time * rate = distance
Downstream 4 * x = 4(x)
Upstream 6 * x - 2 = 6(x - 2)
distance downstream = distance upstream:
4(x) = 6(x - 2)
4x = 6x - 12
-2x = -12
x = 6
Distance Upstream: 4x = 4(6) = 24
Distance Upstream: 6(x - 2) = 6(6 - 2) = 6(4) = 24
Total distance traveled is Upstream + Downstream = 24 + 24 = 48
Answer: 48 miles
Answer:
q=24
Step-by-step explanation:
the opposite of division is multiplication so 4x6=24. then you check this by of course imputing your answer into the equation. 24 ÷ 6 =4
Answer:
The measure of the third angle is a 90 degrees
Step-by-step explanation:
Let
A and B ----> two complementary angles in a triangle
C ---> the measure of the third angle in a triangle
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
---> equation A
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
----> equation B
substitute equation A in equation B

solve for C
subtract 90 degrees both sides


therefore
we have a right triangle
Answer:
The answer is D. 7
Step-by-step explanation:
the degree of polynomial is 7
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards