Answer:
Step-by-step explanation:
We require 2 equations with the repeating decimal after the decimal point in both equations.
The bar above 136 indicates that 136 is being repeated
let x = 0.136136...... → (1) Multiply both sides by 1000
1000x = 136.136.... → (2)
Subtract (1) from (2) to eliminate the decimal part
999x = 136 ( divide both sides by 999 )
x =
Answer: 7/17
So there are 7 blue marbles and there are 17 marbles in total.
That means the probability of picking one blue marble is 7/17
1. find the LCD of 3 and 4 (12). so now your fractions are 5 4/12 and 3 9/12 perimeter is 2l + 2w so 2 (5 4/12) + 2( 3 9/12) = 10 4/12 + 7 6/12 = 17 10/12 or 17 5/6. this is reasonable because that the average perimeter of a sandbox.
2. LCD again is 12, so the fractions are 5 10/12 and 2 1/12. turn those into mixed fractions and get 70/12 and 25/12. 45/12 or 3 3/4. So she babysits 3 3/4 hours during the week.
3. The LCD for this is 8. now the fractions are 2/8 and 1 7/8 or 15/8. add 15/8 and 2/8 to get 17/8 or 2 1/8. He is using a total of 2 1/8 cups of flour.
4. 0.2
5. 0.054
6. 0.024
Answer: 5 Units
Step-by-step explanation:
Answer:
162, 163, and 164.
Step-by-step explanation:
Here we will use algebra to find three consecutive integers whose sum is 489. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 489. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 489
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 489
3X + 3 = 489
3X + 3 - 3 = 489 - 3
3X = 486
3X/3 = 486/3
X = 162
Which means that the first number is 162, the second number is 162 + 1 and the third number is 162 + 2. Therefore, three consecutive integers that add up to 489 are 162, 163, and 164.
162 + 163 + 164 = 489
We know our answer is correct because 162 + 163 + 164 equals 489 as displayed above.