Answer:
26
Step-by-step explanation:
100 +(24^2) = 676
square root of 676 = 26
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Answer:
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
Step-by-step explanation:
He makes a trail mix . He mixed 1 1/8 pounds of peanuts , 12 ounces of raisins, 11 ounces of walnuts and 7 ounces of pretzels. Notice the weight units are not equal to we have to convert the pounds to ounces so all the weight will be in ounces.
1 pound = 16 ounces
1 1/8 pounds = ? ounces
cross multiply
1 1/8 × 16
9/8 × 16 = 18 ounces
Therefore,
His trail mix are
18 ounces of peanuts
12 ounces of raisins
11 ounces of walnuts
7 ounces of pretzels
The total weight = 18 + 12 + 11 + 7 = 48 ounces
Weight of the trail mix = 48 ounces
If he divide the trail mix among 8 hikers equally each will get 48/8 = 6 ounces.
Answer : 40,000
Explanation : when multiplying 10 with 4,000 we get
4000 X 10 = 40,000.
As we multiply, using the chart there are 4 thousand present in the row of thousand column. When we multiply that with 10 it gets shifted to left and becomes 40,000.
Answer: 26t - 8
Step-by-step explanation:
