<span>The possible values are less than 4 but greater than –4.</span>
Answer:
Y = 6
Step-by-step explanation:
On the first day of ticket sales the school <em><u>sold 3 </u></em>adult ticket and <em><u>8 student </u></em>tickets for a <em><u>total of $72</u></em>. The school took in <em><u>$152</u></em> on the second day by selling<em><u> 7 adult tickets and 16 student tickets.</u></em> How much is a student ticket?
Day 1: 3x + 7y = 72
Day 2: 7x + 16y = 152
This becomes a system of equations.
3x+8y=72
3x+8y+−8y=72+−8y (Add -8y to both sides)
3x=−8y+72
3x/3 = −(8y+72)/3
X = (-8/3) y + 24
Substitute (-8/3) y + 24 for x in7x+16y=152:
7(-8/3 y + 24) + 16y = 152
-8/3 y + 168 = 152 (Simplify both sides of the equation)
-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)
-8/3 y = -16
(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)
<u><em>y = 6</em></u>
<em>If you wanted to keep going...</em>
Substitute 6f or y in x = (-8/3) y + 24
(-8/3) y + 24 = (-8/3) (6) + 24
SImplify: x = 8
<em>X = 8 and </em><u><em>Y = 6</em></u>
<u><em></em></u>
Hope this helps! <em>♥</em>
<u><em>~A.W.E.</em></u><em>S.W.A.N~</em>
Answer:
The complete tables are shown below.
The value of <em>x</em> is 70.59%.
Step-by-step explanation:
<u>Absolute frequency table:</u>
Square Rectangle Row Total
Bright 25 10 35
Off White <u>23</u> 10 <u>33</u>
Column Total <u>48</u> 20 <u>68</u>
<u>Relative frequency table</u>
Square Rectangle Row total
Row% 71.43% 28.57% 100.00%
Bright Column% 52.08% 50.00% ____
Total% 36.76% 14.71% 51.47%
Row% 69.70% 30.30% 100.00%
Off White Column% 47.92% 50.00% ___
Total% 33.83% 14.71% 48.53%
Row% ____ ____ 100.00%
Column Column% 100.00% 100.00% 100.00%
Total% <u><em>x</em></u><u> = 70.59%</u> 29.41% 100.00%

Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle = 
The area of the triangle = 
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles =
= 170
Step 2: Finding the Area of Rectangle
Area of rectangle = 
so,
Area of back rectangle =
= 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
Answer:
53.33 meters
Step-by-step explanation:
Let AB represents the height of the cliff,
( where, A is top and B is bottom ),
Also, C and D represents the shadow of the cloud and cloud in the sky respectively,
Suppose E is a point in the segment CD,
Such that,
AB = DE = 40 meters,
According to the question,


Since,




Now,



Hence,
The height of the cloud above the lake = CE + ED
