Answer:
D.$3.95
Step-by-step explanation:
Let us represent
12-ounce cup = x
16-ounce cup = y
A customer orders a round of coffee for her friends.
If she orders two 12-ounce cups and one 16-ounce cup, she will owe the coffee shop $10.75.
Hence:
2x + y = 10.75.....Equation 1
y = 10.75 - 2x
If she orders one 12-ounce cup and two 16-ounce cups, she will owe the coffee shop $11.30.
Hence:
x + 2y = 11.30.....Equation 2
We substitute 10.75 -2x for y in Equation 2
x + 2(10.75 - 2x) = 11.30
x + 21.50 - 4x = 11.30
Collect like terms
x - 4x = 11.30 - 21.50
-3x = -10.20
x = -10.20/-3
x = $3.40
Solving for y
y = 10.75 - 2x
y = 10.75 - 2($3.40)
y = 10.75 - 6.8
y = $3.95
Therefore , 16-ounce cup is represented by y, the cost for a 16-ounce cup of coffee is $3.95
Option D is correct
Answer:
The ratio is 29:30
Step-by-step explanation:
First, we need to calculate the mass of sugar in the mix
That would be 100-41-29 = 100-70 = 30g
So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar
From the question, mass of blackberry = 29g while the mass of sugar = 30g
Mass of blackberry to mass of sugar = 29:30
This is incorrect because 2 + 5.8 = 7.8. And 7.8 does not equal 6. 2 + 4 = 6 is the correct answer. This could be represented by this:
2 + x = 6.
Subtract two from both sides to get:
x = 4.
When substituted back into the equation:
2 + (4) = 6.
Answer:
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Step-by-step explanation:
