Answer:
The supermarket because she gets more oranges for the same price than at the farmers market
Given:
3x + 5 = -28 - 10
Let's find x.
3x + 5 = -28 - 10
3x + 5 = -38
Subtract 5 from both sides:
3z
Answer:
15/2= 7 1/2 =7.5
Step by step
Step 1 of 2: Add.
Add
5 and 2 over 165
2
16
+ 2 and 3 over 82
3
8
= 120 over 16
120
16
Step 1 of 2: Add, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
5 and 2 over 165
2
16
= ( 5 × 16 ) over 16
5 × 16
16
+ 2 over 16
2
16
= ( 80 + 2 ) over 16
80 + 2
16
= 82 over 16
82
16
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 3 over 82
3
8
= ( 2 × 8 ) over 8
2 × 8
8
+ 3 over 8
3
8
= ( 16 + 3 ) over 8
16 + 3
8
= 19 over 8
19
8
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
82 over 16
82
16
+ 19 over 8
19
8
= ( 82 × 1 ) over ( 16 × 1 )
82 × 1
16 × 1
+ ( 19 × 2 ) over ( 8 × 2 )
19 × 2
8 × 2
= 82 over 16
82
16
+ 38 over 16
38
16
16 is the least common multiple of denominators 16 and 8. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
82 over 16
82
16
+ 38 over 16
38
16
= ( 82 + 38 ) over 16
82 + 38
16
= 120 over 16
120
16
Step 1 of 2: Add.Hide
Step 2 of 2: Simplify.
Simplify
120 over 16
120
16
= 15 over 2
15
2
= 7 and 1 over 27
1
2
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
120 over 16
120
16
= ( 120 ÷ 8 ) over ( 16 ÷ 8 )
120 ÷ 8
16 ÷ 8
= 15 over 2
15
2
8 is the greatest common divisor of 120 and 16. Reduce by dividing both numerator and denominator by 8.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
15 over 2
15
2
= 7 and 1 over 27
1
2
15 ÷ 2 = 7 remainder 1
Answer:
x = -1
Step-by-step explanation:
-2/ ( x * (x+2)) = ( x+3) / ( x+2)
Using cross products
-2 ( x+2) = ( x+3) x* (x+2)
Divide each side by (x+2) This means x cannot equal -2 because we are dividing by 0
-2 = x ( x+3)
Distribute
-2 = x^2 +3x
Add 2 to each side
0 = x^2 + 3x+2
Factor
0 = ( x+2) (x+1)
Using the zero product property
x+2 = 0 x+1 = 0
x = -2 x = -1
But above we said x cannot equal -2
so x = -1