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Arte-miy333 [17]
3 years ago
8

Find 3 numbers in a geometrical sequence if:

Mathematics
1 answer:
wolverine [178]3 years ago
4 0

a1+a2+a3=21

(a1=1,a2=3,a3=7)

a1xa2xa3=64

(a1=2,a2=4,a3=8)

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Working together, it takes 2 computers 12 minutes to send out emails. If it takes the slower 30 minutes to the job on its own, h
artcher [175]

Answer:

The faster computer can do the job in 20 mins on it own.

Step-by-step explanation:

Given:

Time taken by slower computer to do job on its own =30 minutes.

Time taken by both the computers to do the job = 12 mins.

We need to find the Time taken by faster computer to do job on its own.

Solution:

Let the the Time taken by faster computer to do job on its own be 'x'.

Now we know that;

Rate to complete the job is equal to number of jobs divided by time taken to complete the job.

Rate of faster computer = \frac1x

Rate of slower computer = \frac{1}{30}

Rate of both the computers = \frac{1}{12}

Now we can say that;

Rate of both the computers is equal to sum of Rate of faster computer and Rate of slower computer.

framing in equation form we get;

\frac{1}{12}=\frac{1}{30}+\frac{1}{x}\\\\\frac{1}{x} = \frac{1}{12}-\frac{1}{30}

Now we will take the LCM to make the denominator common we get;

\frac{1}{x}=\frac{5}{12\times5}-\frac{2}{30\times2}\\\\\frac1x=\frac{5}{60}-\frac{2}{60}

Now denominator are same so we will solve the numerator.

\frac1x=\frac{5-2}{60}\\\\\frac1x=\frac{3}{60}\\\\\frac1x=\frac{1}{20}\\\\x=20\ mins

Hence The faster computer can do the job in 20 mins on it own.

4 0
3 years ago
What is the area of the rectangle?
allochka39001 [22]
Based on estimation, it should be the fourth choice. Hope this helps!!!
3 0
3 years ago
Please answer this question. FOLLOW ALL OF THE INSTRUCTIONS to get the right anser please. THANK YOU!
Alexus [3.1K]
A) It says in fraction form. y=5/4x +15
b) it says it should be a decimal. If you extend the line, it will reach 15.5 hours.
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7 0
3 years ago
QUESTION 5 What is the area of the trapezoid?
mr Goodwill [35]

Answer:

126 in^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 12+16)*9

A = 1/2 (28) *9

  = 126

7 0
4 years ago
Read 2 more answers
A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
4 years ago
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