Answer:
Number of Large Pizzas: 30
Number of Medium Pizzas: 8
Number of Small Pizzas: 27
Step-by-step explanation:
L = # of large Pizzas
M = # of medium Pizzas
S = # of small Pizzas
Amount:
L = 4M - 2
S = 3M + 3
Cost:
21L + (I'm assuming you meant 14) 14M + 7S = 931
Plus in the Amounts to the Cost:
21(4M - 2) + 14M + 7(3M + 3) = 931
84M - 42 + 14M + 21M +21 = 931
Combine like terms:
119M - 21 = 931
Isolate the Variable:
119M - 21 + 21 = 931 + 21
119M = 952
119M/119 = 952/119
M = 8
Plug it into the Amount equations:
Large: L = 4(8) - 2
L = 32 - 2
L = 30
Small: S = 3M + 3
S = 3(8) + 3
S = 24 + 3
S = 27
Check your work (plug the values into Cost.):
21(30) + 14(8) + 7(27) = 931
630 + 112 + 189 = 931
931 = 931
The number of medium pizzas ordered was 10. Hence, based on the given relationships, the number of large pizzas was 38 and the number of small pizzas was 33.
To solve this problem, really, we are using three algebraic expressions that represent the total cost, the relationship between the large and medium pizzas, and the relationship between the small and medium pizzas.
We can define M as the number of medium pizzas, L as the number of large pizzas, and S as the number of small pizzas. We can then set up the following equations based on the problem:
We can substitute equations 2 and 3 into equation 1 to get a single equation in terms of M:
$21(4M-2) + $14M + $7(3M+3) = $931
Which simplifies to:
93M = 931
Then, M=10, hence, the number of medium pizzas is 10, number of large pizzas (4M-2) is 38, and the number of small pizzas (3M+3) is 33.
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Answer:
4b + 6
Step-by-step explanation:
Every variable that stands by it self is counted as one. 3b is 3b because it tells you. Since there’s two “b” variables you add them together making 3b + b= 4b and since the 6 doesn’t have a variable you don’t add it to the 4b making your final answer 4b+ 6
Here is the graph for 3x-6y=-12
greeting card. How many stickers does Duncan have left?
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
15 +13+6-3-10=21
The order for the given rule is 4, 19, and 9 if the rule is to add 15 and deduct 10 from the first term.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that, the rule of the sequence is to add 15, subtract 10 first term 4,
We have to apply the arithmeticoperation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
If the first term is 4 add 15 first and subtract 10 from it,
=4 + 15
=19
=19-10
=9
Thus, the order for the given rule is 4, 19, and 9 if the rule is to add 15 and deduct 10 from the first term.
Learn more about the sequence here:
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