
  • NM=X-7,
  • OL=3Y-4


Solution

For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,

  1. LM = ON, and
  2. OL = NM.

Equation 1

Substituting the value in equation 1,

LM = ON\n4x+4 =5x-7\n4x-5x =-7-4\n-x =-11\n x = 11

Equation 2

Substituting the value in equation 2,

OL = NM

3y-4=x-7

Substituting the value of x

3y-4=(11)-7\n3y-4=11-7\n3y = 11-7+4\n3y = 8\ny=(8)/(3)

Hence, the value of x and y should be 11 and  (8)/(3) for LMNO to be a parallelogram.

Learn more about Parallelogram:

brainly.com/question/1563728

The answer is a.

5x-7 = 4x+4   solve for x

substitute  x in (x-7) to get 11-7

3y-4 = 11-7    solve for y

Function or not a Function?

Answers

It’s not a function because it doesn’t pass the vertical line test.