Answer:
(1 gallon)/(100 ft^2)
Step-by-step explanation:
(1 gallon)/(100 ft^2) is a good conversion factor. We could also use (100 ft^2)/(1 gallon), but I like the first, since the calculation is simpler:
(300ft^2)*/(1 gallon)/(100 ft^2) = 3 gallons [I like multiplication better than division, and especially here, since 300/100 is 3, if my memory is correct.
If i understand you are wanting to find the value of g
so if 2/5 of the unkown value g is equal to -14 you would find out that 1/5 g would be -7 so to find g you times -7 by 5 and get -35
g= -35
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Answer:
<h2>(n-2)(2n² - a)</h2>
Step-by-step explanation:
Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;
Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;
= 2n²(n-2) - a(n-2)
= n-2(2n² - a)
Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.
Answer:
D 36
Step-by-step explanation:
<em>Write the information algebraically</em>
c = 3a
c + a = 48
c = children, a = adults
<em>In the second sentence (in bold), we can replace c with 3a</em>
c + a = 48 → 3a + a = 48
<em>Simplify</em>
3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)
<em>We can then substitute or plug in a = 12 into the original equation:</em>
c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)
<h3>There are 36 children</h3>