Answer:
A
Step-by-step explanation:
Answer:
Additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
, 0.75, 1, 1.25, 1.5, …
Answer:
(6,1)
Step-by-step explanation:
your welcome :))
Answer:
C
Step-by-step explanation:
Let's say the cost of one sandwich is "s" and the cost of one drink is "d". From the first customer's order, we know that 3 sandwiches and 2 drinks cost $14.70. So we can write the equation: 3s + 2d = 14.70 From the second customer's order, we know that 2 sandwiches and 4 drinks cost $13.30. So we can write the equation: 2s + 4d = 13.30 Now, we can solve this system of equations to find the values of "s" and "d". Multiplying the first equation by 2 and the second equation by 3, we get: 6s + 4d = 29.40 6s + 12d = 39.90 Subtracting the first equation from the second equation, we get: 6s + 12d - (6s + 4d) = 39.90 - 29.40 Simplifying, we have: 8d = 10.50 Dividing both sides by 8, we find: d = 1.3125 Now we can substitute this value back into either of the original equations to find the value of "s". Let's use the first equation: 3s + 2(1.3125) = 14.70 Simplifying, we have: 3s + 2.625 = 14.70 Subtracting 2.625 from both sides, we find: 3s = 12.075 Dividing both sides by 3, we get: s = 4.025 So the cost of one sandwich is approximately $4.03 and the cost of one drink is approximately $1.31. Therefore, the correct answer is: c) Sandwich: $4.03, Drink: $1.31
Option (a), with the cost of a sandwich as $3.50 and a drink as $2.35, is the correct solution for this algebraic problem. This conclusion was reached by forming two equations from the information given and solving this system of equations.
This is an algebra problem where we set up two equations to solve for two variables. Let's denote the cost of a sandwich as S and the cost of a drink as D. The first equation derived from the first customer's purchase would be 3S + 2D = 14.70. The second equation from the second customer's purchase would be 2S + 4D = 13.30. To solve these equations, we could multiply the first equation by 2 and the second equation by 3 then subtract the second equation from the first. This will provide the cost of a Sandwich which can then be substituted back into either original equation to get the cost of a Drink. Once you solve this system, the answer appears as option (a): Sandwich $3.50 and Drink $2.35.
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35=5(x+9)
Answer:
x = -2
Step-by-step explanation:
B) if 56 students chose soccer as their favorite sport, find the number of students that chose baseball as their favorite sport.
Using ratios, we determine that out of 132 students, 96 chose soccer. If 56 students chose soccer, then 21 students chose baseball.
This question deals with the concept of ratios. The ratio of students who chose baseball to those who chose soccer is given as 3:8. This means that the total number of parts is 3 (for baseball) + 8 (for soccer) = 11.
A) If 132 students were surveyed, we can determine the number of students who chose soccer by first finding the value of each 'part' in the ratio. This is done by dividing the total number of students (132) by the total number of parts (11) which equals 12 students per 'part'. As soccer was chosen by 8 'parts' of students, the number of students is 8 * 12 = 96.
B) If 56 students chose soccer, represented by 8 'parts', then each 'part' corresponds to 56 / 8 = 7 students. The number of students who chose baseball, represented by 3 'parts', is then 3 * 7 = 21.
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Answer:
3x + 3
Step-by-step explanation:
(2x - 2) + (x + 5)
Combine like terms:
2x + -2 + x + 5
(2x + x) + (-2 + 5)
3x + 3
Hope you learned from this answer!