Answer:
12 quarts of the 90% pure apple juice should be used
Step-by-step explanation:
Here, we want to calculate the number of quarts of the 90% pure apple juice to be used.
Let the number of quarts of the 90% pure apple juice to be used be x;
This brings the total of the 85% result to (4 + x)
By mathematical convention;
4 quarts of 70% + x quarts of 90% = (4 + x) of 85%
70% = 70/100 = 0.7
90% = 90/100 = 0.9
85% = 85/100 = 0.85
Thus, mathematically;
(0.7 * 4) + (0.9 * x) = 0.85(4 + x)
2.8 + 0.9x = 3.4 + 0.85x
Let’s collect like terms
3.4 -2.8 = 0.9x -0.85x
0.6 = 0.05x
x = 0.6/0.05
x = 12
To get an 85% pure mixture, you need to combine 4 quarts of 70% pure apple juice with 4 quarts of 90% pure apple juice. This is obtained by setting and solving an algebraic equation based on percentage purity and volume.
This problem relates to an area of mathematics known as algebra. We are trying to find the amount of 90% pure apple juice needed to achieve an 85% pure mixture with a 4 quart bottle of 70% pure apple juice.
First, let's set up an equation based on the given information:
70%(amount of 70% pure apple juice) + 90%(amount of 90% pure apple juice) = 85%(total amount of apple juice mix)
Since the 70% pure apple juice is 4 quarts, the equation becomes:70%(4 quarts) + 90%(x) = 85%(4 quarts + x)
Next, we will solve for x. To do this, convert the percentages into decimals, multiply through, simplify and solve.
0.7(4) + 0.9x = 0.85(4+x)
2.8 + 0.9x = 3.4 + 0.85x
Solving for x, we get that x = 4 quarts.
So, you would need 4 quarts of the 90% pure apple juice to get an 85% pure mixture with your 4 quart of 70% pure apple juice.
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Answer:
225,060,000
Explanation:
1 million=1,000,000
2 hundred twenty five million=225*1 million=225,000,000
two hundred twenty five million,sixty thousand=225,000,000+60,000=225,060,000
Answer:
225,060,000.
Step-by-step explanation:
225 million = 225 * 1,000,000
= 225,000,000
This + 60,000
= 225,060,000.
There are 1.3 miles in 2,200 yards.
It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
We have,
2,200 yards ____(1)
1 mile = 1760 yards _____(2)
Now,
From (1) and (2),
1 mile = 1760 yards
Multiply 2,200/1760 on both sides.
2,200/1760 x 1 mile = 2,200/1760 x 1760 yards
1.25 miles = 2,200 yards
Rounding to the nearest tenths.
1.3 miles = 2,200 yards
Thus,
There are 1.3 miles in 2,200 yards.
Learn more about unitconversion here:
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Answer:
1.25 mi
Step-by-step explanation:
First, we want to convert a yard into feet; recall 1 yard = 3 feet.
Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.
So 2200*3 =6600, then divide by 5280
6600/5280 = 1.25 mi
2200 yard is 1.25 miles
Answer:
A rate is a comparison of two different quantities with different units. Rates are always ratios, since they are comparing two different numbers as they compare two different quantities.
Step-by-step explanation:
math magic
2. used to elect the President, Vice-President, and members of Congress
3. chosen by the election board
4. national, state, and local elections come on the same day
5. the submitting of a proposed public measure for voting by the general public
A. Election officers
B. Referendum
C. The Australian Ballot
D. Short ballot
E. A Criticism of elections
- The Australian Ballot - was introduced in the United States in 1888
- Short ballot - used to elect the President, Vice-President, and members of Congress
- Election officers - chosen by the election board
- Criticism of elections - national, state, and local elections come on the same day
- Referendum - the submitting of a proposed public measure for voting by the general public
Answer:
117 grams
Step-by-step explanation:
So this is a oddly phrased question but I believe I understand it. You need to find 10 percent of 1170 grams and that it 117. And for you information I did use calculator to prevent error so don't worry about that.