Answer:
$16
Step-by-step explanation:
Gary has $4. (given)
Mary has twice as many dollars as Gary, so Mary has 2×$4 = $8.
Larry has 4 fewer dollars than Mary, so Larry has $8 -4 = $4.
Gary, Mary, and Larry together have $4 +8 +4 = $16.
Answer:
Step-by-step explanation:
Given
Cost of Textbooks ---- Frequency
$25 up to $35 ----- 2
$35 up to $45 ------- 5
$45 up to $55 ------- 7
$55 up to $65 ------ 20
$65 up to $75 ---- -- 16
Required
Determine the relative class frequency for the $25 up to $35 class
First, we need to get the total frequency
Next, is to write out the frequency of $25 up to $35 class
Divide this frequency by the total frequency; This gives the relative frequency
Hence;
Option D answers the question
Here are the steps.
In order to get the answer, first we need to get the x and y value of the center of the circle by using the equation of a circle (x^2 + y^2 = r^2)
<span>The center is (-9, -4)</span>
Once you get the center point, find the equation of the line (in a form of a radius) from the center point to point (2, -1). Get the slope.
The slope from center to point (2, -1) is 11/3
Finally, get the negative reciprocal of the slope from the previous step and form the equation using slope-intercept form ( y=mx + b). Then, that's the equation of the tangent line.
The slope of the tangent line is -3/11
The equation is y = -3/11x - 5/11
Answer:
17
125
Step-by-step explanation:
exterior angle is equal to sum of interior opposite angle. so
( 2x + 6 ) + ( 5x ) = ( 8x - 11 )
7x + 6 = 8x - 11
x = 17
exterior angle = ( 8 * 17 ) - 11 = 125
Answer:
n = 5, n = -7/2
Step-by-step explanation:
2n + 5 = l
n - 4 = w
A = l × w = 15
(2n + 5)(n-4) = 15
2n^2 - 8n + 5n - 20 = 15
2n^2 -3n - 35 = 0
(2n + 7)(n - 5) = 0
2n + 7 = 0 or n - 5 = 0
n = -7/2 or n = 5
