Answer:
141
Step-by-step explanation:
162+54-75=141
Answer:
<h2>x = 7</h2>
Step-by-step explanation:
Simplifying
x + 20 = 5x + -8
Reorder the terms:
20 + x = 5x + -8
Reorder the terms:
20 + x = -8 + 5x
Solving
20 + x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
20 + x + -5x = -8 + 5x + -5x
Combine like terms: x + -5x = -4x
20 + -4x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
20 + -4x = -8 + 0
20 + -4x = -8
Add '-20' to each side of the equation.
20 + -20 + -4x = -8 + -20
Combine like terms: 20 + -20 = 0
0 + -4x = -8 + -20
-4x = -8 + -20
Combine like terms: -8 + -20 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
Answer:
D = {-3, -2, -1, 1, 4}
R = {-5, -1, 0, 2}
Step-by-step explanation:
You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.
__
The domain is the set of x-values of the points on the graph:
D = {-3, -2, -1, 1, 4}
The range is the set of (unique) y-values of the points on the graph:
R = {-5, -1, 0, 2}
<span>Uphill distance = 1 4/5 = 9/5 = 18/10 km
Downhill Distance = 2 7/10 = 27/10 km
Total Uphill and Downhill = 18/10 + 27/10 = 45/10 = 4.5 km
Hence total level ground = Total race km - (Uphill + Downhill)
=10 - 4.5 = 5.5 km
Hence the answer is 5.5 km.</span>
Answer:
The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.
Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.
We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.
We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.
Solving for "h", we get h = LSA / (s1+s2+s3)
For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20
