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

plz .can any one help me.how we calculate this solution : 2 power2 + 6​

Answers

Answer:

2² = 2*2

(2*2) + 6 = 4+6 = 10

10

Step by step

2 power 2 is 2x2

(2) power 2 + 6 = 10

(2x2)+6 = 10

Louise buys 4 pencils for £1.20. How much does one cost? :)

Answers

Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence

Answers

Answer:

15n - 12

Step-by-step explanation:

18 ----> 3 = 15

3 -15 = -12

Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.

Answers

Percentage Calculator: What is the percentage increase/decrease from 198 to 209.99? = 6.0555555555556!

Answer:

6.06%

Step-by-step explanation:

198 + 6.06%=209.9988

Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?

Answers

Answer:

Ravi burned 867.7 more calories today than he did yesterday.

Step-by-step explanation:

To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.

To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.

In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

= 215008. 21 in²

Step-by-step explanation:

Find the value of x and y and each labeled
angle.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

3x - 20° + 2x = 180°

(by linear pair)

now, let's solve for x ~

[tex]5x - 20 \degree = 180 \degree[/tex]

[tex]5x = 180 \degree + 20 \degree[/tex]

[tex]5x = 200 \degree[/tex]

[tex]x = 200 \degree \div 5[/tex]

[tex]x = 40 \degree[/tex]

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

[tex]2x[/tex]

[tex]2 \times 40 \degree[/tex]

[tex]80 \degree[/tex]

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X​

Answers

Answer:

The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.

Step-by-step explanation:

Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.

Answers

The answer is C, 6.6 miles.

Answer:

B

Step-by-step explanation:

I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.

The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:

Answers

2/3*9=6
6/10=3/5
3/5 chance to be caught

The required probability of getting caught on the 10th day is 3/5.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6

The probability of getting on the tenth day is given as,

= 6/10
=3/5

Thus, the required probability of getting caught on the 10th day is 3/5.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Which of the following functions has a factor of x + 1?

f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39

Answers

Answer:

x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)

6 (x + 2)^12 - 8 = 64

Answers

i think the answer is x=-1

What is 2 1/4 divided by 4 2/3

Answers

Answer: (27/56)

Step-by-step explanation:

(2 1/4)/(4 2/3)

(9/4)/(14/3)      [Convert the integers on both sides to leave just fractions.

(9/4)*(3/14)      [Invert the denominator and multiply times the numerator]

(27/56)

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]

Step-by-step explanation:

[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]

convert the mixed number to an improper fraction

[tex] \frac{9}{4} \div \frac{14}{3} [/tex]

to divide by a fraction, multiply the reciprocal of that fraction

[tex] \frac{9}{4} \times \frac{3}{14} [/tex]

multiply the fraction

[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]

hope it helps

[tex] \: \: \: \: \: \: \: \: \: [/tex]

At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50




And how much is an adult ticket?how much is an child ticket?

Answers

Answer:

A

Step-by-step explanation:

if a = amount of adult tickets and c = amount of children's tickets

4 adult tickets plus 2 children's tickets equals $36.50

4a + 2c = 36.50

Also, 3 adult tickets and 5 children's tickets equals $38.75

3a + 5c = 38.75

MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?

Answers

Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Ab= 14
Co=8
OD=3
Find ob

Answers

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]

Evaluate the expression for x = 5:

2•(x-2)^2+5​​

Answers

Answer:

2•(x-2)^2+5​​       3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.

I hope that this helps :P (and thx for the ez pointsss)

Is -1/2 equivalent to - 1/2

Answers

Answer:

Yes

Step-by-step explanation:

- 1 / 2 = - 1 / 2

Both are equal.

Which situation can be modeled by the inequality 65-8x>9

Answers

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answers

Answer:

58 divided by 4 = 14. 5 mph

72.5 Divided by 4 = 14.5 mph

87 divided by 6 = 14.5 mph

k = 14.5 mph

Y= Kx = 14.5X

answer is 14.5 and 14.5X

Step-by-step explanation:

Can someone please help me with this

Answers

Answer:

f(x) = 3x +4f(x) = 5x +2f(x) = -4x +11f(x) = -4x +11 (same table as problem 3)

Step-by-step explanation:

To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.

The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...

  m = (y2 -y2)/(x2 -x1)

where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.

__

1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))

  y = mx +b . . . . line with slope m and y-intercept b

  f(x) = 2x +4

__

2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5

  f(x) = 5x +2

__

3. m = (11 -19)/(0 -(-2)) = -8/2 = -4

  f(x) = -4x +11

__

4. same as 3.

help for this question, please and thanks​

Answers

Answer:

a = 3

b = -1

c = -5

d = -7

Step-by-step explanation:

to find each letter, put the corresponding 'x' value into the y-equation and solve:

for 'a':  y = -2(-3) + (-3) = 6 + (-3) = 3

for 'b':  y = -2(-1) + (-3) = 2 + (-3) = -1

for 'c':  y = -2(1) + (-3) = -2 + (-3) = -5

for 'd':  y = -2(2) + (-3) = -4 + (-3) = -7

10 to the power of -2

Answers

Answer:

0.01

Step-by-step explanation:

your welcome :D have a good day pls mark me with the crown (whatever its called lol)

The answer could be -20 or (10)-2

5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100

Answers

I believe it’s b, so sorry if I’m wrong

Find the missing angle. *
45
X
65
45
52
O 25

Answers

Answer:

Ans is 65

Mark me BRAINLIEST

Answer:

x is 45

Step-by-step explanation:

since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.

(3 * 7) + (2 * 5)
[tex](3 \times 7) + (2 \times 5)[/tex]

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3×7=21

2×5=10

21+10=31

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

C

Step-by-step explanation:

Slope can truly be anything as long as they're equal

Answer:

c.their slopes are equal

Sales tax in a certain community is 7%. If the sales tax on a new car was $1,400, what was the selling price of the car

Answers

Answer:

20,000

Step-by-step explanation:

Answer:

%7         1400

100           x

7x=140000

x=20000$

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

You will probably have to multiply

Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?

Answers

Answer:

7:22

hope this helps and please mark brainllest

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