Answer:
n = - 12
Step-by-step explanation:
n/9 + 2/3 = - 2/3
n/9 = - 2/3 - 2/3
n/9 = - 4/3
n = 9(- 4/3)
n = -36/3
n = - 12
Answer:
0.3 galloons of water.
Step-by-step explanation:
We know that 1/5 galloons of water fills 2/3 of the bin.
So, we can write the following fraction:
We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:
To find our answer, we need to solve for x.
So, let's cross-multiply. This yields:
Multiply both sides by 3:
The left side simplifies. Multiply on the right:
Now, multiply both sides by 1/2:
Simplify the left. Multiply on the right:
So, 3/10 of 0.3 of a gallon of water will fill the entire bin.
And we're done!
Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
Answer:
-2/3, -0.6, 0.2, 1/2, 5/8
Step-by-step explanation:
What you do is you have to make them into decimals.
-0.6 and 0.2 are already in decimals.
-2/3 as a decimal is -0.667
1/2 as a decimal is 0.5
5/8 as a decimal is 0.625
-2/3, -0.6, 0.2, 1/2, 5/8 is your answer.
