At the State Fair you buy 4 combo meals for you and your three friends. Each meal comes with 3 chicken tenders and 2 fried Oreos. How many chicken tenders and fried Oreos do you buy all together? How could you set up and solve this problem using the Distributive Property?
To solve the problem using the Distributive Property, we can first find the total number of chicken tenders and fried Oreos in one combo meal, and then multiply it by the number of combo meals.
In one combo meal, there are 3 chicken tenders and 2 fried Oreos.
To find the total number of chicken tenders and Oreos in all four combo meals, we can use the Distributive Property by multiplying:
(3 chicken tenders + 2 fried Oreos) x 4 combo meals
Using the Distributive Property, we can multiply each term inside the parentheses separately:
3 chicken tenders x 4 combo meals = 12 chicken tenders
2 fried Oreos x 4 combo meals = 8 fried Oreos
Therefore, all together, you buy 12 chicken tenders and 8 fried Oreos.
Part 1: At the State Fair it costs $2.75 for a corndog and $3.50 for a funnel cake. How much would it cost for you to order "c" corndogs and "f" funnel cakes? Show how to set this up as an algebraic expression. Part 2: You and your three friends want to order 2 corndogs and 1 funnel cake each. Solve to find out how much it would cost all-together. Part 3: Explain how you solved Part 2.
Part 1: To set up this problem as an algebraic expression, we can use the prices of the corndog and funnel cake and multiply them by the respective quantities.
The cost of "c" corndogs would be 2.75*c.
The cost of "f" funnel cakes would be 3.50*f.
Part 2: To find the total cost of ordering 2 corndogs and 1 funnel cake each, we need to multiply the cost of each item by the quantity.
The cost of 2 corndogs would be 2.75*2 = $5.50.
The cost of 1 funnel cake would be 3.50*1 = $3.50.
Since there are four people, the total cost would be:
(2.75*2)*4 (cost of corndogs for each person multiplied by 4) + 3.50*4 (cost of funnel cake for each person multiplied by 4)
Part 3: To solve Part 2, we multiply the cost of corndogs for each person by 4 since there are four people. Then, we add the cost of funnel cake for each person multiplied by 4. This gives us the total cost for all four people.
You and your three friends are going to the State Fair. It costs $5 per person for admission into the fair and $3 for each ride. Which algebraic expression represents the TOTAL amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides?
To find the total amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides, we need to calculate the cost of admission for four people and the cost of the rides.
The cost of admission for four people is $5 per person. So, the cost of admission for four people is 5 * 4 = 20.
The cost of each ride is $3. So, the cost of "x" number of rides is 3 * x = 3x.
To find the total cost, we add the cost of admission and the cost of the rides:
Total cost = Cost of admission + Cost of rides
Total cost = 20 + 3x
Therefore, the algebraic expression that represents the total amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides is 20 + 3x.
At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!)
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we can combine like terms.
First, let's simplify the terms with "h":
(3/4h + 7/8h) - (1/2g + 3/4g)
To add fractions, we need to find a common denominator. The common denominator for 4 and 8 is 8.
Now, let's apply the common denominator and simplify the fractions:
((6/8)h + (7/8)h) - (1/2g + 6/8g)
(13/8)h - (14/8)g
We can also simplify the coefficients:
(13/8)h - (14/8)g
(13h - 14g)/8
Therefore, the simplified expression is:
(13h - 14g)/8
could you dumb it down
Certainly! Let's simplify the expression step-by-step:
First, we have the term (3/4h - 1/2g).
- It means that for each bean bag you get on the target, you earn 3/4 of a point, but for each bean bag that does not land on the target, you lose 1/2 of a point.
Next, we have the term (7/8h - 3/4g).
- It means that for each bean bag you get on the target, you earn 7/8 of a point, but for each bean bag that does not land on the target, you lose 3/4 of a point.
Now, let's combine these two terms by adding them together:
(3/4h - 1/2g) + (7/8h - 3/4g)
To add fractions, we need a common denominator. In this case, the common denominator is 8.
Now let's simplify:
(6/8h + 7/8h) - (4/8g + 6/8g)
Adding the terms with "h":
(13/8)h - (10/8)g
Simplifying the coefficients:
(13h - 10g)/8
So, the simplified expression is:
(13h - 10g)/8