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
the Distributive Property uses two operations: multiplication and addition. It is an essential key to success in algebra. The Distributive Property allows you to "distribute" a number to each of the addends within parentheses. It offers another way of solving a problem.
Answer:
1. D) 1 9/20
2. B) 7/12
4. D) $50.00
Step-by-step explanation:
The working is as follows :
1. Mrs. Lang bought 3/4 pound of red grapes and 7/10 pound of green grapes. To find out how many are in total we have to add both values total.
3/4 + 7/10
The LCM of 4 and 10 is 20.
3/4 * 5 = 15/20
7/10 * 2 = 14/20
15/20 + 14/20 = 29/20 = 1 9/20
2. 1/3 + 1/4
The LCM of 3 and 4 is 12
1/3 * 4 = 4/12
1/4 * 3 = 3/12
4/12 + 3/12 = 7/12
4. Sharon spent 2/3 of her clothing allowance; she was given $75. All we have to do is find 2/3 of $25 :
2/3 * $75 = $50.00
Answer:
The Zscore for both test is the same
Step-by-step explanation:
Given that :
TEST 1:
score (x) = 75
Mean (m) = 65
Standard deviation (s) = 8
TEST 2:
score (x) = 75
Mean (m) = 70
Standard deviation (s) = 4
USING the relation to obtain the standardized score :
Zscore = (x - m) / s
TEST 1:
Zscore = (75 - 65) / 8
Zscore = 10/8
Zscore = 1.25
TEST 2:
Zscore = (75 - 70) / 4
Zscore = 5/4
Zscore = 1.25
The standardized score for both test is the same.
The equation has 1 solution
