1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake

Answers

Answer 1

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]

Step 1.

Cross multiplying,

[tex](\dfrac{1}{3}k+9)=24[/tex]

Step 2.

Subtract 9 from both sides

[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]

Step 3.

Cross multiplying

[tex]k=15\times 3\\\\k=45[/tex]

So, there is an error in step 3. The correct answer should be 45.


Related Questions

Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in

Answers

Answer:

90 in²

Step-by-step explanation:

The diagram isn't attached :

However, taking the base of the parallelogram, b as 15 in

The height as 6 in

And the Slant height as 8 in

The Area of a parallelogram is given as :

Area, A = Base, b multiplied by height, h

A = b * h

Hence, Area of the above parallelogram is:

A = 15 in * 6 in

A = 90 in²

Please help FASTTTT!!!!!!

Answers

Answer:

Step-by-step explanation:

if its only 1 base i chose to do the 8x20 (bh)

so 160 km squared

Answer:

going with the side that's facing towards you 8 × 20 = 160

Step-by-step explanation:

PLZ HURRY
Name 3 statistics a box and whisker plot does not tell you about the data

Answers

Can you explain more

HELP PLEASE and show work

Answers

Answer:

[tex] \boxed{\stackrel{\Large\frown}{PQS}\:= 222°} [/tex]

Explanation:

Since [tex] \overline{PR} [/tex] is a diameter, arc [tex] \stackrel{\Large\frown}{PQR}\:= 180°. [/tex]

Given that [tex] \angle{SUR} = 42°[/tex] is a subtended central angle by two diameters,

[tex] \stackrel{\large\frown}{RS} \:= 42° [/tex].

Using the rule of arcs, [tex] \stackrel{\Large\frown}{PQR} + \stackrel{\large\frown}{RS} \: = \: \stackrel{\Large\frown}{PQS} [/tex] →

[tex] 180° + \: 42° = \: \stackrel{\Large\frown}{PQS} [/tex]

[tex] 222° = \: \stackrel{\Large\frown}{PQS} [/tex]

[tex] \stackrel{\Large\frown}{PQS} \: = \: 222° [/tex]

HELPP MEEE PLease it's do today at 11:30

Answers

Column A
X=9
X=8
X=7
X=84
X=4 1/6

Classify the triangle as acute, right, or obtuse.
48°
72°
60°
A acute
Bright
C obtuse

Answers

Acute because all angles are less than 90 degrees

Can pls someone help me with my home work pls

Answers

(27.26604445073)

Step-by-step explanation:

This answer it's simple

1/2h - 12 = -5 How can you isolate the term 1/2h

(?) (?) on both sides...



Thank you for responding and looking have a nice day ;)

Answers

Divide by “h-12” on both sides

Can you please help me THANK YOU

Answers

Answer:

For thursday the mean is 9.5

Step-by-step explanation:

Add up all the numbers together and you will get 57, count the amount of numbers which are 6.. Divide 57 by 6 and get 9.5

What is the average rate of change for this function for the interval x=2 to x=4?

Answers

Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

[tex]\frac{32-8}{4-2}[/tex] = [tex]\frac{24}{2}[/tex] = 12

Harry has a cube with a side length of 7 cm. What is the volume of Harry's cube?

Answers

Given,

Side = 7 cm

We know that,

Volume of a cube = side³

So, volume of Harry's cube

= (7 cm)³

= 343 cm³

Hi, here's a quick explanation;

if the given length is 7, and your object is a cube,

you'd cube 7,

which is =  7³

aka:   7 × 7 × 7

therefore,

the answer is 343.

Hope this helps you out!!    :D

Nick ran a race in 14.56 seconds. Casey ran the race in 14.58 seconds. At which place value are nick's and Casey's race times different

Answers

Answer:

The hundredths place is where its at

Answer:

Hundredths place.

Step-by-step explanation:

Hi so their race times are the same up to that fourth number.

In a number with a decimal anything after the dot goes: tenths, hundredths, thousandths and so on.

In both number we  just go two more places so it would be hundredths.

Hope this helps! Have a great day/night <3

“What kind of exponent does this graph have “ will give brainliest!

Answers

Answer:

Can i put down no clue lol

But the answer should be EVEN

Step-by-step explanation:

Answer:

even

Step-by-step explanation:   lol i was about to pick no clue

A local fast-food restaurant can serve
150 people in an hour. At this rate, bow
long would it take to serve 600 people?
(1) 1 hr
(2) 2 hr
(3) 3 hr
(4) 4hr

Answers

Answer:

4 hours, 150 x 4 = 600 pls give brainliest

1/5, 0.25, 20.5%, 4/25, 0.22

Answers

Answer 22%

Step-by-step explanation:

Answer:

so I guess I have to put those numbers in a order.

smallest to largest:

4/25, 1/5, 20.5%, 0.22, 0.25

largest to smallest:

0.25, 0.22, 20.5%, 1/5, 4/25

Step-by-step explanation:

1/5 = 0.2

20.5% = 0.205

4/25 = 0.16

Have a nice day!

HELP WHICH ARE CORRECT ??

Answers

The second (-35 + 21x) and the fourth one (21x-5) are true. The rest of them are false.

1/2x + 3/5 as the product of a constant and sum of terms

Answers

Answer:

Step-by-step explanation:

Do you mean that you want to create a distributive statement with 1/2 on the outside and a sum of 2 terms on the inside of a set of brackets? That's pretty wordy, but I mean something like

1/2 (x + a)

1/2*a = 3/5                  Multiply both sides by  2.

a = 2 * 3/5

a = 6/5

Answer

1/2 ( x + 6/5)

???Anyone knows answer??

Answers

Answer:

30feet

Step-by-step explanation:

I don't know the requirement to get full mark but can work through the equation but:

The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,

let x be the height of the tree

6/4=x/20

6/4*20=x

x=30 feet

3954*54534-64563/5435

Answers

Hey There!

[tex]3954 \times 54534 - (64563 \div 5435) \\ = 215627436 - 11.88 \\ = 215627424.120[/tex]

Hope it helps

3. On Wednesday, a sudden snowfall delayed school busses and caused
12 of Ms. Jackson's 25 students to arrive late to class. What percent of
students made it on time? *

Answers

60% of students made it on time

helpppppppppppppppppppppppp

Answers

Answer:

[tex]3 < x \leqslant 4[/tex]

Answer:

D)

Step-by-step explanation:

25 x10^6 in standard form

Answers

Answer:

25x10^6 in standard form is 2.5×10^7

Step-by-step explanation:

Hope this helped!

A triangle has sides with lengths of 100 inches, 56 inches, and 80 inches. Is it a right triangle?

Answers

Answer:

No.

Step-by-step explanation:

If these sides come out true in the Pythagorean Theorem, then it is a right triangle.

a² + b² = c²

56² + 80² = 100²

3136 + 6400 = 10000

9536 ≠ 10000

Since these values do not come out true in the Pythagorean Theorem, it is not a right triangle.

Answer:

Possibly, A right triangle has a really long side that is "c" in the picture. If the 100 length is c then the 80 one could be "b" while the 56 is "a"

I know it doesnt make much sense but I hope it helps

I see people looking at mine because its simple but you should look at the other guys awnser. He has information and details that explain their awnser. I didn't really do much to get the awnser. Look at theirs Please.

A triangle has congruent angles. Two of the angles measure 68° and 56°. How many degrees are in the third angle?
A. 68
B. 18
C. 56
D. not enough information

Answers

Answer:

C. 56

Step-by-step explanation:

So if the total amount of degrees in a triangle is 180

(degrees = 180(n-2), d = 180(3-2), d = 180), then 180 = 68 + 56 + x

solve the equation for x

180 = 68 + 56 + x

180 - 68 - 56 = x

x = 56

worth 14 points please help I need a expert

Write an equation to represent the angle?

What is the value of x?

Answers

Answer:

x=13

Step-by-step explanation:

we can guess that the three angles are a linear pair and equal 180

in this case we can start writing a equation

x+105+62=180

now we can subtract both whole numbers from 180 but that takes longer, so we will combine the whole numbers on the left side.

x+167=180

now we can go ahead and subtract 167 from both sides. by doing so, it isolates the x and gives you your answer

180-167=13

so... x=13

classify the polynomial 11x^2-10x+7​

Answers

It equals 2 I did it

For every 1000 hits a channel gets it makes £2 from ad revenue.
How many hits are required to make £25? Please help ASAP will mark brainliest. ​

Answers

Answer:

12500

Step-by-step explanation:

$2 are received for 1000 hits

So, $1 received for 1000/2 = 500 hits

Number of hits required to make $25

= 25*500

=12500

the fastest 3 runners in a race qualify for the next event. how many different groups of Runners could advance to the next event from a race that has seven runners​

Answers

Answer:

35 different groups of 3 runners can be selected

Step-by-step explanation:

Here, we want to simply calculate the number of 3 runners that can advance in a race from a total of 7

What we want to do here is to simply get different groups of 3

So, we have it that we simply want to know the number of different ways we can select 3 from a total of 7

We can simply use combination for this;

We have the general combinatorial as;

nCr = n!/(n-r)!r!

With respect to this particular question, n = 7 and r = 3

So we have;

7C3 = 7!(7-3)!3! = 7!/(4)!3! = 35

mrs. Kenny teaches a ceramics class. She finds that she has 7/8 of a pound clay project. The project requires 1/6 of a pound. how many projects can Mrs. Kenny complete without running out of clay?

Answers

Answer:

5 1/4

Step-by-step explanation:

Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:

= (7/8) ÷ (1/6)

To divide fractions, we need to invert the second fraction and multiply:

= (7/8) × (6/1)

Simplifying the fractions, we get:

(7 × 6)/(8 × 1) = 42/8 = 5 1/4

Thus,

Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ3

Find the area. Simplify your answer.

Answers

Answer:

10x + 9

Step-by-step explanation:

Other Questions
Shaq has to find the area of a triangle. the area can be determined by the equation A=18w, where A is area and w is width of the rectangle. what is the constant of proportionality? This is a glitch ? Scheduling personnel is an example of an operations management: A. mission implementation B. operational decisionC. organizational strategyD. functional strategy E. tactical decision if 14 men can cultivate 42acres of land in 18weeks, how many weeks will 21 men working at the same rate take to cultivate 56 acres of land Some one help ASAP!! Read the excerpt from "Exploring Mars.But that hasn't stopped the stories. Some people still believe that extraterrestrials built the face. Others say the face is just the result of pareidolia. This is the tendency to imagine a familiar thing where it doesn't exist.Which sentence contains the central idea of the excerpt?But that hasn't stopped the stories.Some people still believe that extraterrestrials built the face.Others say the face is just the result of pareidolia.This is the tendency to imagine a familiar thing where it doesn't exist. What is the formal charge on the phosphorus in the PO43- polyatomic ion? PLEASE HALP!!!!!!!Select the correct answer.Which of the following describes the form of a pyramid?OA.three triangular sides and a square base.four squares and a triangular baseOC.four triangular sides and a square base "Marvin Gaye- what's going on" how does this song connect with the Vietnam war? cite specific evidence from the song During Year 1, Ashkar Company ordered a machine on January 1 at an invoice price of $28,000. On the date of delivery, January 2, the company paid $6,000 on the machine, with the balance on credit at 10 percent interest due in six months. On January 3, it paid $1,400 for freight on the machine. On January 5, Ashkar paid installation costs relating to the machine amounting to $2,300. On July 1, the company paid the balance due on the machine plus the interest. On December 31 (the end of the accounting period), Ashkar recorded depreciation on the machine using the straight-line method with an estimated useful life of 10 years and an estimated residual value of $4,000.Required: Indicate the effects (accounts, amounts, and or- of each transaction (on January 1, 2, 3, and 5 and July 1) on the accounting equation. what if life for teenagers now compared to the 1950's? the effect that floods can have on the environment and society Does the United States have the right to intervene in the affairs of other nations PART B: Which phrase from paragraph 2best supports the answer to Part A? A Jews felt the effects B Many of those laws were national ones C individuals in all levels of government throughout the country were involved D No corner of Germany was left untouched How would you describe the change in the area controlled by Japan between 1942 and 1944? Question 4: QA: once is the depth of each diver for three minutes from nowQB: in how many minutes will the assistant be 33.3 m below the surfaceQC: according to the algebraic model, in how many minutes will the divers be at the same depth WILL MARK BRAINLIEST I REALLY REALLY NEED THIS ANSWER Which part of North America became the center of trade for the colonists is it north south or west Which thetorical strategy is used in the following example:Trevor stormed up the stairs and slammed his bedroom. He threw himself on his bed and began to cry. Charlie was his dog, too, so why didn't he get to determine if the dangerous surgery waswhat's best? Charlie seemed just fine. Tears sped down his cheek as fast as race cars and began to puddled on his pillow.A. SimileB. SummaryC. personificationD. repetition The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?A. 6 + 4 + 18B. 2(6 + 4 + 18)C. 32(18)D. 4(6)(18)