Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
Answer:
d. 3x + 6 = 26
Step-by-step explanation:
<u>Definitions</u>
- Integer: a whole number that can be positive, negative or zero.
e.g. ..., -3, -2, -1, 0, 1, 2, 3, ... - Even number: an integer that is exactly divisible by two. For example, 2, 4, 6, 8 are all positive even numbers.
- Consecutive: following one after the other in order.
<u>The sum of three consecutive even integers</u>
Let x be the first even integer.
As there is a <u>difference of 2</u> between <u>consecutive even integers</u>, the next even integer after x will be (x + 2).
Therefore, the next even integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive even integers is twenty-six" is:
x + (x + 2) + (x + 4) = 26
<u>To solve</u>
⇒ x + (x + 2) + (x + 4) = 26
⇒ x + x + 2 + x + 4 = 26
⇒ 3x + 6 = 26
(Please note that there are no three consecutive even integers that sum to 26, so the problem cannot be solved).
Answer: 
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
Where:
- The coefficients are integers.
- 
is the leading coeffcient (
)
- 
is the constant term 
Every rational root of the polynomial is in the form:
For the case of the given polynomial:
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
Answer: 1.1818^37 kg
Step-by-step explanation:
Given that:
Orbit speed = 1300 km/s
Radius (r) = 18 light days
Mass of object the star is orbiting :
Using the relation :
M = rv² / G
Where ; r = Radius in m ; v = velocity in m/s
G = 6.67 * 10^-11 = gravitational constant
18 light days in meters = 4.662 * 10^14 m
v = 1300km/s to m/s
v = (1300 * 1000)m /s = 1300000 m/s = 1.3 * 10^6 m/s
Hence ;
M = (4.662 * 10^14 * (1.3 * 10^6)^2 / (2/3) * 10^-10
M = (4.662 * 10^14) * (1.69 * 10^12) / (2/3) *10^-10
M = (7.87878 * 10^26) / 6.67 * 10^-11
= 1.1818^37 kg
