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2 years ago

The ages of three siblings are consecutive integers. The sum of their ages is 42. Calculate their ages. *

Mathematics

1 answer:

stealth61 [152]2 years ago

8 0

Answer:

13, 14, 15

Step-by-step explanation:

Let x = age of one of the siblings

Since the age of the siblings are consecutive integers, the age of the next sibling would be x + 1 and the age of the third sibling would be x + 2

x +( x +1) + (x +2) = 42

3x + 3 = 42

collect like terms and solve for x

x = 13

The age of the first sibling is 13

The age of the second sibling is x + 1 = 13 + 1 = 14

The age of the third sibling is x + 2 = 13 + 2 = 15

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In ΔDEF, the measure of ∠F=90°, the measure of ∠D=66°, and EF = 32 feet. Find the length of FD to the nearest tenth of a foot.

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3 years ago

A car travels 2.83 km in the x-direction, then turns left 65.3 ◦ to the original direction and travels an additional distance of

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3 years ago

Find two positive numbers if their ratio is 8:5 and the difference is 150.

natima [27]

Let's call the two numbers x and y. We can write a system of equations to describe the situation:

5x = 8y

x - y = 150

Let's solve the first equation for x:

x = 8y/5

Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:

(8y/5) - y = 150

Simplify:

3y/5 = 150

3y = 750

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If y = 250, then x is:

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7 0

3 years ago

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denis23 [38]

Answer:

81000 people went to Bonnaroo.

192000 people went to Lollapalooza.

Step-by-step explanation:

Given:

Total number of people attending festivals, $N=273000$

Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.

Unknown:

Number of people attending Lollapalooza and Bonnaroo.

Let the number of people attending Bonnaroo be $x$ .

Therefore, the number of people attending Lollapalooza is equal to $30000+2x$

Evaluate:

Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

$x+30000+2x=N\\3x+30000=273000\\3x=273000-30000\\3x=243000\\x=\frac{243000}{3}=81000$

Substitute and Solve:

Now, we have, $x=81000$ .

Substitute 81000 for $x$ and solve for the number of people attending both the festivals. This gives,

Number of people attending Bonnaroo = $x=81000$

Number of people attending Lollapalooza = $30000+2x=30000+2(81000)=30000+162000=192000$

Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.

8 0

3 years ago