Answer:
y = 300
Step-by-step explanation:
The equation of variation in which y varies directly as x is written Mathematically as:
y ∝ x
y = k × x
y = kx
Where k = Proportionality Constant
We find k
a) y = 60 when x = 0.4.
60 = 0.4 × k
k = 60/0.4
k = 150
b) find the value of y when x = 2
y = kx
k = 150
Hence,
y = 150 × 2
y = 300
Answer:
65%, 2/3, 0.7, 6/8
Step-by-step explanation:
Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
BD = 46
Explanation:
BC = CD and AC is used for both triangles so AD MUST = AB.
If AB = 23, then AD = 23.
BD = AB + AB
BD = 23 + 23
BD = 46
