MATHEMATICS HIGH SCHOOL

Which of the following is a perfect square? A)154 B)169 C)279 D)115

Answers

Answer 1

Answer: A) 154 because it's an even number

Answer 2

Answer:

Step-by-step explanation:

Multiply two of the same will give you a perfect square like 13 x 13 is 169

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What is the sum of the quotients of 25x^2/5x and the quotient of 8x^2/x

Answers

If you would like to solve (25 * x^2) / (5 * x) + (8 * x^2) / x, you can calculate this using the following steps:

(25 * x^2) / (5 * x) + (8 * x^2) / x = 5 * x + 8 * x = 13 * x

The correct result would be 13 * x.

2loga(3)+loga(5)=loga(x)

Answers

$2log_a(3)+log_a(5)=log_a(x)\ \ \ \ a>0\ \ and\ \ a \neq 1\ \ \ \ \ \ \ D=(0;+\infty) \n\nlog_a(3^2)+log_a(5)=log_a(x)\n\nlog_a(9\cdot5)=log_ax\ \ \ \Leftrightarrow\ \ \ x=45\ \ \in\ D\n\nAns.\ x=45$

1+4=5 2+5=12. 3+6=21. 8+11=?

Answers

Hi there this is a puzzle question. So lets get to the answer. If 1+4=5 then we take 1+(4*1)=5. 2+5=12 so lets take 2+(5*2)=12. 3+6=21 so lets take 3+(6*3)=21. After all of this you should probably know now that I multiplied the first number with the second number then added both of the numbers. So, 8+11=8+(11*8)=8+88=96. Therefore, the answer is 96.

In a certain café, all sandwiches are priced the same. A customer ordered 3 sandwiches and 2 drinks for $14.70. Another customer bought 2 sandwiches and 4 drinks for $13.30. Find the cost of one sandwich and the cost of one drink, if the cost of each drink is the same price. a) Sandwich: $3.50, Drink: $2.35 b) Sandwich: $2.35, Drink: $3.50 c) Sandwich: $3.25, Drink: $2.10 d) Sandwich: $2.10, Drink: $3.25

Answers

Answer:

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

Final answer:

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.

Explanation:

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.

Learn more about System of equations here:

brainly.com/question/21620502

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Domain of root(3-2x)+root(1-x)