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:
option d: 25% unfavorable
Step-by-step explanation:
The budget is $40, and it was spent $50, so as the amount spent was higher than the budget, we have a unfavorable percent of variance.
The amount spent more than the budget was:
50 - 40 = 10
Now to calculate the percent of variance, we divide the value spent more than the budget (10) by the value of the budget (40)
Percent of variance = 10 / 40 = 0.25 = 25%
So the answer is 25% unfavorable, option d
Opposite sides of a rectangle are congruent
10 + 2x = 18
2x = 18 - 10
2x = 8
x = 8/2
x = 4
9514 1404 393
Answer:
2. (only)
Step-by-step explanation:
The Pythagorean theorem tells you the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. To determine if these are right triangles, determine if that condition is met.
1. 3^2 +5^2 = 9 + 25 = 34 ≠ (√35)^2 . . . . not a right triangle
2. 5^2 +4^2 = 25 +16 = 41 = (√41)^2 . . . a right triangle
3. 6^2 +8^2 = 36 +64 = 100 ≠ (√10)^2 . . . . not a right triangle
4. 3^2 +3^2 = 9 +9 = 18 ≠ (3√3)^2 = 27 . . . . not a right triangle
Answer:
t ≥ 18
Step-by-step explanation:
He has run 12 miles plus some more miles t. He need to run at least 30 miles
12+t ≥ 30
Subtract 12 from each side
12+t-12 ≥ 30-12
t ≥ 18
