The answer is B, and here's why. Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
d r t
there d 450 t
back d 400 1-t
Let me explain this table to you. The distance is d, we don't know what it is, that's what we are actually looking for. We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back. Hence, the d in both spaces. There he flew 450 mph, back he flew 400 mph. If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back. For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back. See? Now, because the distance there = the distance back, we can set the rt in both equal to each other. If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other. 450t = 400(1-t) and
450t = 400 - 400t and 850t = 400. Solve for t to get t = .47058. Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
Answer: b
Step-by-step explanation:
The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer:
The cost of
A small bucket = x = $8
A Larger bucket = y = $13
Step-by-step explanation:
Let the cost of
A small bucket = x
A Larger bucket = y
Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.
3x + 14y = 206... Equation 1
Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.
11x + 11y = 231.... Equation 2
What is the cost for a small bucket and a large bucket of popcorn?
3x + 14y = 206... Equation 1
11x + 11y = 231 ....... Equation 2
We solve using Elimination method
Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x
33x + 154y = 2266.... Equation 3
33x + 33y = 693....... Equation 4
We subtract Equation 4 from Equation 3
121y = 1573
y = 1573/121
y = $13
Solving for x
3x + 14y = 206... Equation 1
3x + 14 × 13 = 206
3x + 182 = 206
3x = 206 - 182
3x = 24
x = 24/3
x = $8
Hence, the cost of
A small bucket = x = $8
A Larger bucket = y = $13
