Solve the equation 3/4x + 3 -2x = -1/4+1/2x+5
If necessary: Combine Terms
Apply Properties: Add, Subtract, Multiply, Divide

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

3/4x + 3 -2x = -1/4 + 1/2x + 5

3/4x + 3 -2x = 19/4 + 1/2x

3x + 12 - 8x = 19 + 2x

-5x + 12 = 19 + 2x

-5x - 2x + 12 = 19

-7x = 19 - 12

-7x = 7

x = -1

Answer 2

By solving the algebraic equation  [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.

What is algebraic equation?

Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]

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Related Questions

Which of the following statements best describes the value of the expression 5x – 4 when x = 1? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.

Answers

The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

Which of the statements best describes the value of the expression 5x – 4 when x = 1?

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

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Please answer this question it is for Math!

Answers

Answer:do you mean plotting a graph

Step-by-step explanation:

someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?

Answers

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

166 2/3 percent as a fraction

Answers

Plz mark it brainliest

The fraction is 5000/3.

What is Percent?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

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how many dimes equal the value of 6 quarters.show you step​

Answers

Answer:

15 dimes

Step-by-step explanation:

6 quarter = 1.50$

150 / 10 = x amount of dimes

X amount of dimes = 150$

15 dimes = 1.50$

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

6 quarters is in total 1.50, so youll need a total of 15 dimes in order to have the same amount of 6 quarters

Step-by-step explanation:

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]

Answers

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

Find the number,if 1/5 of it is 15

Answers

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

Q7. Average of 60 numbers are 55. When 10 more numbers are included, the average of
70 numbers become 75. Find the
average of 10 numbers.​

Answers

Answer:

The average of the 10 numbers is 195

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers dividing by their number

Average = The sum ÷ The number

∵ The average of 60 numbers is 55

The average = 55

The number = 60

→ Substitute them in the rule above to find the sum of the numbers

∵ 55 = The sum ÷ 60

→ Multiply each side by 60

∴ 3300 = The sum

The sum of the 60 numbers = 3300

∵ 10 more numbers are included

∵ The average of  70 numbers become 75

The average = 75

The number = 70

→ Substitute them in the rule above to find the sum of the numbers

∵ 75 = The sum ÷ 70

→ Multiply each side by 70

∴ 5250 = The sum

The sum of the 70 numbers = 5250

∵ The sum of the 10 numbers that added is the difference between

   the sums of the 60 and 70 numbers

∵ The difference between the sums = 5250 - 3300

The difference between the sums = 1950

→ To find the average of them divide their sum by 10

∵ The average of the 10 numbers = 1950 ÷ 10

∴  The average of the 10 numbers = 195

A chair cost $250 last year and $175 this year by what percent did the price decrease?

Answers

Answer:

I believe it is 50% decreased, not sure

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

in order to find the percentage of the price decrease,we must find the difference between the prices

250-175=75

the price has dropped 75$

to find the percentage, we do 75/250

which can be simplified to 3/10 or 30%

We can check this by finding 30% of 250 which is 75

75=75

Show how you would simplify the following expressions. Show your work.

Answers

If you multiply numbers with the same base, their exponents would add while their base stays the same.

1. 3 + (-5) = -2
4^ -2 = 1/4^2 = 1/16

2. -2+ (-4) = -6
3^-6 = 1/3^6 = 1/729

Could someone please answer b?

Answers

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = [tex]\frac{11x}{3}[/tex] = [tex]\frac{11}{3}[/tex]x

The share of John is larger by $50

→ That means the difference between his shares is 50

[tex]\frac{11}{3}[/tex]x - 2x = 50

∴ [tex]\frac{5}{3}[/tex]x = 50

→ Divide both sides by [tex]\frac{5}{3}[/tex]

x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

The total sum of the money is $330

PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.


Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup

ANSWERS
one-fifth
4
two-thirds
5

Answers

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST

Answers

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation

Answers

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

Which equation best describes a relationship between x and y in the table below?

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + 5

Step-by-step explanation:

Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y = mx + b , "b" is y-intercept with coordinates (0, b)

(0, 5)

(6, 7)

m = [tex]\frac{7-5}{6-0}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + 5

9. Identify the marked measurement


Answers

Answer:

9.   3.4

10.  4.4

Step-by-step explanation:

Which pair of lines are perpendicular?
A. x - y = 7 and y = x + 3
B. y = -4x + 1 and 8x + 2y = -10
C. y = -8 and y = 2
D. x = 4 and y = -1

Answers

It would be y=-8 and y =2

I’m sorry if I’m wrong <3

what is 6 1/10 plus 5 4/5 ASAP please

Answers

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answers

Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answer:

What graph

The time taken by the shipping company to pack 180 boxes is 15 hours.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

The given graph is the direct relation and has a constant proportion as,

Book packed/hour = 60/5 = 12

With this constant of proportionality,

For 180 boxes,

180/hour = 12

Hour = 15

Hence "It takes the shipping business 15 hours to pack 180 cartons".

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Missing data shown below,

n is an integer. Prove that (2n+1)(n+3)+(2n+1)(n-2) is not a multiple of 2. thanks.

Answers

Answer:

(2n + 1)(n + 3) + (2n + 1)(n - 2)

= (2n + 1)(n + 3 + n - 2)

= (2n + 1)2n + 1)

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

can see 2(2n² + 2n) is   a multiple of 2 but 1 isnt  a multiple of 2

=>  2(2n² + 2n) + 1  is not a multiple of 2

=> (2n + 1)(n + 3) + (2n + 1)(n - 2) is not a multiple of 2

Step-by-step explanation:

Four years ago, Sam invested in Grath Oil. She bought three of its $1,000 par value bonds at a market price of 93.938 and with an annual coupon rate of 6.5%. She also bought 450 shares of Grath Oil stock at $44.11, which has paid an annual dividend of $3.10 for each of the last ten years. Today, Grath Oil bonds have a market rate of 98.866 and Grath Oil stock sells for $45.55 per share. Use the scenario above to consider which statement best describes the relative risk between investing in stocks and bonds.

Answers

Answer:

C. The market price of the bonds is more stable than the price of the company's stock.

Step-by-step explanation:

In the context, Sam bought some bonds at the market price from Grath Oil and also invested in buying corporate shares which paid a dividend of $3.10 for each share annually for a period of ten years.

At present the market value of the bonds of Grath Oil is more. The market price of the bond is the amount of the money to be paid in an open market to buy a bond.

So the bond's market price is much more stable than the price of the company's stock. It is riskier to invest in company stocks.

Answer:

ik you dont need it no mo but its c

Step-by-step explanation:

i just want the points

what type of number is -3? A.rational. B. irrational C. whole number D. natural​

Answers

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

8^1/3 dived by 5^-2
Please help

Answers

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

Add 19 to ‘a’ and divide the sum by 5, you will get 8

Answers

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

what is this^
a)rectangular prism
b)pentagonal prism
c)rectangular pyramid
d)hexagonal prism

Answers

Answer:

A) rectangular prism

Explanation:

The base is a rectangle, not a pentagon nor hexagon. So B and D are out.

The difference between a prism and a pyramid is the shape.

Prism just tends to be extensions of the base while the pyramid would have a pointy top, just like a pyramid.

There is no pointy top on the object, so it is a rectangular prism.

12. In New Mexico, the state sales tax rate is 5.125%. If the price of a digital
camera sold in New Mexico is $294.35 including sales tax, what was the list price
of the digital camera? *



Help me lol I don’t wanna fail .

Answers

Answer:

15.08 if u round but it's really 15.079

Plz quick can some one help me with these two questions also plz show working out

Answers

22a. ¼ of salary = £3600
total salary = £3600 x 4 = £14400
total amount of salary spent
= (£14400x20%) + (2/5 x £14400) + £3600
= £2880 + £5760 + £3600
= £12240

total amount saved
= £14400 - £12240
= £2160

23a. amount anwar saves = 12%
= 0.12 of his salary
amount bethany saves = 1 - 7/8
= 1/8 = 0.125 of her salary

hence, bethany saves more money each week.

I'm more than 9 dozen and less than the number of days in 4 months. The sum of my digits is 11.

Answers

The answer would be 119

More than 9 dozen (9 x 12 = 108)

And

Less than the number of days in 4 months (4 x 30 = 120 or 4 x 31 = 124)

Answer: 92 or 119

in 4 months, 2 months with 30 days per month,  2 months with 31 days per month

suppose: the number to find is X

have: 90 < X < 30.2 + 31. 2 ⇔ 90 < X < 122

if X is a number has 2 digits => X is xy

=> [tex]\left \{ {{x+y=11} \atop {90<x\leq 100}} \right.[/tex]

=> xy = 92

if X is a number has 3 digits => X is abc

we have: [tex]\left \{ {{a+b+c=11} \atop {100\leq abc<122}} \right.[/tex]

because 100 ≤ abc < 122 => a = 1; b = 0 or 1

+) if a =1 ,b = 0 but a+ b +c = 11 => c = 10 (removed because c is a 1-digit number)

+) if a = 1, b = 1 => c = 9

=> abc = 119

=> X is 92 or 119

Step-by-step explanation:

what is 7-(2x+1)+4x simpilist form

Answers

The answer is 2x +6 hope this helps
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