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lara [203]
3 years ago
6

Three brothers have ages that are consecutive even integers the product of the first & third boys ages is 20 more than twice

the seconds boy age.find the age of each of the boys
Mathematics
1 answer:
Agata [3.3K]3 years ago
5 0
Let's say X is the first brother's age
x+2 is second brother, and x+4 is the third brother
Since the product of the first and third boy x(x+4) is 20 more than twice (20+x(x+2), our equation is x(x+4)=20+2(x+2)
Simplify from there and see what you get.
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Oxana [17]

Answer:

1.

d. (-14) + (-8)

2.

a. (-14) + 8

Step-by-step explanation:

(-14) - 8 is equal to (-14) + (-8) because we still add two negative values so the result wouldn't change.

(-14) - (-8) is equal to (-14) + 8 because there's two negative sign in front of 8 and two negative values multiplied makes a positive result.

6 0
3 years ago
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Which of the following angle pairs best describes angles 6 and 4 in the graphic below?
andriy [413]
Answer: Choice C) Same-side interior angles

------------------------------------------------------------------------------

Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal  lines (line a and line b). Combine this and this is why the two angles are same-side interior angles

Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.
8 0
3 years ago
Compare the fraction 1:24,000 to the fraction 1:3,168,000; which is the largest rational number
gulaghasi [49]

Answer:

\frac{1}{24,000}

Step-by-step explanation:

we know that

When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator

In this problem we have

\frac{1}{24,000}  and   \frac{1}{3,168,000}

Both numerator are equal

Compare the denominators

24,000 < 3,168,000

therefore

\frac{1}{24,000}  is the largest rational number

7 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center
deff fn [24]

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

(\dfrac{a+c}{2},\dfrac{b+d}{2}) .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})

Comparing both coordinate :

\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23

and

\dfrac{y-10}{2}=0\\\\y=10

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

3 0
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