Answer:
- First choice: <u><em>n² + n - 210 = 0</em></u>
Explanation:
1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.
2) The product of those two numbers is n × (n + 1) = n (n + 1).
3) Half of that product is n (n + 1) / 2.
And the question states that thas is equal to 105, so the equation becomes:
4) n (n + 1) / 2 = 105
Now you have to simplify that equation until you have an expression equal to one of the choices:
5) Simplification:
- Multiply both sides by 2: n (n + 1) = 210
- Distributive property on the left side: n² + n = 210
- Subtract 210 from both sides: n² + n - 210 = 0
And that is the first choice, so you have your answer.
Answer:
V= πr²h
V= 72π
V= 226.2
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
Given data
Radius r of cylinder 3
Height h of cylinder 8
We know that the volume of a cylinder is given as
V= πr²h
Substituting our given data we have
V= π3²*8
V= π9*8
V= 72π
V= 226.2
Answer:
<h2>C. $1,689.00</h2>
Step-by-step explanation:
Let the amount spent by Tim be x and the amount spent by Nikko be y
If Tim spent $55 more than 2/3 of the amount that Nikko spent for his computer, then amount spent by Tim will be x = 55+2/3 y
Since the total amount that Tim and Nikko spent for their computers was $2,870 then;
x+y = $2,870
Substituting x = 55+2/3y into the equation above, we will have;
55+2y/3 + y = 2,870
(165 + 2y)/3 + y = 2,870
(165 + 2y+3y)/3 = 2,870
cross multiply
165 + 2y+3y = 3*2870
165+5y = 8610
5y = 8610-165
5y = 8445
y = 8445/5
y = 1689
<em>Hence Nikko spent a sum of $1,689.00 on his computer.</em>
Answer:
I is clear that, the linear equation has no solution.
Step-by-step explanation:
<u>Checking the first option:</u>
<u>Checking the 2nd option:</u>
<u>Checking the 3rd option:</u>
<u>Checking the 4th option:</u>
Result:
Therefore, from the above calculations it is clear that, the linear equation
has no solution.
Answer:
11cm2
Step-by-step explanation:
11cm2x10cm2/2 = 55cm2