Answer:
6x - 9 = y
x - (-1.5)
x - (-1.5) = y
Step-by-step explanation:
9514 1404 393
Answer:
C. (1, -1)
Step-by-step explanation:
Dilation by a factor of 1/3 multiplies each coordinate value by 1/3.
(x, y) ⇒ (x/3, y/3)
K(3, -3) ⇒ K'(3/3, -3/3) = K'(1, -1)
Hey John
Let's start solving #1
x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2
Next, let's solve the second one
Simplifies to:
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7
Let me know if you have questions about the answer.
Best of luck with your studies!
Answer:
Terrence's
Step-by-step explanation:
The length of the square that will be cut out is the height of the box.
1. a
Anya's method: 8.5 -1.5 =7, 11- 1.5 =9.5, the height is 1.5, so the volume is height x length x width which is 1.5 x 9.5 x 7 =99.75 squared inches.
Terrence's method: 8.5-3 = 5.5, 11-3 = 8. Vol= 5.5 x 8 x 3 =132 squared inches. 99.75 < 132 squared inches, Terrence's idea would create larger volume.
1. b
The box's size depends on the length/width/height of the cardboard being cut, which is why different measurements / cutting methods for the same size cardboard can result in different box sizes.
2. The square would be cut from all four corners, therefore the sum of the 2 squares on the cardboard cannot exceed the short side of the cardboard. The shorter side of the cardboard is 8.5 inches, divided by 2 = 4.25 inches, hence the squares cannot be larger than 4.25 inches. Keep in mind that if you cut exactly 4.25 inches you will have a strip of 2.5 inches width that cannot be turned into a box.
If you want to cut 5 inches squares out, depending on how you draw it, it would either overlap or go outside of the paper because 5+5 is ten, surely on the 11 inches side that would still be perfectly fine but for the 8.5 inches side, there isn't any room for the 10 inches.
Answer:
$618.95 rounded up. 0.004c
£388.09 on rent and $230.84 food
We can round up and state $619 to nearest tenth.
Or leave as non rounded Total $618.93
Step-by-step explanation:
27% of 1,437.40=388.09
1,437.40 - 388.09 = 1049.31
22% of 1049.31 = 230.8482
$230,84 Shown here, as not round up or down as 230.84 as £388.09 was not rounded up from 388.098.
= $618.95 rounded up. 0.004c
