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aivan3 [116]
3 years ago
8

Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?

Mathematics
2 answers:
zlopas [31]3 years ago
3 0
The oldest friend is 17 years old. 15+16+17. 5+6=11+7=18. 18+10+10+10= 48. get my level B) jk
Ksenya-84 [330]3 years ago
3 0
"The sum of their ages is 48" means x + (x + 1) + (x + 2) = 48 

<span>x + x + 1 + x + 2 = 48 </span>

<span>x + x + x + 1 + 2 = 48 </span>

<span>3x + 3 = 48 </span>

<span>3x = 48 - 3 </span>

<span>3x = 45 </span>

<span>x = 45/3 = 15 </span>

<span>So if the youngest is 15 (x = 15), then the oldest is x + 2 or 15 + 2 = 17</span>
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a) As the constants are equal, the situation represents a proportional relationship.

b) The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the constants for each situation are:

k = 30/45 = (30/15)/(45/15) = 2/3 = 20/30.

Since the constants are equal, the situation represents a proportional relationship.

The constant of 2/3 cupcakes per minute means that in a minute, 2/3 of a cupcake is made.

More can be learned about proportional relationships at brainly.com/question/10424180

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Do alto de um farol cuja altura é de 20 m avista se um navio sob ângulo de depressão de 30°. A que distância , aproximadamente,
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Solve for x.
x</span><span>√3=20
divide both sides by </span><span>√3.
x=20/(</span><span><span>√3)
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7 0
4 years ago
Use exponents to write 81 three different ways.
nlexa [21]
Answer:.81 , 81%,81/100
5 0
3 years ago
A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41).
aniked [119]

\frac{(x-h)^{2} }{a^{2} } - \frac{(y - k)^{2} }{b^{2} } = 1

\frac{(x-0)^{2} }{40^{2} } - \frac{(y - 0)^{2} }{b^{2} } = 1

a² + b² = c²

40² + b² = 41²

         b² = 41² - 40²

         b² = 1681 - 1600

         b² = 81

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slope (m) of asymptote = +/-\frac{y}{x} = +/-\frac{b}{a} = +/-\frac{9}{40}

y-intercept (b) = 0 since the center is at the origin

Answer: y = \frac{9}{40}x and y = -\frac{9}{40}x

7 0
3 years ago
Read 2 more answers
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