-4x + 5 - 5 > 29 - 5
-4x > -24
-4x/-4 > -24/-4
x > 6
What were his two mistakes?
Answer:
-4x > 24
x< 6
Step-by-step explanation:
-4x + 5 > 29
-4x + 5 - 5 > 29 - 5 (subtracted 5 on both sides)
To remove +5, Sam subtracted 5 on both sides. but 29-5 is 24
we always put the sign of greatest number . so its positive
-4x > 24 is correct
-4x/-4 > 24/-4
Dividing both sides by -4 is correct. But when we divide by negative number we need to flip the inequality sign . so > becomes <
x < 6
Answer:
382 - 33 = 349
382- 44 = 338
382 - 35 = 347
Step-by-step explanation:
First let's see what ungroup is.
We are given a number 382
If ungroup this number, we get 3 hundreds 8 tens and 2 ones.
This is called ungrouped.
We are asked to write the subtraction equation in which only tens is ungrouped.
So we need to use the number 382 where only tens place should be ungrouped.
Here the tens place value digit is 8, it means there are 8 tens.(8 *10 = 80)
So we need to subtract a number such that tens should be ungrouped in 382.
The number that should have one's place should be greater that 2, then only we can ungroup tens in the number 382.
We can have many such numbers, 33, 34. 35. 36. 39, 43, 44, 45 and so on.
We can use any of those numbers subtract from 382 in which only tens is ungrouped.
382 - 33 = 349
In 33, the ones place is 3 and in 382 ones place is 2. We cannot subtract 3 from 2.
So we ungroup tens, there 8 tens, we take 1 tens and brake into 10 ones.
Now we will have (10 +2 = 12 ones) from 12 ones we subtract 3 ones, so we get 9 on the ones place.
Similarly, we can write many subtraction equation using the number 382 in which only tens is ungrouped.
382- 44 = 338
382 - 35 = 347
and so on.
Answer: 45%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 9/20 as a percent, we will need to find a fraction equivalent to 9/20 that has a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
900 = 20n
÷20 ÷20 ← divide by 20 on both sides
45 = n
Therefore, 9/20 is equal to 45 over 100 or 45%.
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Answer: 0.45
Step-by-step explanation: In order to write 9/20 as a decimal, we need to find a fraction equivalent to 9/20 with a 100 in the denominator. Notice that if we multiply both the numerator of 9/20 by 5, we get the equivalent fraction 45/100 which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So, we can write 45/100 as 0.45.
Therefore, 9/20 is equivalent to 0.45.
The required, 9/20 as a decimal is 0.45, and as a percentage is 45%.
Decimals and percentages are both ways to express numbers that are less than or equal to 1. Decimals are a way to represent numbers using the base-10 numbering system. Percentages, on the other hand, are a way to express a portion of a whole as a fraction of 100.
To convert 9/20 to a decimal, divide the numerator (9) by the denominator (20).
9 ÷ 20 = 0.45
So, 9/20 as a decimal is 0.45.
To convert 0.45 to a percentage, multiply it by 100.
0.45 x 100 = 45
So, 9/20 as a percentage is 45%.
In summary, 9/20 as a decimal is 0.45, and as a percentage is 45%.
Learn more about percentages here:
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