Answer:
1
Step-by-step explanation:
Choose two points on the line: (-5, 0) and (0, 5)
Let the first point 
= (-5, 0)
Let the second point 
= (0, 5)
Use the gradient formula:
----------------------------------------------------------------------------------------------------
If you want to find the equation of the line, use the point-gradient form of a linear equation: 
(where 
is the gradient and is a point on the line)
Substituting the values into the formula:
Therefore, the equation of the line is y = x + 5
Answer:
39 dimes
Explanation:
From the graph:
• Total number of nickels = 9+4+7=20
,
• Total number of dimes = 7+10+9 = 26
The ratio of total nickels to total dimes = 20:26
If the total number of nickels the students donate is increased to 30, we have:
We then solve for x:
The number of dimes they should donate to keep the ratio of total nickels to total dimes the same is 39.
The y's value is given in the first equation.
. Now to solve, we will, plug it's value in the second equation.
Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)
When working with very large or very small numbers, scientists, mathematicians, and engineers use scientific notation to express these quantities. Scientific notation is a mathematical abbreviation, based on the idea that it is easier to read an exponent than to count many zeros in a number. Very large or very small numbers need less space when written in scientific notation because the position values are expressed as powers of 10. Calculations with long numbers are easier to do when using scientific notation
So y=mx+b
the 'm' part means the slope which is found by 'rise/run'
a. y=2x+3 or y=2x+3
b. y=-1x+6
c. i'm not sure what this part means
d. this means 'what values will work for x and y in both equations at once so
y=-x+6 and y=2x+3
y=-x+6
add x to both sides
x+y=6
subtitute 'y=2x+3' for y in x+y=6
x+(2x+3)=6
collect like terms
3x+3=6
subtract 3 from both sides
3x=3
divide both sides by 3
x=1
sibtitue into x+y=6
1+y=6
subtract 1 from both sides
y=5
(1,5) is the solution (x,y)
Question 2
so amount of peanuts (x) =60%
ammount of almonds (y)=40%
y=2(1/3x) or y=2/3x
so there is a mixture that is8/10 almonds
for
a. i'm not sure about this one
b. so 60% of 5 pounds=3 pounds
40% of 5 pounds=2pounds
we need to find out how many pounds, times 8/10, = 2pounds
she will need 2.5 pounds of the pure peanuts and 2.5 pounds of the almond-peanut mixture
