Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.

Linear equation:
1/4a+ 1/3 a + 8 = 22

Answers

Answer 1
Multiply each of the fractions by 1 to get them to have the same denominator.
1/4 x 3/3 = 3/12
1/3 x 4/4 = 4/12
New Equation:
3/12a + 4/12a + 8 = 22
now add up similar terms
7/12a + 8 = 22
subtract 8
7/12a = 14
multiply each side by your denominator
12(7/12)a=12(14)
7a=168
divide by 7
a = 24

Related Questions

Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101

-PLEASE HELP IM FR HALF ASLEEP-

Answers

Answer:

y = 14

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

Step-by-step explanation:

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

7y=98

y=14

Answer: 14

Step-by-step explanation:

First you do 3 - 3 which cancels each other out.

2nd step :

you do 101 - 3 which equals 98

3rd step :

Divide 98 by 7 and your final answer is 14 !! <3

Does anyone know this answer??

Answers

I believe by the first equation they are referring two a representation of the total amount of money made up by the two types of coins. I found this to be 0.05x + 0.10y = 3.50

In my work I solved for the amount of each coin- I assume this is what the final step of your problem entails. If you need any help understanding/ I misinterpreted something please feel free to comment and ask :)

#5c coins or x= 36

#10c coins or y= 17

whats is 89 x 98789 =
please help me asap please

Answers

Answer:

8792221

Step-by-step explanation:

89 x 98789 = 8792221

8792221 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation

f(t)=256e(0.0611t)

where t is in minutes. How long will it take the population to reach 5 times its initial value?

Answers

Answer: 26.34

Step-by-step explanation:

The bacteria will take 26.3409 minutes.

What is Exponential Equations?

Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.

Given f(t) = 256[tex]e^{0.0611t}[/tex]

initial condition when t = 0

f(0) = 256

to find the time when population reach 5 times its initial value

= 256 x 5 = 1280

f(t) = 1280,

to calculate t

1280 = 256[tex]e^{0.0611t}[/tex]

[tex]e^{0.0611t}[/tex] = 5

0.0611t = ln(5)

0.0611t = 1.60943

t = 1.60943/0.0611

t = 26.3409 minutes.

Hence Bacteria will take 26.3409 minutes to reach 5 times.

Learn more about Exponential Equations;

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Please help ….Simplify: V18x7

Answers

Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

Step-by-step explanation:

What is the rule for the transformation from the smaller polygon to the larger polygon?

A. (x, y) = (2x, 2y)

B. (t', y) = (x, ky)

C. (x, y) = (3x, 3y)

D. (, 34) = (4., 3y)

Answers

A. (x, y) = (2x, 2y) this should be correct depending on the size of the shape but with no picture or context then A..

A student subtracted 9 from a number and then divided the result by 3. Her answer was 43.
What was the original number?

Answers

Answer:

138

Step-by-step explanation:

Point C has a _____ abscissa and a _____ ordinate.



positive, negative
positive, positive
negative, positive
negative, negative

Answers

Answer:

i think its b but im not that sure

Step-by-step explanation:

help me with this guys

Answers

Let y = cos⁻¹(x), so that cos(y) = x.

For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.

For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.

Then

tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3

What is the midpoint of the segment shown below?
10
O A. (6.3)
(2,3)
(10,3)
B. (6,3)
- 10
10
C. (5,3)
-10
D. (533)
SUE

Answers

Answer:

b. (6,3)

Step-by-step explanation:

10+2=12

12/2=6

The line is always on 3, so that will be the y coordinate!

The midpoint of the line segment are (6, 3). Therefore, option B is the correct answer.

What is the midpoint of a line segment?

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

The formula to find the midpoint of line segment is (x, y) = [(x₁+x₂)/2, (y₁+y₂)/2]

From the graph, the coordinate points of ends of line segment are (2, 3) and (10,3).

Here, midpoint = [(2+10)/2, (3+3)/2]

= (6, 3)

Therefore, option B is the correct answer.

To learn more about the formula of midpoint visit:

https://brainly.com/question/4728902.

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What is 25/9 as a mix fraction?

Answers

Answer: 2 7/9

Step-by-step explanation:

Answer: 2 7/9

Step-by-step explanation:

First divide 25 by 9. You should get the answer of 2.7777777777778 which equals 2. Then to find the new numerator, you do 25-(9x2)=7. You keep the original denominator (9) and there it is. 2 7/9.

Write the equation of the line that passes through the points (9, 3) and (-7, -7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
a
line.

Answers

Answer:

y-3=5/8(x-9)

Step-by-step explanation:

First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8

Now we can just plug in a point into point slope form

y-3=5/8(x-9)

How to teach multiplication with 2 digit numbers.

Answers

Answer:

10x50=

Step-by-step explanation:

10

x50

_____

00

+5 00

_____

500

first times the one times everything then carry a zero for the second number

them times the tens place by everything

then add them

The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change

Answers

Answer:

10/45 = 22.2% change in price  

Step-by-step explanation:

new-old/old

Please tell me what the Point Slope Slope Intercept Standard is for these graphs

Answers

Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

Slope-intercept formula⤵⤵⤵:

[tex]y = mx + b[/tex]

Standard formula⤵⤵⤵:

[tex]Ax + By = C[/tex]

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

Five less than five times a number is less than six times the same number plus
2.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

if an angle is bisected to form two new 39° angles, what was the measure or the original angle

Answers

Answer:

78°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

78°

Step-by-step explanation:

39 × 2 = 78

--

Bisected - Divided into two parts.

Students in Mrs. Marquez's class are watching a film on the uses of geometry
In architecture. The film projector casts the image on a flat screen as shown in
the figure. The dotted line is the bisector of each congruence theorem to prove that need to know.

Answers

The given information on the diagram of the projector and the image can

be used to prove the congruency of the triangles.

∠ABD, ∠BDA, and side [tex]\overline {AD}[/tex] on ΔABD are congruent to ∠CBD, ∠BDC, and

segment [tex]\overline {CD}[/tex] on ΔCBD, therefore, ΔABD ≅ ΔCBD, by AAS Theorem

Reasons:

The figure of the projector that casts an image on the screen is attached.

The bisector of the line [tex]\overline {AC}[/tex] = [tex]\overline {BD}[/tex]

From the drawing, we have;

∠ABD ≅ ∠CBD by equal number arc mark.

The two column proof is therefore, presented as follows;

Statement [tex]{}[/tex]                                            Reason

[tex]\overline {BD}[/tex] is perpendicular bisector of   [tex]{}[/tex][tex]\overline {AC}[/tex]   Given

[tex]\overline {AD}[/tex] = [tex]\overline {CD}[/tex]   [tex]{}[/tex]                                             Definition of bisected line [tex]\overline {AC}[/tex]  

∠BDC = 90°       [tex]{}[/tex]                                      [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠BDA = 90°                         [tex]{}[/tex]                    [tex]\overline {BD}[/tex] is perpendicular [tex]\overline {AC}[/tex]  

∠ABD ≅ ∠CBD [tex]{}[/tex]                                       Given on the diagram

ΔABD ≅ ΔCBD  [tex]{}[/tex]                          by Angle-Angle-Side AAS Congruency rule

The Angle-Angle-Side, AAS, Congruency postulate states that two

triangles are congruent where two adjacent angles and a non included side

on one triangle are congruent to the corresponding two adjacent angles

and a non included side on the other triangle.

Learn more here:

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A GIRL WANTS TO BUY A DRESS THAT COST 125$ ANDSHE HAS A DISCOUNT OF 15% OFF OF A 5% COUPAWN HOW MUCH DID SHE PAY

Answers

100$ because 125/6 is 20 so then 20 x 5 is 100

How to find factors of a number.

Answers

To find factors of a number you have to see what numbers you can multiply to get to that number. For example i’ll use the number 9. 3x3 equals 9 and 9x1 equals 9.

hlp me with this math problem

Answers

Answer:

0.5l+0.2s

Step-by-step explanation:

0.10x5l equals 0.5l

0.10x2s equals 0.2s

A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume? cubic centimeters

Answers

Answer: 288 cubic centimeters

IS MITOSIS CELL REPLICATION?

Answers

it replicates the chromosomes

You have a jar of jolly ranchers that contains: 15 cherry, 10 blue raspberries, 6 green apples, and 4 grapes.
Without looking, what is the probability that you select a green apple jolly rancher, eat it, then select a cherry?
The probability that both events occur is
which is
%. Round percent to the nearest whole
number.
Done and Review
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INTI
O

Answers

Answer:

9 / 119 or 8%

Step-by-step explanation:

there are a total of 35 candies, of which 6 are green and 15 are cherry

P(Green) = 6/35

P(Cherry) = 15/35

P(Green,Cherry) = 6/35 · 15/34

= 9/119 or 7.6%

Tim buys a book for $50.38. If he paid 3% in sales tax, then what did the book cost
before tax?

Answers

Answer:

Total cost of the book = $51.89

Step-by-step explanation:

Total cost of the book = Cost of the book + (cost of the book × sale tax %)

Total cost of the book = $50.38 + ($50.38 × .03)    3% = .03 as a decimal

 Total cost of the book =$50.38 + $1.5114)

  Total cost of the book = $51.8914

   Total cost of the book = $51.89

Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?

Answers

why is melissa buying 8 pounds worth of dog food holy shzt anyways the 4thhh

i) Factorise x^2 - x - 20

Answers

[tex](x + 4)(x - 5)[/tex]

hope it helps

#carryonlearning

see the attachment for the explanation

65 - 2x ≥ 150, whats the answer!!!

Answers

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

Ned fills 2/3 of a bucket in 1/5 of a minute. How much time will it take him to fill the bucket?

Answers

Answer:

12 min

Step-by-step explanation:

A store had 64 hats on stock on friday. They had 48 left on Saturday. The amount went down by 16. PLS HELP!!!

Answers

Answer:

if you need to plot what percent they have left its 75%, i you have to plot how much decreased it would be 25%> Hope this helped!

Step-by-step explanation:

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