Answer:
Height of the building that cast a shadow of 45 meters is 27 meters
Step-by-step explanation:
This is a direct variation and let height of the object represent H and shadow represent S
Hence H∝S
H = KS, where K=constant of proportionality
K = H/S
K = 6/10 = 0.6
Hence height of a building that cast a shadow of 45 meters
H = KS
H = 0.6 × 45 = 27 meters
Answer: Candace ate 
servings.
Step-by-step explanation:
Given: Candace ate 
cup of cereal.
The box of cereal states that 1 serving of cereal = 
cup.
i.e. 1 cup = 
servings [Multiply both sides]
⇒ 
cup = 
servings
= servings [which is the number of servings she ate]
Hence, Candace ate servings.
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
60(2)+x(2)=260
120+2x=260
2x=140
x=70
its been a while since ive done inequalities so im sry if what i show isnt what you have
