Answer:
The first number is −13 and the second number is −6
Step-by-step explanation:
The first number is −13 and the second number is −6
<u>Explanation:</u>
<u>Let's let the first number be n and the second number be called m.</u>
<u>Then, from the first sentence we can write:</u>
n = m − 7
<u>and from the second sentence we can write:</u>
2n = 6m + 10
<u>Substitute m − 7 for n in the second equation and solve for m:</u>
2(m − 7) = 6m + 10
2m − 14 = 6m + 10
2m − 14 − 2m − 10 = 6m + 10 − 2m − 10
−14 −10 = 6m −2m
−24 = 4m
-24/4 = 4m/4
m= −6
<u>Now substitute −6 for m in the first equation and calculate n:</u>
n = −6 −7
n = -13
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
No.
You may see it without computations: if 12 out of 20 doctors agree, it means that a bit more than half of the doctors agree (half of the doctors would be 10 out of 20).
In the second case, exactly half of the doctors agree, since 15 if the half of 30.
So, in the first case you have than more than half the doctors agree, while in the second case exactly half of the doctors agree.
Anyway, you can obviously perform more rigorous computations as well, and you have different methods available:
You can transform both ratios to have the same denominator:
And obviously
You can check the inequality by cross multiplying denominators:
You can convert fractions to decimal numbers:
Answer:
Sum of Interior Angles = 1,440º
Each Interior Angle = 144º
Step-by-step explanation:
Sum of Interior Angles = (n − 2) × 180°
Each Interior Angle (of a Regular Polygon) = (n − 2) × 180° / n
----------------------------
10 sided regular polygon
Sum of Interior Angles = (10 − 2) × 180º
Sum of Interior Angles = 1,440º
Each Interior Angle = (10 − 2) × 180º / 10
Each Interior Angle = 144º
What three consecutive integers have a sum of 63? Which means that the first number is 20, the second number is 20 + 1 and the third number is 20 + 2. Therefore, three consecutive integers that add up to 63 are 20, 21, and 22.