32-n*470=? There’s 32 people and you subtract the n amount that couldn’t donate then multiply by 470
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8
Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108
Y= 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8
X = 1.75
To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Hope that helps! Have a good day :)
Answer:
1 / 51
Step-by-step explanation:
Given that :
Number of cards in a deck = 52
Number of heart suit = 13
Number of kings = 4
Recall:
Probability = (required outcome / Total possible outcomes)
P(first card is king) = 4/52 = 1/13
P(second card is heart) = 13/51
Hence,
P(first card is king) * P(second card is heart)
(1/ 13) * (13/51) = 13 / 663 = 1/ 51
Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
The given ratio of the sides of the triangles is 4:10:7. Let the sides be 4x, 10x and 7x .
And given perimeter is 252 meters .
Perimeter is the sum of all sides. So we get
Dividing both sides by 21
So the sides are
