A student is solving a system of equations by substitution and comes up with the solution 3=3. Assuming that he solved the problem correctly, which of the following can be said about this system of equations?A) The system has exactly 1 solution.
B) The system has exactly 2 solutions.
C) The system has infinitely many solutions.
D) The system has no solution.

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Answers

Answer 1
Answer: The answer to this is d

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If 5t = 3p what is the ratio of t to p

Answers

For the given expression 5t = 3p, the value of the ratio of t to p is 3:5.

Let's begin by examining the given equation: 5t = 3p.

This equation tells us that 5 times t is equal to 3 times p. To find the ratio of t to p, we need to isolate t on one side of the equation.

Step 1: Divide both sides of the equation by 5 to isolate t:

5t / 5 = 3p / 5

t = (3/5) * p

Now, we have an expression for t in terms of p. This means that for any given value of p, we can find the corresponding value of t using the equation t = (3/5) * p.

Step 2: To find the ratio of t to p, we divide t by p:

t/p = [(3/5) * p] / p

Step 3: Simplify the expression:

t/p = 3/5

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All you have to do is put it in fraction form, this is the answer: 5/t=3/p

Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan. If Savannah and Sebastian are twins, which equation may be used to determine the age of all three people?A) 8x = 24
B) 24 + 2x = 5x
C) 24 + 5x = x
D) 24 + x = 5x

Answers

Answer:

The correct answer is D) 24 + x = 5x

Step-by-step explanation:

Since they are twins, we know they are the same age. Since Savannah is 24 years older than Ryan, we can model it as 24 + x, where x is Ryan's age.

Since Sebastian is five times as old as Ryan, we can model it as 5x.

Now, we can set them equal to each other.

24 + x = 5x

There is a line that includes the point (-1, -1) and has a slope of 0. What is its equation in slope-intercept form?

Answers

Answer:

y=-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx +b where m is the slope and b is the y intercept

We know the slope is zero

y = 0x+ b

Substituting the values for x=-1 and y=-1 from the point we are given

-1 =0 +b

b=-1

Putting this into the original equation

y = 0x+-1

y=-1

There are 3 rivers and after each river lies a grave. So there are 3 rivers and 3 graves. A man wants to leave the SAME amount of flowers at each grave, and be left with none at the end. What happens though is that each time he passes through one of the rivers the number of flowers he has doubles. So he has to start off with what number of flowers, taking into consideration that they double, so that he is left with no flowers whatsoever at the end?

Answers

I've had a problem similar to this before. He should start out with 0 flowers. He would have 2 flowers at the first one, so he would put one on the first grave then have one for the second. When he gets to the second, he puts down one flower and the last flower on the 3rd grave.
he will start out with no flowers because then it will double at each river so 2x3=6
6/3=2 per grave

A box contains 100 colored chips; some are violet and some are red. Wilson chooses a chip at random, records the color, and places it back in the bag. Wilson has recorded 9 violet chips and 16 red chips. Using these results, what is the predicted number of violet chips in the box?11
25
36
75

Answers

The predicted number of violet chips in the box is 36

What Do you mean by Probability ?

Probability is a stream in maths which is useful in prediction of likeliness of an event to happen.

It has a range of 0 to 1, where 0 means unlikeliness and 1 indicates certainty.

Probability Formula = f/n

where,

f is the number of times an event occurs

n is the total number of trials

It is given in the question that

A box contains 100 colored chips

Wilson records 9 violet chips and 16 red ones.

So from a sample of 25 chips, 9 are violet.

So violet probability of violet chips out of 25 = 9/25.

To find the number of violet chips in the box

a proportion has to be made

9/25 = v/ 100

v= 36

Therefore the predicted number of violet chips in the box is 36

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Answer: 36

Step-by-step explanation:

Wilson records 9 violet chips and 16 red ones.

So from a sample of 25 chips, 9 are violet.

So violet probability out of 25 = 9/25.

If we make a proportion we find how many violet chips out of 100 = 36

9/25 = ?/ 100

?= 36

What is the equation of a line that has a slope of -3 and passes through (-2,6)

Answers

It has to do with equation of a straight line and I hope it helps