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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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Step-by-step explanation:

5 0
3 years ago
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In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. C
aliya0001 [1]

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

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6 0
3 years ago
At the city Museum child admission is $5.30 and adult admission is $9.30 on Sunday 146 tickets were sold for a total sales of $1
DerKrebs [107]

Answer:

The number of child tickets is 53

And adult tickets sold out is 93

Step-by-step explanation:

Let the child tickets be x

And the adult tickets be y

x+y = 146 - - - - - - - 1

x= 146-y

5.3x + 9.3y= 1145.80 - - - - - 2

We can substitute x= 146-y in equation 2

5.3(146-y) + 9.3y= 1145.80 - -- 2

773.8 - 5.3y +9.3y = 1145.80

773.8+4y= 1145.80

4y= 1145.80-773.8

4y= 372

y= 372/4

y= 93

We can now substitute y= 93 in equation 1 to find x

x+ 93= 146

x= 146-93

x= 53

Hence

The number of child tickets is 53

And adult tickets sold out is 93

6 0
3 years ago
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Rainbow [258]

Answer:

Arc ECG is the major arc

Step-by-step explanation:

Arc ECG is made by an angle which is greater than 180°.

All the other arcs listed are made by angles which are 180° or less than.

The greater the angle measure the greater the arc length.

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Answer:

most likely has to run 13 miles southeast or 5 miles east and  8 west  

Step-by-step explanation:

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