Answer: 3 1 0
Step-by-step explanation:
So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much
42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32
the answer is 21/32 in simplest form
Answer: It will take Damon 6 weeks to save the money he needs to buy the snowboard
Step-by-step explanation:
First, let's see what the problem is giving us:
-The variable X will represent the number of weeks it will take Damon to save the money he needs.
- Damon has $40
- Damon is going to safe $20 weekly
- The snowboard costs $160
Therefor:
Our equation will be: $40 + $20X = $160
Step 1
We need to isolate the variable by subtracting in both sides of the equation 40 in order to maintain the equality.
40 - 40 + 20X = 160 - 40
This will let us with 20X = 120
Step 2
We have to isolate the variable again, but this time (because the variable is being multiplied by 20) we have to divide on both sides of the equation.
20X/20 = 120/20
Therefore: X=6
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Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
2(6x+11)-4x=14
12x+22-4x=14
8x=-8
x=-1
y=6(-1)+11
y=5
(-1,5)
