Answer:
Barbara's speed in clear weather is 
and in the thunderstorm is 
.
Step-by-step explanation:
Let 
be the speed and 
be the time Barbara drives in clear weather, and let 
be the speed and 
be the time she drives in the thunderstorm.
Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,
(1). 
Also,
(2). 
(3). 
,
and
(4). 
From equations (2) and (3) we get:
putting these in equation (4) we get:
and substituting for from equation (1) we get:
This equation can be rewritten as
which has solutions
We take the first solution 
because it gives a positive value for 
.
Thus, Barbara's speed in clear weather is and in the thunderstorm is .
Answer:
x = -2
y = - 5
Step-by-step explanation:
-5y - 10x = 45
-3y + 10x = -5
------------------------Add
-8y = 40
y = -5
-3(-5) + 10x = -5
15 + 10x = -5
10x = -20
x = -2
Answer
x = -2 and y = - 5
Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number. If you add it to 0.5, then the sum is another rational number.
Answer:
1/2 or 0.5
Step-by-step explanation:
Within 1 to 6,
Even numbers are 2, 4, 6
While odd numbers are 1, 3, 5
Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,
Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards
= 3 / 6
= 1 / 2
