Answer:
1 7/8 quarts
Step-by-step explanation:
The amount Yuan has left can be found by multiplying the original amount by the fraction he has left.
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<h3>used</h3>
After using 1/2 of the broth for soup, the fraction remaining is ...
1 -1/2 = 1/2
The amount Yuan used for gravy is 1/4 of this, or ...
(1/4)(1/2) = 1/8 . . . of the original amount of broth
The total fraction Yuan used was ...
fraction used = fraction for soup + fraction for broth = 1/2 +1/8 = 5/8
<h3>remaining</h3>
Then the fraction remaining is ...
fraction remaining = 1 - fraction used = 1 - 5/8 = 3/8.
The amount remaining is this fraction of the original amount:
(3/8)(5 quarts) = 15/8 quarts = 1 7/8 quarts . . . . remaining
Given,
SP~QP
SR~QR
In ∆SRP and ∆QRP
SP~QP (given)
SR~QR (given)
PR=PR (common)
Therefore,
∆SRP~∆QRP by SSS congruence rule.
Answer: (4,8) which is choice A
f = 2/3 is the scale factor
x = 6 and y = 12 pair up to get the coordinates for point K's location
multiply f by x and y to get the new location
f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4
f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8
The results we get are 4 and 8. So (6,12) moves to (4,8)
This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.
6x+3y=-9
3y = -6x - 9
y = -2x - 3 ; This line has slope = -2
Parallel lines, slope is the same so the slope of a line that is parallel to
6x+3y = - 9 is also -2
Answer
-2
