Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22

Answers

Answer 1

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

Answer 2

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:


Related Questions

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not.

Answers

Answer:

Step-by-step explanation:

2+2 1,000,000,000+1,000,000,000

Answers

Answer:

22,000,000,002

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

22,000,000,002

The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining Inventory for a particular item and the
number of days that have passed since the stock was replenished.

Which type of function best models the relationship between the number of days and the inventory remaining?

Answers

Answer:

y = -2.8x +69.4

Step-by-step explanation:

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:

... y -y1 = (y2-y1)/(x2 -x1)(x -x1)

Filling in the given point values, we have ...

... y -61 = (33 -61)/(13 -3)(x -3)

Simplifying and adding 61, we get ...

... y = -2.8x +69.4

The linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

What is linear function?

A linear function refers to when the dependent variable (usually expressed by 'y') changes by a constant amount as the independent variable (usually 'x') also changes by a constant amount.

According to the given equation

We have a graph which shows the remaining inventory.

In which x represents the number of days and y represents the inventory remaining.

Let y = mx + b be the linear function which represents the relationship between the number of days and the inventory remaining.

Form the given graph if we choose two points (14, 30) and (2, 65) for finding the value of m and b.

Substitute y = 30 and x = 14 in y = mx + b

⇒ [tex]30 = m(14) + b...(i)[/tex]

Similarly,

substitute y =65 and x =2 in y = mx + b

⇒[tex]65 = 2m + b..(ii)[/tex]

From equation (i) and (ii)

[tex]m = \frac{-35}{12}[/tex]

and [tex]\frac{50}{3}[/tex]

Therefore, [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex]

Hence, the linear function which best models the relationship between the number of days and remaining inventory is [tex]y = \frac{-35}{12}x + \frac{50}{3}[/tex] .

Learn more about linear function here:

https://brainly.com/question/21107621

#SPJ2

Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?

Write your answer as two numbers separated by a colon (for example, 2:3).

Answers

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

3/7 rounded to the nearest thousand

Answers

3/7= 0.42857143
rounded to the neared thousandth, it is 0.429
The answer is 0.429
Have a great day/night

Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)

Answers

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

What is the slope of the line that passes through the points (-3,3) and (-3, 13)?

Write your answer in simplest form.

Answers

Answer:

ΔY = 10

Step-by-step explanation:



The transformation shown is a rotation.

True or False

Answers

The answer is true hshshehehhshedh

In rhombus WXYZ, if WX=15, find YZ.

Answers

Answer:

YZ=15

Step-by-step explanation:

All sides of a rhombus are equal so it would be the same length.

(ASAP) I really need help on this I have a C- in Math right now and( I NEED TO GET UP MY GRADE) plsssss

Answers

Answer:

answer is <

Step-by-step explanation:

first equation is equal to 6 and the other is equal to 7

solve for x:2a+5=11 ​

Answers

Solution:

[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]

Answer:

a = 3

Hope it helps.

Do comment if you have any query.

Graph the function
g(x)=10×3/5​

Answers

Answer:

It is a horizontal line through y-coordinate 6.

Step-by-step explanation:

Because 10*3/5=6.

PLEASE PLEASE HELP!!!!!

The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. Starting with Attempt 1, how many additional
attempts did it take to improve by 60 seconds?

Answers

Answer:

A

Step-by-step explanation:

i think it’s c bc 124-60

HELP ME PLEASEEEEEE!!!!!!!!

Answers

Answer:

probs C

Step-by-step explanation:

hope it helps

Determine what type of function is represented in the table at the
left.
A.)Linear
B.)Quadratic
C.)Exponential
D.)Absolute value

Answers

A linear

Linear is a graphing type of math and x is your domain and y [aka f(x)] is your range

-7x > 10
Solve for x

Answers

Answer:

x > -10/7

Step-by-step explanation:

divide both sides by -7 and it will be x= -10/7

Apply the distributive property to factor put the greatest common factor

250 - 150x=

Answers

Answer:

50(5-3x)

Step-by-step explanation:

250=2*5^3

150=2*3*5^2

GCF=2*5^2=50

250/50=5

150/50=3

50(5-3x)

The square of the sum of two numbers is 144 and the sum of their squares is 80. Find the numbers.(Use completing the square method)
Please help me

Answers

Answer:

Step-by-step explanation:

(x + y)^2 = 144

x^2 + y^2 = 80

----

x + y = 12 ---> y = 12 - x

x^2 + y^2 = 80

x^2 + (12-x)^2 = 80

2x^2 - 24x + 64 = 0

x^2 - 12x + 32 = 0

x = 4, x = 8

y = 8, y = 4

============================

x + y = -12 ---> y = -12 - x

x^2 + y^2 = 80

x^2 + (-12-x)^2 = 80

2x^2 + 24x + 64 = 0

x^2 + 12x + 32 = 0

x = -4, x = -8

y = -8, y = -4

-------------

One number is + or -4, the other is + or -8,

and the absolute value of the sum is 12.

Answer:

(4,8);(8,4);(-4,-8);(-8,-4)

Step-by-step explanation:

Ok, let's start writing down the two conditions:

[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]

Mumble.  The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:

[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]

At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.

Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial

[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.

[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?​

Answers

Answer:

A) 60

B) Between 3 and 4

C) [tex] \frac{160 - 60}{16} [/tex]

D) Extremely unusual.

The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160​.

The difference between Einstein's IQ and the mean :

⇒ 160 - 100 = 60

There are standard deviations between 3 and 4.

Einstein's IQ score to a Z-score:

Here,

ц = 160

σ = 16

X = 100

⇒ z-score = (X-ц )/σ

Substitute the values,

⇒ z-score = (160- 10)/16

⇒ z-score = 150/16

⇒ z-score = 9.375

If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

if i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?

explain

Answers

Answer:

4 dollars for 2 drinks (2 dollars for 1 drink)

Step-by-step explanation:

Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.

3 ÷ 6 = 2

So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D

Answer:

$4

Step-by-step explanation:

If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.

6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.

1

Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?

4

The unit rate is page(s) per hour.

Answers

Answer:

it is 11 pages per hour

Step-by-step explanation:

so if you have 11 in a hour it should be 11 pages per hour

ill give brainlist again! :( help?

Answers

Answer:

3769.91 cm³

Step-by-step explanation:

For Small Cylinder:

Volume = height × π × r²

Volume = 12 cm × π × 10² cm

Volume = 3769.91  cm³

For Large Cylinder:

Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.

Volume = (height × 2) × π × (r × 2)²

Volume = (12 × 2) × π × (10 × 2)²

Volume = 24 cm × π × 20²

Volume = 30159.29 cm³

Answer:

Below.

Step-by-step explanation:

The volume of the smallest cylinder

= πr^2h

= π*10^2*12

= 1200π cm*3.

Now as the radius and height of  the large cylinder are 2 times the radius and height of the small one

Volume of the large cylinder = 2^3  = 8 times the volume of the small one

= 8* 1200π

= 9600π cm^3.

7 2/9 + -5 1/5 =
show your work, show me how you got this answer pls double check!!!!!
D;

Answers

here you go! i hope it helps

Find the value for each variable.

Answers

Step-by-step explanation:

3x=21

x=21/3 = 7.

hope this helps.

What’s the answer to 420 - 69?

Answers

Answer:

351

Step-by-step explanation:

Answer:

420 - 69=351

Step-by-step explanation:

HOPE IT HELP

Solve for b.

8b−1=24b+4


ans = -7

Answers

Answer:

Step-by-step explanation:

yeah your answer was wrong so you clearly need help

8b-1=24b+4

subtract 4 from both sides

8b-5=24b

subtract 8b from both sides

-5=16b

divide by 16

b=-5/16

Answer:

b = -5/16

Step-by-step explanation:

8b - 1 = 24b + 4

8b - 24b = 4 + 1

-16b = 5

16b = -5

b = -5/16

a dress which sosts $180 is being sold at a discoundof 10% the amount of the discount is

Answers

Answer:

The discount is $18.

seven million five hundred and forty-two eight hundred in number form pls

Answers

Answer:

7,542,800

Step-by-step explanation:

Find the slope of the line containing the points (-3,-4) and (7,-6).

Answers

Answer:

-1/5

Step-by-step explanation:

slope formula

(0, 6) and (2, 96) in exponential function

Answers

Answer:

If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ , and solve for b.

If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ . Solve the resulting system of two equations in two unknowns to find a and b.

Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)

​x

​​ .

Step-by-step explanation:

Other Questions
The Catholic Church in Europe was responsible for building some of the earliest Write a essay on he who lives in a glass house does not throw stones, please I need 450 words I have to submit this assignment please Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number of teachers?Write your answer as two numbers separated by a colon (for example, 2:3). Which of the following is associated with plates moving away from each other? a. Rifts b. Subduction zones c. Faults d. All of the above. how is reading a graphic novel similar to reading a traditional novel? What was the main goal of the 19-century art movement called realism Different cells can have different Find the length of a diagonal of a 6 inch square. HELLLP!!!!! Seeds are one way that plants reproduce. What are the reproductive advantages of using seeds to reproduce? What are the two major divisions of seed plants, and how do plants in each of these divisions reproduce?\ if i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?explain Historians use terms such as A.D., B.C., decade, and centuryQuestion 1 options:to identify ancient civilizations.to refer to periods of time.to help define the term odyssey.to help us locate ourselves in space. 100 point going away :} Consider the advantages and disadvantages of online education and education in a traditional classroom setting. Which method oflearning is better for students? Write an essay in which you try to persuade a classroom teacher that either online or classroom learningis best! NEED LINK TO AN ESSAY WRITTEN OR WRITE ONE 3-5 PARAGRAPHS FOR 100 POINTS Graph the functiong(x)=103/5 Whats the answer to 420 - 69? What is the value for x if 2x+3=20 that makes the equation true Aryn and Mary started at the organization on the same day. Both are hard workers and perceive that they are equitably rewarded for their efforts. According to equity theory, it is likely that both will __ A stock issued by a stable corporation that generally attracts conservative investors is called a(n) _______ stock. DUE AT 8 MT!!! HELP ASAP!!!Define a variable, set up an equation, then solve.Lynn put 3 7/8 gallons of gas in her gas tank. If there are now 18 1/6 gallons in the tank, how many gallons did she start with?x - gallons she started with how many calories does the average american consume on thanksgiving? Functions Domain and Range