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

1. Tell me if each of the following is True or False A. Angles EOD and DOC are Vertical Angles. B. Angles FOD and Angle DOC are adjacent C. Angles FOD and AOC are equal D. The sum of the measurements of Angles of AOC and BOC and equal to FOD E. FOE and DOD are completely Angles F. Angles FOA, AOB, and AOC are Supplementary Angles​

Answers

Answer:

Do you have any Images?

Step-by-step explanation:

Answer:

I don't get it.

Step-by-step explanation:

Hey, I really need help on this! This work is really hard and I just need a little help to get this right. Thank you!

Answers

length: 5

width: 2

height: 3

5x2= 10

10x3= 30

your answer would be 30

Answer:

40 cm³

Step-by-step explanation:

The information we have about the volume of Prism Y is only that it is 10 cm³ greater than the volume of Prism X. So, we have to first find the volume of Prism X.

The volume of a rectangular prism is found by multiplying the length, width, and height of the figure. X has dimensions of 2 × 5 × 3, so we will multiply these together.

2 · 5 · 3 = 30

The volume of prism X is 30cm³.

Prism Y is 10 cm³ greater than this.

30 + 10 = 40

Prism Y has a volume of 40 cm³.

Good luck :)

i cant tell if i did this wrong

Answers

Answer:

d = 2*5 = 10

Step-by-step explanation:

What is the volume of the cargo area of the moving truck?

A. 696 cubic feet

B. 756 cubic feet

C. 824 cubic feet

D. 888 cubic feet

Answers

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Write -0.5 repeating as a fraction or mixed number

Answers

Answer:

Step-by-step explanation:

1/2 as a fraction

Calculate the average rate of change for the graphed sequence from n = 2 to n = 4.
(2 points)

Answers

Answer:

Average rate of chage = [change of y] / [change of x] = [- 10.125 - (-.35)] /[4 - 2] =

= -3.3125

Answer: option B.

Step-by-step explanation:

please mark as brillant

Answer:

B.) −3.3125

Step-by-step explanation:

I am doing the test on flvs right now.

Which graph represents a quadratic function with a negative discriminant?

Choice 1
Choice 2
Choice 3
Choice 4

Answers

Answer:

Choice 4

Step-by-step explanation:

#4   because the graph does not intersect the x-axis

The graph that represents a quadratic function with a negative discriminant is graph 4.

What is a Discriminant?

The part in the formula of a quadratic equation that helps us to know the nature of the roots of a quadratic equation is known as a discriminant.

D = b2 - 4ac,

If the value of the discriminant is greater than zero then the roots of the equation are real and distinct,If the value of the discriminant is equal to zero then the roots of the equation are real and same, andIf the value of the discriminant is less than zero then the roots of the equation are imaginary.

Since for the value of the discriminant to be negative, the roots of the quadratic equation should be imaginary. Also, imaginary never intersects the x-axis of the graph.

Now, in the group of the graphs the only graph that does not intersect the x-axis of the graph or have imaginary roots is graph 4.

Hence, the correct option is graph4 (Bottom Right).

Learn more about the Discriminant here:

https://brainly.com/question/15884086

#SPJ2

-5 1/4+ 2 4/6


I NEED AN A ON THIS ​

Answers

Answer:

-2 7/12

Step by step answer:

Which answer describes the type
of sequence?
3, 4, 7, 11, ....

neither arithmetic nor geometric
geometric
arithmetic

Answers

arithmetic is the answer

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

Find the value of x by finishing solving the system shown below.

Answers

Answer:

x = 10

Step-by-step explanation:

Since both equations give y in terms of x, equate the right sides

3x - 28 = - 2x + 22 ( add 2x to both sides )

5x - 28 = 22 ( add 28 to both sides )

5x = 50 ( divide both sides by 5 )

x = 10

What does the slope and y-intercept mean?

Answers

Answer:

D

Step-by-step explanation:

f(x) = 3 1/3x + 35    slope: 3 1/3, y-intercept = 35

f(x) = mx + b

slope↑      ↑y-intercept

help BRAINLES tysmm

Answers

Answer:

64 units^2

Step-by-step explanation:

A = 1/2*b*h

A = 1/2 * 16 * 8

A = 64

Answer:

64 units

Step-by-step explanation:

Power usage is measured in kilowatt-hours, kWh. After 7 a.m., the power usage on a college campus increases at a rate of 21% per hour. Prior to 7 a.m., 15,040 kWh have been used. The university has a daily goal to keep their power usage less than or equal to 100,000 kWh.

Which of the following inequalities can be used to determine the number of hours, t, after 7 a.m. when the power usage on campus will be less than or equal to 100,000?A.
15,040(0.79)t ≤ 100,000
B.
15,040(1.79)t ≤ 100,000
C.
15,040(1.021)t ≤ 100,000
D.
15,040(1.21)t ≤ 100,000

Answers

Answer:

D. 15,040(1.21)t ≤ 100,000

Step-by-step explanation:

The 15,040 is the prior electricity, and it increases by .21 per hour, and you don't want 100,000

To make an equation, use the simple interest formula (same concept)

Total = Amount(1 + rate) time

fill it out

100,000 >= 15,040(1.21)t

This equation is the same as D so D is the answer

Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.

Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.

1. f(0) = 50. (8 points)

2. f(120) > f(60). (8 points)

3. f(360) = f(345). (7 points)

4. f(390) < f(360). (7 points)

Answers

Answer:

Step-by-step explanation:

1. f(0) = 50. (8 points)  The beginning temperature of the turkey was 50 degrees.  The '0' represents "beginning."

2. f(120) > f(60). (8 points)  The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).

3. f(360) = f(345). (7 points)  The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.

4. f(390) < f(360). (7 points)

The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.


WILL GIVE BRAINLIEST!!

4. Eva Truett had an open-end lease for a minivan for her home
decorating business. The lease cost $315 per month for
60 months. She paid a deposit of $1,200, a title fee of $135,
and a license fee of $85. At the end of the lease, she can buy
the van for its residual value of $3,850.

(not answer choices below)
a. What is the total lease cost?
b. What is the total cost if she buys the van?

Answers

Answer:

She paid a deposit of $315, a title fee of $65, and a license fee of $120. At the end of the lease, she can buy the van for its residual value of $3,850

315+120=435= 3,850➗ 65= 59.2307692308

59.2

Step-by-step explanation:

brainliest?

y = x+1
3x + y = -7
Plot two lines by clicking the graph.
Click a line to delete it.
10
Solution:
Submit Answer

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(

2
,

1
)
(
-
2
,
-
1
)
Equation Form:
x
=

2
,
y
=

1

Solve for the value of k. ​

Answers

k=6

have an amazing day bye!

Answer:

Hello! k = 6

Step-by-step explanation:

40 + 90 = 130 so our last angle must be 50 sense this will add up to 180 so k = 6 because 7 x 6 = 42 and 42 + 8 = 50 so answer 6

The height of a triangle is three feet longer than the base. The area of the triangle is 44 square feet. Find the height and base if the triangle.​

Answers

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Ms. Hill goes to a burger place in California and orders 5 hamburgers and 3 fries and 6 hamburgers and 2 fries. What could she do to make her order simpler?

Answers

she can order 11 burgers and 5 orders of fries

I got 80% on a major grade. It's not that bad, right?

Answers

Answer:

no, that's good

Step-by-step explanation:

I'm pretty sure that's a b, so it's good

Answer:

No thats good cause last year i had a 60% as my major grade but i got 92% this year

Step-by-step explanation:

NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:

Answers

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Where is the coefficient in 5/7+c

Answers

Answer:

coefficient is 1 because 5/7 is the constant, which c is the varible, but there is no coefficient, which is automatically 1

For which of the funds shown would you pay the most commission on the purchase of 100 shares?
a.
Green Energy
b.
TJH Small-Cap
c.
Upton Group
d.
WHI Health

Answers

Answer:A.Green Energy (took on endgenuity)

Item 16 The solids are similar. Find the surface area S of the red solid. Round your answer to the nearest tenth.

Answers

reertttAnswer:

treryeryutruytruw

Step-by-step explanation:

tryutrytry

As shown in the diagram below, quadrilateral WXYZ is inscribed in a circle and m∠WZY = 69 degrees

Find the m∠WXY

Answers

9514 1404 393

Answer:

  m∠WXY = 111°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  m∠WXY = 180° -m∠WZY

  m∠WXY = 180° -69°

  m∠WXY = 111°

select ALL the answers that are correct.

Answers

Answer:

A,C

Step-by-step explanation:

PLEASE HELP
I DONT UNDERSTAND
In the diagram below, DE AE, BA | CE, CB || D A and mZE = 54°. Find mZC.​

Answers

Answer:

angle D should be equal to angle C

Step-by-step explanation:

i think this is the answer you need but i'm not sure

Solve the equation. Round your answer to the nearest 10th if necessary

p2 + 24 = 159

a
12.6
b
11.5
c
12.5
d
11.6

Answers

Answer:

d. 11.6

Step-by-step explanation:

11.6 is the answer. Hope that hels

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{p^2 + 24 = 159}[/tex]

[tex]\large\text{SUBTRACT 24 to BOTH SIDES}[/tex]

[tex]\mathsf{p^2+24-24=159-24}[/tex]

[tex]\large\text{Cancel out: 24 - 24 because that gives you 0}[/tex]

[tex]\large\text{Keep: 159 - 24 because it helps you solve for p}[/tex]

[tex]\mathsf{159 - 24 = \bf 135}[/tex]

[tex]\large\text{New equation: }\mathsf{p^2 =135}[/tex]

[tex]\large\text{TAKE your SQUARE ROOT}[/tex]

[tex]\mathsf{p=\pm 3\sqrt{135}}[/tex]

[tex]\mathsf{\sqrt{135}=3\sqrt{15} \ OR\ -\sqrt{135} = -3\sqrt{15}}[/tex]

[tex]\large\text{Original answer: }\mathsf{\underline{p=3\sqrt{15}\ or\ p = -\sqrt{15}}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf D. 11.6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

allie has 1 jar of peanut butter that cost 32 cents per ounce. there are 5 ounces in the jar. how much does the jar cost?

Answers

Answer:

The peanut butter jar costs 1.60 cents

Step-by-step explanation:

Answer: 160=$1 and 60cents

which is equivalent to y=(x-4)(x-2)?
1.y=x^2+2x-8
2.y=x2+6x+8
3.y=x^2-6x+8
4.y=x^2-2x-8​

Answers

Answer:

C

Step-by-step explanation:

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