3d + 4 = 2 + 3d - 1/2
3d + 4 = 1 1/2 + 3d |subtract 3d from both sides
4 = 1 1/2 FALSE
Answer: No solution ( x ∈ ∅ )
Answer:
Step-by-step explanation:
<u><em>h. -1</em></u>
<u><em>i. 5</em></u>
<u><em>j. 11</em></u>
<u><em>k. -3</em></u>
<u><em>l. 1</em></u>
<u><em></em></u>
<u><em>Hope it helps.</em></u>
Answer: 13 & 1/2 cups of sugar
Whole part = 13
Fractional part = 1/2
===================================================
Explanation:
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
1 batch = 3 cups sugar
4.5*(1 batch) = 4.5*(3 cups sugar)
4.5 batches = 13.5 cups of sugar
The decimal number 13.5 converts to the mixed number 13 & 1/2 which is the same as writing 13 1/2
Let the first brother = x
second brother = x + 2
third brother = x + 4
<span>The product of the first and third boys' ages is 20 more than twice the second boy's age:
x(x+4) = 2(x+2) + 20
x</span>² + 4x = 2x + 4 + 20
x² + 4x - 2x - 24 = 0
x² + 2x - 24 = 0
(x - 4)(x + 6) = 0
x = 4 or -6 (rejected, age cannot be negative)
First brother = 4
Second brother = 4 + 2 = 6
Third brother = 4 + 4 = 8
The three boys are 4, 6, and 8 years old.
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
