Answer:
1 donut and a bag of coffee costs $4.50
Step-by-step explanation:
Start by creating a pair of simultaneous equations.
Let
a donut.
Let
a bag of coffee.
Therefore:


There are a few ways to solve these equations. This time I'll show you the elimination method. We eliminate one of the variables to get the other variable equal to a number.
Start by multiplying one of the equations by a number so that one of the variables has the same coefficient (number at the front) as the same variable in the other equation.
I'll multiply the second equation by 2 so that the
will have a coefficient of 2 like the 1st equation.
,
.
Now we have two equations with the same coefficient of
. We can subtract the equations from each other to eliminate the
variable and leave
equal to a number.
Subtracting
and
:

Simplify to get
.
Therefore
.
Now we have one of the variables, we can find the other variable by putting the known variable back into one of the equations.
- original equation
- substituting
.
- simplifying
- re-arranging to solve for 
Therefore,
and
.
So 1 donut costs $1.50 and 1 bag of coffee costs $3.
1 donut and a bag of coffee costs $4.50
His total spending money is $90, so that is what the equations going to equal. Then he can spend $2.50 each time. So 2.50x = 90
Answer:
10 sides, 114, for each interior angle, and 36 for each exterior angle.
Step-by-step explanation:
Since the sum of all exterior angle is 360 multiply by 4 which gets you 1140. Then we know that there are 8 sides to an octagon to find the sum of all the interior angles we can multiply the number of sides minus 2 by 180. Now knowing this we can do this for an octagon which gives us 1080. Since that is close to 1140 we can play around with the numbers and we will eventually go with the number 10 we minus this by 2 and multiply by 180 to get 1140. To find the measurement of 1 interior angle we would divide that number by the sides, so 1140 by 10 to get 114 for our 1 interior measurement. to get the 1 exterior measurement we would divide 360 by the number of sides which gives us 36 since the sum of all exterior measurements equals 360. I hope this helps.
Answer:
Length Multiplied by Width
Step-by-step explanation: