2.5(a + 4) + 0.5a = 12.4

Answers

Answer 1

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)


Related Questions

Does anyone know this?

Answers

Answer: D .............

Answer:

B

Step-by-step explanation:

Given

g(x) = 2x² - 6x - 56 ← factor out 2 from each term

      = 2(x² - 3x - 28) ← factor the quadratic

Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)

The factors are + 4 and - 7, since

4 × - 7 = - 28 and 4 - 7 = - 3 , thus

x² - 3x - 28 = (x + 4)(x - 7) , then

g(x) = 2x² - 6x - 56 = 2(x + 4)(x - 7) → B

Frank earns $8 per hour. Madison
earns $7.50 per hour. Frank started working after Madison had already earned $300. If these rates continue, will Frank’s earnings ever equal Madison’s earnings? If so, when?

Answers

Answer:

yes, and at 600 hours they are equal and at 601 Frank passes her.

Step-by-step explanation:

since frank  has a higher salery/slope and Madison has a lower salary slope meaning even though Madison started out with more Frank will eventually pass her.

First, you gotta find the difference slope 8-7.5 so .5 then find the difference in starting points 300 and zero. then multiply the difference as a  positive(make it reversed 1/2 to 2/1 ) so 2 times 300 equals 600.

Answer:

They will and it will be by the 600th hour. The equation is frank makes 8$ dollars per hour for n hours. That (at some point) is the same as what maddi makes, 7.50 per hour for n hours plus 300... sooo

8n=7.50n+300

Sub in n for 600 and it should cancel everything out and work :)

if you want me to re-explain let me know.

True or False??
.............................

Answers

Answer:

That is true.

Step-by-step explanation:

Look at this example:

3/1 = 1/3 This example applies to most fractions.

Richard spent $30 at a store. He spent $14 on a book and bought some CD's at $4 each. How
many CD's did Richard buy at the store? Write an equation to represent the problem, then
solve.

Answers

Answer:

4

Step-by-step explanation:

30 minus 14 = 16 and 16 divided by 4 is 4. so the answer is 4

What are the equations of the asymptotes of the hyperbola?


[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1


Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

Answer:

hyperbola?

[tex]\frac{(y+4)^{2} }{36}[/tex] - [tex]\frac{(x-6)^{2} }{49}[/tex] =1

Enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

PLEASE HELP !! THANK YOU AND ILL GIVE 10 POINTS PLUS BRAINLIEST !! CORRECT ANSWERS ONLY PLEASE !!

Answers

It is D. 53.

The step by step is in the picture! :)

WHAT IS THE SLOPE? !! WILL GIVE BRAINLIEST

Answers

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

Step-by-step explanation:

2/3 is your slope.

PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?

Answers

Answer:

Answer are at the bottom!

Step-by-step explanation:

First equation: y=5x

Second equation: y=5.5x

Unit rate:

x/5.5

5.5/5.5

x/1

Hope this helps!

A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch

Answers

Answer:

The circumference is expressed usingC=2πr

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circle.

The length of the string corresponds to the circumference of the circle.

The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"

upon measuring the diameter we can further obtain the radius "r"

The expression for the radius is r=d/2 (the radius is half the diameter)

C=2πr

where pi= 3.124 a constant term

Hence Circumference is the same as the length of the string

Which represents the solution up above ^^^^^^^^^^

Answers

Answer:

-2x <= x < 3

Step-by-step explanation:

Subtract 4 from all sections to isolate the x and then divide everything by 3 to make there be only 1 x

g(x)=f(x-1)-5

Describe the transformation to f(x) that results in g(x).

1

2

f(x) has been

translated to the left

one and down five.

f(x) has been

translated to the

right one and down

five.

f(x) has been

translated to the

right one and up five.

f(x) has been

translated to the left

one and up five.

Answers

Answer:

f(x) has been  translated to the  right one and down  five.

Step-by-step explanation:

Given

[tex]g(x)=f(x-1)-5[/tex]

Required

Determine the transformation

Taking the analysis one at a time

The relationship between f(x) and f(x - h) is that f(x) is translated h units to the right

So, when f(x) becomes f(x-1), it is as a result of f(x) being translated 1 unit to the right

The relationship between f(x) and f(x) - h is that f(x) is translated h units downwards

So, when f(x - 1) becomes f(x - 1) - 5, it is as a result of f(x - 1) being translated 5 units downwards.

Hence, option 2 answers the question

In​ 2009, a poll found that ​47% of people favored the protection of the environment at the risk of limiting energy​ supplies, while 47​% favored the development of energy supplies even if that risked harming the environment. Another 4​% felt that energy and the environment were equally important. what's the probability a person had​ "No Opinion"? NEED HELP ASAP!

Answers

Answer:

It will be 84

Step-by-step explanation:

Solve the division problem below.




The quotient is

Answers

Answer:

25/8

Step-by-step explanation:

Answer:

It's -6

Step-by-step explanation:

i got it right lol

Choose the value of x for f(x)= x^2-3x when f(x) = 10.

Answers

Answer:

f(10)=70

Step-by-step explanation:

[tex]f(x)=x^{2} -3x\\f(10)=10^{2} -3(10)\\f(10)=100-30=70[/tex]

A movie theatre marks up the price of popcorn 12 3/4 times the original cost. express 12 3/4 as a percent and decimal.

Answers

Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

(Solve by Graphing)
3x - 2y = 4
x + y = -7

Systems of equations solved by graphing please!

Answers

Answer:(2,-9)

Step-by-step explanation:

find the gif of the terms of the polynomial. 52x^8 + 12x^3

Answers

Answer:

The GCF of the terms of the polynomial 52x^8 + 12x^3 is 4x^3.

Step-by-step explanation:

solve :
2(3x + 6) = 18

Answers

Answer:

2(3x+6)=18

6x+12=18

6x+12-12+18-12

6x=6

6x/6=6/6

x=1

Step-by-step explanation:

3. You have saved $140 for a new pair of skis. They have a regular price of $189. They have been reduced by 30%. There is a 13% tax as well. a. What is the discount? b. What is the new price? c. What is the tax? d. What was the total price of the shoes, after the discount and tax? e. Do you have enough money?

Answers

Answer:

$56.70

$132.30

$17.199

$149.499

No

Step-by-step explanation:

Given that:

Regular price of skis = $189

Discount % = 30%

Amount saved = $140

After sales tax = 13%

a. What is the discount?

Discount amount = Regular price * discount %

Discount amount = $189 * 0.30

Discount amount = $56.70

b. What is the new price?

Regular price - Discount amount

$189 - $56.70

= $132.30

c. What is the tax?

Sales tax = new price * tax %

Sales tax = $132.30 * 0.13

Sales tax = $17.199

d. What was the total price of the shoes, after the discount and tax?

New price + sales tax

= $132.30 + $17.199

= $149.499

e. Do you have enough money?

No

$149.499 > $140

Any help is needed!! ❤️ only if you know ofc!

Answers

Answer:

b=74degrees

Step-by-step explanation:

First find angle a

180-112-33=35

use angle a to find b

180-35-71=74

The graph shows the number of each kind of book in Hero's personal library. A book is
chosen randomly.
What is the probability that the book is a romance book?

Answers

Answer:

[tex]\displaystyle p=\frac{1}{15}[/tex]

Step-by-step explanation:

Probability

The simple probability of a random event can be calculated as the ratio between the possible favorable cases and the total possible cases.

The pie chart shows the number of books in Hero's library grouped by category.

The total number of books is 14 + 10 + 4 + 2 = 30

The number of romance books is 2

Thus, the probability of randomly choosing a romance book out of the total books is:

[tex]\displaystyle p=\frac{2}{30}[/tex]

Simplifying:

[tex]\mathbf{\displaystyle p=\frac{1}{15}}[/tex]

This corresponds to the first option

Answer:

1/15

or

[tex]\frac{1}{15}[/tex]

explanation:

Use the equation p= 8.31/v where p = pressure and V = volume.

What happens to the pressure as the volume approaches 0? Explain your reasoning.

Answers

Answer: pressure increases

Step-by-step explanation:

because Boyle's law states that pressure and volume have an inverse relationship, if we decrease volume the pressure will increase.

Another explanation: since volume approaches 0, we're dividing by a smaller number, and doing this gives us a larger value for pressure

Answer:

The pressure approaches infinity.

The function is undefined for V = 0.

There is an asymptote at V = 0.

Step-by-step explanation:

Exact answers for edge

cual es la respuesta de 1000+25

Answers

Answer:

1025

Step-by-step explanation:

 1 0 0 0

+      2 5

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

 1  0 2 5

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

HOPE THIS HELPS

PLZ MARK AS BRAINLIEST!!!!!!

PLEASE I NEED HELP URGENT I WILL MARK, SOLVE AND EXPLAIN THE ANSWER

Answers

the answer should be 18 because 10/1 1/4=0.125+1 1/4=1.375+0.125=1.5x12=18
this should be correct i’m truly sorry if it’s not

help pls thank you!!

Answers

10/2.5= 4
2/3*4= 8/3

2 2/3 is your answer (C)

Answer:

C 2+2/3

Step-by-step explanation:

10/2.5= 4

2/3*4= 2+2/3

how do you solve for x when you have this problem below please explain !!​

Answers

Answer:

The value of x is 16

Step-by-step explanation:

We can clearly see in the diagram that a transversal is intersecting two parallel lines.

When a transversal intersects two parallel lines, eight angles are formed.

The angles which are in the same position on same side of each line intersected by the transversal, are called corresponding angles.

Corresponding angles are congruent.

So,

Angle 6x+4° and 100° will be congruent or equal

[tex]6x+4 = 100\\6x =100-4\\6x = 96\\\frac{6x}{6} = \frac{96}{6}\\x = 16[/tex]

Hence,

The value of x is 16

A population of values has a normal distribution with μ = 245.3 and σ = 96 . You intend to draw a random sample of size n = 50 . Find the probability that a single randomly selected value is greater than 246.7. P(X > 246.7) = 0.0146 Incorrect Find the probability that a sample of size n = 50 is randomly selected with a mean greater than 246.7. P(M > 246.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answers

Answer:

0.4589

Step-by-step explanation:

We solve using z score formula

The z score formula for a random number of samples is:

z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation

Hence:

z = 246.7 - 245.3/96/√50

z = 0.10312

Probability value from Z-Table:

P(x<246.7) = 0.54107

P(x>246.7) = 1 - P(x<246.7) = 0.45893

Approximately to 4 decimal places = 0.4589

The probability that a single randomly selected value is greater than 246.7 is 0.4589

A pile of 100 $5coins is 150 mm high. One coin is______mm thick​

Answers

Answer:

1.5mm

Step-by-step explanation:

100x = 150. x = height is one $5 coin

x = 150/100

x = 1.5

A scuba diver used the expression below to describe his position in relation to sea level.

2 + (negative 20) + 8

Which statement could describe the diver’s movements?
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Starting on a platform 2 feet above sea level, dive down to a location that is 20 feet below sea level, and then rise 8 feet.
Starting 2 feet below sea level, dive down 20 more feet, and then rise to a location that is 8 feet below sea level.
Starting 2 feet below sea level, dive down 18 more feet, and then rise to a location that is 8 feet below sea level.

Answers

The first statement makes most sense

Answer:

A I got it right on edge.

Step-by-step explanation:

Plsss need help jahahahahababahhaha

Answers

Answer:

ummm try to solve it

Step-by-step explanation:

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This section provides your reader with background information about why you conducted this experiment and how it was completed. Outline the steps of the procedure in full sentences. It also provides potential answers (your hypothesis/es) relative to what you expected the experiment to demonstrate. This section should be 13 paragraphs in length.Section II: Data and ObservationsUse your answers from questions 45 as the basis for the second section of your lab report. This section provides your reader with the data from the experiment, in a summarized and concise way. No paragraphs are required for this section, but you do need to include the key data and observations from which you will generate your analysis and discussion. This section is objective.Section III: Analysis and DiscussionUse your answers from questions 68 as the basis for the third section of your lab report. This section provides your reader with your interpretation of the data set. 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This section is variable in length, and should likely be the longest part of your report.Section IV: ConclusionsUse your answers from questions 9-11 as the basis for the fourth section of your lab report. In this section you will summarize the outcome of the experiment, and discuss how the original hypothesis(es) was (were) either supported or refuted. Use logic and reason in explaining your statements, and be sure to refer to specific data from your experiment that supports your argument.This section also demonstrates your understanding of the experiment, through your ability to offer constructive criticism about its design and make suggestions for future experimentation. There are always ways that experiments can be improved. 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