Parallelogram A B C D is shown. The length of A B is (9 x minus 14) inches and the length of D C is (3 x + 4) inches. In paralle
1 answer:
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Answer:
9 bottles of soda and 7 bottles of juice
Step-by-step explanation:
Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.
1. Gabriel purchased 2 more bottles of soda than bottles of juice, then
2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.
Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.
In total, there are 35x+10y g of sugar.
All bottles collectively contain 385 grams of sugar, thus
3. Solve the system of two equations:
Substitute the first equation into the second equation:
Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
