Mathematics Middle School

What is the product?

5k/6 . 3/2k^3

Answers

Answer 1
pls go help me at 

https://brainly.com/question/8858488 

and your answer is 5l4k^2
Answer 2

Answer:  The required product is [tex]\dfrac{5}{4k^2}.[/tex]

Step-by-step explanation:  We are to calculate the following product:

[tex]P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.[/tex]

We will be using the following property of exponents:

[tex]\dfrac{a^x}{a^y}=a^{x-y}.[/tex]

We have

[tex]P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.[/tex]

Thus, the required product is [tex]\dfrac{5}{4k^2}.[/tex]

Related Questions

when 4 is added to the difference between 5 times a number and 9 the result is greater than 10 * to 4 times the number what's the number

Answers

5x - 9 > x*10^4
5x - 9 > x * 10000 I hope I'm reading the question correctly.
5x > 10000 x + 9
x > 10000/5 x + 9/5
x > 2000x + 1.8
0 > 1999x + 1.8
- 1.8 > 1999x
- 1.8 / 1999 > x
- 0.0009004 > x

HELPPPPPP
Safety standards require a pool to add 3 chlorine tablets to every 2,000 gallons of water. Today, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10,000 gallons of water. How does Park Pool's chlorine compare to the safety standards?

Answers

They have less chlorine than the safety standards require.

Answer: With the help of Ratio we can compare Park Pool's chlorine to the safety standards.

Step-by-step explanation:

Since we have given that

Safety standards requires a pool to add 3 chlorine tablets to every 2,000 gallons of water.

Number of chlorine tablets = 3

Volume of water = 2000 gallons

So, Ratio will be

[tex]3:2000\\\\=1:\frac{2000}{3}\\\\=1:666.67[/tex]

Now, According to question, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10000 gallons of water.

So, Number of chlorine tablets = 8

Volume of water = 10000 gallons

So, Ratio will be

[tex]8:10000\\\\1:1250[/tex]

Hence, with the help of Ratio we can compare Park Pool's chlorine to the safety standards.

If 5 pounds of broccoli cost is $12 then how much will 7 pounds of broccoli cost?

Answers

7 pounds costs $16.4 I think


Ok so, 5 pounds is 12$, since we can't count by 5's to get our answer we can divide 12 by 5 to see how much one pound would cost.

12 / 5 = 2.4

One pound of broccoli costs $2.40, SO. To find how much 7 pounds would cost we multiply 7 by 2.4.

7 x 2.4 = 16.8

So, 7 pounds of broccoli costs $16.80

Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet. *Make sure to look at the sign of the slope and include in your answer. Positive or negative? Please help me quick

Answers

the slope goes downwards and that means its a negative slope.
slope means rises over run. and with the facts that we know, it gives us m=-15/24

Answer:

15/24 i think'

Step-by-step explanation:

A rope is 72 feet long. What is the length of the rope in yards

Answers

24 yards hop this helps
The answer is 24 you find how many yards are in a foot =3 72÷3=24

If postage costs $.54 the 1st ounce and $.22 for each additional ounce calculate the cost of mailing a 10 ounce envelope.

A. $5.40
B. $2.20
C. $5.08
D. $2.52

Answers

0.54+(0.22*9) is equal to 2.52

Determine which of the following situations requires the distributive property in order to simplify the expression. Select all situations that apply.

x(2y)
9(x ∙ y)
9(x + y)
(7 ∙ a)(b)
(7 - a)(b)
(2 ∙ x) ∙ y

*(OML PLEASE HELP ME ON THIS IT'S DRIVING ME NUTS!)*

Answers

9(x + y)
(7 - a )(b)

9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means that only one term can be multiplied by the term outside the parenthesis. 

 (7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means that only one term can be multiplied by the term outside the parenthesis. 

This floor has a grape juice stain. Tyler wants to cover the stain with the green carpet. Perform a series of two or more transformations to cover the stain. You must use at least two of the following types of transformation: reflection, rotation, translation, dilation.

Answers

rotation and dilation
rotate it clockwise 90 degrees then translate it to the right 4 units and up 5 units 

Jose creates a scale drawing of a character from one of his comic books using a scale factor of 40%. Caroline wants to use Jose’s scale drawing to create the original-size image of the comic book character. What scale factor will Caroline need to use to draw the original-size image?

Answers

Going from the original to the drawing had a scale factor of 40%=0.4=4/10.  Reversing this process, going from the drawing back to the original, would use the reciprocal of this, or 10/4=2.5=250%.

250% is scale factor will Caroline need to use to draw the original-size image.

What is Scale Factor?

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.

Given:

Scale Factor= 40%

As, Jacob use the scale factor= 40%

So, the new image size

= 100 x 40/100

= 40

let Caroline use x% scale factor

then, 40x/100= 100

x= 100 x 100 /40

x= 250%

Hence,  250% is scale factor will Caroline need to use to draw the original-size image.

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What is the range of this dot plot? I'm stuck between the answers 8 and 9.

Answers

Lowest value dots are plotted at 0. Highest-value dots are plotted at 9.
The range is the difference between these extremes.
.. 9 - 0 = 9

Plies sambedy help problem 5.

Answers

no she wont because it starts the 5th and every 10 days she has practice. she will have it on the 25 and 35

10:10 - 6:20 =
WITH REGROUPING

Answers

The way I subtract or add time is breaking it down.

6:20 + 40 = 7:00
10:10 - 2:40 = 7:00

2:40 is the answer.

20 POINTS, PLZ HELP!

The circumference of a circular tabletop is 72 π inches. What is the area, in square inches, of the tabletop?


144π

5185 π

1296 π

36π

WILL MARK BRANLIEST 20 POINTS!

Answers

Hi,

] The circumference=72π, this the radius will be found as follows:
C=2πr
therefore radius r will be:
2πr=72ππ
r=(72ππ)/(2π)
r=36
hence:
Area=πr²=π(36)²=1296π



23=30-g;6,7,8 what is the solution

Answers

7
30-7=23
7=g
Solve the equaton backwards to get the answer

What is the distance between points S and U?

Round to the nearest tenth of a unit.

3.3 units
6.4 units
8.1 units
12.0 units

Answers

distance = sqrt((6-2)^2 +(8-1)^2)
sqrt(16 +49)
sqrt(65)
8.06
round to 8.1 units
ANSWER

The correct answer is C.

[tex] |SU| = 8.1units[/tex]


EXPLANATION

The given points are,
[tex]S(2,1) \: \: and \: \: U(6,8).[/tex]


We use the distance formula to determine the distance between the two points.



[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]


We substitute the points to obtain,

[tex] |SU| = \sqrt{(6- 2) ^{2} + (8 - 1) ^{2} } [/tex]

We simplify to obtain,

[tex] |SU| = \sqrt{(4) ^{2} + (7) ^{2} } [/tex]



We further simplify this to obtain,

[tex] |SU| = \sqrt{16 + 49} [/tex]



[tex] |SU| = \sqrt{65} [/tex]

This evaluates to,

[tex] |SU| = 8.062[/tex]



We round to the nearest tenth to get,

[tex] |SU| = 8.1units[/tex]


Find the angles of the rhombus if the ratio of the angles formed by the diagonals and the sides is 4:5.

Answers

Answer: The angles are 100 degrees, and 80 degrees.

Here's an explanation:

It says that the ratio of the angles are 4:5. In a rhombus, the opposite angles are equal to each other. So, the it would be (4*2)+(5*2) = 360 degrees, since the ratio symbolizes the angle measurements. So, if you calculate that, then 18 units is 360 degrees. 4 units is 80 degrees, and 5 units is 100 degrees.

A rhombus is a quadrilateral. The angles of the rhombus are 80°, 100°, 80°, and 100°.

What is a rhombus?

A rhombus is a quadrilateral such that the pair of opposite sides of the quadrilateral are parallel, and all the sides of the quadrilateral are equal.

As we know that if the ratio of the angles formed by the diagonals and the sides is 4:5, then the ratio of the angles of the rhombus is also 4:5. Also, the pair of opposite angles of a rhombus are equal to each other. Therefore, the angles of the rhombus are 4x, 5x, 4x, and 5x.

Now, as the sum of adjacent angles of a rhombus is 180. Therefore, we can write the sum as,

[tex]4x+5x=180\\\\ 9x=180\\\\x=20[/tex]

Further, the measure of the angles can be written as,

[tex]4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\\\4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\[/tex]

Hence, the angles of the rhombus are 80°, 100°, 80°, and 100°.

Learn more about Rhombus:

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(05.05)Jacob and Kerrie are trying to figure out how long they can live off their $84,670 savings if they spend $370 each month. They have each created an equation. Jacob’s Equation Kerrie’s Equation y = 84,670 + (370x) y = 84,670 − (370x) Which person has the correct equation to model this linear relationship?

Answers

The second one (Kerrie’s) because they are not gaining money rather spending money each month.

Answer:

kerries because they are spending money not gaining and it will be B

Step-by-step explanation:

A model car has a windshield with dimensions 1/18 the size of a real car windshield. They rectangular windshield of the real car has an area of about 2318 square inches, with a width of 61 inches. What are the side lengths of the model car's windshield? Round to the nearest hundredth. Justify your answer

Answers

We know the model car is 1/18 the size of all values of the real car. This means that the model car has an area that is 1/18 the area of the real car, a length that is 1/18 the size of the real car, and a width that is 1/18 the size of the real car.  To get rid of the fraction, we can simply divide by 18.

The first step here is to figure out the missing length of the real car. We know the area is 2318 square inches, and the width is 61 inches. Since the area of a rectangle is length x width, we can find the length by doing the opposite of multiplication which is division. 

2318 ÷ 61 = 38 

So the dimensions of the real car windshield is 61 and 38. 

Now, we have to find what 1/18 of 61 is, and what 1/18 of 38 is. We can divide 61 and 38 by 18 to find these values. 

The attached image shows that division process, and how we can take it a step further to find the area of the model car windshield. 

Answer:

A. 2375 inches

Step-by-step explanation:

just did it lol

Please help me with this compound interest.

Answers

6,300 x (1+0.06) ^3=

6300 x 1.191016 =

7503.40

The figure shows triangle ABC and a rotation of the triangle about the origin
a. How would you describe the rotation?
b. What are the coordinates of the image?

Answers

That is an anticlockwise rotation of 90 degrees about the origin

A'  is (3,1), B' is (2,3) and C' is (-1, 4)

In the figure, lines a, b, and c are parallel and m∠4=156° . Drag and drop the correct angle measure for each angle.

Answers

those are the perfect answer
well done:)

but please Brainliest mark me as the answer and thank me
and all the best

Answer:

[tex]m<1=156\°[/tex]

[tex]m<2=24\°[/tex]

[tex]m<3=24\°[/tex]

[tex]m<5=156\°[/tex]

Step-by-step explanation:

Part 1) If line a is parallel to line b

then

[tex]m<1=m<4[/tex] -----> by alternate exterior angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<1=156\°[/tex]

Part 2) we know that

[tex]m<1+m<2=180\°[/tex] -----> by supplementary angles

we have

[tex]m<1=156\°[/tex]

substitute

[tex]156\°+m<2=180\°[/tex]

[tex]m<2=180\°-156\°=24\°[/tex]

Part 3) If line a is parallel to line b

then

[tex]m<3=m<2[/tex] -----> by alternate interior angles

so

we have

[tex]m<2=24\°[/tex]

therefore

[tex]m<3=24\°[/tex]

Part 4) If line b is parallel to line c

then

[tex]m<5=m<4[/tex] -----> by corresponding angles

so

we have

[tex]m<4=156\°[/tex]

therefore

[tex]m<5=156\°[/tex]


Evaluate m 0 - n 2 for m = 2 and n = -1.

-1
0
1

Answers

the answer is 1 because anything the zero power is 1

Answer:

the answer is -1

Step-by-step explanation:

Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles

Answers

Both sums of the exterior and interior have to add up to 180, and both are straight lines. That's what I remember

What fraction of students prefer Mt Rushmore over Grand Canyon ? Write in simplest form ?

Answers

For 14/28 is simplest form would be 1/2 and 8/28 in simplest form would be 2/7. I hope this helps. ^^

To find "What fraction of students prefer Mt Rushmore over Grand Canyon ?", we need to take away Grand Canyon [tex] (\frac{8}{28} ) [/tex] from Mt Rushmore [tex] (\frac{14}{28} ) [/tex]

[tex] \frac{14}{28} - \frac{8}{28}\\\\ When \; we \; have\; like\; fractions\; with\; same\; denominator,\; we \; should\; combine \; numerator \\ \\ \frac{14-8}{28} \\ \\ \frac{6}{28} [/tex]

[tex] Divide \; numerator\; and \; denominator\; by \; common\; factor\; 2\\ \\ \frac{6 \div2 }{28 \div 2} = \frac{3}{14} [/tex]

Conclusion:

6/28 fraction of students prefer Mt Rushmore over Grand Canyon.

3/14 is the simplest form of above fraction.

Sharon has a balance of $3,825 on her credit card. If the card has an annual rate of 20.99% how much is the finance charge for this month? $802.87 $219.96 $66.96 $20.99

Answers

20.99%/12 = 1.7492% which is the monthly rate (or at least the way my credit card does it)

1.7492/100 * 3825 = 66.91 
66.91 is just a rounding error. <<<=== answer.

A hollow ball is made up of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3.14 for pi.

a. 33.5cm^3

b. 267.9cm^3

c. 636.4cm^3

d. 994.3cm^3

Answers

The volume of rubber used to make the hollow ball is approximately 636.4 cm^3, which is calculated by subtracting the inner space volume from the total volume of the ball.

To find the volume of rubber used to make a hollow ball, we need to calculate the volume of the entire ball and then subtract the volume of the inner empty space. The ball's external radius is 6 centimeters, and the rubber thickness is 2 centimeters, which makes the inner radius 4 centimeters (6cm - 2cm).

The formula to calculate the volume of a sphere is V = (4/3)
y. Using
for pi and plugging in the numbers, we get:

Volume of the entire ball (outer radius of 6cm): V = (4/3)
(6)
= 904.32 cmVolume of the inner space (inner radius of 4cm): V = (4/3) 3.14 (4)
= 268.08 cm

To find the volume of the rubber used, we subtract the smaller volume from the larger volume:

904.32 cm - 268.08 cm = 636.24 cm

Therefore, option c. 636.4cm is the approximate volume of rubber used to make the ball.

Which are equivalent ratios to 4:9?
Check all that are true.

9:28

20:45

12:27

4:24

8:18

Answers

The second, third, and fifth are equal to 4:9.

Final answer:

The equivalent ratios to 4:9 are 20:45, 12:27, and 8:18 because they all simplify proportionally to 4:9.

Explanation:

To determine which of the given ratios are equivalent to 4:9, we need to have ratios that can be simplified to 4:9 or for which 4:9 can be scaled up proportionally. We check each given ratio by either simplifying it or finding a common multiplier that would lead us back to 4:9.

9:28 is not equivalent because it does not simplify to 4:9 or scale from 4:9.20:45 simplifies to 4:9 when both numbers are divided by 5.12:27 simplifies to 4:9 when both numbers are divided by 3.4:24 is not equivalent because it simplifies to 1:6, not 4:9.8:18 simplifies to 4:9 when both numbers are divided by 2.

Therefore, 20:45, 12:27, and 8:18 are equivalent ratios to 4:9.

How can you determine if a piece-wise relation is a function?

Answers

use the vertical line rule to test. 
Imagine you are drawing lines parallel to the y axis, if any of your lines touches the graph twice, the graph does not represent a function. otherwise, it does. 

Find the next three terms of the sequence.

–6, –24, –96, –384, . . .

Answers

-1,536, -6,144, -24,576

You multiply by 4 each time
-1536, -6144, -24576
HOPE THIS HELP!

Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts.

Answers

If you dealing with probability.


You got ten shirts 8 are blue 2 are white.

So you have an 80% chance of grabbing blue and 20% of white.

And 8:2 ratio

The probability of picking a blue shirt from the drawer is 4/5 or 0.8

The probability of picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts can be calculated as follows:

Probability of picking a blue shirt = Number of blue shirts / Total number of shirts

Probability of picking a blue shirt = 8 / (8 + 2)

Probability of picking a blue shirt = 8/10

Probability of picking a blue shirt = 4/5

Therefore, the probability of picking a blue shirt from the drawer is 4/5 or 0.8.

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