Answer: $10.20
Step-by-step explanation:
Let's first collect the information from the word problem.
<h3><em>We are told:</em></h3>
- Bought 15 pies and 7 cake slices
- Total cost was $55.22.
- Pies cost
as much as a slice of cake
<h3><em>We need to solve for:</em></h3>
- Total cost of 1 pie and 2 cake slices
1. Create an equation/expression:
To solve the problem, we need to find the price of a pie and cake slice.
Using the information gathered, the equation is:
<em>x = the cost of the slice of cake.</em>
<em />
2. Simplify/Solve
- Great! we have the price of a slice of cake. ($4.25)
Remember that the pie is of a slice of cake, so now find the price of the pies.
Pie = 
Pie = $1.70
- Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.
3. Check your work!
<em>Check to make sure the math is done correctly!</em>
Good! It is verified that our calculations are correct.
4. Solve!
1 pie and 2 cakes cost: 
- $10.20 is our final answer!
- Hope this helped!~~ -Astro
Answer:
i think it is the second one
Step-by-step explanation:
Answer:
Parallelograms are 4 sided rectangular figures with opposites sides that are parallel.
Step-by-step explanation:
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
20 miles an hour is a slope of 20 on the miles versus hours graph.
<em>Graph equivalent ratios following a pattern of moving right 1 and up 2 from the original point. </em>
There's no grid shown. Assuming the ticks are 1 each on x and y, right one up two gives a slope of 2, not 20; check that it doesn't say "up 20". If it does check it, as written don't.
<em>Draw a line from the origin that connects all the points. </em>
Is this one of the checkables? If so CHECK ME. The line will have a constant slope of 20 mph.
Every point on the line is an equivalent ratio.
CHECK ME. Is this different than the last one? Yes, each point on the line has a constant ratio, it's 20 miles per hour.
As the line goes up, the speed increases.
The speed is the slope of the line. As we go along a line with constant slope, the speed doesn't change. Don't check.
Alexander can pick any ratio of miles per hour on the line and he will be biking at 20 mph.
Any pair (h,m) on the line through (0,0) and (1,20) will always have m/h=20mph. He can't really pick any ratio; it's always equivalent to 20mph. But as long as he picks from this line he'll be biking at 20mph, so let's CHECK THIS.
