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

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:

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

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:

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

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

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

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]

(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.

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!

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 :)

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

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.

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

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

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

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 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

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:

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]

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

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:

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 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°

please help me with this

Answers

Answer:

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

Hopes it helps you.....

Hopes to get BRAINLIEST.......

Thank you ☺️

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

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

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

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