Explain how to use a tape diagram to find 90% of 180

Answers

Answer 1

Answer:

Using a tape diagram, we find that 90% of 180 is 162.

A tape diagram, also known as a bar model, is a visual representation used to solve mathematical problems. To find 90% of 180 using a tape diagram, follow these steps:

Step 1: Draw a tape diagram with a bar that represents the whole value, which is 180 in this case.

Step 2: Divide the bar into 10 equal segments, representing 100% of the value.

Step 3: Shade 9 out of the 10 segments to represent 90% of the value.

Step 4: Determine the value represented by the shaded segments. Since 9 out of 10 segments are shaded, the value is 9/10 of 180.

Step 5: Calculate the result. 9/10 of 180 is (9/10) * 180 = 162.

Therefore, using a tape diagram, we find that 90% of 180 is 162. This visual representation helps understand the concept of percentages and provides an intuitive way to solve the problem.

To know more about tape diagram:

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Answer 2

Answer: You must make a tape diagram going by 10 percents. 10, 20, 30... Then, put 180 over the 90 percent. Then, do 180 divide by 10 to find out 10 percent. That is 18. Then do 18 times 9 which is 162.

Also, you could make 90 a decimal. 0.90. 0.90 times 180 is 162.

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kristy ran 24 laps in chairity run and then walked 0.2 kilometer to the presentation table. The total distance Kristy traveled was 29.6 kilometers. What was the distance of each lap? Explain how you solved the problem.

Answers

Answer:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

totaldistanceof24laps

29.6km - 0.2km

=29.4km

totaldistanceofeachlap

24 laps = 29.4km

1 lap = ?

Usecross-multiple

24 laps × X = 29.4km × 1 lap

X = 29.4km / 24

X = 1.225km

Answer

1.225km

Math 10 oshua unfolded a cardboard box. The figure of the unfolded box is shown below:

A long rectangle divided along the length into 4 equal squares is shown. Along the upper edge length of the second square is shown another square, and along the lower edge length of the fourth square is shown another square. The first square from the left has two adjacent sides labeled as 3 inches each.

Which calculation will give the total surface area of the cardboard, in square inches, that was used to make the box?

a
6 × 3 × 3
b
3 × 6 × 6
c
9 × 6 × 6
d
6 × 9 × 9