9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
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<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
Answer: 62.8cm^2
Step-by-step explanation:
The surface area of a cylinder is calculated by 2πrh+2πr2
where π is a constant, given as 3.14; h is the height, given as 3cm and r is radius, given as 2cm.
Therefore, rh = 3 x 2= 6 cm ^2 while r^2 =2 × 2= 4 cm^2.
Slot the values into the formula:
V= 2 (3.14) x 6 + 2 (3.14) x 4
V=37.68 + 25.12
V=62.8cm ^2
I hope this helps
Answer: x=202
Step-by-step explanation:
1st: Add 98 to 104, this should give you your answer of x=202
Answer:
You find it by finding the dimensions of the X up and down, and Y left and right
Step-by-step explanation:
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
