Solve each for X. Show your work

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


2). 10-1/2x = 6 + 3x


Answers

Answer 1

Answer:

1). [tex]x = \frac{8}{7} [/tex]

2). [tex]x = - \frac{45}{2} [/tex]

Step-by-step explanation:

1) [tex]10 - \frac{1}{2} x = 6 + 3x[/tex]

[tex]20 - x = 12 + 6x[/tex]

[tex]20 - x - 6x = 12 + 6x - 6x[/tex]

[tex]20 - x - 6x = 12[/tex]

[tex] - x - 6x = 12 - 20[/tex]

[tex] - 7x = 12 - 20[/tex]

[tex] - 7x = - 8[/tex]

[tex]x = \frac{8}{7} [/tex]

•■•■•■•■•■•■•■•■•

2) [tex]x = - \frac{45}{2} [/tex]

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

[tex]20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)[/tex]

[tex]20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)[/tex]

[tex]10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2[/tex]

[tex]10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2[/tex]

[tex]10x - 5 = 4 \times 3x + 20 \times 2[/tex]

[tex]10x - 5 = 4 \times 3x + 40[/tex]

[tex]10x - 5 - 12x = 40[/tex]

[tex]10x - 12x = 40 + 5[/tex]

[tex] - 2x = 40 - 5[/tex]

[tex] - 2x = 45[/tex]

[tex]x = - \frac{45}{2} [/tex]


Related Questions

is -6.146 contued a rational or irrational

explian pls

Answers

Step-by-step explanation:

cannot be written as a fraction so its irrational

a formula for the area of a square is A=s2. Find A when s= 15cm.

Answers

Answer:

225

Step-by-step explanation:

15^2 = 15 * 15 = 225

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write √ 3 x √ 6 in the form b √2 where b is an integer.

Answers

Answer:

Step-by-step explanation:

The catch here is to break up sqrt(6) into 2 parts that use primes to define sqrt(6)

sqrt(3)* sqrt(6)

sqrt(6) can be broken up into sqrt(2*3) which equals sqrt(2)*sqrt(3)

sqrt(3)*sqrt(2)(sqrt(3)

sqrt(3)*sqrt(3)*sqrt(2)

3*sqrt(2)

PLEASE HELP GIVING BRAINIEST AWNSER WORTH 20 POINTS



Write an algebraic expression that has two different variables
and two different operations: addition, subtraction, multiplication, or division. Then write
a real world problem that uses the expression.
a real world problem that uses the expression

Answers

Hi, I'm happy to help!

First, we need to use two variables. Let's use x and y for this example.

Let's use a Multiplication and Addition operation for our word problem.

Our expression can be something like this.

3x+y

Now, we form this into a word problem.

Joe and Jim are cousins. They are trying to see who can find the most apples. Joe picks x apples. Jim picks 3 times as many as Joe, and picks y extra. How many apples did Jim pick? Write and solve an expression representing the situation. x=10 and y=3

Here's how you would solve:

3x+y

(3×10)+3

30+3

33

Joe picked 33 apples.

I hope this was helpful, keep learning! :D

Please Help im being timed!!! Is this True or False

Answers

Answer:

True

Step-by-step explanation:

[tex]f(x)=y=-8x+5: exchanging\ x\ and\ y\\\\x=-8y+5\\\\8y=-x+5\\\\f^{-1}(x)=y=\dfrac{-x}{8}+\dfrac{5}{8} =g(x)\\\\\\[/tex]

The two functions are inverses.

2 [3 (7-5) + 4 (8 + 2)]

Answers

Answer:

92

Step-by-step explanation:

2 [3 (7-5) + 4 (8 + 2)]

= 2 [3 × 2 + 4 × 10)]

= 2 [ 6 + 40 ]

= 2 × 46

= 92

92 I photo Math this question so..

The cost price of a box and a pen is Rs 80 The box is sold at 10% profit and the pen is sold at 20% loss. If the selling price of the box is Rs 28 more than that of the pen, calculate the profit or loss percent in a whole. ​

Answers

Answer:

61.84%

Step-by-step explanation:

Let the cost of the box be x. Since the price of the box and the pen is Rs 80, the pen's price can be represented as 80 - x. The box is sold at a ten percent profit, and an added ten percent is equal to 1.1. Therefore, the price the box sells at is 1.1(x). A 20% loss is the same a keeping 80% or multiplying by 0.8. This means the pen sold at 0.8(80 - x). Now, we are given the box went for Rs 28 more than the pen, so we can create an equation:

1.1x = 0.8(80 - x) + 28

We can simplify and solve:

1.1x = 64 - 0.8x + 28

1.9x = 92

x = 92/1.9

x = 920/19

The cost of the box after the increase would be 1.1(920/19) and the pen would be 0.8(80 - 920/19).

The sum of these two can be written as a percent x of 80.

80x = 0.8(80 - 920/19) + 1.1(920/19)

80x = 64 - 0.8(920/19) + 1.1(920/9)

80x = 64 - 0.3(920/19)

80x = 64 - 276/19

80x = 940/19

x = 940/1520

x = 0.6184

This is 61.84%

Solve for h in the equation 15-2h=6

Answers

Answer:

h=4.5

Step-by-step explanation:

15-2h=6   Get rid of any constants of the side of the variable.

-15    -15

-2h=-9      Divide -2 from both sides to isolate h.

/-2  /-2

h=4.5

Hope this helped you out! Have a wonderful day :)

If 8 ounces of cereal cost $2.99, then 16 ounces of cereal cost $5.98

Answers

correct 8/2.99=16/5,98

A number is divided by 2, and then the quotient is increased by 8. The result is 33.

Answers

Answer:

33

Step-by-step explanation:

please let me know if I’m correct

hope this helps

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 + 5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition

Answers

Answer:

Commutative Property of Addition

Step-by-step explanation:

3(x − 4) + 5x = 9x − 36

3x − 12 + 5x = 9x − 36  Distribute

3x + 5x − 12 = 9x − 36 Commutative Property of Addition

please help its urgent

Answers

Step-by-step explanation:

tn=3n+8

t1=3*1+8

=3+8

=11

t7=3*7+8

=21+8

=29

t14=3*14+8

=42+8

=50

Can someone help me with my homework I don’t understand it

Answers

Answer:

1 : 14

hard to see image (try using screen shots)

but.... 2 inches to 4 feet would be

2 : 48 which is

1 : 14

Step-by-step explanation:

An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.

How much paint is in each part?

Answers

Answer:

0.575 ounce

Step-by-step explanation:

Total paint

= Green paint + white paint

= 1.6 ounces + 1.85 ounces

= 3.45 ounces

Paint in each part if divided into 6 parts equally

= 3.45 ounces/6

= 345 ounces/600

= 23/40

= 0.575 ounce

The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.

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.

Given that,

Amount of green paint = 1.6 ounces

Amount of white paint = 1.85 ounces

Total paint = 1.6 + 1.85 = 3.45

The ratio of green paint to total paint = 1.6/3.45 = 0.46

Now, this ratio must be maintained in each part after dividing it into 6 equal parts.

Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58

With the same ratio,

Green paint / Total paint = 0.46

Green paint / 0.58 = 0.46

Green paint  = 0.27 ounces

White paint = total paint - green paint

White paint = 0.58 - 0.27 = 0.31 ounces

Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

[tex]\sqrt{x} =4[/tex]

Answers

x = 16
as the square root of 16 = 4

ok this is the last one i swear , i’m so bad at finding mistakes

Answers

Answer:

there is no mistake

Step-by-step explanation:

this seems weird ik but i dont think there is even a mistake? the answer is definitely -7/2 or -3.5

Caroline lowes her Dad $15.00. She earns
$18.00 doing chores. How much did Felicia receive after her
Dad took out what she owed him?

Answers

Answer:

-(6y + 2z) - 7z - (12z + 32y)

Step-by-step explanation:

9,875

Answer:

A,B,C

Step-by-step explanation:

Hope this helps

BRAINLIEST

I need workings pls.and I want you to understand my questions
1.)log base 16 0.25
2.)log base 7 ¹/7
3.)log base 4 ⅛

Answers

Answer:

-1/2 , -1, -3/2

Step-by-step explanation:

1.)log base 16 1/4

log base 16 [tex]4 ^{-1 }[/tex] =x

[tex]16 ^{x} = 1/4[/tex]

x = -1/2

2.)log base 7 ¹/7

log base 7  [tex]7^{-1}[/tex] = x

7^x = 7^-1

x = -1

3.)log base 4 ⅛

4^x = 1/8

[tex]2^{2x} = 2^{-3}[/tex]

2x = -3

x = -3/2

Answer:

Step-by-step explanation:

1. Let a = log16 0.25, then:

0.25 = 16 ^ a = 16^-0.5

So the answer is -0.5.

2. log7 1/7

1/7 = 7^-1

Answer is -1.

3.  log4 1/8

1/8 = 4^(-1.5)

Answer is -1.5

I need help ASAP IM IN SCHOOL!!!​

Answers

Answer:

-4, -9/4, 1/2, sqrt5, 3.7

[tex]\frac{-3+-6}{3}[/tex]

whats the answer to that?

Answers

Answer:

-3

Step-by-step explanation:

A postive and a negative becomes a negative.

So -3 + - 6 becomes

-3 - 6

= -9

 

The -9 is over 3, which is 9/3 negated, so 3 negated which is -3.

Determine if the expression 8a – a4 is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
The given expression
va polynomial.

represents
does NOT
represent
attempt 1 out of 2 / problem 1 out of max 1

Answers

Answer:

Represents

Step-by-step explanation:

Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.

…..Help 30 points ……………

Answers

Answer:

answers below

Step-by-step explanation:

1.  21.50n (Print it)

2. 70+18n (Top Print)

3. This one is more complicated. First, you find out the cost from each store, by inserting 30 in place of n. (1. =645), (2.=610). Then, you subtract 610 from 645, which gets your difference to 35$.

4. There is an error in the wording, but the answer should be something along the lines of this. "Bill would need to buy 2 fewer shirts from Print It than from Top Print for Print it to be cheaper."

Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional development for the year were $3,500. Which of the following represents his total employment compensation?
a.
$46,650
b.
$47,650
c.
$50,150
d.
$53,650



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

D. 53,650

50,150+3,500=53,650

The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?

Answers

Step-by-step explanation:

numbers

first = X

second = (x-10)

Third = 4(x-10)

x + (x-10) + 4(x-10) = 124

2x -10 + 4x-40 =124

6x - 50 = 124

6x = 124 + 50

6x = 174

x= 29

therefore the ;

first number = 29

second = (x-10) = 29-10 = 19

third= 4(x-10) = 4(29-10)= 76

if M={a,b,c,d} and N={c,b,e,f},find the value of M-N​

Answers

Answer:

M-N= {a,d}

Step-by-step explanation:

subtract the common elements

(a, d)

(

Step-by-step explanation:

because a and d are not in N ,

Cho m là tham số. Tìm điều kiện của m để phương trình x^2+2(m+1)+m+3=0 có nghiệm kép

Answers

Answer:

1234 Get On The Dance Floor

what is trigonometry???????​

Answers

Answer:

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.

Step-by-step explanation:

Answer:

trigonometry is the branch of mathematics that studies the relationship between angles and sides of a triangle.

Picture shown!

Complete the remainder of the table for the given function rule:
y=-x-9
x | -2 -1 0 2
y |-7 [?] [ ?] [? ] [? ]

Answers

Step-by-step explanation:

-8

-9

-10

-11

just subtituted the remaining values of x.

Answer:

x= -1 —> y= –8

x=0 —> y= –9

x=1—> y= –10

x=2—>y= —11

Step-by-step explanation:

x= -1 —>y= -(-1)-9= +1-9 = –8

x=0 —> y= -(0)-9= –9

x=1—> y= -(1)-9= -1-9= –10

x=2—>y= -(2)-9 = —11

I hope I helped you^_^

Cuanto es 2/9 - 4/15

Answers

Answer:

Step-by-step explanation:

Common denominator is 45

(45/9)*2 = 10 and (45/15)*4 = 12

10/45 - 12/45 = - 2/45

4
Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.

Answers

Answer:

x 3:7 y 5:9 :)

Step-by-step explanation:

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