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ExtremeBDS [4]
3 years ago
8

PLLZ HELP Lenny is 3 times older then Max. When you subtract Max's age from Lenny's age, you get 24. How old is Lenny and how ol

d is Max?
(a) Write an equation that represents the situation. Explain any variable used.

(b) Solve the equation from part (a). Show your work. State your solution as a complete sentence.
Mathematics
2 answers:
kifflom [539]3 years ago
6 0
Lenny is 36 max is 12
Sergio [31]3 years ago
3 0

Lenny is 3 times older then Max. When you subtract Max's age from Lenny's age, you get 24

Let the Lenny's age is L

Max's age is M

Lenny is 3 times older then Max

Lenny = 3 * Max

So L = 3M

When you subtract Max's age from Lenny's age, you get 24.

L - M = 24

Replace L with 3M

The equation  that represents the situation is

3M - M = 24

(b) Solve the equation

3M - M = 24

2M = 24 (Divide by 2)

M = 12

Max's age = 24

Lenny's age = 3 * 12 = 36

So Lenny's age is 36


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2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic
Artemon [7]
<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

\sf\rightarrow{20  = 2k }

\sf\rightarrow{K= \frac{20}{2} }

\sf\rightarrow{K={\color{magenta}{10}}}

<h2><u>Answer</u>:-</h2>
  • Therefore, the constant of variation is 10.
3 0
2 years ago
(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an
Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>
  • The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
  • Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1  and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) =  4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

To know more about the maxima, here

brainly.com/question/17184631

#SPJ1

4 0
1 year ago
HELPPPPPPPPPPPPPPPPPPPPPPP
nadya68 [22]

Answer:

that is a lot

Step-by-step explanation:

6 0
2 years ago
Can someone help me or take a picture of the work unless u want to type it thanks to who ever helps
m_a_m_a [10]
If you cannot read it, let me know.

3 0
3 years ago
3(x + 4) = 27 what is x
Alla [95]

Answer:

x = 5

Step-by-step explanation:

This is a simple equation if you look at it right and don't get scared by the "x."

All we need to do is figure out what times 3 = 27. We can do this easily by diving 27 by 3.

27 ÷ 3 = 9

Since our "equation" is 3(x + 4) = 27 we know whatever is in the parenthesis () has to equal to 9. We already get 4 so:

5 + 4 = 9.

3 times 9 = 27.

5 is your answer.

<u>Hope this helps and have a nice day!</u>

PS if you could mark brainliest that'd be great! I'm very close the "expert" rank. Haha, sorry I usually don't ask.

6 0
2 years ago
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