The Acute Angles Of An Isosceles Triangle Never Add Up To 90°.
Answer:
60 in = 240 ft
Step-by-step explanation:
240/4 = 60
—
15 x 4 = 60
9 x 4 = 36
60 x 4 = 240
13 x 4 = 52
Hey there!
<em>C = 0.25x + 40</em>
(a) For this part we solve for C when x = 240. Substitute 240 in for x.
C = 0.25(240) + 40
Multiply 240 by 0.25.
C = 60 + 40
Add.
C = 100
The cost is $100.
<u>Check</u>
100 = 0.25(240) + 40
100 = 60 + 40
100 = 100
(b) For this part we solve for x when C = 180. Substitute 180 for C.
180 = 0.25x + 40
Subtract 40 from each side.
140 = 0.25x
Divide each side by 0.25.
560 = x
This person drove 560 miles.
<u>Check</u>
180 = 0.25(560) + 40
180 = 140 + 40
180 = 180
(c) For this we must make an inequality with C = 150.
Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.
C ≥ 0.25x + 40
Substitute 150 for C. Solve for x.
150 ≥ 0.25x + 40
Subtract 40 from each side.
110 ≥ 0.25x
Divide each side by 0.25.
440 ≥ x
The max number of miles they can drive is 440.
<u>Check</u>
150 ≥ 0.25(440) + 40
150 ≥ 110 + 40
150 ≥ 150
Hope this helps!
Answer:
The total number of registered doctors was 167,722.
Step-by-step explanation:
Total number of doctors:
The total number of doctors is given by x.
31.6% of all registered doctors were female. 53,000 female doctors.
This means that:
What was the total number of registered doctors?
We have to solve the above equation for x. So
The total number of registered doctors was 167,722.
The probabilities are:
- P(red) = 5/24
- P(orange) = 0
- P(blue) = 1/3
- P(not green)= 17/24
- P(green or black) = 11/24
- P(not yellow) = 1.
<h3>
How to find the probabilities?</h3>
The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.
Here we have:
- 5 red marbles.
- 7 green marbles.
- 4 black marbles.
- 8 blue marbles.
So the total number is 5 + 7 + 4 + 8 = 24.
Then:
- P(red) = 5/24
- P(orange) = 0/24 = 0 (because there are 0 orange marbles).
- P(blue) = 8/24 = 1/3
- P(not green) = (24 - 7)/24 = 17/24
- P(green or black) = (4 + 7)/24 = 11/24
- P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).
If you want to learn more about probability, you can read:
brainly.com/question/251701
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