I switched both sides of the equation in the very beginning so it would be easier to solve.
5/7 simplifies to 0.714. 7/11 simplifies to 0.636. Therefore, Tim ate about 1.1224 times more cake than Ket.
Well she charged twice as much to walk large then small. Let s be small and l be large.
We we know that
l = 2s
we also know that she wants to make 100 so
xl + ys = 100
Where where x is number of large and y is number of small. it says she walked 10 small and 5 large so
5l + 10s = 100
substitute 2s for l because they are same value as shown in first equation I made
5 (2s) + 10s = 100
10s + 10s = 100
20s = 100
s = 5
we can now solve for l
l = 2s
l = 2 * 5
l = 10
So s is 5 and l is 10.
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer:
Gummy bears $3.20/lbs
Jelly beans $7.50/lbs
Step-by-step explanation:
For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):
1.8x + 0.6y = 10.26
1.2x + 1.5y = 15.09
Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)