Answer:
60 miles per hour
Step-by-step explanation:
Consider the structure of the wording: "miles per hour"
The word "per" means for each. There is you clue.
Each is, one of and one of is unit measurement
So the controlling element in this question is that you need to convert the 3 hours into 1 hour.
Using ratio properties
180
3
=
x
miles
1
hour
We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.
⇒
180
÷
3
3
÷
3
=
x
1
⇒
60
1
=
x
1
So the unit rate of speed is
60
miles
per
−−−
hour
Step-by-step explanation:
step 1. graph f(x) = 2x + 6
step 2. y = mx + b. (slope intercept form)
step 3. b = 6 which is the y intercept so put a dot on (0, 6) or on the y axis at 6
step 4. m = 2 so put another dot up 2 and over to the right 1 from the y intercept
step 5. draw a line through your 2 points and you are done.
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
P(x)=80/200
P(x)=0.4
3. This problem can be represented by a binomial distribution, where:
P=0.4
q=1-P=0.6
n=50
4. The expect value in a binomial function is written as below:
E(x)=nxP
E(x)=50x0.4
E(x)=20
The answer is: He can expect 20 zucchini.
Answer:
5 2/3 hours
Step-by-step explanation:
We can use a ratio to solve this problem
hours over money
4.5 hours x hours
------------- = ------------
27 dollars 34 dollars
Using cross products
4.5 * 34 = 27 * x
153 =27x
Divide each side by 27
153/27 = 27x/27
5.666666 hours
(4,3) you add 5 to the x and subtract 3 from y