Answer:
a)
b)
Step-by-step explanation:
For this case our sample space is the 5 letters given:
And we want to find the number of three letter words can be made from the sample space with some conditions
Part a
For this case the repetition is allowed so then each time we will have 5 possibilites in order to select one letter so if we use combinatories we have:
So then we will have 125 possible combinations of 3 words letters with the 5 provided
We need to remember that
Part b
For this case the repetition is not allowed so then the possible number of possibilities are:
So then we will have 60 possible combinations of 3 words letters with the 5 provided
Answer:
The slope of the ramp is 1.
Step-by-step explanation:
See the diagram attached.
Here, AC = 15 ft. and ED = 5 ft. while AE = 10 ft.
Then, EC = (15 - 10) = 5 ft.
Now, considering the right triangle Δ EDC, if is the inclination of the ramp, then
Hence,
Therefore, the slope of the ramp is 1. (Answer)
Remember that when you are making stimates, you are going to roiund to the nearest dollar. Since $3.29 is closer to 3 dollars than four dollars, Sam should use the 3 dollars figure to estimate if he can afford 4 gallons of gas.
$3+$3+$3+$3=$12
The actual value is
, so $3 per gallon is indeed a god estimate.
We can conclude that the correct answer is: <span>
$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.</span>
Answer: -16
Step-by-step explanation:
y + 7 = -9
-9 - 7 = -16
-16 + 7 = -9
Answer:
y = 3/2 x + 3
Step-by-step explanation:
-9x + 6y = 18 is in standard form (ax + by = c).
Slope-intercept form isolates the "y" variable. It looks like this:
y = mx + b
Move anything that's not "y" to the right side. Move things in reverse BEDMAS order, using reverse operations of what you want to move.
Move -9x by doing +9x to both sides
Simplify. -9x + 9x will cancel out.
Move the "6" that multiplies with "y".
Divide each term by 6.
"y" is isolated. Simplify the rest.
Rearrange to match slope-intercept form.