This is false. However all squares are parrallelograms.
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
10
Step-by-step explanation:
2 1/2 ÷ 1/4 reduce
5/2 × 4/1 = 20/2
20 ÷ 2 = 10 pounds of flour per sugar
(I'm not very good at math so this might be wrong)
Answer:
i. Estimated number of free throws of the best player = 0.85 * 40
ii. 34 free throws
Step-by-step explanation:
Percentage of free throws made by the best player = 85%
Percentage of free throws made by the second best player = 75%
Percentage of free throws made by the third best player = 70%
Therefore, for 40 attempts;
i. Estimated number of free throws made by the best player = 85% x 40
= 0.85 x 40
= 34
ii. Estimated number of free throws made by the second best player = 75%x 40
= 0.75 x 40
= 30
iii. Estimated number of free throws made by the third best player = 70% x 40
= 0.70 x 40
= 28
Thus, the equation that gives the estimated number of free throws is 0.85 * 40.
The best player will make about 34 free throws.
Answer:
n ≥ -17
Step-by-step explanation:
Writing a symbolic inequality, we get:
10 - 3n ≤ 61
Solve this for 3n by adding 3n to both sides of this equation:
10 ≤ 61 + 3n
Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:
-51 ≤ 3n (divide both sides by 3):
-17 ≤ n, or
n ≥ -17
