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Salsk061 [2.6K]
2 years ago
15

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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A=74-72/2.0

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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.
Butoxors [25]

Answer:

14.2 ft

Step-by-step explanation:

tan 66° = 32/ FD

FD = 32 / tan 66° = 32 / 2.246 = 14.2

7 0
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
umka21 [38]

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  4.24 km

Step-by-step explanation:

The x-component of the displacement after the turn is ...

  d2·cos(θ) = (3.38 km)cos(65.3°) ≈ 1.41239 km

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4 0
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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The answer is 250 and 400.






7 0
3 years ago
Helpppppp meeeeeeeeeeeee
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
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