Solve for x: 1/4 (x-7) = 2x

A) x= 9
B) x= 1
C) x= -1
D) x= 15​

Answers

Answer 1
C) x = -1

Steps:

1/4 (x - 7) = 2x (distribute 1/4 with x and -7)

1/4x - 7/4 = 2x (distributed)

1/4x - 7/4 - 2x = 0 (put all values on 1 side)

1/4 x - 2x = 7/4 (put the x values together and 7/4 on the other side. *make sure you switch the signs (+ & -) when moving the values to the other side of the equal sign)

1/4x - 8/4x = 7/4 (multiply 2x by 4 on on top and bottom. *2x written as fraction is 2x/1)

-7/4 x = 7/4 (when you subtract 1/4x with 8/4x you get -7/4)

(-7/4)x / (-7/4) = 7/4 / (-7/4) (divide both sides by -7/4 to solve for x)

X = -1

Reminders when multiplying or dividing:

2 positives make a positive

2 negatives make a positive

A positive and a negative make a negative

A negative and a positive make a negative


Related Questions

Is the graph increasing, decreasing, or constant where 8

Answers

the graph is increasing

Estimate the solution of 4x + 5 = 34.

Answers

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

What is an Equation?

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

To know more about Equation

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Let v = (5,-2) and w = (4,10). Which of the following is true? Check all that
apply.
A. V and w are perpendicular.
B. v.w = 20
C. The y-component of wis 10.
D. W = -2(-2,-5)

Answers

Answer: The answer is A, C and D

Step-by-step explanation:

The expression that is true for (v) and (w) on the graph can be seen in options A, B and D

What is the expression of data on the graph?

The expression of data on the graph takes a standard form of arrangement in terms of (x, y).

From the given information:

v = (5, -2) i.e. we have 5 on the x-axis and -2 on the y axisw = (4, 10) i.e we have 4 on the x-axis and 10 on the y axis

If we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;

w = (2, 5)v = (5, -2)

This shows that v and w are perpendicular to each other, and the product of v.w = 20

Similarly, W = -2(-2, -5) because by opening the brackets we have:

W = (4, 10)

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Please help me please!!
(Picture above)

Answers

Answer:

1) D

2) C

3) B

4) A

Step-by-step explanation:

type them into desmos online calculator to see the lines

00:00
Select all the expressions that are equivalent to 312.79.
A. 33. 34.49
B. (33) • (736
C. 73. (3-4)-3.76
D. (33 + 39) • (76 + 73)
E. 320. (73)3 • (34)-2

Answers

Answer:

i think D

Step-by-step explanation:

PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!

Answers

Answer:

I'm pretty sure it's neither? You need a graph or something for that

Answer:

I think its perpendicular

Step-by-step explanation:

When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!

What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm







Answers

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]

A student sees a bird on top of a 12m high light pole. The student is standing 20m from the base of the pole. At what angle must the student incline her camera to take a picture of the bird?

Answers

Answer: 31 degrees

Step-by-step explanation:

The student must incline her camera at 31 degrees to take the picture of bird.

Angle of inclination:

The angle of inclination of a line is the angle formed by the intersection of the line and x-axis.

According to the given question

height of pole = 12m

distance of student from the pole = 20m

Let the angle of inclination be x degrees.

therefore

for the angle of inclination

In ΔABC we have

[tex]tanx=\frac{12}{20}[/tex]

[tex]tanx=\frac{3}{5}[/tex]

[tex]x=tan^{-1} \frac{3}{5}[/tex]

[tex]x = tan^{-1}( 0.6)[/tex]

x = 31 degrees

Hence, the student must incline her camera at 31 degrees to take the picture of bird.

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While shopping Lucy spent 48$. If the amount she spent was 15% of her savings how much savings did she have. Before she shopped

Answers

Answer:

im not sure but i think its 55.2

Step-by-step explanation:

48+15%=55.2

Suppose the waiting time in a Piggly Wiggly checkout line follows an Exponential distribution with an average wait of 7 minutes. What is the 80th percentile of waiting times?

Answers

Answer: 11.3 minutes

Step-by-step explanation: Exponential Distribution is a distribution with function of the form:

[tex]f(x)=\lambda.e^{-\lambda.x}[/tex]

often related to an amount of time until an event occur.

The greek letter λ is decay parameter and have a relationship with the mean:

[tex]\lambda=\frac{1}{\mu}[/tex]

and x is the amount of time

Probability in exponential distribution is given by

[tex]P(x<X)=1-e^{-\lambda.x}[/tex]

Percentile is a value below which a percentage of the data falls.

For the waiting line in a Piggly Wiggly checkout, 80th percentile will be

[tex]P(x<h)=0.8[/tex]

[tex]P(x<h)=1-e^{-\frac{1}{7}h}[/tex]

[tex]0.8=1-e^{-\frac{1}{7}h}[/tex]

[tex]e^{-\frac{h}{7} }=0.2[/tex]

[tex]-\frac{h}{7} =ln(0.2)[/tex]

h = 11.3

The 80th percentile of waiting times is 11.3 minutes.

1-16? Please help, I’ll give you 50 points!

Answers

1. 7 x 9 = 63
2. base = 4 (24/6=4)
3. height = 12 (84/7=12)
4. height = 2.3 (11.5/5=2.3)
5. 5.875 x 4 = 23.5
6. Base = 1.78 (12.46/7=1.78)
7. 64 ft²
8. 34.31 m²
9. 441 cm²
10. 43.16 m²
11. 36 in²
12. R= 14cm²
S = 24 cm²
T = 54 cm²
U = 9 cm²
V = 30 cm²
W = 45 cm²
13. U is a rectangle
14. T is the rectangle with the greatest height
15. 88 ft²
16. The lasagna was 7 ft wide

During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.

A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.

What is the probability that a randomly chosen college student exercises in the morning or afternoon?

0.37
0.39
0.62
0.76

Answers

Answer:

WARNING! .39 AND .76 IS WRONG.

THE PEOPLE ABOVE ARE INCORRECT.

THE ANSWER IS EITHER .37 OR .62

I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.

(C)

ED2021

The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

From the given Venn diagram, we see that

Probability that the student exercises in the afternoon

P(A) = 0.14 + 0.37 = 0.51

Probability that the student exercises in the morning

P(M) = 0.25 + 0.37 = 0.61

Now, the probability that a randomly chosen college student exercises in the morning or afternoon

P(A ∩ M) = 0.37

Learn more about probability here;

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A sample survey was taken of 100 students to determine which of three homecoming themes students prefer

Answers

Answer:

c

Step-by-step explanation:

4 white marbles, 6 yellow marbles, 9 green marbles

Answer:

4 white marbles 6 yellow marbles and 9 green marbles

What is 0.6 repeating times 0.75​

Answers

Answer:

0.5

Step-by-step explanation:

0.6 repeating would be 2/3 (as a fraction).

0.75, as a fraction, is 3/4.

2/3 * 3/4 = 6/12

Simplify:
6/12 = 1/2

I need help pleaseeeeeee​

Answers

24 division
24 + 12 = 36 total
24:36 simplify = 2:3
The solution is 2:3

Answer:

1:2

Step-by-step explanation:

what is 7%o of 14.68​

Answers

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

Which relationship(s) has a domain of all real numbers?

Answers

3785 is the right answer

Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

The objective is to find the orthogonal trajectory of the family curves:

[tex]x^2+2y^2=17k^2[/tex]

The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]  

Differentiate the equation with the respect of x.

[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]

The negative reciprocal is:

[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]

Integration of the above equation:

[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]

Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]

Help please! I added an image so please help

Answers

Answer:

1=Square surface area is 24

2=triangle surface area is 6

3= surface area in total equal 48

Step-by-step explanation:

We are planning to buy a rug for the Sixth Grade Maker's Space. One of the
rugs that we could buy is 12 square meters. The width of the rug is 4 meters,
what is the length of the rug?
Pls help!

Answers

The length of the rug is 78mm

Un número cualquiera y número en lenguaje algebraico.

Answers

Answer:

No lo sé, pero intentaré encontrar una respuesta

Step-by-step explanation:

What is 20% of $10

Answers

10 * 0.20 = 2
20% of 10 is 2

BACK AT IT AGAIN WITH 100 POINTSSSSS!!! FIRST ONE TO ANSWER GETSSSSSS BRAINLIEST!!!!!

Answers

Thank you!!!!!!!!!!!!!

Answer:

me breolllllll please

What’s is the slope?

Answers

Answer: 1/2

Step-by-step explanation:

y=1/2x-3

one half would be the answer

Factor the expression using GCF: 16y + 4

Answers

Answer:

4(4y +1 )

Step-by-step explanation:

4 is common factor

4(4y +1 )

Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4

Answers

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

(7-15-3+5-7)×1 step by step​

Answers

Answer:

-13

Step-by-step explanation:

(7−15−3+5−7)⋅1

Subtract 15 from 7 to get −8.

(−8−3+5−7)×1

Subtract 3 from −8 to get −11.

(−11+5−7)×1

Add −11 and 5 to get −6.

(−6−7)×1

Subtract 7 from −6 to get −13.

−13

Answer:

the answer to this equation is 3

Step-by-step explanation:

have a great day


Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12

Answers

Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

What is the equation for the line in slope-intercept form? will give brainliest




Enter your answer in the box.

Answers

Answer:

y = 8x

Step-by-step explanation:

The slope is 8, the y-intercept is 0. The slope-intercept form is written:

y = mx + b

So this situation would be written y =  8x + 0 or just y = 8x.

Hope it helps!

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