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3 years ago

Three added to 4 times a number is equal to 5 less than 6 times the number. What is the number?

Mathematics

2 answers:

koban [17]3 years ago

8 0

Answer: 4

Step-by-step explanation:

Let the number be x.

Given statement :Three added to 4 times a number is equal to 5 less than 6 times the number.

Then according to the above statement, we have the following equation:-

$3+4x=6x-5$

Subtract 4x from both sides , we get

$3=2x-5$

Add 5 on both the sides , we get

$8=2x$

Divide both sides by 2 , we get

$4=x$

Hence, the number is 4.

kifflom [539]3 years ago

5 0

4x+3=6x-5
3=2x-5
8=2x
4=x

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The mean of 10 values is 19. If further 5 values are

Leokris [45]

Answer:

Step-by-step explanation:

Pretend the 10 values in the first sentence are a,b,c,d,e,f,g,h,i,j

Pretend the addition 5 values is k,l,m,n,o

So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o)/15=20

So the sum of all 15 data is a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300 since 15(20)=300

Now let's look at the first 10: We have their mean so we can write:

(a+b+c+d+e+f+g+h+i+j)/10=19

so a+b+c+d+e+f+g+h+i+j=190 since 10(19)=190

So that means using our first sum equation and our equation sum equation we have

190+k+l+m+n+o=300

k+l+m+n+o=300-190

k+l+m+n+o= 110

So the average of those 5 numbers mentioned in your problem is 110/5=22

3 0

3 years ago

()) Solve for w. W times 1/2= 7/8

nikklg [1K]

W equals 14/8 is the correct answer

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2 years ago

What are the factors of 2(x^2+4x+21)

Keith_Richards [23]

Answer:

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3 years ago

7.1.13 Question Help Use the sample data and confidence level given below to complete parts (a) through (d). A research institut

r-ruslan [8.4K]

Answer:

The Point estimate of the Population proportion E = 0.039≅0.04

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 992

and x = 570

The Population proportion

$p = \frac{x}{n} = \frac{570}{992} = 0.5745$

Step(ii):-

The point estimate of the Population proportion is determined by

$E = 2.576 \frac{\sqrt{0.574(1-0.574)} }{\sqrt{992} }$

E = 0.039≅0.04

Final answer:-

The point estimate of the Population proportion E = 0.039≅0.04

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3 years ago

In 2010, a city's population was 1,405,233 and it was decreasing at a rate of 1.1%. At this rate when will the city's population

frez [133]

The equation
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