-2/3a+5/6a-1/6 simplify

Answer:

hi there

-6

Step-by-step explanation:

x=-6

Final Answer: [tex]x = -6[/tex]

Steps/Reasons/Explanation:

Question: What is [tex]\frac{1}{3} (x + 15) = 3[/tex]?

Step 1: Simplify [tex]\frac{1}{3}(x + 15)[/tex] to [tex]\frac{x+15}{3}[/tex].

[tex]\frac{x + 15}{3} = 3[/tex]

Step 2: Multiply both sides by [tex]3[/tex].

[tex]x + 15 = 3[/tex] × [tex]3[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]3[/tex] to [tex]9[/tex].

[tex]x + 15 = 9[/tex]

Step 4: Subtract [tex]15[/tex] from both sides.

[tex]x = 9 - 15[/tex]

Step 5: Simplify [tex]9 - 15[/tex] to [tex]-6[/tex].

[tex]x = -6[/tex]

~I hope I helped you :)~

Answer:

Step-by-step explanation:

A and C

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

For more information, refer to the link given below:

https://brainly.com/question/20982963

Answer:

12(7 - 3)

Step-by-step explanation:

All the other do not equal anything.

Answer:

x = -9

Step-by-step explanation:

Applying midsegment theorem, we would have the following:

CB = ½(RT)

CB = x + 19

RT = x + 29

Plug in the values

x + 19 = ½(x + 29)

2(x + 19) = x + 29

2x + 38 = x + 29

Collect like terms

2x - x = -38 + 29

x = -9

Answer:

$30

Step-by-step explanation:

2000 x .015 = 30

The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

For this case, we're specified that:

Thus, we get the amount of interest as:

[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]

Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

Learn more about compound interest here:

https://brainly.com/question/11897800

#SPJ2

Answer:

-0.89

Hope I helped

Answer:

-3 1/3

Step-by-step explanation:

Answer:

Is Something supposed to be attached?

Step-by-step explanation:

Answer:

C or D definitely not A or B bc it is too close of a number to 24.75 for 15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You want to find out how much it would be for 15 boxes

(5 , 11.25)

this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)

so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.

I have done this problem in my class and it is a believe me!

Step-by-step explanation:

y = 7x + 1

Slope - Intercept Form

Step-by-step explanation:

Radius of the conical part = radius of cylindrical part r=

2

3

m

Slant height of the cone l=2.8 m

Height of the cylinder, h=2.1 m

Canvas needed to make the tent = Curved surface area of the conical part + curved surface area of the cylindrical part.

Curved surface area of conical part = πrl=

7

22

×

2

3

×2.8=13.2

Curved surface area of cylindrical part =2πrh=2×

7

22

×

2

3

×2.1=19.8

Total surface area = Curved surface area of conical part + Curved surface area of cylindrical part

=13.2+19.8=33 m

2

Cost of 1 m

2

canvas = Rs. 500

Cost of 33 m

2

canvas =33×500=16500

Therefore, it will cost Rs. 16500 for making such a tent.

Answer:

x=6

Step-by-step explanation:

work is shown in picture

Answer:

-14x + 6

Step-by-step explanation:

-12x + 6 - 2x

-14x + 6

Answer:

The farmers believed in the principal of federalism

Step-by-step explanation:

edge 2020

The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.

The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.

The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.

Read more on https://brainly.com/question/12623993?referrer=searchResults

Answer:

dumyemimynumifgmfdhum

Answer:

240 days

Step-by-step explanation:

Create an equation where x represents the total number of days

Use the information that 40 days is 1/6 of the total:

40 = 1/6x

Now, solve for x:

40 = 1/6x

Multiply both sides by 6, since it is the reciprocal of 1/6

40 = 1/6x

240 = x

So, the total number of days he has to record data is 240 days.

Answer:

16:60 = 4/15

Step-by-step explanation:

Answer:

a=2

b=14

Step-by-step explanation:

Step-by-step explanation:

a=2b=14.................

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Answer:

Yes

Step-by-step explanation:

Yes, that is exactly what Sarah did wrong. Apparently, she tried to divide both the numerator and denominator in this problem by 2 (half) but divided the numerator incorrectly. 26 divided by 2 would equal 13 but Sarah mistakenly calculated it as 14 which would give her a totally different value when divided by the new denominator. If were to have divided correctly it would give her [tex]\frac{13}{4}[/tex] which is the same as [tex]\frac{26}{8}[/tex]

Answer: x ≥ 17

Step-by-step explanation:

We know that she worked 7 hours at a dinner, for $10 per hour last week.

Then in the last week, she did make:

7*$10 = $70

Now she babysits, she wins $8 per hour, then if she works x hours, she will win:

w(x) = $8*x

if we add the $70 that she already had, we have:

$70 + $8*x

And we know that she wants to have, at least, $206, then we can write the inequality.

$70 + $8*x ≥ $206.

Now let's solve this for x.

first, we can subtract $70 in both sides:

($70 + $8*x) - $70 ≥ $206 - $70

$8*x ≥ $136

now we can divide by $8 in both sides:

($8*x)/$8 ≥ $136/$8

x ≥ 17

This means that she must babysit for at least 17 hours if she wants to buy the dress.

Answer: C

Step-by-step explanation:

Answer:

25/4

Step-by-step explanation:

[tex] \bigg( - \frac{5}{2} \bigg)^{2} = \bigg( \frac{5}{2} \bigg)^{2} = \frac{ {5}^{2} }{ {2}^{2} } = \frac{25}{4} \\ [/tex]

Answer:

The answer is "0.36".

Step-by-step explanation:

we assume, that they are not blood-relatives, then we need both the dates (birth and death)

Births between 1512 and 2012 may occur at any time, and all of the math forms are what we have to be born at least 100 years apart.

Pr(Mathematician 1 is born inside an interval of 1512-2012 on a particular year)= [tex]\frac{1}{50000}[/tex])

Mathematician 2 born in 1512-2012 interval on every specific year) = [tex]\frac{1}{50000}[/tex]

S Year of birth'

After that, We need to find all of the years of absolute value (birth the year Mathematician 1-birth year of Mathematician 2) <= 100 or give the probability of this happening.

Prob(Mathematician 1 birth between 1512-2012 in a specific group of 100 years):

[tex]\to \frac{100}{500}=\frac{1}{5}[/tex]

For just a mathematician, are using the same rationale 2.

By using fact for freedom now Pr(that the dual births are divided by 100 years)) = 1-Pr(they are divided by more than 100 years):

[tex]\to 1- (\frac{400}{500})^2 \\\\\to 1- (\frac{4}{5})^2 \\\\\to 1- \frac{16}{25}\\\\\to \frac{25 -16}{25}\\\\\to \frac{9}{25}\\\\\to 0.36[/tex]

Answer:

its pog

Step-by-step explanation:

Answer:

stop cheating on ur WRMS ALgebra 1 math test

Step-by-step explanation:

ik where u live

Answer:

y=1x+4 is the answer :))))

Answer:

y = x + 4

Step-by-step explanation:

slope intercept equation: y = mx + b

m = slope

b = y-intercept(when x =0)

use the points given; (0,4) and m = 1

to find b

y = mx + b

4 = 1(0) + b

4 = b

now put your equation together.

y = 1x + 4

or y = x + 4