The solution to the expression (-0.75x + 6) -(2.5x -1.9) is -3.25x + 7.9
From the question, we have the following parameters that can be used in our computation:
(-0.75x + 6) -(2.5x -1.9)
Open teh brackets
So, we have
(-0.75x + 6) -(2.5x -1.9) = -0.75x + 6 -2.5x + 1.9
Evaluate the like terms
So, we have
(-0.75x + 6) -(2.5x -1.9) = -3.25x + 7.9
Hence, the solution is -3.25x + 7.9
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problem given: (-0.75x + 6) -(2.5x -1.9)
distribute: -0.75x+6 -2.5x-1.9
combine like terms: -0.75x-2.5x= -3.25x ; 1.9+6=7.6
solution: -3.25x+7.6
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:
The winner of biggest loser would be Antone.
Step-by-step explanation:
the weight lost by each individual would be = ( initial weight of the individual)-(final weight of the individual)
therefore weight lost by Courtney will be 270-176=94.
weight lost by Patrick will be 387-296= 91.
weight lost by Antone will be = 447-298 = 149.
therefore The winner of biggest loser would be Antone.
Answer:
250 students
Step-by-step explanation:
Another way of saying this is:
40% of all six-grade students are 100 of them.
So,
40% of total is equal to 100
We can translate this into an algebraic equation and solve for the total number of students.
Let total number of students be "t"
Also, note "of" means "multiplication" and "is" means "equal"
Lets translate word equation to algebraic:
"40% of total is equal to 100"
40% * t = 100
Converting percentage to decimal by dividing by 100, we have:
40% = 40/100 = 0.4
Now, we have:
0.4 * t = 100
We can now solve for t:
Hence,
the total number of students is 250
Answer:
250 students
Step-by-step explanation: