Answer:
d) x = 1
Step-by-step explanation:
6x + 2 = 9x - 1
-6x -6x
--------------------------
2 = 3x - 1
+1 +1
------------------
3 = 3x
Divide both sides by 3
3/3 = 1
Answer:
Janice converted a mixed number to the wrong improper fraction.
Step-by-step explanation:
1 batch of stew uses 1 and 2/3 lb meat
Total amount of meat used - 10 and 5/6 lb
x = number of stew batches made
To get number of batches made, divide total meat used by the amount of meat each batch requires:
x = 10 5/6 ÷ 1 2/3
convert mixed fractions to improper fractions:
x = (10x6+5)/6 ÷ (1x3+2)/3
x = 65/6 ÷ 5/3
The fraction in bold numbers is where Janice got it wrong. She changed 1 2/3 to 5/2. (From the question: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves). 1 2/3 converted to an improper fraction is 5/3. From this point going forward, the calculations are wrong.
12 quarters, 4 dimes, 1 nickle, 4 pennies
3.49
Answer:
14.6
Step-by-step explanation:
The area of a rectangle is area=length*width
so we can substitute the numbers here, 262.8=18w
divide 262.8 by 18 to isolate the variable.
You get 14.6.
The width is 14.6.
If John had to mow 8 lawns, but he forgot to mow 2 lawns, we have to subtract 2 from 8 to see how many lawns he actually mowed.
8-2=6
John mowed 6 lawns!
For each lawn John mowed, he earned 3 dollars. So, we have to multiply the number of lawns he mowed, 6, by the amount of dollars he earned per lawn, 3. Multiplying 6*3 is the same as adding 3+3+3+3+3+3!
6*3=18
John earned $18!
Hope I helped! :)