Find the percent of change. Round to the nearest percent. Original: 25 new: 18

Tracy is finding the equation of a median-median line. She found that the equation of the line through the first and third summa

rodikova [14]

<span>1) Find the equation of the line that passes through (x1, y1) and (x3, y3).
We have it: </span>y = 0.4x + 38<span>2) Find the equation of the line parallel to the previous line that passes through (x2, y2).
</span><span>That is: y = 0.4x + 59
</span><span>3) Find the weighted average of the
y-intercepts. b=(b1+b2+b1)/3 = (38+59+38)/3
b= 45
The median-median line is the line parallel to the previous two lines with the weighted y-intercept.Hence, Y = 0.4 x + 45 is the answer</span>

7 0

3 years ago

A researcher randomly samples 222 high school students to determine their favorite color and whether or not they played a sport.

Murrr4er [49]

Answer: 36/104

There are 104 students that play sports and only 36 out of 104 students has the favorite color blue, green, or purple.

Step-by-step explanation:

7 0

3 years ago

A motorcycle and a car leave an intersection at the same time. the motorcycle heads north at an average speed of 20 miles per h

satela [25.4K]

First, determine the distance of the motorcycle and the car from the start point. The distance could be determined using
$\boxed{d=v \times t}$
d stands for distance, v stands for speed, t stands for time

The car
d = 48 × t
d = 48t

The motorcycle
d = 20 × t
d = 20t

At the end of t hours, the car is 48t miles (east) from the start point and the motorcycle is 20t miles (north) from the start point.

Second, determine the distance between 48t miles at east and 20t miles at north using pythagoras
distance = $\sqrt{(48t)^{2}+(20t)^{2}}$
distance = $\sqrt{2304t^{2}+400t^{2}}$
distance = $\sqrt{2704t^{2}}$
distance = 52t

The expression for their distance apart at the end of t hours is 52t

7 0

3 years ago

A triangular banner has an area 1500 square feet. Find the measures of the base and height of the triangle if the base is five-s

erastova [34]

Answer:

base: 50 ft
height: 60 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh

Filling in the numbers you are given, you get ...

1500 = (1/2)(5/6h)(h)

3600 = h^2 . . . . . . . . . multiply by 12/5

60 = h . . . . . . . . . . . . . .square root

b = 5/6·60 = 50 . . . . . . base is 5/6 of height

The measures of the base and height are 50 ft and 60 ft, respectively.

4 0

3 years ago

Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp and do the order of operation

umka21 [38]

Answer:

<h3>The answer is 7/12.</h3>

Step-by-step explanation:

$( \frac{2}{3} - \frac{1}{4} ) + ( \frac{1}{2} \times \frac{1}{3} )$

Solve the terms in the bracket first

That's find the LCM of the ones which are subtracting

LCM of 3 and 4 is 12

That's

$\frac{2}{3} - \frac{1}{4} = \frac{8 - 3}{12} = \frac{5}{12}$

Next multiply the other terms in the other bracket

That's

$\frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$

Add both results

That's

$\frac{5}{12} + \frac{1}{6}$

Find the LCM

The LCM is 12

We get the final answer as

$\frac{5}{12} + \frac{1}{6} = \frac{5 + 2}{12} = \frac{7}{12}$

Hope this helps you

5 0

3 years ago