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3 years ago

Measurement question please show work thank you

Mathematics

2 answers:

frez [133]3 years ago

7 0

Answer:

1) 92100 dm

2) 6650 decalitres

sukhopar [10]3 years ago

5 0

Answers:

b) 92100 decimeters

c) 6650 decaliters

=====================================================

Work Shown for part b)

1 decameter = 10 meters

1 decimeter = 1/10 of a meter

10 decimeters = 1 meter .... multiply both sides by 10

100 decimeters = 10 meters ... multiply both sides by 10

100 decimeter = 1 decameter

921*(100 decimeter) = 921*(1 decameter)

92100 decimeters = 921 decameters

-------------------

Work Shown for part c)

We could follow the same idea as part b). I'm going to use another approach as shown in the diagram below. This conversion method is known as the railroad tracks method in some math textbooks.

Each column represents two things that are equivalent to one another. For example, 1 kiloliter is the same as 1000 liters. So each column, when you divide top over bottom, represents the value 1.

Notice the unit cancelations as shown by the color coding. The goal is to have every unit cancel except for the decaliters unit which is what we want to end up with ultimately.

Once you have the railroad tracks set up, you multiply straight across.

Along the top, we have 66.5*1000*1 = 66500

Along the bottom we have 1*10 = 10

Divide those results: 66500/10 = 6650

So 66.5 kiloliters converts to 6650 decaliters

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What is the mass of raisins in a package

Alecsey [184]

Answer:

Step-by-step explanation:

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3 years ago

A student cuts pieces of ribbon to decorate a banner the first piece of ribbon is 24 inches long. The next piece of ribbon is on

kumpel [21]

Answer:

Option D) 47.25 in

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

$y=a(1-r)^x$

where

y is the total length

x is the number of pieces of ribbon

a is the initial value

r is the rate of change

we have

$a=24\ in\\r=50\%=50/100=0.50$

substitute

$y=24(1-0.50)^x$

$y=24(0.50)^x$

we have that

For x=0 -----> $y=24\ in$

For x=1 ----> $y=24(0.50)^1=12\ in$

For x=2 ----> $y=24(0.50)^2=6\ in$

For x=3 ----> $y=24(0.50)^3=3\ in$

For x=4 ----> $y=24(0.50)^4=1.5\ in$

For x=5 ----> $y=24(0.50)^5=0.75\ in$

Adds the length of the first 6 pieces of ribbon

$24+12+6+3+1.5+0.75=47.25\ in$

7 0

3 years ago

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green

nydimaria [60]

Answer:

First Winner Getting white box = $\frac{10}{40}=\frac{1}{4}$

Second Winner Getting white box = $\frac{9}{39}=\frac{3}{13}$

Both getting the white box = $\frac{3}{52}$

Step-by-step explanation:

Number of available colors = 4

Number of boxes of each color = 10

So total boxes available = 40

Number of white boxes = 10

Probability is defined as the ratio of favorable outcomes to total possible outcomes. In this case, getting a white box is favorable outcome, so number of favorable outcomes is 10 and total possible boxes are 40. So,

Probability that first winner will receive a white box = $\frac{10}{40}=\frac{1}{4}$

After the first winner has been given his box, there are 39 total boxes remaining with 9 white boxes. So,

Probability that second winner will receive a white box = $\frac{9}{39}=\frac{3}{13}$

The probability that both the winners will receive the white boxes will be the product of their individual probabilities i.e.

Probability that the first winner receiving a white box and the second winner also receiving a box of the same color = $\frac{10}{40} \times \frac{9}{39}=\frac{3}{52}$