Answer:
15 pounds of onions are needed in the recipe.
Step-by-step explanation:
Total gallon of chopped onion needed for the recipe = 1 1/2 gallons
Solving the mixed fraction, we get
So, the chopped onion needed = 1.5 gallons
Also, 1 gallon = 160 ounces
So, 1.5 gallon = 1.5 x (160) ounces = 240 ounces
⇒ 1.5 gallon = 240 ounces
Now, 1 ounce = 0.0625 pounds
⇒ 240 ounces = 240 x 0.0625 pounds = 15 pounds
Hence, 15 pounds of onions are needed in the recipe.
Answer:
A) 1
Step-by-step explanation:
To solve, just plug in the numbers to the equation for x until both sides are equal to each other.
Plug in 1:
2(1 + x) = x + 3
Let x = 1:
2(1 + 1) = 1 + 3
Solve. Remember to follow PEMDAS. First, add parenthesis, then multiply. On the other side, add:
2(1 + 1) = 1 + 3
2(2) = 4
4 = 4 (True)
A) 1 is your answer.
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Answer:
A. 784
Step-by-step explanation:
915 - 75 = 840 840 - 36 = 804 804 - 20 = 784
9514 1404 393
Answer:
13.3 m
Step-by-step explanation:
Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...
A = LW
83 = (d -2)(d -6) = d² -8d +12
71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way
d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square
(d -4)² = 87 . . . . . . . write as a square
d -4 = √87 . . . . . . . positive square root
d = 4 +√87 ≈ 13.3 . . . . add 4
The diagonal is about 13.3 meters long.
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<em>Additional comment</em>
If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. <em>The geometry described here is impossible</em>. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².
Let in t hours, they are at 270 miles apart .
After t hours, Dave traveled
And Mary traveled ,
So the equation is
That is at 1 pm, they are 270 miles apart. And the correct option is A .
