Answer: 6630
Step-by-step explanation:
Given , Number of documentaries = 17
Number of children's movies = 20
Total movies = 17+20=37
Number of combinations of r things taken out of things = 
Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary
= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)
Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .
Answer:
Let's solve your system of equations by elimination.
8x+9y=48;12x+5y=21
Steps:
Multiply the first equation by 5,and multiply the second equation by -9.
5(8x+9y=48)
−9(12x+5y=21)
Becomes:
40x+45y=240
−108x−45y=−189
Add these equations to eliminate y:
−68x=51
Then solve−68x=51for x:
−68x
/−68
=
51
/−68 (Divide both sides by -68)
x= −3
/4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
8x+9y=48
Substitute
−3
/4
8x+9y=48:
8(
−3
/4
)+9y=48
9y−6=48 (Simplify both sides of the equation)
9y−6+6=48+6 (Add 6 to both sides)
9y=54
9y
/9 = 54
/9 (Divide both sides by 9) y=6
<em><u>Answer: x= −3
/4 and y=6</u></em>
Hope This Helps! Have A Nice Day!!
Answer:
There are 6 boxes
Step-by-step explanation:
We know there are 45 frames and 3 broken ones, so there are 48 frames in total.
We know there are 8 boxes that have the frames.
let x equal the amount of picture frames in a box
8x=48
8x/8 = 48/8
x=6
Amount Daisy plans to spend on food is $625
Step-by-step explanation:
- Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room
Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750
- Step 2: Calculate the remaining amount.
Remaining amount = $5000 - $3750 = $1250
- Step 3: Calculate the amount Daisy plans to spend on food
Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625
