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Rzqust [24]
3 years ago
10

A machine stamps 360 metal parts in 45 minutes. Find the unit rate in parts per hour.

Mathematics
2 answers:
Olenka [21]3 years ago
8 0

360/45 = x/60

45n = 60

n = 60/45

n = 1.333 or 1 and 1/3

multiply the numerator by the same amount as the denominator

360 multiplied by 1.333 = 480

480parts/hour

MakcuM [25]3 years ago
4 0

Answer:

50 to 15 min 30 sec

15 min 30 sec is actually 930 seconds

3600 sec in hour

-- not finished, working on it

Step-by-step explanation:

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xenn [34]

Step-by-step explanation:

Make the percentages into decimals by dividing by 100. Find germany by subtracting japan and USA from 1

Japan is 0.53

USA = 0.37

Germany = 0.1

8 0
3 years ago
Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coord
ElenaW [278]

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

8 0
2 years ago
What is the explicit formula for this sequence -7, -4, -1, 2, 5
Nataliya [291]

Answer:

\large\boxed{a_n=3n-10}

Step-by-step explanation:

It's an arithmetic sequence.

-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3

The difference is constant.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

Substitute:

a_1=-7,\ d=3

a_n=-7+(n-1)(3)          <em>use distributive property</em>

a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10

6 0
3 years ago
It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it t
Eva8 [605]
5.22min ........1s \\ x...................5s \\\\ x=\frac{5.22min*5\not s}{1\not s} \\\\ \boxed{x=26.1 \ minutes}
6 0
3 years ago
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Help me quick please --4x-7-3x+4=25
V125BC [204]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>32</u></em></h2>

Step-by-step explanation:

4x - 7 - 3x + 4 =25

=> 4x - 3x = 25 + 7

=> <em><u>x = 32 (Ans)</u></em>

3 0
3 years ago
Read 2 more answers
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