Answer:
Darlene bought more fabric
Darlene bought 3.4 yards more
Step-by-step explanation:
Darlene = 7 yards + 20% extra
= 7 yards + (20% of 7 yards)
= 7 + (20% × 7)
= 7 + (0.2 × 7)
= 7 + 1.4
= 8.4 yards
Chris = 4 yards + 25% of 4 yards
= 4 yards + (25% of 4 yards)
= 4 + (25% × 4)
= 4 + (0.25 × 4)
= 4 + 1
= 5 yards
Darlene bought more fabric
How much more?
Darlene - Chris
= 8.4 yards - 5 yards
= 3.4 yards
Darlene bought 3.4 yards more
The answer is
D 18 3
I'm pretty sure
Answer:
t=0 or t=44
Step-by-step explanation:
There are a few methods to do this, the most obvious being the use of the quadratic formula.
However, a quick check with a calculator or even your mind will reveal that 704 is divisible by 16. Thus we can solve this through factoring.
-16t(t-44)=0
Using the zero factor principle:
-16t=0 and so t=0
t-44=0 and so t=44
And thus we get the solution.
Answer:
- (3, 5), (1, 2) and (5, 1)
Step-by-step explanation:
Make three systems with pairs of lines and solve them to work out the vertices.
1) <u>Line 1 and line 2</u>
<u>Double the second equation and subtract equations:</u>
- -3x + 2y - 2(2x + y) = 1 - 2(11)
- -3x - 4x = 1 - 22
- -7x = - 21
- x = 3
<u>Find y:</u>
- 2*3 + y = 11
- 6 + y = 11
- y = 11 - 6
- y = 5
The point is (3, 5)
2) <u>Line 1 and line 3</u>
<u>Triple the second equation and add up equations:</u>
- -3x + 2y + 3(x + 4y) = 1 + 3(9)
- 2y + 12y = 1 + 27
- 14y = 28
- y = 2
<u>Find x:</u>
- x + 4*2 = 9
- x + 8 = 9
- x = 1
The point is (1, 2)
3) <u>Line 2 and line 3</u>
<u>Double the second equation and subtract the equations:</u>
- 2x + y - 2(x + 4y) = 11 - 2(9)
- y - 8y = 11 - 18
- - 7y = - 7
- y = 1
<u>Find x:</u>
- x + 4*1 = 9
- x + 4 = 9
- x = 5
The point is (5, 1)
