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

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

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

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:

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]

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

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

HELP WHICH ARE CORRECT ??

Answers

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

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

Can pls someone help me with my home work pls

Answers

(27.26604445073)

Step-by-step explanation:

This answer it's simple

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.

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)

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

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!

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!

classify the polynomial 11x^2-10x+7​

Answers

It equals 2 I did it

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

3954*54534-64563/5435

Answers

Hey There!

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

Hope it helps

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

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

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

Answers

Can you explain more

helpppppppppppppppppppppppp

Answers

Answer:

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

Answer:

D)

Step-by-step explanation:

“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

Find the area. Simplify your answer.

Answers

Answer:

10x + 9

Step-by-step explanation:

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

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

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

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

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

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

???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

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