equation
2x-1/4+x/3=2

Answers

Answer 1

Answer:

x=27/28

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−14+x3=2

Step 1: Simplify both sides of the equation.

2x−14+x3=2

2x+−14+13x=2

(2x+13x)+(−14)=2(Combine Like Terms)

73x+−14=2

73x+−14=2

Step 2: Add 1/4 to both sides.

73x+−14+14=2+14

73x=94

Step 3: Multiply both sides by 3/7.

(37)*(73x)=(37)*(94)

x=27/28

Answer:

x=27/28


Related Questions

A skateboarder rides by my office every 9 minutes, and a cyclist rides by every 6 minutes. How long will it take for the skateboarder and cyclist to ride by at the same time?

Answers

Answer:

6:00

Step-by-step explanation:

The time taken by the skateboarder and cyclist to ride by at the same time is given by A = 18 minutes

What is HCF and LCM?

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the skateboarder rides by the office every 9 minutes

And , a cyclist rides by every 6 minutes

Now , time taken by the skateboarder and cyclist to ride by at the same time be A

where A = LCM of the two numbers

So , the smallest time interval at which both events occur. In other words, we need to find the least common multiple (LCM) of 9 and 6.

Factors of 9 : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

Factors of 6 : 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

So , common multiple and the LCM is 18

Hence , the time taken is 18 minutes

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Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}

The median of the distribution can be found using the formula :

Median = 0.5(n + 1) th term

n = number of terms = 12

Median = 0.5(12 + 1) th term

Median = 0.5(13)th term = 6.5th term

Select the 6th and 7th term = 11, 11

(11 + 11) /2 = 22/2 = 11

Hence, the median = 11

The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.

The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.

Answer:

The median number of hours James worked is 10 . The skew of the distribution is  negative .

Step-by-step explanation:

What are the x and y-intercepts of the line described by the equation?

2x + 4y = 12.4



Enter your answers, in decimal form, in the boxes.

x-intercept =

y-intercept =

Answers

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

Substitute y for 0.

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

Substitute x for 0.

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

What is the slope of (-3,4) and (0.3)

Answers

Answer:

m=-1/3

Step-by-step explanation:

To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁

So you would have 3-4 divided by 0-(-3)

And then you would get -1/3

Answer:

-0.33333

//////Step-by-step explanation:///////

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?

Answers

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

Can someone please help me?

Answers

Answer:

4

Step-by-step explanation:

It is 4 because there are 4 pea pods with 3 peas in each pod.

Answer:

2

Step-by-step explanation:

Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You
mix the Tanzanian blend with the Queen City blend, but always in the same proportion. Yesterday, you
mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend. Today, there is 20 pounds
of the Tanzanian coffee left in stock. How many pounds of the Queen City coffee should you mix with it to
get your secret blend?

Answers

Quantity of Tanzanian blend used in my secret coffee blend = 40 pounds

Quantity of Queen city blend used in my secret coffee blend = 8 pounds

The ratio of Tanzanian blend to Queen city blend in my coffee blend = 40 : 8

Quantity of Tanzanian blend with me = 20 pounds

Quantity of Queen city bend needed to make my secret coffee blend =

Let the quantity of Queen city blend I will need be x .

[tex] \frac{40}{8} = \frac{20}{x} [/tex]

[tex]8 \times 20 = 40 \times x[/tex]

[tex]160 = 40x[/tex]

[tex]x = \frac{160}{40} [/tex]

[tex]x = 4[/tex]

Therefore , I need to mix 4 pounds of queen city blend with my 20 pounds of Tanzanian blend to get my secret coffee blend .

4 pounds of  the Queen City coffee should you mix with it to get your secret blend.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Yesterday If we mixed 40 pounds of the Tanzanian blend with 8 pounds of the Queen City blend.

In the same proportion, today there is 20 pounds of the Tanzanian coffee left in stock.

We need to calculate how many pounds of the Queen City coffee should you mix with it to get your secret blend.

Let x be the pounds of the Queen City coffee should you mix with it

Let us form a equation

40/8=20/x

Apply cross multiplication

40x=160

Divide both sides by 40

x=4

Hence 4 pounds of  the Queen City coffee should you mix with it to

get your secret blend.

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A dolphin swam7 1/2 miles in 3/8 hour. what is its average speed in miles per hour?

Answers

Answer:

20 mph

Step-by-step explanation:

To find miles per hour you divide the number of miles by the number of hours

 

(7 1/2)/(3/8) = (15/2)(8/3) = 20 mph

HELP PLEASE PLEASEEEEEEE

Answers

Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

[tex] \frac{44}{100} = \frac{816}{x} [/tex]

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

I think it’s 1854.55 miles

solve for x


-30=5(x+1)

Answers

Answer:

-7

Step-by-step explanation:

Rectangle ABCD has a length represented by the expression 2x-3, and a width represented by the expression 4x+5. Rectangle PQRS has a length represented by the expression x-1, and a width represented by the expression 3x+2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS

Answers

This question is Incomplete

Complete Question

Rectangle ABCD has a length represented by the expression 2x – 3, and a width represented by the expression 4x + 5. Rectangle PQRS has a length represented by the expression x – 1, and a width represented by the expression 3x + 2. Which Expression can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS?

a) 2x + 1

b) 4x + 2

c) 4x + 6

d) 20x + 6

Answer:

b) 4x + 2

Step-by-step explanation:

The Formula for the Perimeter of a Rectangle = 2(L + W)

= 2L + 2W

Hence:

For rectangle ABCD

Length = 2x - 3

Width = 4x + 5

Hence, the Perimeter is :

P = 2L + 2W

P = 2(2x - 3) + 2(4x + 5)

P = 4x - 6 + 8x + 10

P = 4x + 8x -6 + 10

P = 12x + 4

For Rectangle PQRS

Length = x - 1

Width = 3x + 2

Hence, the Perimeter is :

P = 2L + 2W

P = 2(x - 1) + 2(3x + 2)

P = 2x - 2 + 6x + 4

P = 2x + 6x - 2 + 4

P = 8x + 2

The Expression that can be used to represent the difference in the perimeter of Rectangle ABCD and Rectangle PQRS is

Perimeter of Rectangle ABCD - Perimeter of Rectangle PQRS

(12x + 4) - (8x + 2)

12x + 4 - 8x - 2

12x - 8x +4 -2

4x + 2

Option b) 4x + 2 is the correct option.

6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)

Answers

Answer:

5(8x + 6y), 10(4x + 3y), 2(20x + 15y)

Step-by-step explanation:

(5x *8) + (5x *6) = 40x + 30x no

(5 * 8x) + (5 *6y) = 40x + 30y yes

10*40x + 10*30y = 400x + 300y no

10*4x + 10*3y = 40x + 30y yes

2y *20x + 2y*15 = 40xy + 30y no

2*20x + 2*15y = 40x + 30y yes

The expressions that are equivalent to (40x + 30y) is (10(4x + 3y)) and (2(20x + 15y)) and this can be determined by using the arithmetic operations.

Given :

Expression  --  (40x + 30y)

The following steps can be used in order to determine the expressions that are equivalent to (40x + 30y):

Step 1 - The arithmetic operations can be used in order to determine the expressions that are equivalent to (40x + 30y).

Step 2 - Take the 10 common in the given expression.

= 40x + 30y

= 10(4x + 3y)

Step 3 - Also can take 2 common in the given expression.

= 40x + 30y

= 2(20x + 15y)

Therefore, the correct option is D) and F).

For more information, refer to the link given below:

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What is the solution set of the inequality for 6x – 12 > 30?

Answers

Answer:

x > 7

Step-by-step explanation:

6x - 12 > 30

add 12 to 30

6x > 42

divide 6 to 42

x > 7

Not sure if this is what you needed but hope this helped!!!

4x + y =1
x + 2y = 9

Answers

Answer:

x=-1 y=5

Step-by-step explanation:

A. 4x+y=1 multiply the equation negative 2

B. x+2y=9

-8x-2y=-2 add this to equation b

x+2y=9

-7x=7 divide both sides by -7

x=-1

now substitute x for -1 in either of the original equations

-4+y=1 add 4 to both sides

y=5

-4+5=1

-1+10=9

Give the missing reasons for this proof (with picture)

Answers

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

rearrange the formula d= m/v for m

Answers

Answer:

m=d*v

Step-by-step explanation:

If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?

Answers

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]

[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]

Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]

[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]

Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]

[tex]P({sum\geq 13})=0[/tex]

Therefore, the probability of getting a sum of 13 or more is 0.

Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?

Answers

Answer:

0.5 m

Step-by-step explanation:

Just use the answer

If y varies directly as x, and y = -85 when x = 5, what is the value of y when x = 19

Answers

Answer:

-323

Step-by-step explanation:

y varies x

make k the unknown

y=kx

-85= 5k

:• k = -17

when x= 19

we can say...

y= -17(19)

y = -323 ✓

8.56 is the answer ...........

James bought a car and paid for it in equal payments of $854. After making 41 payments, he still had to pay $16,331.

Answers

What is this asking? He’s Paid $35,014
Oh 19.122 payments left

please help me with this

Answers

Answer:

d. 42 is the 100% correct answer....

Hopes it helps you.....

Hopes to get BRAINLIEST.......

Thank you ☺️

i need a fast answer for this

graph y=4x+9

Answers

The answer is in the picture below. To get this answer you first plot the y-intercept which in this case is 9. Then after you plot the y-intercept plot the rest of the points by taking the slope, which is 4 and going up 4 over 1.

Drag the words into the boxes to correctly complete the sentence.



In the problem 3.8÷0.7, the number 3.8 is the________ and the number 0.7 is the_____


The words at he bottom is


sum, difference, equivalant, divisior, dividend, remainder

Answers

Answer: In the problem 3.8÷0.7, the number 3.8 is the equivalent the number 0.7 is the divisor. Equivalent, divisor. Have a great day!

What is the range of the following numbers?
12, 20,18,25, 6
O A 5
OB. 164
O C. 18
O D. 19
O E. 25

Answers

D. 19 Hope this helps :)

6771 divided by 44
Quotient:
Remainder:

Answers

Answer:

quotient: 152 remainder: 23

Step-by-step explanation: hope that helps :)

can i get brainliest pls?

what times is equal to 75​

Answers

Answer: 5 x 15= 75

Step-by-step explanation:

Answer:

75*1=75

Step-by-step explanation:

A corporate team-building event costs $1, plus an additional $1 per attendee. How many
attendees can there be, at most, if the budget for the corporate team-building event is $45?

Answers

Answer:

9 attendees

Step-by-step explanation:

1+4=5

46/5=9 R1 the slash is dividing it hope it help's

Answer:

9 attendees

Hope I helped

Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

!!PLEASE HELP QUICK!!Chauncy is paid $10 per hour. He works 2 hours a day for 5 days each week. How much money is Chauncy paid for his work each week? Which sentence can be used to answer the word problem?

A Chauncy is paid $___

B Chauncy works ___

C Chauncy works ___

D Chauncy is paid $___

Answers

Answer:

he make $100 a week

D Chauncy is paid $100 for his work each week

Answer:

Chauncy is paid $100 for his work each week

Step-by-step explanation:

A. Compute the balance in an account if $25,000 is invested for 5 years with an APR of 3% compounded daily. The balance in the account will be? B. For the same principal, APR, and time above, compute the balance in the account if it were compounded annually. The balance in the account will be? C. Discuss the difference in the answers above and give a possible explanation. ​

Answers

Answer:

A.  $29,045.68

B.  $28,981.85

C. Compound daily applies interest everyday over a period of 365 days in a year. Compound annually only applies the 3% interest once a year.

Step-by-step explanation:

3% compounded daily:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{365}[/tex])^365(5)

      = 25000(1.00008219)¹⁸²⁵

      = 25000(1.161827)

      = 29045.6770

3% compounded annually:

   A = P(1 + r/n)^nt

      = 25000(1 + [tex]\frac{.03}{1}[/tex])^1(5)

      = 25000(1.03)⁵

      = 25000(1.159274)

      = 28981.8518

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