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Westkost [7]
3 years ago
6

Find two consecutive integers such that the sum of one-fourth of the first and one-fifth of the second is 11. PLS ANSWER.​

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

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Find the difference of(ab+8a+1)-(-6ab+4)
vagabundo [1.1K]
Hey there!

When finding the difference of expressions like these, there's a few things you should keep in mind. 

1. When finding the difference of two polynomials, multiply the polynomial that implied to be "negative" by –1 to expand the problem and make it easier to solve. 

2. You combine terms based on their unknown terms, like x, y, x², ab, etc. You cannot combine the terms x and x², but you can combine the terms 6b and 8b by adding them. 

3. You can rearrange your terms however you see fit. If a polynomial is implied as "positive", you can multiply that entire polynomial by +1 to get rid of the parentheses. 

With all that in mind, you can go ahead and solve for your difference, like so:

(ab+8a+1)-(-6ab+4)

(ab+8a+1) (-1(-6ab+4))

(ab+8a+1) + (6ab-4)

ab+6ab+8a+1-4

7ab+8a-3

7ab+8a-3 will be your difference. 

Hope this helped you out! :-)
8 0
3 years ago
The function f(x) varies inversely with x and f(x)=8 when x=3
Sedaia [141]

Answer:

12

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

For x=3 -----> f(x)=8

so

Find the value of k

f(x)*x=k

substitute the value of x and f(x)

8*3=k

k=24

therefore

the equation is equal to

f(x)=24/x

For x=2 -------> substitute in the equation and find the value of f(x)

f(x)=24/2=12

6 0
3 years ago
Read 2 more answers
An operations analyst counted the number of arrivals per minute at an ATM in each of 30 randomly chosen minutes. The results wer
liraira [26]

Step-by-step explanation:

since Poisson distribution parameter is not given so we have to estimate it from the sample data. The average number of of arrivals per minute at an ATM is

\hat{\lambda}=\bar{x}=\frac{\sum x}{n}=\frac{30}{30}=1

So probabaility for \mathrm{X}=1 is

P(X=1)=\frac{e^{-\lambda} \lambda^{x}}{x !}=\frac{e^{-1} \cdot 1^{1}}{1 !}=0.3679

So expected frequency for X=1 is 0.3679^{*} 30=11.037 (or \left.11.04\right) .

8 0
3 years ago
The sum of a number is<br> 4 less then 2 times a<br> number is 35 what is the number?
Artist 52 [7]
<h2>Answer:</h2>

<em>21.5</em>

<h2>Step-by-step explanation:</h2>
  1. 35 divided by 2 = 17.5
  2. 17.5 + 4 = 21.5
  3. <u>Just do the inverse</u>
5 0
2 years ago
Curtis is twice as old as his brother Jonathan. Olivia is six years younger than Jonathan. The sum of their ages is 58 years.
liraira [26]
C=2 times j
c=2j
o=j-6
c+j+o=58

subsitte j-6 for o and 2j for c

2j+j+j-6=58
4j-6=58
add 6 to both sides
4j=64
divide both sides by 4
j=16

sub back


c=2j
c=2(16)
c=32

o=j-6
o=16-6
o=10


curtis=32
olivia=10
jonathan=16

equations are
c+j+o=58
c=2j
o=j-6
7 0
3 years ago
Read 2 more answers
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