Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

Answers

Answer 1

Step-by-step explanation:

Our problem:

[tex] \frac{2}{3} \div \frac{4}{5} = unknown[/tex]

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

Find the reciprocal:

[tex] \frac{2}{3} \times \frac{5}{4} = unknown[/tex]

Multiply:

[tex] \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} [/tex]

Simplify:

[tex] \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]

5/6 is your answer.


Related Questions

Joshua wants to complete the first mile of a 8−mile run in 20 minutes or less running at a steady pace. The inequality 8 − p3 ≤ 7 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality. Then graph and interpret the solution.​

Answers

Answer:

p >= 1/3

Step-by-step explanation:

to solve the inequality you must start by subtracting 8 to all sides

you will get -3p <= -1

then you divide everything by --3

you end with p >= 1/3

your answer is p >= 1/3

My wife can run 4 miles in 22 minutes. What is her time (in minutes) per each mile she ran?

Answers

Answer:

5.5... five minutes and thirty seconds

Step-by-step explanation:

Find the volume of the pyramid.

Answers

Answer:

360 yd^3

Step-by-step explanation:

volume of hexagonal pyramid = √3/2 * s^2 * h

s = side

here side is not given. but base area is given

area of hexagon = 3√3/2 a^2

45 = 3√3/2 s^2

s^2 = 30√3 yd^2

volume = √3/2 * 30√3 *8

= 30 * 3 * 4= 360 yd^3

ASAP HELP! BRAINLIEST! can someone help me with this? i need work shown. will mark brainliest!

Answers

Answer:

  4x^2 +12x +44 remainder 161x +84

Step-by-step explanation:

At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...

  (4x^4)/(x^2) = 4x^2

The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.

You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.

  [tex]\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}[/tex]

Ms. Pena is grading math tests. If 212 x 51 = 10,812, is the student’s work below correct? Explain
2.12 x 5.1 = 1.0812

Answers

No, a common rule of multiplying decimals is to count the amount of decimals places in the equation, there’s one decimal place in 2.12 and one decimal place in 5.1 meaning that in the answer the decimal should be in the second position. In this case the answer would be 2.12 x 5.1 = 10.812, the student is wrong because he had his decimal in the wrong position.

How many data values are closer than one mean absolute devitation away from the mean? 34,37,48,32,25,34,35,23,33,30. HELP ME PLEASE

Answers

First find the mean:
Which is the sum of all of the values divided by number of values.
Using online calc: mean = 33.1.
Now to find the MAD or mean absolute deviation: which is |value-mean| for each value.
For example abs(34-33.1) = 0.9 this is the absolute deviation. Now we do this for each point and find the mean of all of those values.
Using online calc we get Mad = 4.5
So one away from the mean up and down would be
37.6 — 28.6
So values one MAD away plus or minus would be: 34,37,32,34,35,33,30
Which is 7.

Caden owns 9 white t-shirts and 9 t-shirts in other colors ? If Caden randomly selects a t-shirt to wear, what is the probability it will be white?

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

it is 1/2 or 9/18

Step-by-step explanation:

there was 18 shirts all together and half were white

good luck!

Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial investment, Evan invests $10,000 in an account earning 7% interest, compounded annually for 7 years. Given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar) A) Evan earned $820 more in interest in his account than Steven. B) Steven earned $820 more in interest in his account than Evan. C) Evan earned $1,249 more in interest in his account than Steven. D) Steven earned $1,249 more in interest in his account than Evan.

Answers

Steven earned $820 more in interest in his account than Evan.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter. The compound interest earned is given by the formula,

[tex]A_1 = P(1+\dfrac{r}{100})^n - P[/tex]

In order to compare the two of the given investment, we need to find the interest in each of the investments.

For the investment made by Steven of $20,000 at 3% interest compounded annually for 10 years. The interest that Steven made is,

[tex]A_1 = P(1+\dfrac{r}{100})^n - P\\\\\\A_1 = 20,00(1+0.03)^{10}-20,000\\\\\\A_1 = \$6,878.33[/tex]

For the investment made by Evan of $10,000 at 7% interest compounded annually for 7 years. The interest that Evan made is,

[tex]A_2 = P(1+\dfrac{r}{100})^n - P\\\\\\A_2 = 10,00(1+0.07)^{7}-10,000\\\\\\A_2 = \$6,057.82[/tex]

Now, if we find the difference in the interest earned by the two of the given person.

The difference in the interest earned

= Interest earned by Steven - Interest earned by Evan

= $6878.33 - $6,057.82

= $820.52 ≈ $820

Hence, Steven earned $820 more in interest in his account than Evan.

Learn more about Compound Interest:

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Laura, Maria, and Nathan had 2 1 4 cups of milk to share for breakfast. Laura poured some milk on her breakfast cereal. Then she gave the remaining 2 3 of the milk to Maria. How many cups of milk did Laura give to Maria

Answers

The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups

How to calculate fraction

Total cups of milk to share = 2 1/4 cups

Laura = x

Maria = 2/3 cups

Total = Laura + Maria

2 1/4 = x + 2/3

2 1/4 - 2/3 = x

9/4 - 2/3 = x

(27-8) / 12 = x

19/12 = x

= 1 7/12

Therefore, the cups of milk Laura gave to Maria is 19/12 cups

Learn more about fraction:

https://brainly.com/question/11562149

best answer gets brainliest

Answers

Answer:

c and b hope it helps you in the long run

It will be c because when you do the equation they will give the answer a

Factor completely 5ab(x 6) − 4(x 6). Prime (x 6)(5ab 4) (x 6)(ab) (x 6)(5ab − 4).

Answers

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ab(x + 6) − 4(x + 6).

Take (x + 6) common, then we have

5ab(x + 6) − 4(x + 6)

(x + 6)(5abx − 4)

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

D

Step-by-step explanation:

best choice

x reduced by 5 is less than 12

Answers

Answer:

x < 17

Step-by-step explanation:

im guessing its simplify the equation.

just add 5 to both sides and positive 5 cancels out the subtract five.

twelve + five is 17.

2
For the ratio in Problem 1. how many red
chips are in the bucket if there 44 blue
chips in the bucket?

Answers

There would be 22 red chips in the bucket containing 66 total chips.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let us assume the ratio of red chips to blue chips is 1:2.

Hence, if there 44 blue chips in the bucket:

(2/3) * total chips = 44

Total chips = 66

Number of red chips = (1/3) * 66 = 22

There would be 22 red chips in the bucket containing 66 total chips.

Find out more on equation at: https://brainly.com/question/1214333

what is 57.82 ÷ 0.784 (show ur work long divison)

Answers

Answer:

73.75

Step-by-step explanation:

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000[/tex]

[tex]\frac{57820}{784}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 784\overline{|\smallspace57820}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace4\emptyspace8\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace9\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{57.82}{0.784}\:\mathrm{is}\:73.75[/tex]

Hence, the correct answer is 73.75

Choose ALL answers that describe the polygon FGHI if FG=GH=HI=IF and m angle F=m angle G=m angle H = m angle I

Answers

If all the sides and all angles are equal. Then the geometry is known as a square. Then the correct option is E.

What is a square?

It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The polygon FGHI

If the sides are FG = GH = HI = IF and the angles are ∠F = ∠G = ∠H = ∠I

From the definition, all sides are equal and all angles are equal. Then the geometry is known as a square.

More about the square link is given below.

https://brainly.com/question/13747846

#SPJ2

12. Given two segments with lengths x and y (x not equal to y), what
special parallelograms meet the given conditions? Draw a sketch for
each scenario.
a. Both diagonals have length y and do not intersect at right angles.
b. One diagonal has length x, the other has length y. The diagonals intersect at right
angles.

Answers

Answer:

I'm pretty sure,

1. Is a Trapezoid

2. Is a Rhombus

Step-by-step explanation:

Look at a picture of them,

1. A trapezoid has equal length diagonals, but because of the outer legs? if you want to call them that, they're at an angle, same with its vertices, so, the angles at which they bisect are not right angles.

2. A Rhombus, has diagonals that are not the same length, one is longer than the other. Therefore, that solves the first part of the question. And when they bisect, they bisect at right angles because the side lengths of a Rhombus are congruent.

I've been stuck on this for a few hours.

A sock drawer contains 10 white socks, 6 black socks, and 8 blue socks.
If 3 socks are chosen at random, without replacing the first sock, what is the probability of getting first a black sock, then a white sock, then a blue sock?

Thanks!

Answers

Answer:

As a fraction: 10/253

As a decimal: 0.0395 (3 sf)

As a percentage: 3.95% (3 sf)

Step-by-step explanation:

white socks = 10black socks = 6blue socks = 8Total number of socks = 24

Therefore, the probability of picking a black sock is:

P(black) = 6/24

As the sock is NOT replaced, we now have one less black sock:

white socks = 10black socks = 5blue socks = 8Total number of socks = 23

So the probability of picking a white sock:

P(white) = 10/23

As the sock is NOT replaced, we now have one less black sock and one less white sock:

white socks = 9black socks = 5blue socks = 8Total number of socks = 22

So the probability of picking a blue sock:

P(blue) = 8/22

Therefore, P(black) and P(white) and P(blue)  is:

6/24 x 10/23 x 8/22 = 480/12144 = 10/253 = 0.03952... = 3.95%

Scott bought three sets of weights that weighed 25.002 pounds each. How much did all three sets weigh together? O 8.334 O 22.002 O 50.004 75.006​

Answers

Answer:

75.006

Step-by-step explanation:

Determine if the equations are intersecting, parallel, or coincident.
bx - ay = 2

ax + by=3

-Intersecting
-Coincident
-Parallel

Answers

Answer:

Intersecting

Step-by-step explanation:

What is another way of writing the following expression?
4+ 5+2
А
4(5+2)
B
4x5x2
с
(4 + 5) + 2
D
(4 + 5) + (4 + 2):

Answers

It would be c. You always start with what’s between the parentheses. So start with 4+5 which equals 9. Then you’ll do 9+2 which is 11. And there’s your answer

Answer: I am going to evaluate this question. The anwser is 99

Bob has 28 bars. He gives 7 bars to 4 friends each. How many bars did each friend get?

Answers

Answer:

7

Step-by-step explanation:

It says "he gives 7 bars" to each of 4 friends.

Answer:

7

Step-by-step explanation:

28/4 = 7

Each friend gets 7 bars

Have an amazing day!

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Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?

Answers

⭒━━━━━━⭑━━━━━━⭒

Given :

Circumference = 29.8

[tex] \\ [/tex]

To find:

[tex] \\ [/tex]

Radius of circle

[tex] \\ [/tex]

Solution:-

[tex] \\ [/tex]

We know:-

[tex] \rm circumference = 2\pi r[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \looparrowright \sf circumference = 2\pi r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf 29.8= 2\pi r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r[/tex]

[tex] \\[/tex]

[tex] \looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \dfrac{1043}{220} = r[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf r = 4.74[/tex]

⭒━━━━━━⭑━━━━━━⭒

B᭄rainlyVIP ࿐ ㋛

There are 60 students in a class. Out of the 60 students, there are 15 girls. Jill is the name of 5 of the girls.
What is the probability that a girl named Jill will be selected at random?

Mark all that apply.
A- 15/60
B- 1/12
C- 5/15
D- 5/60
E-1/3​

Answers

Answer:

E or c

Step-by-step explanation:

The demometer is the maximum amount of the number of jills in the group so if 5 out of 15 in the group is named jill then turn it into a fraction like 5/15

But you could simplify by findin the similar factirs then dividing them by the equivalent amounts

!!!ANSWER NEEDED!!!
Seventh-grade students were surveyed about their favorite color. The results of the survey were recorded in the following tally chart.
According to the experiment, what is the probability of selecting a student whose favorite color is red?

Enter your answer as a percent, like this: 42%

Answers

Answer:

16%

Step-by-step explanation:

25 students total

4 liked red

4 / 25 = 0.16

0.16 = 16%

i hope this helps! have a wonderful rest of ur day :)

In a certain Algebra 2 class of 20 students, 8 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

3/4

Step-by-step explanation:

add the students who play baceball and basketball together it will be your numerator

the total amount of students will be your denomanator

then simplify

by the way there can not be 23 students in a class that only has 20 kids so this answer may be wrong according to your wording

sorry

how many terms of the arithmetic series 3+9+15.... will add up to 19200?​

Answers

Answer:

32 005

Step-by-step explanation:

use this formula

Tn = a +(n-1)d

The equation 2 w 2 − 18 w + 40 = 0 can be solved to determine w, the width in feet of a rectangular enclosure. Which value represents a possible width of the rectangular enclosure?

Answers

Answer:

w = 5

w = 4

Step-by-step explanation:

I think im right lol

A breakfast food company has decided to shrink the size of its cereal boxes by 5%

If the boxes currently hold 20 oz of cereal, how much less cereal will be contained in the new boxes?

Answers

Answer:

1oz

Step-by-step explanation:

5% as a decimal is .05

.05 x 20= 1

3. The angle measures of a triangle are shown in the diagram. What is the
value of x?
(HINT: If you aren't able to solve it using an equation, you can plug in your answer choices
to see which one gets you to the correct tolal for the interior angles of a triangle.)
500
((2x)"
30°

Answers

Answer:

x=50

Step-by-step explanation:

angles in a triangle add up to 180 degrees

hence, 50 + 2x + 30 = 180

solving for x

50 + 2x + 30 = 180  

combine like terms

2x + 80 = 180

subtract 180 from both sides

2x = 100

divide both sides by 2

x = 50

Answer:

x=50

Step-by-step explanation:

50°+30°+2x = 180° (sum of all angles of a triangle)

or, 2x +80°= 180°

or, 2x = 180°-80°

or, 2x=100°

or, x= 100°/2

therefore,x°=50°

Again,

2x = 2×50°=100°

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A welder is commissioned to make a gold metal cone from a cylindrical cone form, as shown. The height of the cylinder is 66 centimeters, and the diameter of the cylinder is 20 centimeters. The welder purchases tubs of material to fill up the shaded portion of the form to make the gold cone. The formula for the volume of a cone is V = 1 3 π r 2 h , while the formula for the volume of a cylinder is V = π r 2 h .

Answers

The shaded portion is equal to 13816cm^3

Data;

Height = 66cmd = 20cm

Volume of a Cylinder

The formula of volume of a cylinder is given as

[tex]v=\pi r^2 h[/tex]

Let's substitute the values and solve

[tex]v = \pi r^2 h\\\\r = d/2\\d = 20\\r = 20/2 = 10cm\\v = 3.14 * 10^2 * 66\\v = 20724cm^3[/tex]

Volume of a Cone

The volume of a cone is given as

[tex]v = 1/3 \pi r^2 h\\v = 1/3 * 3.14 * 10^2 * 66\\v = 6908cm^3[/tex]

The space remaining from creating the cone out of the cylinder is

[tex]20724 - 6908 = 13816cm^3[/tex]

The shaded portion is equal to 13816cm^3

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