Correct description of (2x+5)^2

What is the upper quartile of the data set shown?

IrinaK [193]

Answer:

12,13,15,16 i believe

Step-by-step explanation:

6 0

3 years ago

Will give BRAINLEST :)

DiKsa [7]

Answer:

A

Step-by-step explanation:

This explanation mostly depends on what you're learning right now. The first way would be to convert this matrix to a system of equations like this.

g + t + k = 90

g + 2t - k = 55

-g - t + 3k = 30

Then you solve using normal methods of substitution or elimination. It seems to me that elimination is the quickest method.

g + t + k = 90

-g - t + 3k = 30

____________

0 + 0 + 4k = 120

4k = 120

k = 30

No you can plug this into the first two equations

g + t + (30) = 90

g + t = 60

and

g + 2t - (30) = 55

g + 2t = 85

now use elimination again by multiplying the first equation by -1

g + 2t = 85

-g - t = -60

_________

0 + t = 25

t = 25

Now plug those both back into one of the equations. I'll just do the first one.

g + (25) + (30) = 90

g = 35

Therefore, we know that Ted spent the least amount of time on the computer.

The second method is using matrix reduction and getting the matrix in the row echelon form, therefore solving using the gauss jordan method. If you would like me to go through this instead, please leave a comment.

3 0

3 years ago

Greg and Erin start at the same point and begin running in different directions. Greg is running east at a speed of 7 miles per

AveGali [126]

Answer: The time at which the distance between the two is 150 miles is 1.3 hr.

Step-by-step explanation:

Step 1: Sketch the problem as shown in the attached image.

The problem can be solved using Pythagoras theorem since the sketch is a right angled triangle.

It follows the equation x² + y² = 15².

The distance covered by Greg is given by x mi, and that of Erin is given by y mi.

Step 2: To derive the distance covered by Erin and Greg, we use the formula Speed = distance ÷ time.

Which by cross-multiplying gives distance = speed × time.

Let time taken to cover the distance be t h.

Given that Speed of Erin is 9 mph and that of Greg is 7 mph.

Hence, distance covered by Greg, x = 7 × t = 7t.

Distance covered by Erin, y = 9 × t = 9t.

Step 3: Insert the terms x and y into the Pythagoras equation x² + y² = 15² and solve for time t.

(7t)² + (9t)² = 15²

49t² + 81t² = 225

(49 + 81)t² = 225

t² = 225/(49 + 81)

t² = 225/130

t² = 1.730769231

t = √1.730769231

t = 1.315587029

t = 1.3hr

Hence the time at which the distance between the two is 150 miles is 1.3 hr.

4 0

3 years ago

Ricardo bought a bicycle for $98.00. He sold it to his friend Sandy for 5/6

svet-max [94.6K]

Answer:

Ricardo bought it for $98.00

Sandy bought it for $81.66 [5/6×98]

Jennifer bought it for $48.99. [ 3/5×81.66]

3 0

4 years ago

What is the value of x

amm1812

Answer:

x=123

Step-by-step explanation:

x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.

x=123

Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees

57*x=180

Subtract 57 from both sides to get x by itself.

x=123

6 0

3 years ago