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Hoochie [10]
2 years ago
14

Monica makes at most three times as much as George serving yogurt at the local yogurt shop. If Monica makes $5.50 per hour, what

is an inequality for the amount of money George makes?
Mathematics
2 answers:
MrMuchimi2 years ago
7 0
$1.83 i’m pretty sure
Arisa [49]2 years ago
4 0

Answer: George makes $1.83. (Remainder 1)

Step-by-step explanation: First, since Monica makes three times as much as George serving yogurt at the local shop, divide $ 5.50 by 3. You should get $ 1.83, remainder 1. So, George makes about $1.83 serving yogurt. I hope this helps!

You might be interested in
Suppose that v is an eigenvector of matrix A with eigenvalue λA, and it is also an eigenvector of matrix B with eigenvalue λB. (
galben [10]

Answer:

(a) Yes, λ_{A}+λ_{B}

(b) Yes, λ_{A}λ_{B}

Step-by-step explanation:

First, lets understand what are eigenvectors and eigenvalues?

Note: I am using the notation λ_{A} to denote Lambda(A) sign.

v is an eigenvector of matrix A with eigenvalue λ_{A}

v is also eigenvector of matrix B with eigenvalue λ_{B}

So we can write this in equation form as

Av=λ_{A}v

So what does this equation say?

When you multiply any vector by A they do change their direction. any vector  that is in the same direction as of Av, then this v  is called the eigenvector of A. Av is λ_{A} times the original v. The number λ_{A} is the eigenvalue of A.

λ_{A} this number is very important and tells us what is happening when we multiply Av. Is it shrinking or expanding or reversed or something else?

It tells us everything we need to know!

Bonus:

By the way you can find out the eigenvalue of Av by using the following equation:

det(A-λI)=0

where I is identity matrix of the size of same as A.

Now lets come to the solution!

(a) Show that v is an eigenvector of A + B and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(A+B)(v)=Av+Bv=(λ_{A})v + (λ_{B})v=(λ_{A}+λ_{B})(v)

so,  (A+B)(v)=(λ_{A}+λ_{B})(v)

which means that v is also an eigenvector of A+B and the associated eigenvalues are λ_{A}+λ_{B}

(b) Show that v is an eigenvector of AB and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(AB)(v)=A(Bv)=A(λ_{B})=λ_{B}(Av)=λ_{B}λ_{A}(v)=λ_{A}λ_{B}(v)

so,  

(AB)(v)=λ_{A}λ_{B}(v)

which means that v is also an eigenvector of AB and the associated eigenvalues are λ_{A}λ_{B}

5 0
2 years ago
3 feet= ? inches. what is it? TwT
9966 [12]

Answer:

36 inches

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Max weighs 40 pounds less than his brother Together they weigh 280 pounds how much does his brother weight
Ierofanga [76]

Answer:

He weighs 240 pounds

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
NEEED HELPPPP TRYING NOT TO FAIL MATHH !!
Oliga [24]
The answer is C hope it helped
3 0
2 years ago
Cassie is a half pound of sugar in her cabinet her cake recipe calls for two tenths of a pound of sugar how many cakes can she m
mamaluj [8]
The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
                                                                                                   = 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
                                                                        = 5/2
                                                                        = 2 1/2
So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.
7 0
3 years ago
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