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.
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The Greatest Common Factor of 24 and 42 is 6. A possible third number that would not change the GCF and is greater than 42 could be 48, as 6 still divides it exactly.
In mathematics, the question discusses finding the Greatest Common Factor (GCF) of two numbers, 24 and 42. The GCF is the highest number that divides exactly into both numbers. If you factorize 24 and 42, you find that the highest factor they share in common is 6. So, the GCF of 24 and 42 is 6.
Moving on, the third number that does not affect the GCF could be any number that is greater than 42 and has 6 as a factor. So, a possibility could be 48, because 48 is greater than 42, and the GCF of 6, 24, and 48 remains 6.
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there's a grid of squares with 12 rows and in each row there are 15 squares
from this grid she colours 8 squares from each row for 5 rows blue.
the rest of the squares she colours red
so first we have to find how many squares are there in the grid in total
so if each row has 15 squares
then 12 rows have - 15 x 12 = 180 squares
blue coloured squares
she colours 8 rows of 5 squares
so if 1 row has - 5 squares
then 8 rows have - 5 x 8 = 40 squares
from 180 squares, she colours 40 squares blue and the rest red colour
therefore the squares she colours red are
red squares = 180 - 40 = 140 squares
she colours 140 squares red