Which pair of numbers are relatively prime?

22 and 35
32 and 16
21 and 56
30 and 85

Given:

A right rectangular prism is packed with cubes of side length [tex]\dfrac{1}{5}[/tex] inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube [tex]=\dfrac{1}{5}[/tex] inch.

15 cubes along the length, so length of prism is

[tex]l=15\times \dfrac{1}{5}=3\text{ inches}[/tex]

6 cubes along the width, so width of prism is

[tex]b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}[/tex]

5 cubes along the height, so height of prism is

[tex]h=5\times \dfrac{1}{5}=1\text{ inch}[/tex]

Now,

Volume of rectangular prism is

[tex]V=l\times b\times h[/tex]

[tex]V=3\times \dfrac{6}{5}\times 1[/tex]

[tex]V=\dfrac{18}{5}[/tex]

[tex]V=\dfrac{3\times 5+3}{5}[/tex]

[tex]V=3\dfrac{3}{5}\text{ cubic inches}[/tex]

Therefore, the correct option is B.

Answer:

2x - 5 > 10x

Step-by-step explanation:

Hope This Helps!

Plz mark Brainliest!

Answer:

good for mary

Step-by-step explanation:

Answer:

y = 3x - 2

Step-by-step explanation:

y=mx+b is the formula for slope intercept.  where m is the slope and b is the y-intercept.

Answer:

Step-by-step explanation:

Given

It is demonstrating the distributive property of multiplication

Answer:

4

Step-by-step explanation:

the number before x is the slope

^^^^^^^^^^^^^^^^^^^^^^^^

Answer:

Step-by-step explanation:

If any pair of

(i) alternate interior angles  are congruent   or

(ii) corresponding angles are congruent   OR

(iii) Co-interior angles are supplementary    OR

(iv) alternate exterior angles are congruent  

then the lines are parallel.

∠8 = ∠2    ;  ∠2 and ∠8 are alternate exterior angles.

As they are equal  l // m

Answer:

2^(7/2)

Step-by-step explanation:

Here, we want to write 2√32 as a power with a rational exponent.

That would be 2 * √32

= 2 * 32^1/2

= 2 * 2^5(1/2)

= 2 * 2^5/2

According to law of indices, this becomes the following;

2^(1 + 5/2)

= 2^(7/2)

It's 20, the answer is 20.

answer

a,c,e

i got 100% on this quiz

The solutions to the equation x³ = 36, x² = 42, x³ = 55 are:

x = ∛36

x = √42

x = ∛55

Option B, D, and F are the correct answers

Given,

Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55

Select three that apply.

A. x = √36

B. x = √42

C. = √55

D. = ∛36

E. = ∛42

F. = ∛55

- Square root of a is written as √a.

- Cube root of a is written as ∛a.

We have,

- x³ = 36

Cube root on both sides

∛x³ = ∛36

x = ∛36

- x² = 42

Squaring on both sides

√x² = √42

x = √42

- x³ = 55

Cube root on both sides

∛x³ = ∛55

x = ∛55

We see that,

x = ∛36

x = √42

x = ∛55

Thus the solutions to the equation x³ = 36, x² = 42, x³ = 55 are:

x = ∛36

x = √42

x = ∛55

Learn more about square and cube root here:

https://brainly.com/question/27863878

#SPJ6

The complete question is:

Which of these is a solution to the equation x³ = 36, x² = 42, x³ = 55

Select three that apply.

A. x = √36

B. x = √42

C. = √55

D. = ∛36

E. = ∛42

F. = ∛55

Answer:

<ABC= 86 degrees

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

3.5 × 0.2 = 0.7

It is is hard to show work for this through text

Answer:

.7

Step-by-step explanation:

1' 3.5

* .2

_____

. 7 0

Hope this helped :P

The equation is y = mx + b. b is the y intercept, which means the line intersects the y axis at 50, not the x axis. Also, the equation is an inequality and you wrote an equation. The inequality should be 100 ≥ 4x + 50, or 50 ≥ 4x. If y = 4x + 50, then 100 ≥ y.

Also, in the end you got 12.5. 12.5 is not a number of people that can attend her party. The number has to be a positive integer.

Usually, inequalities are graphed with shading up or down. In this case it is down because you have a limit on how much Gamora can spend.

The actual answer is 12 people.

Your answer was almost right if only you had converted it to the greatest positive integer less than 12.

Your graphing was wrong because you put 50 as the x intercept instead of the y intercept, and you forgot to shade. The question tells you to graph an inequality.

I hope this helps because I spent a long time typing this :)!

Answer:

IIII don't get ittt either

Step-by-step explanation:

Answer:

Isabella bought 70.19 ounces of dark chocolate.

Step-by-step explanation:

You want to subtract the total which is 71.4 minus the 1.21 ounces of the white chocolate, you then will get 70.19 ounces of dark chocolate. To be sure, you can add 70.19+1.21 and will get you the total amount of ounces of chocolate. Hope this helps :D

here is a link to the aneser hope it helps

The coordinates of the image of the point (4,5) after reflecting over the

the y-axis is (- 4, 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A point (4, 5) is reflected over the y-axis.

We know points of coordinated (x, y) reflected over the x-axis becomes

(- x, y).

Therefore, The coordinate points (4, 5) after reflecting over the y-axis would be ( - 4, 5).

learn more about the transformation of figures here :

https://brainly.com/question/11709244

#SPJ2

Step-by-step explanation:

-Apply pesticides in the evening. Many pesticides are extremely toxic to honey Bees and other beneficial insects.

-Choose the appropriate formulation.

-Use less toxic, rapidly degradable pesticides.

-Alter application method.

-Establish apiaries in safe locations.

I hope I helped.

Answer:

-12

Step-by-step explanation:

slope=y2-y1/x2-x1

Answer:

is the relation a function

No

Answer:

It's counting by 2's so count by 2's 88 more times. Not sure if that is completely right. Also there is probably an equation that you can use to find the answer, but i don't remember it.

Step-by-step explanation:

Answer:

200

add by 2's 88 times

Answer:

domain: {-6, -1, 9, -3}

range: {0, 5, -3, 9}

Step-by-step explanation:

domain is the x-values and range is the y-values

Answer:

4.5 pounds

Step-by-step explanation:

2.2X2.03=4.466(I rounded to the nearest tenth if that helps)

Answer:

$1.10

Step-by-step explanation:

4.95-2.75=2.20

2.20/2=1.10

Answer:

$1.10

Step-by-step explanation:

4.95-2.75=2.20

2.20÷2=1.10

Answer:

33.3%

Step-by-step explanation:

add all and divide by eight, convert to percentage

hope that helps :)

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every [tex]\dfrac12[/tex] cup of mustard.

That means , for [tex]\dfrac12[/tex] cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  [tex]\dfrac12\times 2[/tex] cup of mustard. we need [tex]3\times 2[/tex] cups of ketchup.

⇒ for  [tex]1[/tex] cup of mustard. we need [tex]6[/tex] cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

The  rate in cups of ketchup per cup of mustard is 6.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3 \times 2[/tex]

= 6

learn more: https://brainly.com/question/994316?referrer=searchResults

Answer: 81 to 19

Step-by-step explanation:

Answer:

-5 × 2 = -10

n ÷ -5 = 2

-10 ÷ -5 = 2

n = -10