Answer:
I. First number, a = 40.
II. Second number, b = 50.
III. Third number, c = 120.
Step-by-step explanation:
Let the three numbers be a, b and c respectively.
Given the following data;
Translating the word problem into an algebraic equation, we have;
a + b + c = 210
b = a + 10
c = 3a
Substituting the value of b and c into the equation, we have;
a + a + 10 + 3a = 210
5a + 10 = 210
5a = 210 - 10
5a = 200
a = 200/5
<em>a = 40</em>
To find the value of b;
b = a + 10
b = 40 + 10
<em>b = 50</em>
To find c
c = 3a
c = 3*40
<em>c = 120</em>
Answer:
Answer: (7,-2)
Step-by-step explanation:
Look at the formula
1) (x – h)^2 + (y – k)^2 = r2
the center is described by (h,k)
now look at
(x – 7)^2 + (y +2)^2 = 25
here h=7
but k= -2 because is (y+2) =(y-(-2))
<h3>
Answer:</h3>
See the attached
<h3>
Step-by-step explanation:</h3>
When you square the binomial (a -b), you get ...
... (a -b)² = a² -2ab +b²
That is, both the a² and b² terms have positive signs, and the middle term is twice the product of the roots of the squared terms.
The last two selections have negative signs on the constant, so cannot be perfect square trinomials.
The first selection has a middle term that is -ab, not -2ab, so it is not a perfect square trinomial, either.
The second selection is the correct one:
... 4a² -20a +25 = (2a +5)²

<h3><u>Distance travelled each day is</u> : </h3>
<h3><u>Explanation</u> : </h3>
Distance travelled in 14 days is : 456.4 km
And if he travels same Distance each day, so let the Distance travelled on each day be x
According to question ~



So, he travels 32.6 km per day
Answer:
<h2>
a) 0.38</h2><h2>
b) 0.62</h2><h2>
c) 0.78</h2><h2>
d) 0.03</h2><h2>
e) 0.02</h2><h2>
f) 0.62</h2><h2>
g) 0.38</h2>
Step-by-step explanation:
a)
Probability of a owner to be moved =
= 0.379 ≅ 0.38
b)
Probability of a renter to be moved =
= 0.62
c)
Probability of a person who moved in the same state =
= 0.779 ≅ 0.78
d)
Probability of a person who moved to a different country =
= 0.033 ≅0.03
e)
Probability of a owner who moved to a different country =
= 0.02
f)
Probability of a renter moving in the same state =
= 0.615 ≅ 0.62
g)
Probability of an owner moved to different state =
≅0.38