Answer:
Answer is (4) -11.333
Step-by-step explanation:
multiply : 2x /12-4/3= 4x /15 -1/5
bring variable on one side :
2x/12 -4x/15= 4/3 - 1/5
common denominator : -6x/60=17/15
simplify : -x/10= 17/15
x= - 170/15= -11.3333
Answer:
7 1/5 pounds in each basket
Step-by-step explanation:
Original pounds of onion = 9 3/5
New pounds of onion = 4 4/5
The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions
Total onions = Original pounds of onion + New pounds of onion
= 9 3/5 + 4 4/5
= 48/5 + 24/5
= 48+24/5
= 72 / 5 pounds
How many pounds of onions does each basket contain?
Pounds in each basket = Total pounds /2 basket
= 72/5 ÷ 2
= 72/5 × 1/2
= 72 / 10
= 7 2/10
= 7 1/5 pounds in each basket
Answer: 5/24
Explanation: To subtract unlike fractions such as 7/8 - 2/3, first find a common denominator. The common denominator of 8 and 3 will be the least common multiple of 8 and 3 which is 24.
To get a 24 in the denominator of 7/8, we multiply both the numerator and the denominator by 3 to get 21/24.
To get a 24 in the denominator of 2/3, we multiply both the numerator and the deliminator by 8 and to get 16/24.
Now we are subtracting like fractions since both fractions have the same denominator or bottom number of 16.
To subtract like fractions, we simply subtract the numerators and keep the same denominator. So here, we have 21/24 - 16/24 which is 5/24.
Since 5/24 is in lowest terms, it's our final answer.
This means that 7/8 - 2/3 is 5/24.
Let x = cost of one skirt
Let y = cost of one coat.
We need to construct a system of equations to help us solve this problem.
Lily: $452.62 = 6x + 5y
Sis: $289.36 = 3x + 5y.
Let's solve this by elimination. Multiply the second equation by -1
Lily: $452.62 = 6x + 5y
Sis: -$289.36 = -3x + -5y. Add the equations together.
$163.26 = 3x. Divide each side by 3.
$54.42 = x. Plug this into one of our original equations.
$452.62 = 6(54.42) + 5y. Multiply 6 by 54.42
$452.62 = 326.52 + 5y. Subtract 326.52 from each side.
$126.1 = 5y. Divide each side by 5
$25.22 = y.
One coat costs $25.22
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