We define the variables first:
x = number of male cousins
y = number of females cousins
We write the system of equations:
x + y = 9
x = y-2
We solve the system:
Equation 1:
x + y = 9
(y-2) + y = 9
2y-2 = 9
y = 11/2 = 5.5
Equation 2:
x = 5.5-2
x = 3.5
Answer:
Although physically it does not make sense, mathematically the answer is:
number of male cousins = 3.5
number of females cousins = 5.5
Answer: There are 13³/₄ quarts of lemonade.
In decimal form, that is 13.75 quarts.
Step-by-step explanation:
Multiply 7 1/2 times 1 5/6
It may be good to change the mixed numbers to improper fractions:
7¹/₂ becomes 15/2 and 1⁵/₆ becomes 11/6
15/2 × 11/6 = 165/12
Changing that back to a mixed number involves dividing
165÷12 = 13 with a remainder of 9.
Make a fraction of the remainder as the numerator and 12 as the denominator. 9/12.
Then simplify: 9/12 = 3/4
Assemble the mixed number: 13³/₄
<em>Another way is to change the fractions to decimals and calculate:</em>
<em>7.5 × 1.833 = 13.7475. Round to 13.75 and change back to a fraction if required.</em>
Answer:
1134
Step-by-step explanation:
=1134.114948
Answer: (2,10)
Step by Step:
y=3x+4
10=3(2)+4
10=6+4
10=10
