The points H, I, J and K all lie on the same line segment, in that order, such that the

ratio of HI:IJ: JK is equal to 3: 3:4. If HK - 40, find IJ.

Answers

Answer 1

Answer:

IJ = 12

Step-by-step explanation:

sum the parts of the ratios, 3 + 3 + 4 = 10 parts

Divide HK by 10 to find the value of one part of the ratio.

40 ÷ 10 = 4 ← value of 1 part of ratio , then

IJ = 3 parts = 3 × 4 = 12


Related Questions

Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6

Answers

Answer: x=2 y=4

Step-by-step explanation: elimination method attached below.

Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…

Answers

Answer:

YesStep-by-step explanation:

sequence of numbers such that the difference between the consecutive terms is constant.

the constant is 2 (Ex. 18-2=16-2=14....) and your answer is

yes

A serving of rice is 3/4 of a cup. How many servings are there in a 3 3/4-cup bag of rice?

Answers

Answer:

16 I think

Step-by-step explanation:

Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait

Answers

Answer:

the answer is 14

Step-by-step explanation

the math problem is just 2+19-7 or 21-7

Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)

Answers

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences

Answers

What people??? No detail Lol

What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)

Answers

The slope is the difference in y for every increase in x. So we can divide:
(Y2-y1)/ (x2-x1)
= (6-4)/(3-9)
= 2/-6
= -1/3

Which means that for every increase in x, y decreases by 1/3.

Find the y-intercept of the line on the graph.

Answers

Answer:

The y-intercept is 0

Step-by-step explanation:

The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.

Answer: -1

Step-by-step explanation:

help!!! math-----

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

Answers

The answer would be B and D because the slope stays consistent throughout the entire table unlike all of the other options.

B and D because in B the frequency is consistently jumping 6 forward and in D it’s jumping by 5 in all the frequencies.

how many 5 digit numbers can be formed using all the digits 1, 2, 3, 4, and 5, such that the number is odd and greater than 40000?

Answers

Answer:

25

Step-by-step explanation:

Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)

f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t

Answers

Answer:

C. f(t) = 66 * 0.995^t

Step-by-step explanation:

Required function is:

f(t) = 66*(1 - 5/100)^t = 66*0.005^t

The matching option is C

5. Use the word bank to complete the sentences below. Write the matching letter next to the correct word that makes that statement true. (5 points) ​

Answers

Answer:

A- x-intercept

B- y-intercept

C- x-coordinate

D- y-coordinate

E- solution

Step-by-step explanation:

Mai sold t- shirts at a festival and made a profit of $83. She made $5 for each t-shirts she sold. Her total expenses were. How many t-shirts did she sell

Answers

Answer:

21 T-shirts, (this is just a thought of what i think i need to do) Hope it helps

Step-by-step explanation:

I think iv seen this question somewhere so did u forget to put 22?

Here is the explaination if u did...

5T -22 = 83

revenue minus expense = profit

5T = 83+22 = 105

T = 105/5 = 21 T shirts sold

PLEASE HELP QUICK! 50 POINTS IF YOU HELP!!
I WILL GIVE PERSON BRAINLY IF THEY GET IT RIGHT!!!
match the equations of the lines with their graphs.

Answers

Answer:

Assuming the graphs are abcd, 1 is b, 2 is c, 3 is a, and 4 is d.

Step-by-step explanation:

Find the slope of the line represented by each table of values

Answers

Answer:

-5 is the slope

Step-by-step explanation:

Here is the formula

y2-y1

____

x2-x1

represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width​

Answers

1. If the square of a number is added to 8 times the number, the result is 100.

Let x be the number.

Equation: x² + 8x - 100 = 0

2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.

Area: 30ft²

Length: 7w

Width: w

Area of a rectangle: LW

(7w)w = 30ft²

Equation: 7w² - 30 = 0

What is the slope, m, of a line perpendicular to the line 2x+3y=6

Answers

Answer:

m = 3/2

Step-by-step explanation:

3y = -2x + 6

y = -2/3x + 2

Perpendicular slope = inverse = 3/2

What is the missing value?

Answers

Answer:

I guess 5⁴ is Missing value

 please help me quickly

no random links i will report :)

Answers

Answer:

B

Step-by-step explanation:

what other information is needed to prove the two triangles congruent by sas?

Answers

Answer:

We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.

Step-by-step explanation:

HOPE IT HELPS :)

ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Answers

Answer:

All even natural numbers

Step-by-step explanation:

This is an AP with:

The first term = 1Number of terms = nCommon difference = 2

Find the sum of the first n terms:

[tex]S_n= n(1+2n-1)/2=n^2[/tex]

The sum is divisible by 4 if n is even number:

n = 2k ⇒ n² = 4k² ≡ 0 mod 4

PLS FINDD THIS THIS IS DUE IN 10 MINNNNNN!!! PLEASE DO WITH CLEAR STEPSS!!! I'LL MARK U BRAINLIEST

Answers

Answer:

There is no question to answer.

Step-by-step explanation:

Answer:

Where is the question ?

Let Q be in the interior of angle POR . Use the Angle Addition Postulate to solve for x. Find the measure of each angle.
angle POQ=(1/3x + 1/3)°
angle QOR=(2x+ 4/3)°
angle POR=(5x-1)°

Answers

Answer:

X=1

POQ= 1/3x+1/3= 1/3(1)+1/3=2/3

QOR= 2x +4/3= 2(1)+4/3= 10/3

POR= 5x-1= 5(1)-1= 4

Step-by-step explanation:

he table shows ordered pairs of the function y= 8-2x What is the value of y when x=8 ?

A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.

–20
–8
8

Answers

Step-by-step explanation:

Reorder

8

and

2

x

.

y

=

2

x

+

8

sorry if wrong

Which linear inequality represents the solution set graphed?

A) y ≥ 4x + 5

B) y > 4x - 5

C) y ≥ 4x - 5

D) y > -4x - 5

Answers

Answer:

C

Step-by-step explanation:

first of all since the line is solid then we know that the answer is not D or B.

so it has to be either A or C.

now to graph it let's start with A.

you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.

now let's try with C.

you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.

In 1846 the depth of the river was 5 feet deep. In 1847 it dropped to 3.2 feet. This year, 1848, it rose to 6.8 feet. Find the percent for EACH change in river depth

Answers

Answer:

1846= 0% change

1847= 3.2/5 ×100 = 64% decrease in river

1848= 6.8/3.2 ×100 = 212.5% increase

( used 3.2 because that was the last record)

The average in-state tuition in Florida for the 2018- 18 2019 school year was about $13,700. If the tuition is expected to increase by 15%, what is the expected tuition for the 2019-2020 school year?

Answers

The answer is $15,755

A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?

Answers

Answer:

0.3 pounds

Step-by-step explanation:

[tex]0.5 - 0.2 = 0.3[/tex]

Solve each absolute value equation
-4[x] + 10 = 50

Answers

[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]

[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{Given equation,}\\[/tex]

[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]

Now, multiply -4 from (x) to get -4x.

[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]

Now, +10 will move to RHS then it's sign will be charged -10

[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]

Subtract 50 from -10 to get 40. Because 50 is greater than -10.

[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]

[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]

[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]

find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Answers

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

a = 1b = 2Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

Refer to the attachment

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