Olga tried to solve an equation step by step.

\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned}

4

1



(

3

1



k+9)

3

1



k+9

3

1



k

k




=6

=24

=15

=5




Step 1

Step 2

Step 3




Find Olga's mistake.

Answers

Answer 1

Well formatted version of question :

Olga tried to solve an equation step by step

1/4(1/3k+9)=6

step 1- 1/3k+9=24

step 2- 1/3k=15

step 3- k=5

find olgas mistake

step 1

step 2

step 3

olga did not make a mistake

Answer:

Step 3

Step-by-step explanation:

Given the equation :

1/4(1/3k+9)=6

Step 1 : Olga multiplied both sides by 4

1/4(1/3k + 9) * 4 = 6* 4

1/3k + 9 = 24

Step 2 : Olga subtracted 9 from sides

1/3k + 9 - 9 = 24 - 9

1/3k = 15

Step 3 : Both sides should be multiplied by 3

1/3k * 3 = 15 * 3

k = 45

This is the step Olga made a mistake. Olga attempted to divide 15/3 = 5 instead of Multiplying 15 * 3 to obtain 45


Related Questions

Find the indicated probability
A class consists of 63 women and 67 men. If a student is randomly selected, what is the probability that the student is a woman?
ОА.
1
130
ОВ.
67
130
ОС.
63
67
OD
63
130
is this right ?

Answers

Answer:

the chance that he pick a woman student is 67/130 or 51.5 %

hey there, can help me to solve this

what is the value of x, if

[tex]x = \cos {}^{2} (60) + \sin {}^{2} (60) [/tex]

Answers

Answer:

may be the answer is 120

Geometry is the measurement of the physical world around you, it has so many applications. Think about an architect, why would geometry be important for anyone in that profession?

NEED HELP ASAP!!!!

Answers

Answer:

Geometry helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself. Geometrical tools like the protractor, ruler, measuring tape, and much more are used in construction work, astronomy, for measurements, drawing

Step-by-step explanation:

What does 730 dived by 2 over the power of 9 then multiply all by 7, then divided eveything by 36 cubed.? Can anyone help?

Answers

Nosse  pa jajjsja sajs f pa nel bro

Answer:

[tex]\frac{67073747877258500000000}{3}[/tex] = 2.24 × 10²²

Step-by-step explanation:

[tex]\frac{(\frac{730}{2})^9*7}{36}[/tex]  :

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

[tex]\frac{67073747877258500000000}{3}[/tex]

Decimal Form:

2.23579159 × 10²² ≈ 2.24 × 10²²

Help.Help.Help.Help. Km doing a test so I need the answer quickly
The sim of two consecutive off integers is 72. Find the numbers

Answers

Answer:

x + (x+2) = 72

2x + 2 = 72

2x = 70

x = 35

The two odd numbers are 35 and 37.

The number that lies between is 36.

Step-by-step explanation:

URGENT HELP PLEASE

The work of a student to solve the equation 2(3x - 4) = 8 + 2x + 4 is shown below:
Step 1: 2(3x - 4) = 8 + 2x + 4
Step 2: 5x - 6 = 12 + 2x
Step 3: 5x – 2x = 12 + 6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step? (5
points)

Answers

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

WILL MARK BRAINLIEST IF RIGHT !
A car rental company offers two plans for renting a car
Plan A: 30 dollars per day and 12 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

Answers

Answer:

Here you go

Step-by-step explanation:

It depends on how many miles they plan to drive as to which would be the better deal. Is there more context to the question?

Add the following lengths: 4' 9" + 7" =

Answers

Answer:

Your answer to this question is 16

The answer is 5’ 4”. All you do is add the 7 inches to the 4 feet 9 inches.

What is the missing step in this proof

Answers

Its A
Explaining step by step

Compare the values of the digit 8 in the number 6,084 and in the number 9,821

Answers

Answer:

Step-by-step explanation:

The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.

What’s the answer?!!!!!

Answers

Answer:

yes

because it has length, side and base

Answer:

No

Step-by-step explanation:

If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:

Perpendicular² + Base² = Hypotenuse²

{hypotenuse is the longest side in a right-angled triangle}

LHS : Perpendicular² + Base²

(15)² + (10)² = 225 + 100 = 325

RHS : Hypotenuse²

(17)² = 289

LHS ≠ RHS

Does not satisfy pythagoras theorem

So the triangle is not right angled

NO LINKS PLEASE. NEED REAL ANSWER AND EXPLANATION. THANKS!

Answers

Uhhh ur screen is blurry..post it again and I’ll answer it

EMERGENCY!!!!!!!! I need help right now please

Answers

Answer:

50 Degrees

Step-by-step explanation:

Since they already have 40 degrees for you, and a little square means a right angle (90 Degrees), then 40 + 90 is 130. The interior angles of a triangle always add up to 180, so 180 - 130 is 50. The answer is therefore 50 degrees.

Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
Did he get profit? If so find his profit percent. Step

Answers

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

(06.01)The scatter plot shows the relationship between the number of homework assignments turned in over a week and the test score for that same week:

art A: What is the group of points labeled X called? What is the point labeled Y called? Give a possible reason for the presence of point Y.
Part B: Describe the association between a student’s test scores and the number of homework assignments submitted.

Answers

Answer:

a: positive association, the y point is called a deviation

b: looks like the student scores are positive pattern (well accept for that little guy ..little y...)

Step-by-step explanation:

a reason: if you were to draw a line through those points it would be positive linear correlation and that one plot had nothing to do with the correlation

In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

Graph is given in relation of test score with student home work assignment. Relationship and association of the graph to be determined.


What is correlation?

Correlation implies that one of the subject or value related to other subject or value.


Here, from the graph the sets of value of x is increasing and having positive association. Other side y has only single value in it showing as deviation and nothing else.


Thus, In part a x represents the correlation and y represents the deviation, and in part b association between students test scores and homework assignment is positive.

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Find the indicated probability
The probability that Luis will pass his statistics test is 0.4. Find the probability that he will not pass his statistics test
O A. 20.00
OB. 2.50
O C. 0.6
OD. 66.67

Answers

Answer:

C. 0.6

Step-by-step explanation:

If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%

60% = 0.6 in this scenario.

There is a 0.6 chance he will fail.

find the radius, diameter, circumference, and area of this circle. ​

Answers

Answer:

Area of circle = 28.28 unit²

Radius of circle from center point = 3 units

Diameter of given circle = 6 units

Circumference of circle = 18.85 unit

Step-by-step explanation:

Given:

Circle in third quadrant

Radius of circle from center point = 3 units

Diameter of a circle = 2 x Radius of circle

Diameter of given circle = 2 x Radius of circle from center point

Diameter of given circle = 2 x 3 units

Diameter of given circle = 6 units

Circumference of circle = 2πr

Circumference of circle = 2(22/7)(3)

Circumference of circle = 18.85 unit

Area of circle = πr²

Area of circle = (22/7)(3)²

Area of circle = 28.28 unit²

For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 105 and a standard deviation of 9. What is the probability that a randomly
selected male's systolic blood pressure will be less than 100, to the nearest
thousandth?

Answers

Answer:

Suppose those rental rates have approximately a normal distribution, with a standard deviation of. $150. ... Canada, systolic blood pressure readings have a mean of 121 and a standard deviation of 16. A reading.

Probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

According to the question

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 9.

Probability that a randomly selected male's systolic blood pressure will be less than 100

P(x < 100)

By using normalized normal distribution

= [tex]N(\frac{100-105}{9} )[/tex]

= [tex]N(\frac{-5}{9} )[/tex]      

We have N(-a) = 1 - N(a), a>0                                    

= 1 -  [tex]N(\frac{-5}{9} )[/tex]      

= 1 - N(0.556)

= 1 - 0.6026

= 0.3979

≈ 0.397 (nearest thousandth)

So, probability that a randomly selected male's systolic blood pressure will be less than 100 is 0.397.

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A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

0 - 2 / 5 - 6

= 2

y = 2x + b

2 = 2(6) +b

2 = 12 + b

-10 = b

The equation is y = 2x - 10

A square is attached to a semicircle to make the figure shown in the diagram below .
if the radius of the semicircle is 4 meters ,what is the aproximate area of the figure .

Answers

Answer:

C) 89.12 m^2

Step-by-step explanation:

You can find the area of this figure by finding the areas of both shapes (semicircle and rectangle) then adding both areas.

To find the area of a semicircle, use this formula:

1/2πr^2 (1/2 x 3.14 x radius x radius)

Here, this radius is 4.

Now, we just plug in the numbers.

[3.14 is always used for π (pi)].

1/2 x 3.14 x radius x radius

                ↓

1/2 x 3.14 x 4 x 4 = 25.12

25.12 is the area of the semicircle.

Now, we must find the area of the square.

SQUARES ARE HAVE EQUAL SIDES, SO TO FIND THE AREA, WE SIMPLY MULTIPLY A SIDE LENGTH BY ITSELF TWICE.

8 x 8 = 64.

Now that we have both areas, we add to find the area of the figure.

25.12 + 64 = 89.12

Therefore, the area of this figure is 89.12 meters^2.

On a given day, eight rabbits, 12 mice, and four snakes are present on the mountain range. If each animal is equally likely to be caught and consumed, what is the probability that the wolf will eat two rabbits?

Answers

Answer:

7 / 69

Step-by-step explanation:

Rabbit = 8

Mice = 12

Snake = 4

Total = (8 + 12 + 4) = 24

If each animal has equal probability of being caught ;

Probability of catching a rabbit ;

Number of rabbits / total number of animals

P(catching 1 rabbit) = 8 / 24 = 1/3

P(catching 2nd rabbit) :

Number of rabbits left = 8 - 1 = 7

Total number of rabbits = 24 - 1 = 23

Hence, P(catching 2nd rabbit) = 7 /23

Probability of catching two rabbits :

1 /3 * 7/ 23 = 7 / 69

PLEASE PLEASE HELP!!

For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

11)

A= (B x H)/2

A= (2.9x3.2)/2= 4.64cm²

12)

A= (B+b)H /2

A= (12+10)5.6 /2 = 61.6in

Answer:

I think that the answer might be 9.30 for the first one and the second one I think is 670.

Step-by-step explanation:

To find the area, you have to multiply the height and width for the two figures.

3.2 × 2.9 = 9.28

12 × 10 × 5.6 = 672

I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.

betty saves 161 a month she saves 141 less than jack how much will jack save in two years

Answers

Answer:its 20

Step-by-step explanation:

because it is

Answer:

7248 A year

Step-by-step explanation:

Since the question was poorly described, i can only assume that Jack saves 141 more than betty and since the question didn't have any units i can't safely assume that 161 is (money)

2x + 1 = 7 solve the equation


pls help me im stuck on this question

Answers

Answer:

x = 3

Step-by-step explanation:

Brainliest Please!

Answer:

[tex]2x + 1 = 7 \\ 2x = 7 - 1 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3[/tex]

Consider the two solids shown.

What is the difference between the number of vertices of the two sides

Answers

Sheeeeesssshhhhhhhhh

Answer:

C. six

Step-by-step explanation:

A hexagonal prism has 18 edges and a hexagonal pyramid has 12 edges, therefore the difference between the number of edges of the two solids is six (6) because 18-12 is 6.

The word "difference" infers that we need to subtract numbers in order to find how many are left.

Can you answer this and explain ​

Answers

Answer:

600g chopped tomatoes, 450ml stock, 390ml red wine

Step-by-step explanation:

You need to divide the 3 ingredients by the minced beef to see the unit rate. ex. 800/400 = 2, 2 x 300 (current amount of minced beef) = 600.

Hi! Please explain how you got the answer! Thank you! :) ​

Answers

Answer:

(b) 6

Step-by-step explanation:

if n=5 and m=6

[tex] {6}^{2} - {5}^{2} \\ 36 - 25 = 11 \\ \\ 6 + 5 = 11[/tex]

11 less than 12

11 is greater than 10

The answer is B

Which is 6

Please help!!! I will mark brainliest

Answers

Answer:

option 2...........…..

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units. What is the perimeter of the rectangle in terms of x?

Answers

Answer:

(10x-2) units

Step-by-step explanation:

The perimeter of a rectangle is 2*length+2*width.

2(3x-4)+2(2x+3)

=6x-8+4x+6

=10x-2

The perimeter of a rectangle is ( 10x - 2 ).

Here,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

We have to find the perimeter of a rectangle.

What is the perimeter of a rectangle?

The sum of two times of length and width is called the perimeter of a rectangle.

Now,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

Since, The perimeter of a rectangle = 2 (length + width)

Hence, The perimeter of a rectangle = 2(3x - 4 + 2x + 3)

                                                         = 2 (5x -1)

                                                         = 10x - 2

Therefore, The perimeter of a rectangle is ( 10x - 2 ).

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Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

Answers

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

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