88 + 44c = 55c
88 = 55c - 44c
88 = 11c
88/11 = c
8 = c <== they will cost the same at 8 classes
Answer:
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
Step-by-step explanation:
<u><em>The question is</em></u>
Find how many kilometers they traveled by bike
Let
x ----> kilometers traveled by bike
y ----> kilometers traveled by bus
we know that
They traveled 300 kilometers in total
so
----> equation A
They biked 70 kilometers more than they were bus
so
----> equation B
substitute equation B in equation A

solve for y

<em>Find the value of x</em>

therefore
George and Carmen traveled 185 kilometers by bike and 115 kilometers by bus
Answer:
In 5040 ways.
Step-by-step explanation:
To solve this problem we will use combination without repetition which means:
C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3) (9 2) (7 3) =
(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040
It can be done in 5040 ways.
God with you!!!
Answer:
The length is 72 feet.
Step-by-step explanation:
<em>Equations</em>
2L+2W=192
L=3W
<em>Solving/Substitution</em>
2(3W)+2W=192
8W=192
W=192/8=24
L=24*3=72
The length is 72 feet.
The width is 24 feet.
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Answer:
the guy wire is 7.211 ft long
Step-by-step explanation:
Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.
Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:
