Answer:
Step-by-step explanation:
First you need to get like items on the same side(put the variables on one side and the non-variables on the other). Remember anything you do on one side of the equal, you have to do on the other side, too.
5X+3=7X-1 I'm going to move the -1 first, but you don't have to as long as you keep the equation equal.
5X+3+1=7X-1+1 We know that +1-1 is zero and so is -1+1. So
5X+3+1=7X We don't need to keep that zero.
5X+4=7X Now, we want to move the 5X over.
5X-5X+4=7X-5X Simplify and get rid of the zero.
4=2X Last, we have to divide to get the 2 away from the X.
4/2=2X/2 Not everyone know that slash mean divide, :-).
2=X
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
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<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
_____
<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
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Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
Answer:
Commutative Property
Step-by-step explanation:
It looks like Associative property which is when you change the GROUP, but actually it’s commutative because it didn’t change any numbers in the group, just the order of where they were.
Associative: (25 + 19) + 15 = (15 + 19) + 25
Commutative: (25 + 19) + 15 = (19 + 25) + 15
It didn’t change the numbers, only the order. Therefore, it would be commutative property
So,
The skateboard cost $67.
The protective helmet cost $25.
To find the percent that the price of the skateboard was out of the total amount, add 67 and 25 and divide 67 by the result.
Step 1:
67 + 25 = 92
Step 2:
67/92 = 0.728 or 72.8%.
The correct option is B.
Answer:
x= 37/36
Step-by-step explanation:
−12(3x−4)=11
Step 1: Simplify both sides of the equation.
−12(3x−4)=11
(−12)(3x)+(−12)(−4)=11(Distribute)
−36x+48=11
Step 2: Subtract 48 from both sides.
−36x+48−48=11−48
−36x=−37
Step 3: Divide both sides by -36.
−36x
−36
=
−37
−36
x=
37
36
Answer:
x=
37
36
