What is the solution to the equation 1/4x -1/8 = 7/8+1/2x ?
X=-5
X=-4
X=4
X=5

Answers

Answer 1

The solution to the equation is B)x=-4.

What is equation ?

    Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left hand side = right hand side) is a fundamental mathematical formula. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value. It is clear that a statement is not an equation if there is no "equal to" sign in it. The phrase will be regarded as an expression.

Here the given equation is,

[tex]= > \frac{1}{4}x - \frac{1}{8}= \frac{7}{8}+\frac{1}{2}x\\ = > \frac{1}{4}x-\frac{1}{2}x = \frac{7}{8}+\frac{1}{8} \\ = > \frac{1-2}{4}x = \frac{7+1}{8} \\= > \frac{-1}{4}x=\frac{8}{8}\\= > \frac{-1}{4}x=1\\ = > x= -4[/tex]

Hence the solution of the equation is B)x=-4.

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Related Questions

19 points Solve for c. 5/4c+12=2

Answers

Answer:

C= -8

Step-by-step explanation:

I used a calculator

Answer:

c=-8

Step-by-step explanation:

[tex]\frac{5}{4}c[/tex] + 12 = 2

1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)

1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the             right do it to the left )

1.25c = -10

1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )

c = -8

HOPE IT HELPED

Express 64^3/2 in simplest radical form

Answers

Answer:

16 im sure :)

Step-by-step explanation:

Factor completely 36x2 + 6x - 6

Answers

Answer:

78x - 6 = 72x

Step-by-step explanation:

Greatest common factor of 36 and 6 is 6.

First pull 6 out of each term:

6(6x^2 +x -1)

Now factor the polynomial :

6(3x-1)(2x+1)

Please help!! Thank you!

Answers

Answer:

a= -2

b= 1

c= 4

d=0

Step-by-step explanation:

-5 times -2 is 10.

-5 times 1 is -5.

-5 times 4 is -20.

-5 times 0 is 0.

5x^2 + 29x+ 20
Trinomial

Answers

Answer:

Step-by-step explanation:

5x^2 + 29x+ 20  is a Trinomial. Trinomial has 3 terms.

Simplify the expression.

( I got 144, but i'm not sure)

Answers

Answer:

144 is correct

Step-by-step explanation:

13 - 1 is 12

12 times 12 = 144

144 divided by 2 is 72

72 times 2 is 144

Answer:

yes the answer is correct 144

Step-by-step explanation:

I hope this answer is correct please tell me

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.

Answers

Answer: yes

Step-by-step explanation:

this month 3485.78/4 = 871.445 gallons per person

Drought month 7250.50/4 = 1812.625

difference 7250.50 - 3485.78 = 3764.72

SOLVE FAST FOR BRAINILEST
Write an equation using the following steps then solve it
- use the number m
- mutliply it by 2
- add 1
- divide the answer by 3
- then add 2

The final answer should be equal to the number (m)
I need the equation and the equation solved please

Answers

m=[(2m+1)/3] + 2
m = 7

Help plss!!!
A jewelry store paid $75 for a necklace at
wholesale cost. The store will sell the necklace
for $250. What is the percent markup on the
necklace?

A. 175% increase
B. 250% increase
C. 233% increase
D. 300% increase

Answers

Answer:

75 increased by 233% = 249.75 if you are rounding up this is the answer

Step-by-step explanation:

This is true because 249.75 is the closest the other guy who wrote the wrong answer is lying. (update) it just got deleted i told you

Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.

Answers

Answer:

B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

Step-by-step explanation:

I took the test.

The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,

In Triangle M N P.

Side P N = 26.7 centimeters,

M N is 18.3 centimeters,

P M is 14.2 centimeters.

Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.

He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.

Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.

Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.

Learn more about congruent triangles;

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find the equation of the line shown

Answers

Answer:

y = 1/2x

Step-by-step explanation:

The equation of the straight line shown in the graph is y = 2x.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

From the given graph, the points the straight line is passing through can be found as (2, 1) and (4, 2).

The equation of the line for the given points can be written as follows,

(4 - 2)/(2 - 1) = (y - 2)/(x - 1)

=> y - 2 = 2(x - 1)

=> y = 2x - 2 + 2

=> y = 2x

Hence, the equation of the straight line shown in the graph is y = 2x.

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Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle A.

Select all of the measurement pairs that could be the dimensions of Rectangle B.

40 inches by 10 inches
10 inches by 2.5 inches
9 inches by 3 inches
7 inches by 1 inch
6.4 inches by 1.6 inches

Answers

Answer:

40 inches by 10 inches

&

6.4 inches by 1.6 inches

Step-by-step explanation:

40 inch divided by 5 in is 8 inch                      

10 inch divided by 5 in is 2 inch

6.4 inch x 1.25 inch is 8 inch

1.6 inch x  1.25 inch is 2 inch

Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?

Answers

Answer:

15 hours

Step-by-step explanation:

To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.

value of 2 when x =5

Answers

Answer:

2

Step-by-step explanation:

∠A and \angle B∠B are vertical angles. If m\angle A=(5x-5)^{\circ}∠A=(5x−5)

and m\angle B=(2x+19)^{\circ}∠B=(2x+19)

, then find the value of x.

Answers

Answer:

x = 8

Step-by-step explanation:

Since the angles are vertical then they are congruent, thus

5x - 5 = 2x + 19 ( subtract 2x from both sides )

3x - 5 = 19 ( add 5 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Answer:

8

Step-by-step explanation:

5x - 5 = 2x + 19

3x - 5 = 19

3x = 24

I need help somebody help

Answers

2000(1+.05)^2 = $2,205

helpp me plzz
A.
B.
C.
D.

Answers

a is the answer. it’s the answer

Which of the following represents a function
1
X
6
-51 8 1
1 1723 171
10.1) (3,2), (8,3), (2,2), (34)

Answers

The third one is the answer
The third one is the answer

-2 (-6 - 7n) + 5n = 145
What is the answer

Answers

Answer:

n=7

Step-by-step explanation:

simplify it and u get

12+19n=145

19n=133

n=7

cody's Bikes rents bikes for $18 plus $5 per hour. Mark paid $48 to rent a bike. For how many hours did he rent the bike.

Answers

He rented the bike for 6 hours. If Cody charges an 18 dollar fee up front you subtract that from the total 48 to get 30. Then once you get down to the what he payed for the time used you divide it by 5 because that’s the hourly fee and get 6 hours

Answer:

Cody rented the bike for 6 hours

Find the product of (2x + 3) and (x + 5)

Answers

Answer:

2x^2 + 13x + 15

Step-by-step explanation:

∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Answers

Answer:

46 units i think... not sure tho

Step-by-step explanation:

A rectangular garden has a length of 3a+75 cm and a width of 2a-34. What is its
perimeter?

Answers

Answer:

P = 10a + 68 cm

Step-by-step explanation:

Hi there !

P = 2w + 2l

= 2(2a - 34) + 2(3a + 75)

= 4a - 68 + 6a + 150

= 10a + 68 cm

Good luck !

3. Now combine any like terms. What is the simplified product?

Answers

Answer:

Step-by-step explanation:

(x + 1) (x + 2)

x2 + 2x + x + 2

x2 + 3x + 2

22. Write the word sentence as an equation. The product of negative 2 and 5 plus a number d = 14.​

Answers

Answer:

(-2+5)+d=14

Step-by-step explanation:

"Product" means add

Rewrite the expressions as a product of two factors.

Rewrite expressions as a product of two factors. Translation: Factor out the GCF


a. 72 + 8


b. 55 + 11


c. 36 + 72



d. 144 − 15 (careful!)


e. 3 + 3

Answers

a. 8(9+1)

b. 11(5+1)

c. 36(2+1)

d. 3(48-5)

e. 3(1+1)

Answer:

Step-by-step explanation:

8(9t+1)

11(5a+1

36(z+2)

144(15+9)

3 (3+1)

take out the letters but this is work i did in class plz mark brainlest

Which of the following is the prime factored form of the lowest common denominator of 15/28-5/12?

Answers

Answer:

5/6

Step-by-step explanation:

15/28 - 5/12

LCM of 28 & 12 is 336

420 - 140

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

336

=280

--------

336

= 280/336

=5/6

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 5, 16 greater-than negative 40, negative 8 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, 5, 8, negative 4. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality. A: B: C: D: The inequality symbol is only reversed when dividing by a number.

Answers

Answer:

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

Step-by-step explanation:

3. Volunteer drivers are needed to bring 80 students to the championship baseball

game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6

students. The equation 40 + 6v = 80 describes the relationship between the number

of cars, c, and number of vans, v, that can transport exactly 80 students.

Select all statements that are true about the situation.

A. If 12 cars go, then 2 vans are needed.

B. c = 14 and v= 4 are a pair of solutions to the equation.

C. If 6 cars go and 11 vans go, there will be extra space.

D. 10 cars and 8 vans isn't enough to transport all the students.

E. If 20 cars go, no vans are needed.

F. 8 vans and 8 cars are numbers that meet the constraints in this situation.

Answers

Answer:

Options (B), (C) and (E) are the correct options.

Step-by-step explanation:

Equation that represents relation between the number of cars c and the number of vans v to transport 80 students is,

4c + 6v = 80

Option A.

If c = 12,

4(12) + 6(v) = 80

48 + 6v = 80

6v = 32

[tex]v=\frac{16}{3}[/tex]

Which is not equal to 2.

Therefore, Option A is incorrect.

Option B

If c = 14,

4(14) + 6(v) = 80

56 + 6v = 80

6v = 24

v = 4

Therefore, c = 14 and v = 4 is a pair of solutions.

Option B is correct.

Option C.

If c = 6 and v = 11

4(6) + 6(11) = 24 + 66

                 = 90

This means with 6 cars and 11 vans 90 students can be transported. Therefore, there will be extra space.

Option C is correct.

Option D.

If c = 10 and v = 8

4(10) + 6(8) = 40 + 48

                  = 88

Therefore, 10 cars and 8 vans are enough to transport 80 students.

So option D is incorrect.

Option E.

If c = 20,

4(20) + 6(v) = 80

80 + 6v = 80

v = 0

Therefore, for 20 cars go no vans are needed.

Option E is correct.

Option F.

Constraints in this situation,

Minimum number of cars to be used = 20

c ≥ 20

Minimum number of vans to be used = [tex]\frac{80}{6}[/tex] ≈ 14

v ≥ 14

Therefore, Option (F) is incorrect.

Find each commission.
9. 2% on $1,500 in sales


Please help

Answers

Answer:

$138

Step-by-step explanation:

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