If a car travels at a speed of 25 mi/h for t hours, then travels 45 mi/h for m hours. What does the expression 25t + 45m represent

Answers

Answer 1

Answer: The expression of 25t +45m shows the total number of miles driven at both speeds. In order to solve this equation you would need to know the total number of hours driven in order to multiply that by the appropriate speed in terms of miles per hour.

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72 raisin cookies sold of Ratio 9:1 to oatmeal cookies sold. How many cookies combined sold

Answers

•Find the amount of oatmeal cookies sold
Since the Ratio is 9:1
9=72 raisin cookies sold
1=? oatmeal cookies sold
Using cross multiplication
?=(72x1)/9=8
Hence, 8 oatmeal cookies were sold.
•Find the amount of combined cookies sold
72+8=80
So, a total of 80 cookies were sold.

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

Find out more on equation at: brainly.com/question/2972832

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What is the discriminant of the given equation ?X^2-2x+2+0
a)-12
b)8
c)-4
d)-8

Answers

∆= b^2 - 4ac

where b= -2
a=1
c=2

therefore: 2^2 - 4 x 1 x 2
= 4 - 4 x 2
= 4 - 8
= -4

What is greatest to least 1.001,1.1,1.403,1.078

Answers

1.403, 1.1, 1.078, 1.001

From greatest to least, 1.403, 1.1, 1.078, 1.001This can be seen easier by putting zeros at the end of some numbers, but you don't have to. Example: 1.403, 1.100, 1.078, 1.001

Alice make 2 bunches of balloons turre are the same Numbers of red balloons and the same Numbers of blue ballons in each did sirve use all of the ballons