9. Simplify 1/2 (4a + b) - 1/4 (4a + b)

А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b

Answers

Answer 1

B: a+ 1/4b Hope this helps!

Answer 2

B. [tex]a + \frac{1}{4} b[/tex] ✅

Step-by-step explanation:

[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]


Related Questions

How many thirds are equal to 2/6? please explain using an equation.​

Answers

Answer:

How many thirds are equal to 2/6?

1/3 = 1/3

2/6 = 1/3

3/9 = 1/3

4/12 = 1/3

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.  

Have a great rest of your day/night!

1 thirds

divide 2/6 by 2 and you get 1/3. or multiply 1/3 by two and you get 2/6.

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?

Answers

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

please help

thank you​

Answers

Answer:

Step-by-step explanation:

-4<n≤5

Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok

Answers

Answer:

Look at the image.

Step-by-step explanation:

Which expression is NOT equal to 28?
A (9 + 25 = 5) x 2
B. [(13 – 4x2) – 1] x 7
C. 42 = 6 + 28 = 4
D. 7 [8 - (12 - 4x 2)]

Answers

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

2,144.66 miles³

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(8³)

v = 2,144.6605848506

Rounded

2,144.66 miles³

I got 17157.28 ,,,,,

suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?

A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits

Answers

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?​

Answers

Multipuly po ba (15;000 7%)

Help Please?! ?????????????

Answers

Answer:

Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.

Step-by-step explanation:

To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?

Answers

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio

Answers

Complete Question

A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)

Answer:

 [tex]X=0.0984[/tex]

Step-by-step explanation:

From the question we are told that:

Temperature T=500 K

Energy of state 1 [tex]E_1=4.1e-20 J[/tex],

Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]

Generally the equation for Probability of finding the system in state is mathematically given by

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Therefore

For Probability of finding the system in state 1 [tex]P(1)[/tex]

 [tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]

Where

   K is Boltzmann constant

   [tex]K=1.38*10^{-23}[/tex]

 [tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]

For Probability of finding the system in state 1 [tex]P(2)[/tex]

 [tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]

Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by

 [tex]X=\frac{P(2)}{p(1)}[/tex]

 [tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]

 [tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]

 [tex]X=0.0984[/tex]

Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?

Answers

Answer:

3.333 hours

Step-by-step explanation:

Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so

30 = D(boat 1) + D(boat 2)

30 = (S1 * T) + (S2 * T)

30 = 3T + 6T

30 = 9T

3.333 = T

if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab

pls solve and give the explanation​

Answers

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Is 5pi/3 the same as 5/3 radians?

Best answer gets brainliest!!

Answers

Hey hope you have a great day today

The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is

Answers

Answer:

a. 880

Step-by-step explanation:

Options are "a. 880 b. 90 c. 790 d. None of these choices"

Interval estimate of between 790 and 970 books checked out per day.

Lower limit is 790, Upper limit is 970

Point estimate of μ(x) = [Upper limit + Lower limit} / 2

Point estimate of μ(x) = [970 + 790] / 2

Point estimate of μ(x) = 1760/2

Point estimate of μ(x) = 880

So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.

Find the surface area of the rectangular prism (type the number
only)
2.6
4.2 ft
6.8 ft
HELP

Answers

74.256 I think . If rounded put 74.3

Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?

-8, 2), 2


(2, -8), 2


(8, -2), 2


(-2, 8), 2

Answers

I think it would be (2,-8),2

Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375

Answers

Well the answer is 3,375

PLEASE HELP ME IT'S MY LAST GRADE​

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

plzzzzz help me i have no clue​

Answers

Answer: Maybe a

Step-by-step explanation:

I mean it is confusing but still look over it

Answer:

The bottom one looks correct

Step-by-step explanation:

Any number from 1-infinity will make that true

What is the area of the polygon?

Answers

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles

Answers

Answer:

the probability that they are assigned adjacent cubicles is  1 ÷ 4

Step-by-step explanation:

Given that

There is 8 new graduates are hired

2 of the graduates are bill and cathy

And, each one is assigned on random basis

We need to find out the probability

So,

= (2) (7!) ÷ (8!)

= (2) ÷ (8)

= 1 ÷ 4

Hence, the probability that they are assigned adjacent cubicles is  1 ÷ 4

The same would be relevant

The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.

Region Number of counties
North Central 1052
North East 210
South 1376
West 418

Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.

Answers

Solution :

From the table,

Number of countries = [tex]$N_i$[/tex]

Mean = [tex]$\overline Y_i$[/tex]

Standard deviation = [tex]$\sigma_i$[/tex]

Margin of error of B = 50,000 acres

So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].

Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex]  is given by :

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

Let us complete the numerator

[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]

                [tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]

                = 453329920

The bound on the error of estimation is B = 50,000 acres

Hence we get

[tex]$D=\frac{B^2}{H}$[/tex]

  [tex]$=\frac{50000^2}{4}$[/tex]

  = 625,000,000

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

  [tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]

 = 220.24044

≈ 221 (approximately)

Therefore, the sample size under the proportional allocation from each stratum are given by :

[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1052}{3056}\right]$[/tex]

   ≈ 76

[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{210}{3056}\right]$[/tex]

   ≈ 15

[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1376}{3056}\right]$[/tex]

   ≈ 100

[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{418}{3056}\right]$[/tex]

   ≈ 30

Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.

We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.

-61=-3(1-5p)+4(-8-7p)

Answers

Answer: hello! have a good day! :)))

P = 2

The Smiths painted their house blue. The complete predicate of this sentence is _____.

Smiths
the Smiths

Answers

the smiths but i am not sure

PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME

NO FAKE LINKS OR YOU WILL BE REPORTED

Answers

Answer:

Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)

Jeffrey is correct :)

Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.

Answers

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

which of the following represents the equality for the sum of 11 and Y is greater than -33​

Answers

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

Evaluate 4y if y = 3

Answers

Answer:

12

Step-by-step explanation:

y = 3 so

4 × 3 = 12

The value of 4y at y=3 is 12.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Expression : 4y

Now, we have to put y= 3

So, 4y

= 4(3)

= 12

Hence, the value of 4y at y=3 is 12

Learn more about Equation here:

https://brainly.com/question/10413253

#SPJ2

Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder​

Answers

Answer :12 feet
Explanation :(x)^2=(11.5)^2+(3.5)^2
X^2=132.25+12.25
X^2=144.5 then square root it
X=12 feet

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

To know more about the approximation value

https://brainly.com/question/29580932

#SPJ2

Other Questions
Each square represents 1 whole. Which of the following are represented by the model shown? Select the three correct answers. Help please!Which of the following sentences would most likely be found in theconclusion paragraph of an argumentative essay? help, pleaseA study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741the function b(x), models the estimated tuition, where x is the number of years since 2015complete the expression for the function b(x) Help help help help help help A rancher has a rectangular sheep pen that is 3 meters long and 2 meters wide. The rancher plans to increase both the length and the width of the pen by x meters so that the new area of the pen will be 20 square meters? NO LINKS PLEASEEXPLANATION REQUIREDI WILL GIVE BRAINLIESTDONT MINF MY PRO CROPPING. DEFF.ALSO ITS NOT C Which of the following shots sends the ball high above an opponent and lands near the baseline?lobsky rocketvolleyserve PLS HELP!!!Find the area of the triangle below.Be sure to include the correct unit in your answer.6 yd13 yd17 yd Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margots trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster? ANSWER FASTWhich of the following places did Justinian I reconquer? (4 points)AlexandriaBabylonMassiliaTripolia need help asap will give brainlyest You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question? Find the perimeter of the triangle in terms of b.Im marking branliest Who was the leader of the Soviet Union in the 1980's? What was Benito Mussolini political career????? What percentage of your DNA do you get from either parent ? Explain. Cornelius Lely plan created a_____________ a freshwater lake b salt water lake c the largest reservoir Can some explain how to do this? 1. The radius of the circular base of a cylinder tank is 0.7 m and its height is 5 m. What isits surface area??A. 20.5572 sqmB. 22.5072 sqmC. 25.0572 sqm D. 27.05522. An ice cream cone has a radius of 7 cm and a slant height of 10 cm. What is its surfacearea?A. 337.66 sq cm B.373.66 sq cm C.376.36 sq cmD. 376.66 sq cmhelp, it's just 1-3 :( with solution please :(3. A cubical wooden box has a surface area of 600 square cm. What is the measurementof eachedge?B. 6 cmC. 10 cmA. 5 cmD. 100 cm I NEED AN ANSWER ASAP!! Why did the US continue to intervene in African countries?