The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.

Answers

Answer 1

Answer:

10

   

Step-by-step explanation:

    Given line:

              F       G       H        I

         

 FI  = 18

Unknown:

FH = ?

Solution:

To find the line FH, we use the ratio given;

               FG : GH: HI

               3    :   2  : 4 ; Total  = 3 + 2 + 4 = 9

  Since FI is 18;

FH  = [tex]\frac{3 + 2}{9}[/tex]  x 18 = [tex]\frac{5}{9} x 18[/tex]  = 10

FH  = 10

   


Related Questions

please help ;(
john is j years old. the product of his younger brother’s and older sister’s ages is j^2-2j-15. how old are john’s brother and sister is terms of john’s age?

Answers

Answer:

[tex](j-5)(j+3)[/tex]

Step-by-step explanation:

[tex]j^2-2j-15=(j-5)(j+3)[/tex]

The age of John’s brother is j-5 and the age of John’s sister is j+3.

Given that, John is j years old. The product of his younger brother's and older sister's age is j²-2j-15.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The solution for j²-2j-15 is as follows

j²-2j-15

⇒ j²-5j+3j-15

⇒ j(j-5)+3(j-5)

⇒ (j-5)(j+3)

Therefore, the age of John’s brother is j-5 and the age of John’s sister is j+3.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ5

5,000,000
2.5 x 103
What is this in scientific notation and standard form

Answers

Solution:

1. 5 x 10^6
2. 2500

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

ANSWER PLS
thank you so much!

Answers

beep and peeb and bee and pee

Answer:

6

Step-by-step explanation:

the one E doesn't count so 3! is 3*2*1 which is 6

PLZ MARK ME BRAINLIEST

please help me with this

Answers

Answer:

d. 42 is the 100% correct answer....

Hopes it helps you.....

Hopes to get BRAINLIEST.......

Thank you ☺️

PLZ HELP ME WITH THIS IT IS SO CONFUSING ON 10 MINUTES LET PLZZZ ILL GVE BRAINLIEST

Answers

Answer:

f =  3x^2+ 1  / x

Step-by-step explanation:

Let's solve for f.

fx=3x2+1

Step 1: Divide both sides by x.

fx  / x  =  3x^2+1  / x

f=  3x2+1  / x

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = 3x² + 1

To obtain f(- 1) substitute x = - 1 into f(x) , that is

(8)

f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4

(9)

Similarly

f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1

(10)

Given

f(x) = 3x² + 1 and f(x) = 49, then equate right sides

3x² + 1 = 49 ( subtract 1 from both sides )

3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

That is x = - 4 or x = 4

Elizabeth made 80 cookies for the bake sale at school. She sold 35% of the cookies. How many cookies are left to sell tomorrow?

Answers

She has 56 cookies left

What is 2/3 as a decimal

Answers

Answer:

0.66 or 0.67 rounded

Step-by-step explanation:

2/3=

0.66

Answer:

0.6 or 0.666666666666666666666

If you multiply four negative numbers, what is the sign of the product? If you multiply five negative numbers, what is the sign of the product? Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression.

Answers

Answer:

If you multiply four negative numbers, what is the sign of the product? positive

If you multiply five negative numbers, what is the sign of the product? negative

Based on the answers to these questions and the product rules, write a general rule for the sign of the product based on the number of negative numbers in the expression.

even numbers of negative= positive

odd number equals= negative

Step-by-step explanation:

hope this helps

Answer:

if you multiply 4 negative numbers, sign of product is positive

if you multiple 5 negative numbers, sign of product is negative

Step-by-step explanation:

a negative times a negative is positive. to figure out the sign of a product, we can use -1 as an easy example.

[tex]-1*-1*-1*-1=1\\-1*-1*-1*-1*-1=-1[/tex]

Question !
Qa/ 4.2 - 1.5² +0.3 x0.7​

Answers

Step-by-step explanation:

8x+8−3(x+4)−7(2−x)

8x+8−(3x+12)−7(2−x)

8x+8−(3x+12)−(14−7x)

8x+8−3x−12−14+7x

(8x−3x+7x)+(8−12−14)

12x-18

At a movie theater tickets cost $9 for children and $12 for adults. A group of people bought tickets for a movie and bought 4 adult tickets and paid a total of $102 how many children’s tickets did they buy. Write an equation and solve the word problem.

I know they buy 6 children’s tickets but idk how to write the equation. URGENT HELP!!!!!!!!

Answers

Answer:

102-(12•4)÷9 hope this helps

Answer:

102= 6x+b

Step-by-step explanation:

A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans

Answers

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:

After 15 years?

(round to the hundredths place

Answers

Answer:

608.33

Step-by-step explanation:

Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!

Answers

1. c

2. c

3. a

4. a

5. d

Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit

Answers

Answer:

Jared transfers $55 to his checking account from his savings account.

Jared spends $55 from his checking account to purchase a college Algebra textbook

Jared withdraws $55 from his checking account

Hope this helps!

2. Given g(x) = x +5, find the following.
a. g(4)
b.g(-10)
c. g(0)

Answers

9514 1404 393

Answer:

  a)  9

  b)  -5

  c)  5

Step-by-step explanation:

Put the value of the argument where x is and do the arithmetic.

a)  g(4) = 4+5 = 9

b)  g(-10) = -10 +5 = -5

c)  g(0) = 0 +5 = 5

can someone help please

Answers

Answer:

Tissue

Step-by-step explanation:

Forgive me if I'm wrong but I'm 90 percent sure I'm not.

Happy almost Halloween!!

the answer is a tissue

f (x) = 8x^4 – 64

Factor completely

Answers

Answer:

8(x^4 - 8)

Step-by-step explanation:

Factor out an 8, since both 8 and 64 are divisible by 8:

f(x) = 8x^4 - 64

f(x) = 8(x^4 - 8)

So, the equation factored completely is 8(x^4 - 8)

Answer:

[tex]\huge\boxed{f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+2\sqrt2)}[/tex]

[tex]\huge\boxed{f(x)=8(x-2)(x^2+2x+4)}[/tex]

Step-by-step explanation:

[tex]f(x)=8x^4-64\qquad|\text{distribute}\\\\f(x)=8(x^4-8)=8\bigg[(x^2)^2-\left(\sqrt8\right)^2\bigg]\qquad|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x^2-\sqrt8)(x^2+\sqrt8)=8\bigg[x^2-\left(\sqrt[4]8\right)^2\bigg](x^2+\sqrt8)\\\\|\text{use}\ (a-b)(a+b)=a^2-b^2\\\\f(x)=8(x-\sqrt[4]8)(x+\sqrt[4]8)(x^2+\sqrt8)\\\\\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

taking into account the correction from the comment

[tex]f(x)=8x^3-64=8(x^3-8)=8(x^3-2^3)\\\\\text{use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\f(x)=8(x-2)(x^2+(x)(2)+2^2)=8(x-2)(x^2+2x+4)[/tex]

The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.​

Answers

Answer:

0.2

Step-by-step explanation:

Find the value of the expression below.
15 + 5 × 3
-------------- (fraction)
3² + 6

5
4
2

Answers

Answer:

2

Step-by-step explanation:

15 + 5 × 3

________

  3² + 6

For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:

(15+15)/(9+6)

Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:

30/15

Finally, we divide 30/15 to get 2 as our answer

2

Question 14
1 pts
Which of the following equations represents a line perpendicular to y=1/4x-1?
y = -3/2x+6
y = 3/2x-2
y = -2/3x+7
y = 2/3x-3

Answers

Answer:

its the first option, y = -3/2x+6

Step-by-step explanation:

What is the value of x?
A.9.4
B)7
C)-9.4
D)-7

Answers

Answer:

the answer is B

Step-by-step explanation:

You can automatically eliminate C and D because it is not a negative and the parallel is a positive number. Then you can eliminate A because it is not a decimal. To check your work you but 7 in for X and you will get 74°

Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)

Answers

Answer:

10

Step-by-step explanation:

Given coordinates:

       (-1,0) and (5, -8)

Unknown:

Distance between the two endpoints = ?

Solution:

     (-1,0) and (5, -8)

The equation for solving this problem is shown below;

      Distance  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]

x₁  = -1      y₁ = 0

x₂  = 5      y₂  = -8

      Distance  = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex]   = 10

The distance between the two points is 10.

The product of two
consecutive whole numbers is
132. What are the two
consecutive whole numbers?

Answers

Answer:

11 and 12

Step-by-step explanation:

x(x+1)=132

x^2+x=132

x^2+x-132=0

(x-11)(x+12)=0

x = 11 or x = -12

when x=11 ,

x+1=12

11*12=132

a printer can print 12 pages in 9 seconds what is the closest estimate of the number of pages it can print in 1 min

Answers

Answer:

estimated number of pages it can print will 80 in 1 min.

Step-by-step explanation:

If 12 pages/9 Seconds then by multiplying by 60 secs as there are 60 secs in 1 min.

we get

12/9 then multiply by 60 you will get 80 pages in 1 minute.

Number of pages a printer can print in 9 seconds = 12 pages

Number of pages than can be printed in 1 second =

= 12/9

= 1.3 pages

Number of pages that can be printed in 1 second = 0.75 page

Number of pages that can be printed in 1 minute =

= 1 minute = 60 seconds

Number of pages that can be printed in 60 seconds =

= 1.3 × 60

= 78 pages

Rounding off 78 , we get 80 .

Therefore , 80 pages can be printed in 1 minute .

Find the standard form for the equation of the line which
passes through the point (9,-46) and which has a
y-intercept of – 1.

Answers

Answer: Well I believe the answer is Y= x - 55

Step-by-step explanation:Hope that works :)

Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son:


a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2​

Answers

Answer:

In english pls

Step-by-step explanation:

Write the product as a power.
10 X 10 X 10 =

Answers

Answer:

10^3

Step-by-step explanation:

Answer:

10^3

Step-by-step explanation:

count how many 10s are there and that is the answer

(there are 3 tens so put the power as 3)

To check 10 X 10 X 10 is 1000

10^3 is 1000

Help me please with this question ???

Answers

Answer:

D. 1

Step-by-step explanation:

If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.

Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).

The difference of the y-coordinates is:

3 - 0 = 3

The difference of the x-coordinates is:

1 - (-2) = 3

Dividing these gives:

3/3 = 1

The slope is thus 1, and the answer is D.

~ an aesthetics lover

Please help ASAP it’s due today

Answers

Answer:

wouldn't it be 3:20 P.M.?

Answer:

3:20

Step-by-step explanation:

4:40- 1 hour 3:40- 20 equals 3:20

(5x+2x^2-3)-(6+x^2-8x)

Answers

Answer:

13x + x^2 - 9

Step-by-step explanation:

You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1  13x + x^2 - 9.

Other Questions
Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint. Need help with number 6 Ill mark you as the brainliest please help. A person who doesnt work lawfully in the United States. 1.alien 2.immigrant 3.resident 4.all of the above Explain answers I need it now plz A thermometer read -17 F at 1:00 a.m. By 2:30 a.m., the temperature had dropped 9.1 F. What was the temperature at 2:30a.m.? 3 These diagrams show where seeds from two differentplants were foundA. Which plant uses the wind to spread its seeds?B. Which plant's seeds are most likely to be spreadby animals? ..... You discovered a new species. Describe it using the 5 senses and give it a name What is nosotros/nosotras/ vosotros/vosotras? What disagreement do Aunt Alexandra and Atticus have aboutCalpurnia?A: That she can't cook very well.B: That they don't need her anymore.C: That she should live with them permanently.D: That they should pay her more for her services because she is veryimportant. Which two numbers have a product of 18 and a sum of 7? Given: angle EGF = 60 and Angle AGF = 90. Prove: AGB = 30I need two column proof btw solve for g when g=1/6(w+40) How does Belles financial life change when she leaves home to live with Everett 2How is acceleration related to force when mass is constant, according to Newton's second law of motion?A. The acceleration is directly proportional to the net force,OBThe acceleration is inversely proportional to the net force.C. The acceleration is inversely proportional to the square root of the net force.ODThe acceleration is directly proportional to the square root of the net force.ResetNext Question Plz help!What type of pledge could the narrator be referring to? Explain.'' Mrs. LeSane asked us to please stand, face the flag, place our right hands over our hearts, and say the Pledge of Allegiance. Children across the country do it faithfully. I wonder now when the country will face its children and say a pledge right back.'' The eruption of Mt. St. Helens was due to?O a. EarthquakeO b. VolcanoO c. Hot SpotO d. Transform Boundary a stone is projected vertically up with the velocity of 19.6m/s. calculate how long it takes time to travel 294m below the point of projection. The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning. The first Article in the Constitution is the Legislative Branch, this branch isalso referred to as.... *O TownsCongressO The Federals A train rolls at a constant speed of 10 m/s across a horizontal track. A child standing on the flatbed of the train throws a ball so that it appears to move straight up to an observer standing next to the track. a. What is the horizontal speed of the ball relative to the observer?