Answer:
Option A y-3=2(x-1)
Step-by-step explanation:
we know that
The equation of a line into point slope form is equal to
y-y1=m(x-x1)
In this problem we have
(x1,y1)=(1,3)
m=2
substitute
y-3=2(x-1)
Answer:x=4
Step-by-step explanation:
To solve
10(x+1)=56-2(x-1)
Open the brackets
10x+10=56-2x+2
Collect like terms
10x+2x=56-10+2
12x=48
Divide through by 12
x=4
We can set it up like this, where <em>s </em>is the speed of the canoeist:

To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):
![s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s](https://tex.z-dn.net/?f=s%28s-5%29%5B%5Cfrac%7B18%7D%7Bs%7D%20%2B%20%5Cfrac%7B4%7D%7Bs-5%7D%20%3D%203%5D%20%5C%5C%2018%28s-5%29%2B4s%3D3s%28s-5%29%20%5C%5C%2018s%20-%2090%2B4s%3D3%20s%5E%7B2%7D%20-15s)
If we rearrange this, we can turn it into a quadratic equation and factor:

Technically, either of these solutions would work when plugged into the original equation, but I would use the second solution because it's a little "neater." We have the speed for the first part of the trip (9 mph); now we just need to subtract 5mph to get the speed for the second part of the trip.

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)
So we know there are 12 eggs and they will be distributed like this:
12=x2+y1
and 4 cups of flour:
4=1/3x+1/2y
let's see if we can find a solution in which all the materials are used:
12=x2+y1
4=1/3x+1/2y//*6
12=2x+y
24=2x+3y//*6
substract from each other:
12=2y
y=2
12=2x+y
12=2x+2
10=2x
x=5
So if nothing is wasted, he can make 5 blueberry muffins (making 12*5=60) and 2 bran muffins (2*9=18), together 78 dollars,
would it be better if instead of the bran muffins he did blueberry muffins (which are more expensive?)
for the branberry muffins he will used the double amount needed for 1: so 1 cup of oil and 2 eggs. From this he can only make 1 tray of blueberry muffins (and some oil will be left over), which will cost 12 dollars, which is less than 18
so he better make 6 blueberry and 2 bran trays