You want to compare the square root of 55 using "mental math". Start off by choosing two perfect squares that you can think of that are close to 55.
If you don't know perfect squares then start with the number 2 and multiply it by itself. 2 times 2 equals 4, so 4 is a perfect square.
Take the number 3, multiply it by itself, and so on. Do this for all the numbers until you find two perfect squares that are close to 55.
The two perfect squares closest to 55 are the square roots of 49 and 64. Find the square root of these numbers.
√49 = 7
√64 = 8
Calculate how far 55 is from 49 and 64. 55 is 6 digits away from 49 and 9 digits away from 64.
This means the square root of 55 will be closer to the square root of 49; 7. Since we know that it will be closer to 7, you can put the less than sign for your answer.
√55 < 7.7
(The actual square root of 55 is ~7.4, so we were correct in determining the answer without using a calculator!)
Katie is 6; Cathy is 18!
X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.
2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x
(2,7) is going to be the answer for that
Answer:
The expected value of one draw is the average value of these 10 slips of paper which is:
24 / 10 = 2.4
Step-by-step explanation:
We have a bag with 10 slips of paper in it. 8 slips of paper each has a 2 on them; 2 slips of paper each has a 4 on them.
The total value of all the slips when added together is:
= (8)(2) + (2)(4)
= 16 + 8 = 24
The expected value of one draw is the average value of these 10 slips of paper which is:
24 / 10 = 2.4 ....
Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
