Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
−2x+y=5
Step 1: Add 2x to both sides.
−2x+y+2x=5+2x
y=2x+5
Answer:
Scruffy is
inches longer than Fluffy.
Step-by-step explanation:
Length of Scruffy =
inches
Length of Fluffy =
inches
We have to calculate how much Scruffy is longer than Fluffy.
Difference of their lengths = ![10\frac{1}{4}-8\frac{1}{8}](https://tex.z-dn.net/?f=10%5Cfrac%7B1%7D%7B4%7D-8%5Cfrac%7B1%7D%7B8%7D)
= (10 - 8) + ![(\frac{1}{4}-\frac{1}{8})](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7B1%7D%7B8%7D%29)
= 2 + ![(\frac{2-1}{8})](https://tex.z-dn.net/?f=%28%5Cfrac%7B2-1%7D%7B8%7D%29)
= 2 + ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
=
inches
Therefore, Scruffy is
inches longer than Fluffy.
Answer:
Distance (d) =13.6
Step-by-step explanation:
![d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(5,-4)=(x_1,y_1)\\(-3,7)=(x_2,y_2)\\\\d=\sqrt{\left(-3-5\right)^2+\left(7-\left(-4\right)\right)^2}\\\\d=\sqrt{(-3-5)^2+(7+4)^2}\\\\d=\sqrt{(-8)^2+(11)^2}\\\\d=\sqrt{64+121}\\\\d=\sqrt{185} \\\\d = 13.60147\dots \\\\\\d =13.6](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D%5C%5C%5C%5C%285%2C-4%29%3D%28x_1%2Cy_1%29%5C%5C%28-3%2C7%29%3D%28x_2%2Cy_2%29%5C%5C%5C%5Cd%3D%5Csqrt%7B%5Cleft%28-3-5%5Cright%29%5E2%2B%5Cleft%287-%5Cleft%28-4%5Cright%29%5Cright%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%28-3-5%29%5E2%2B%287%2B4%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%28-8%29%5E2%2B%2811%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B64%2B121%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B185%7D%20%20%20%20%5C%5C%5C%5Cd%20%3D%2013.60147%5Cdots%20%5C%5C%5C%5C%5C%5Cd%20%3D13.6)
Answer:
1.26 kg.
Step-by-step explanation:
We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.
First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:
![\text{Amount of candy bought in grams}=14\times 90](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20candy%20bought%20in%20grams%7D%3D14%5Ctimes%2090)
![\text{Amount of candy bought in grams}=1260](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20candy%20bought%20in%20grams%7D%3D1260)
We know that 1 kilogram is equal to 1000 grams. To convert 1260 grams into kg, we will divide 1260 by 1000 as:
![\text{Amount of candy bought in kilograms}=\frac{1260}{1000}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20candy%20bought%20in%20kilograms%7D%3D%5Cfrac%7B1260%7D%7B1000%7D)
![\text{Amount of candy bought in kilograms}=1.26](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20candy%20bought%20in%20kilograms%7D%3D1.26)
Therefore, Mr. Snow bought 1.26 kilograms of candy.