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4 years ago

The Three sides of a triangle are, n, 4n-2, 4n-7. if the perimeter of the traingle is 45cm, what is the length of each side?

Mathematics

2 answers:

kogti [31]4 years ago

4 0

Answer:

Step-by-step explanation:

stealth61 [152]4 years ago

3 0

Well to start, we need to combine like terms all the equations together , so
n+ 4n+4n = 9n
-2-7 = -9
put them together and it’s
9n - 9
the perimeter is 45 so
9n - 9 = 45
+9 +9
——————
9n = 54
——————-
9 9
Then the 9 cancels, drop down the n and divide 54/9 and you get

n = 6

and that’s the answer
to prove it
you can do
4(6) - 2 = 22
4(6) - 7 = 17
+ 6 because you just replace the n with 6
Add them...
22+17+6 = 45
and so now we know for sure the value of n is 6!

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A truck can be rented from Company A for $120 a day plus $0.80 per mile. Company B charges $50 a day plus $0.90 per mile to rent

Jlenok [28]

Answer:

700 miles driven in a day

Step-by-step explanation:

Create an equation to represent the situation, where x is the number of miles.

0.8x + 120 = 0.9x + 50

Solve for x:

120 = 0.1x + 50

70 = 0.1x

700 = x

So, the rental costs will be the same at 700 miles driven in a day.

4 0

3 years ago

Read 2 more answers

F (x) = 3r + 6. Find the inverse of f(x).

Levart [38]

Answer:

The inverse is 1/3x -2

Step-by-step explanation:

f (x) = 3x + 6

y = 3x+6

Exchange x and y

x = 3y+6

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

1/3x - 6/3 = y

1/3x -2 = y

The inverse is 1/3x -2

3 0

3 years ago

What is 4(x+2)= using distributive property

Amanda [17]

Multiply everything in the parentheses by the 4

this equals 4x + 2

since one term has a variable and ine doesnt, they cannot be combined.

3 0

3 years ago

Read 2 more answers

A researcher wants to determine whether there is a relationship between age and the number of text messages sent in a given day.

Hatshy [7]

Answer:

$ME= 2.58 \sqrt{\frac{0.8(1-0.8)}{125} +\frac{0.625 (1-0.625)}{120}}= 0.1465$

The best option would be:

d. 0.1465

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion for brand 18-25 users

$\hat p_A =\frac{100}{125}=0.8$ represent the estimated proportion for 18-25 users

$n_A=125$ is the sample size

$p_B$ represent the real population proportion for 26-35 users

$\hat p_B =\frac{75}{120}=0.625$ represent the estimated proportion for 26-35 users

$n_B=120$ is the sample size required for Brand B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And the margin of error is given by:

$ME= z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

And if we replace we got:

$ME= 2.58 \sqrt{\frac{0.8(1-0.8)}{125} +\frac{0.625 (1-0.625)}{120}}= 0.1465$

The best option would be:

d. 0.1465

8 0

3 years ago

HELP! 15 pts!

Aleks04 [339]

Answer: B

Step-by-step explanation:

To solve the system of equations, use substitution.

x+y =24

Subtract x on both sides

y=-x+24

We can now substitute -x+24 in for y in the second equation.

3x+5y=100

3x+5(-x+24)=100

Distribute the 5

3x-5x+120=100

Subtract the 120 on both sides

-2x=-20

Divide by 2 on both sides

x=10

Substitute 10 in for x in the first equation.

x+y=24

10+y=24

Subtract 10 inches on both sides

y=14

So there are 10 3point questions and 14 5 point questions, so choice B

Hope this helped!

3 0

3 years ago

The Three sides of a triangle are, n, 4n-2, 4n-7. if the perimeter of the traingle is 45cm, what is the length of each side?​

The Three sides of a triangle are, n, 4n-2, 4n-7. if the perimeter of the traingle is 45cm, what is the length of each side?