How do you solve log base 2 of 0.5 power 3 ?
1 answer:
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Answer:
1). System of equations- D + Q = 90 and D + 2.5Q = 175.50
2). There are 33 dimes and 57 quarters in the bank.
Step-by-step explanation:
Dylan has a bank that sorts coins as they are dropped in it.
A panel shows the total number of coins inside as well as the total value of these coins.
Let the number of dimes in the bank = D
and the number of quarters in the bank = Q
If the panel shows total number of coins = 90
Then the equation will be
D + Q = 90 -------(1)
And the panel displays the amount of the coins = $17.55
Then equation will be
0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]
D + 2.5Q = 175.50 ------------(2)
Now we subtract equation (1) form equation (2)
D + 2.5Q - (D + Q) = 175.50 - 90
D + 2.5Q - D - Q = 85.5
1.5Q = 85.5
Q =
= 57
By putting Q = 57 in the equation (1)
D + 57 = 90
D = 90 - 57 = 33
Therefore, there are 33 dimes and 57 quarters in the bank.
Answer:
65 servings
Step-by-step explanation:
Larry made 5 batches of punch.
In each batch, she uses the amount of lemon juice = 24 fluid ounces
and the amount she uses of orange juice = 5 pints
Since 1 pint = 16 fluid ounces
∴ 5 pints = 16 × 5 = 80 fluid ounces
Total quantity of punch in each batch = 24 + 80
= 104 fluid ounces
Total quantity of punch in 5 batches = 104 × 5
= 520 fluid ounces
If each serving is 1 cup.
and 1 cup = 8 ounces
He made the number of servings all together =
= 65 cups
He made 65 servings all together.