Point E is between segment DF. The length of DE is 3x - 1, EF is 13 and DF is 6x, find DF.

Answers

Answer 1

Answer:

The correct answer to this problem is x = 4.

Step-by-step explanation:

To solve this problem, we can set up an equation using the given information.  We know that Point E lies along the segment DF, so we can write:

DE + EF = DF

Now, we can substitute the values given into our equation.

(3x-1) + (13) = 6x

The next step is to eliminate the parentheses and combine like terms on the left side of the equation.

3x - 1 + 13 = 6x

3x + 12 = 6x

Next, we should subtract 3x from both sides to move all of the variable terms to the right side of the equation.

12 = 3x

Finally, we can divide both sides by 3, in order to completely isolate the variable x on the right side of the equation.

4 = x

Therefore, the correct answer is x = 4.

Hope this helps!


Related Questions

You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?

Answers

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

7 ∙ 1 – 4 ∙ 1/4. Please answer!!!

Answers

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Find the distance between each pair of points (-2,3) , (-7, -7)

Answers

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

3y + 2 ayuda necesito esto para hoy :(

Answers

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!

what is the answer to this equation. -12 = 5x

Answers

Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

On a bookshelf there are 5 paperback books and 3 hardcover books. Is the ratio of books to hardcover books 5 : 3? Explain.

Answers

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

i need to do those exercises but i’m not sure how

Answers

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))

Answers

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

Composition of function:

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

Learn more about the Polynomials here:

https://brainly.com/question/2833285

the difference of six times a number and 7 is -49.​

Answers

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

What is an Algebraic Expressions?When we apply the mathematical operations on constants and variables then we get the mathematical statements, these are known as algebraic expressions.The mathematical operators include, division, addition, multiplication and subtraction.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

Learn more about the Algebraic Expressions here: https://brainly.com/question/4348710?referrer=searchResults

#SPJ2

Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?

Answers

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

HELP ME PLEASE THIS IS RIGHT ONE DONT GIVE WRONG ANSWER PLS 3

Answers

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

13. John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. The
bill for the food was $8.70, plus 2 sodas for $0.75 each, including tax. How much
money back should just John receive if he pays for his half with a $20 bill?

Answers

John will receive $9.80 back

In how many ways can 5 people sit around a circular table

Answers

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

Solve the equation for the variable.

[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

6v²-19v-36

College Prep Math

Answers

(3v+4)(2v-9) is there anything specific like favorite for grouping ?

Ari is jogging at an average rate of 2.25 meters per second. Find the time it will take him to jog 270 meters.

Answers

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

To know more about jog:

https://brainly.com/question/14495883

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Simplify the expression by combining like terms 3x^2-2x+4x-x^2+3-x

Answers

Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

Evaluate a+b+c when a=4.035, b= -17, and c=12.3

Answers

The answer will probably be -0.665

Can someone help me with this question? Thanks if you do!

Answers

Here’s the answer, hope this helps :)

A taxi charges $2.00 for the first mile and $1.60 for every additional mile. Rachel is taking a trip that is 4 miles long. How much will she be charged?

Answers

She should pay $6.80
She would pay exactly $6.80

Is the following sometimes, always, or never true? If two lines intersect to form congruent adjacent angles, then the lines are perpendicular.

Answers

Answer:

sometime

Step-by-step explanation:

If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x

Answers

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x


Solve the equation
-2(2x - 4) = 4x
Write it step by step. I really need help

Answers

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Here buddy !!!!!!!!!!!

Solve for n.
F=9/5(n-67)

Answers

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides
9/5 F + 67 = N

Hope this helped

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

f(x)+x^2+7 Find X if f(x)=23

Answers

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

describe the discontinutiy for the function f(x)= x^2+5/x-5

Answers

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

Its the same dropdown for every question, what is the answer for each one

Answers

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

(2,2), (-3,3) find the distance between the two points round to the nearest tenth.​

Answers

Answer :

[tex]d = \sqrt{26} [/tex]

The answer is Square root 26
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