Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15

Answers

Answer 1

Answer:

2/3 divided by 4/5 = 5/6

Step-by-step explanation:

Arianna working:

2/3 divided by 4/5

= 2/3 x 4/5

= 8/15

Correct working:

2/3 divided by 4/5

= 2/3 ÷ 4/5

Multiply 2/3 by the reciprocal of 4/5

= 2/3 × 5/4

= (2*5) / (3*4)

= 10/12

= 5/6

2/3 divided by 4/5 = 5/6

Arianna's mistake was she didn't multiply by the reciprocal of 4/5


Related Questions

Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?

Answers

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

WILL GIVE BRAINLIEST!!


Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000

Answers

Answer:

Letter C

Step-by-step explanation:

trust me its right!

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?

Answers

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm

PLZ HELP I DONT UNDERSYAND

cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.

A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters

(suggested by my sister plz help her ty)​

Answers

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

-6 George has a choice of a $7,200, simple interest loan at 3.8% that he has to start paying back after 3 years, or a $7,500, annual compound interest loan at 3.5% that he also has to start paying back after 3 years. Which method should he choose, simple or compound, and how much less interest will he owe using that method? (8.1A, 8.1B, 8.1C, 8.16) F Compound interest; $79.03 G Simple interest; $79.03 H Compound interest; $5.42 J Simple interest; $5.42​

Answers

Answer:

Compound interest; $5.42

Step-by-step explanation:

The ratio of the heights of two similar cylinders is 1:3. If the volume of the smaller cylinder is 67cm^3, find the volume of the larger cylinder. (Create two proportions, set them equal to each other and solve for x)

Answers

Answer:

1809 cm³

Step-by-step explanation:

Given the scale factor:

k = h/H = 1/3

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

v = 67 cm³V = x

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

v/x = k³67/x = (1/3)³x = 67*27x = 1809 cm³

Find the difference:
5 2
7 7​

Answers

If your referring to a Fraction which would be 5/7 and 2/7 the difference is 2/7 is not greater than 5/7 because to get the answer you convert each fraction into decimal numbers. We do this by diving the numerator by the seminar or for each fraction.

As you see here this is an example:

2/7=0.286
5/7=0.714

Then compare the two decimal numbers to get the answer. 0.286 is not greater than 0.714. Which means

2/7<5/7

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

If you were to 'unroll' the cylinder you would find the the side is actually a rectangle when flattened out.

Answers

Step-by-step explanation:

true

and the top and bottom are just circles

The statement is true whenever the cylinder is unrolled the result will be the rectangle.

What is a cylinder?

The Cylinder is a solid geometry with right straight sides and has a circular cross-section.

If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.

Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.

To know more about cylinders follow

https://brainly.com/question/23935577

#SPJ2

Part K
You have established that circles A and B are similar. What conclusion can you make about any two given circles?

Answers

Answer:

i dont see a circle

Step-by-step explanation:

Answer:

All circles are similar.

Step-by-step explanation:

Because circles are the same shape, they are similar by nature.

please help me graph the equations y=3x and 6x+2y=12

also please tell me the coordinates

Answers

Answer:

The coordinates are x=1 y=3

Step-by-step explanation:

HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10

Answers

Answer:

The interquartile range is 5

Find the lowest common multiple (LCM) of 56 and 42

Answers

Answer:

168

Step-by-step explanation:

PLSSSSSSSSS HELP MEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

Uhhh what?

A. 120
B. 30
C. 90
D. 45

Answers

C.90 bc it’s a right angle
The answer is c 90 degrees big daddy

Brayden purchased a new car in 1995 for $ 20 , 000 $20,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $ 6 , 800 $6,800 in the year 2000, then what would be the predicted value of the car in the year 2006, to the nearest dollar?

Answers

Answer:

$1863

Step-by-step explanation:

The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].

r is the depreciation rate (which can be found first)

t is the time since the initial purchase

y is the value of the car at time t

[tex]y_0[/tex] is the initial purchase price (t = 0)

Year 0 is 1995.

2000 is year 5.

So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]

To solve for r take the logarithm of both sides.

[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]

Now find the value of the car in 2006, which is year t = 11.

[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]

330 sixth graders were asked what their favorite sport is. If 20% said baseball how many students said baseball was their favorite sport

Answers

Answer:

66

Step-by-step explanation:

330/1000 by 20(...)=66

You have 160 songs on your playlist. The probability of randomly choosing a rock song is 30%. How many of the songs on your playlist are not rock songs?

A. 48
B. 112
C. 30%

Answers

Answer:

Hello! Answer: B

Step-by-step explanation:

Because 112 is 70% of 160

The answer is A. 48

looked it up.

Heres just another one and my answer was 417.45 and says I’m wrong I’m I missing something?

Answers

Answer:

805.05333.....

Step-by-step explanation:

To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]

but since 20.7 is not the height then you would need to find it

So imagen a line down the very middle of the pyramid

and connect that with the 20.7in line then connect it again and that makes a triangle.

So there is a formula and it is a²+b²=c²

in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7

a²+5.5²=20.7²   --->   428.49-30.25=a²   --->398.24=a²  --->19.955951.....=a

11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....

Answer:

volume = 805.05 in³

Step-by-step explanation:

Here's my calculations.

first, finding the true height (not the slope length):

using the Pythagorean theorem:

height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24

height = √398.24 = 19.96 in

base = 11 x 11 = 121

volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³

Find the length of BC .

72
54
40.5
108

Answers

value of n=72

Answer:

∆ABC~DEF

since the side of similar triangle are proportional

[tex] \frac{AB}{DE} = \frac{BC}{EF} [/tex]

[tex] \frac{54}{9} = \frac{n}{12} [/tex]

6×12=n

n=72

A) Work out the size of angle x. B) Give reasons for your answer.

Answers

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

please answer question 5 on the picture tysm xx

Answers

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?

a) 17
b) 30
C) 15
d) 8

Answers

Answer:

you correct answer should be 17

Trig homework. Find the two missing sides and write your answer as in simplified radical form.

Answers

Answer:

u = 8, v = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{2} }{u}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

u = 8

The triangle is right isosceles with legs congruent, so

v = 4[tex]\sqrt{2}[/tex]

I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?

Answers

Answer:

8.3% probability

Step-by-step explanation:

(3) YELLOW  ⇒   [tex]\frac{3}{12}[/tex]   ⇒  25%

(5) BLUE       ⇒   [tex]\frac{5}{12}[/tex]   ⇒  41.6%

(4) RED         ⇒   [tex]\frac{4}{12}[/tex]   ⇒  33.3%

║(12) IN TOTAL

[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] = 8.3%

PROBABILITY OF (1) RED, AND (1) YELLOW  ⇒ 8.3% probability

Jillian is given $15 to buy snacks and drinks. If Jillian spends 2/3 of her money on snacks and the rest on drinks, how much money does she spend on drinks, in dollars?

Answers

Answer:

$5

Step-by-step explanation:

The amount of money spent on snacks is

2/3 × $15= $10

15-10= 5

=$5

or

1/3 ×15

= 5

How many numbers are from k to n? (Including k and n.)

*Do not give me a wrong answer, as you may be blocked. Only answer if you know it!

Answers

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

What is the missing number 30 ÷ 10 = 30 · ?
Please helpppppp

Answers

Answer:

hi

Step-by-step explanation:

i think it is 1/10

hope it helps

have a nice day

DUE AT 12 SO LIKE HURRY



Arthur's brother wants to borrow some money. Arthur decided to lend him $1000 at 2% simple interest. If the loan will cost his brother $50, how much time does he have before he has to pay Arthur back. (See Example 2 in your notes.)

a
2 years
b
2.5 years
c
3 years
d
3.5 years

Answers

Answer:

2.5

Step-by-step explanation:

Answer: b. 2.5 years

Step-by-step explanation:

The formula for Interest is:

= principal × rate × time

Then, we slot in the values given which will be:

Interest = principal × rate × time

50 = 1000 × 2% × Time

50 = 1000 × 0.02 × Time

50 = 20 × Time

Time = 50/20

Time = 2.5 years

He has 2.5 years to pay back

A pasture with horses and goats has a width
of 1/4 mile. The length of the pasture is
represented by x + 8 . Which pair of expressions
represents the area of the pasture and uses the
distributive property to show equivalence?

Answers

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Tony bought 48 roses for $24. How much do 24 roses cost?

Answers

Answer:

$12.

Step-by-step explanation:

48 divided by $12 = $12.

Please mark brainiest thank you

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