how do you solve 21/4=1/2x+3x and whats the answer?

Answers

Answer 1
Hi there!

To solve is pretty easy. First, simplify.

21/4=(1/2x+3x) -> Combine Like Terms
21/4=7/2x
FLIP
7/2x=21/4

Multiply both sides by 2/7.
(2/7)*(7/2x)=(2/7)*(21/4)
x = 2/3

Hope this helps!

Related Questions

Sally has 6 boxes of colored pencils only three of the boxes contain 12 colored pencils each .the remaining boxes each contain 20 colored pencils.she packs the colored pencils into 8 packets.how many pencils are there in each packet??

Answers

3 times 12 then 3 times 20
3 x 12 = 36
3 x 20 = 60
60 + 36 = 96
96 ÷ 8

Edgar used 10 x d to represent the number of pennies in d dollars. Is this reasonable?

Answers

yes that is reasonable
Yes that is a reasonable answer.

Brand X costs $2.40 for 16 ounces. Brand Y costs $1.92 for 12 ounces. Find the unit price of each brand. Which brand is the better buy? Please Help! Thanks

Answers

Final answer:

To find the unit price, divide the cost by the number of ounces for each brand. Brand X has a unit price of $0.15 per ounce, while Brand Y has a unit price of $0.16 per ounce. Brand X is the better buy because it has a lower unit price.

Explanation:

To find the unit price of each brand, we need to divide the cost by the number of ounces for each brand.

Brand X: Unit Price = $2.40 / 16 ounces = $0.15 per ounce

Brand Y: Unit Price = $1.92 / 12 ounces = $0.16 per ounce

Therefore, Brand X is the better buy because it has a lower unit price.

Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.

Answers

this is because 7 x 6 is only 42 therefore julies answer is way too far off.

the real answer is 43.89

hope this helps you

The table represents a function.

x : 0, 2, 4, 6,

y : 6, 8, 10, 12,

Complete the statement by choosing A, B, or C

The rate of change in the function y = x + 4 is ? the rate of change of the function represented in the table.

A) Greater than

B) Less than

C) Equal to

Replace the question mark in the sentence above with A, B, or C



Answers

"Rate of change" is another name for "slope".

In the table, every time 'x' increases by 2, 'y' also increases by 2.
So the rate of change (slope) of the function in the table is

         (change in 'y') / (change in 'x')  =  2/2  =  1  .

The rate of change (slope) in the function  y = x + 4  is
the coefficient (number before) the 'x'.  That's also ' 1 '.

So the rate of change in the function y = x + 4 is the same as (equal to)
the rate of change of the function represented in the table.

45% of $432 =


Show work

Answers

45% of $432=                                                                                       432.45%=194.4
$194.4

PLEASE HELP URGENT PLEASE HELP apply the definition of subtraction and properties of operations to find the result. 1/8 - 3/7 - 3/8

Answers

You can make all the denominators equal by multiplying 8 by 7.

That makes it:

7/56 - 24/56 - 21/56 = -38/56 =

-19/28


Sarah and her friends picked 3 3/4 pints of blueberries. After they ate some of the blueberries, only 2 1/3 pints remained.

How many pints of blueberries did Sarah and her friends eat?

Answers

 3 3/4 - x = 2 1/3
15/4 - x = 7/3
15/4 - 7/3 = x
45/12 - 28/12 = x
17/12 = x
1 5/12 = x.......they ate 1 5/12 pints

Answer: 1 5/12

Step-by-step explanation:

2 1/3 = 7/4

3 3/4 = 15 / 4

The amount they eat = The amount they picked - The amount they remained

The amount they eat = 15 / 4 - 7/3

=45-28 / 12

=17/12

= 1 5/12

Use division to rename 8/10

Answers

0.8
8 divided by 10 = 0.8
The fraction sign, /, is also a division sign. so any fraction means numerator divided by the denominator. So eight tenths is also equal to eight divided by 10, or 0.8.
Hope this helps!

The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members will there be in 9 months? (round to the nearest whole number)

Any and all help is appreciated!

Answers

About 596 by 9 months 
412x0.05=20.6
20.6x9=185.4
185.4+412=597.4
round and its 597 members by 9 months 

Answer: 639


Step-by-step explanation:

Given: The number of people that belong to a certain social website=412

Since they are increasing at the rate of 5% every month .

The number of members of after x months is given by exponential growth function, i.e. [tex]y=A(1+r)^x[/tex], where A is the initial amount , r is the growth rate

From question, A=412

r=5%=0.05

x=9 months

Therefore, [tex]y=412(1+0.05)^9=412(1.05)^9=412\times1.551=639.1356\approx639[/tex]

hence, there will be 639 members agter 9 months.

A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a mule deer runs in miles per hour?

twenty-five seconds over one-fourth mile = 36 miles per hour
one-fourth mile over twenty-five seconds = 36 miles per hour
one-fourth mile over twenty-five seconds = 100 miles per hour
twenty-five seconds over one-fourth mile = 100 miles per hour

Answers

speed (v) = distance (d) / time (t)
so either the second or third. if this is realistic deer can't run 100 miles per hour so is say the second initially but to check what is .25miles/25s convert to hours. (3600 seconds in an hour) so .25*3600=900 then 900miles/25hour= 36miles/ hour.

The correct expression to determine how fast a mule deer runs in miles per hour is one-fourth mile over twenty-five seconds = 36 miles per hour.

To find the speed of the mule deer in miles per hour, we need to convert the time from seconds to hours and then use the formula for speed, which is distance divided by time.

First, let's convert 25 seconds into hours. There are 3600 seconds in an hour, so:

25 seconds * (1 hour / 3600 seconds) = 25/3600 hours

Now, we know that the mule deer runs one-fourth of a mile in 25 seconds. To find the speed in miles per hour, we divide the distance by the time in hours:

Speed (mph) = Distance (miles) / Time (hours)

Using the conversion above, we have:

Speed (mph) = (1/4 mile) / (25/3600 hours)

To simplify this, we multiply the numerator and denominator by 4 to get rid of the fraction in the numerator:

Speed (mph) = (1 mile) / (25/900 hours)

Now, we multiply the denominator by 900 to get the time in hours:

Speed (mph) = (1 mile) / (25/900 * 900 hours)

Speed (mph) = (1 mile) / (25 hours)

Next, we need to find out how many 25-hour intervals there are in one hour. To do this, we divide 1 by 25:

Speed (mph) = 1 mile * (1/25 hours)

Speed (mph) = 1/25 miles per hour

Since there are 25 intervals of 1/25 hours in one hour, the mule deer can cover 25 intervals of 1/4 mile in one hour:

Speed (mph) = 25 * (1/4 mile) per hour

Speed (mph) = 25/4 miles per hour

Speed (mph) = 6.25 miles per hour

However, this result does not match any of the options given in the question. It seems there was a mistake in the calculation. Let's correct it:

Speed (mph) = (1/4 mile) / (25/3600 hours)

Speed (mph) = (1/4) / (25/3600)

Speed (mph) = (1 * 3600) / (4 * 25)

Speed (mph) = 3600 / 100

Speed (mph) = 36 mph

This is the correct calculation. Therefore, the expression that represents the speed of the mule deer in miles per hour is one-fourth mile over twenty-five seconds equals 36 miles per hour.

I NEED THIS ANSWER ASAP. which is true for all the vlaues in the table below

Answers

the answer to your question is c
The answer is A

because when

y = x + 2
and x = 2
y must = 4

2. A pool company is trying out several new drains. Drain A empties a pool at a rate of 2 gal/min. Drain B empties a pool at a rate of 5 gal/min. One pool has 108 gal of water in it. Write an equation for each drain that shows the amount of time it takes to empty the pool. Then solve each equation showing your work.

Answers

108/2=54*60= 34min40sec     then 108/5=21*60=13min

sorry if this is incorrect your question was a little confusing                                                                           

The Equations are 2x = 108 and 3y = 108.

Drain A takes 54 minutes and Drain B takes 36 minutes to empties the pool.

What is Unit rate?

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another.

Given:

Drain A empties a pool at a rate of 2 gal/min.

Drain B empties a pool at a rate of 5 gal/min.

One pool has 108 gal of water in it.

So, let Drain A empties the pool in x minutes and Drain B in y minutes.

Then, Drain A:

2x = 108

x= 54 minutes

and, Drain B:

3y = 108

y= 36 minutes

Learn more about Unit rate here:

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City A: 3% City B: 4.1% City C: 2.9% City D: 3.2% Tom wants to buy a sweater for $30. In witch city will it be lest expensive?

Answers

the answer is C 2.9%
I do believe its C....

if one banch of cookies call for 5 eggs, how many banches can you make with 24 eggs.will there be any left over.

Answers

You can make four batches of cookies with four eggs left over. 5 goes into 24 four times with a remainder of 4. 
You can make 4 branches of cookies, with 4 left over.

what is 2/300 as a fraction and decimal

Answers

2/300 as a decimal is 0.00666666.

2/300 as a fraction is 1/150 when you simplify.

Fractional equivalent of 2/300 is 1/150 .

Decimal equivalent of 2/300 is 0.0066.

Given,

2/300

Here,

To get the fractional equivalent of 2/300

Divide numerator and denominator by the common factor,

2 / 2= 1

300 / 2= 150

Simplified fractional form,

= 1/150.

Decimal equivalent of 2/300,

Divide 2 by 300

So,

2/300 = 0.0066

Know more about fractions,

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What equation is graphed in this equation?
A. Y-3= 3/2(x+1)
B. Y+2= -3/2(x-2)
C. Y+1= -2/3(x-3)
D. Y-4= -2/3(x+2)

Answers

y-2=-3/2(x-2)
first of all, the slope of the line is -3/2, and there's only one equation that has that as a choice for the slope. Then you can take the x and y coordinates given in that equation you want to check and see if the line goes through that point. from the equation, (point-slope form y-y=m(x-x)) I know that the line should pass through point (2, -2), and looking at the graph, that is correct.

HELP ME ON THESE THREE QUESTIONS!!!!!!!!!!!!!!!!!!!!!!
Octavio used a brand new 6-hour tape to record some television shows. He recorded a movie that is 1 16/32 hours long and a cooking show that is 1 2/8 hours long. How much time is left on the tape?

Betty is making punch for a party. She needs a total of 9/10 gallon of water to add to fruit juice. In one container she has 1/3 gallons of water, and in another she has 2/5 gallons of water. How much more water does she need?

Zac moved 1/5 of the things from his old bedroom to his new dorm room in 32 6/12 minutes. How long will it take in hours, minutes, and seconds?
**Use hr for hour, min for minutes, and sec for seconds.

Josh is training to run in a half-marathon. So far this week, he has run 6 3/8 miles on each of the three days of training. Assuming Josh keeps this up, what is the total distance Josh runs in 3 weeks?

Answers

thats four questions, but okay :)   1.) 1 16/32 is just an hour and a half, and 1 2/8 is a hour and 15 minutes. that adds up to 2 hours and 3/4 or 2 hours and 45 minutes. 6-2 3/4 =3 1/4 hours, or 3 hours 15 minutes.     2.) convert the 1/3 and 2/5 into 10/30 and 12/30 so they have the same denominator, add them. that equals 22/30. now convert the 9/10 into 27/30 for easy subtraction. 27/30 minus 22/30 is 5/30, simplify that and it is 1/6. so betty needs a 1/6 of a gallon more.      3.) 32 6/12 is just 32 and 1/2. and thats 1/5 of his stuff. so take 32.5 and multiply it by 5, which equals 162.5 minutes. that is 2 hours 42 minutes, and 30 seconds.      4.) take 6 3/8 and multipy that by three for one week. that is 19.125. now multipy that by three since there are three weeks. that equals 57.375 which as a fraction is 57 3/8. so he would run 57 and 3/8 miles in three weeks of training. sorry about my spelling, im ust trying to type fast so you can get this fast.  :)

Tim found a new jacket on sale. The original price was $96. The tag said that it was 25% off. What was the sale price?

Answers

$71 because you subtract $96 and the 25 percent off.

John swam 0.86 km each day for 3 weeks. How many meters did he swim in those 3 weeks?

Answers

3 weeks is 21 days

Multiply

(0.86km)(21days)

18.06 km
18.6 km
Just multiply 0.86 x 7 x 3

307 round to nearest tens

Answers

310 is 307 rounded to the nearest tens place
310 is the answer to the problem

How can you use a graph or equation to determine the cost for a given number of hamburgers

Answers

use the photo math method

Step-by-step explanation:

the cost of oranges in a grocery store is direcly proportional to the number of oranges purchashed.jerri paid $2.52 for 6 oranges.if p represents the cost,in dollars, and n represents the number of oranges purchashed,which equation best represnts this relationship

Answers

What equations? I see no equations. Do you have a picture, if take a picture

I will let you have 15 points answer this how can you tell place value of decimals I would like pictures but if you can't understand

Answers

Well the place values after the decimal point are similar to the place values to the left of the decimal point, yet it does not include the place value of ones.

For example:
0.ABCDE
A = tenths
B = hundredths
C = thousandths
D = ten thousandths
E = hundred thousandths.
Well you will know that the right is the lowest amount meaning from right to left in this order will be:

Ones
Tens
Hundreds
Thousands
Milions
Billions
so forth so on

write a word problem that involves dividing by a decimal .include a picture of solution using a model

Answers

A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?

(Explanation is attached)


A word problem is,

"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?

What is division?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

a word problem that involves dividing by a decimal .include a picture of solution using a model

given by,

"A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?"

(Explanation is attached)

To learn more on division click:

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179.4 ÷ 2.3 plz help meh

Answers

179.4 ÷ 2.3 equals 78.
If you divide 179.4 and 2.3, your answer would be 78.

Without dividing how can you decide wether the quotient of 7.16 * 4 will be less than or greater than 2

Answers

1. If you want to get 2 while dividing by 4 you would have to divide 8 by 4.

2. 7.16 ≤ 8

Meaning that you would get less than 2.

show two ways five people can share a 3 segment chewy fruit

Answers

They can share 0.6 segment each or they can divide it in different amounts (2 persons will get 0.4 of a segment and the other 3 persons will get 0.73 of a segment). This solution is valid only if they don't have to share it equally. (It is not specified in the question). 
1. Split the 3 segment fruit into 5 equal parts being 0.6 for each person.
                                               or
2. You can also split it unevenly. They can compromise to have a smaller piece than the other or the same or whatever size works for each 5 people to get the chewy fruit.

The quotient of a number x and −1.5  is 21

Answers

Answer:

x = -31.5

Explanation:

We are given that the quotient of x and -1.5 is 21

This means that:

[tex]\frac{x}{-1.5} =21[/tex]

To get the value of x, we will multiply both sides of the equation by -1.5

This means that:

[tex]\frac{x}{-1.5} * -1.5=21*-1.5[/tex]

x = -31.5

Note that the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

The value of x is -31.5.

Quotient means the result of dividing a number by another number. For example, the quotient of 4 and 2 is 2.

The information provided in this question can be represented with this equation:

[tex]\frac{x}{-1.5}[/tex] = 21

In order to determine the value of x, multiply both sides of the equation by -1.5.

x = 21 x - 1.5

x = -31.5

A similar question was answered here: https://brainly.com/question/3193290?referrer=searchResults

There are two buildings bisede each ather that are 47feet and 31 feet high. The buildings are 12 feet apart. What is the distance between the rooftop of the bluilfings

Answers

You use Pythagorean theorem...a^2+b^2=c^2
a=12ft
b=47-31.. height of the triangle
c=distance between two roof tops

(12)^2+(16)^2=c^2
144+256=c^2
400=c^2, take square root of both sides
c=20ft

The distance between the rooftops of two buildings, one 47 feet high and the other 31 feet high with a 12 feet gap between them, is 20 feet, as calculated using the Pythagorean theorem.

To determine the distance between the rooftops of two buildings with different heights, we should envision a right-angled triangle where the buildings form the two vertical legs, and the distance between them forms the base.

The height difference of the buildings gives us one leg of the triangle (47 feet - 31 feet = 16 feet), and the distance between them gives us the other leg (12 feet).

Using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, we can calculate the length of the hypotenuse, which is the distance between the rooftops.

The formula is c = ( √{a² + b²} ), where a and b represent the legs of the triangle, and c represents the hypotenuse.

For our problem:

Leg a (height difference): 16 feet

Leg b (distance apart): 12 feet

Plug the values into the formula:

c = √{16² + 12²}

c = √{256 + 144}

c = √{400}

c = 20 feet

So, the distance between the rooftops of the buildings is 20 feet.

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