![\huge\boxed{18\ \text{points}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B18%5C%20%5Ctext%7Bpoints%7D%7D)
We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.
![x+x+1+x+2+x+3=78](https://tex.z-dn.net/?f=x%2Bx%2B1%2Bx%2B2%2Bx%2B3%3D78)
Now, simplify.
![4x+6=78](https://tex.z-dn.net/?f=4x%2B6%3D78)
Subtract
on both sides.
![\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D4x%2B6-6%26%3D78-6%5C%5C4x%26%3D72%5Cend%7Baligned%7D)
Divide both sides by
.
![\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B4x%7D%7B4%7D%26%3D%5Cfrac%7B72%7D%7B4%7D%5C%5Cx%26%3D%5Cboxed%7B18%7D%5Cend%7Baligned%7D)
Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Answer should be 3 I’m pretty sure
We know that
surface area=area of the base+4*[area of one lateral triangle side]
area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²
area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height
h=15 cm
area of one lateral triangle side=14*15/2----> 105 cm²
surface area=196+4*[105]------> 616 cm²
the answer is
the surface area is 616 cm²
-4 (5y + 5) = -120
multiply the bracket by -4
(-4)(5y)=-20y
(-4)(5)=-20
-20y-20=-120
move -20 to +20
-20y-20+20=-120+20
-20y=-120+20
-20y=-100
divide both sides by -20 to get y by itself
-20y/-20=-100/-20
Answer: y=5
+ y = -1 ⇒ y =
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope
by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
***************************************************************************************
y = 4 +
⇒ y =
+ 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
***********************************************************************************
You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution