A box measuring 11 inches by 10 inches by 7 inches is filled with solid wooden cubical blocks, each measuring 3 inches per side. How many wooden blocks can fit into the box

Answers

Answer 1

Answer:

28

Step-by-step explanation:

[tex]number \: of \: wooden \: blocks \\ = \frac{volume \: of \: box}{volume \: of \: one \: wooden \: block} \\ = \frac{11 \times 10 \times 7}{3 \times 3 \times 3} \\ = \frac{770}{27} \\ = 28.51 \\ [/tex]

Thus, there would be 28 full wooden blocks in the box.

Answer 2

Answer: 28 wooden blocks

Step-by-step explanation: First you must find the volume of the box with the formula: L × W × H so, 10 × 11 × 7 = 770 inches³. Second you must find the volume of the wooden blocks with the formula: x³ ( 'x' is the value of the side of the cube ) so, 3 × 3 × 3 = 27 inches³. Now you can divide the volume of the box by the volume of the wooden block = 770 ÷ 27 = 28.518...*

* Always only count the whole numbers.


Related Questions

Add. Write your answers in simplest form.

10 1/6+12 1/10

Answers

334/15 also known as 22.26

9. The regular price of an item at a store is p
dollars. The item is on sale for 20% off the regular
price. Some of the expressions shown below
represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 -0.2p
Expression D:p -0.2p
Which two expressions each represent the sal
price of the item?
A Expression A and Expression E
B Expression B and Expression C
C Expression B and Expression D
D Expression C and Expression D

Answers

Answer: C: Expression B and D

Step-by-step explanation:

Say the item is $100. 20% of 100 is equal to 100 (20/100)

When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.

So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.

Now plug in 100 for p in each equation. The equation that equals 80 is the answer.

Only equation B and D equals 80 when 100 is plugged in.


5x+1≤−14 or −4x+6<10
help

Answers

Answer:

x≤−3 or x>−1

Step-by-step explanation:

Combine like terms

Isolate your variable x

Answer:

x<-3 or x>1

Step-by-step explanation:

you would just subtract 1 from both sides on the first one so you get 5x<-15 which can be x<-3 and for the second one -4x+6<10 subtract 6 so you get -4x<4 and divide by -4 which is x>1

Lily bought 4 pairs of jeans at a cost of $39 each. How much money did she give the clerk

Answers

she gave the clerk $159

A store charges $120 for a bicycle. The store is now going out of business and is
selling all of the bicycles at a 30% discount. What is the sale price of the bicycle?

Answers

Answer:

$84

Step-by-step explanation:

So, if the store is selling the bicycles at a 30% discount, that means that the bike is at 70% of it's original value. SO we can do 120*.7=84.

Please help 20 points to brainliest!!

Answers

Answer:

41

Step-by-step explanation:

You are going up by 4 for every term. So, for the 13th term, you're going up by 4*13= 52.

However, -7 is a term itself. -7 is the 1st term. If you added 52 to -7, that would be the 14th term! So, we will subtract 4 when we add 52 to -7.

-7+52=45

45-4=41

The answer is 41!

Hope this helps!

Answer:

D

Step-by-step explanation:

So first, we can see that this is an arithmetic sequence since each subsequent value is 4 greater than the previous one.

To find the value of the 13th term, we can construct an explicit formula for the sequence. Recall that an explicit formula of an arithmetic sequence has the following format:

[tex]x_n=a+d(n-1)[/tex]

Where n is the nth term, a is the initial term, and d is the common difference.

So, we already know that a is -7 the initial term. And also, every term is +4 than the previous one. Thus, the common difference is 4.

Plugging in all into the equation, we have:

[tex]x_n=-7+4(d-1)[/tex]

So, to find the 13th term, use 13 for n:

[tex]x_{13}=-7+4(13-1)\\x_{13}=-7+4(12)[/tex]

Simplify:

[tex]x_{13}=-7+48\\x_{13}=41[/tex]

So, the 13th term is 41.

The answer is D.


HELP PLEASEEEE!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

We can easily rule out B and D because they have dotted lines and both equations are greater than or equal to and less than or equal to.

Answer:

C - with explanation

Step-by-step explanation:

First, when you graph an inequality that uses a < or > it's plotted with a dashed line to show the line isn't included in the region.

Inequalities with a [tex]\leq or \geq[/tex] are plotted with a solid line to show the line is included in the region.

You can eliminate B and D because they are showing a graph using < or >

Now we know it's either A or C.

To figure out each, let's pick 4 random points, one in each quadrant and color.

Let's pick (3,3) (3, -3) (-3,3) (-3,-3) For an easier visual they would be

                              |                              

            (-3,3)          |    (3,3)                              

      ___________|____________                                                                                                                                

                              |                                  

           (-3,-3)          |     (3,-3)                          

                              |                            

Plus in the values for each inequality:

(3,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 3 +[tex]\geq[/tex] 2(3)                              3(3) - 3

                 3 + 6 = 9                            9 - 3 = 6

                 9 is not [tex]\leq[/tex] to 4                    6 is [tex]\geq[/tex] 2

So this is a valid point because it works in the 2nd equation.

We got lucky and the first point we chose eliminates option A because (3,3) is a point that works and option A shows that area as being "out of bounds."

To test option C let's pick a point in the undefined area. Let's choose (-1,3)

(-1,3)          x + 2y [tex]\leq[/tex] 4                          3x - y [tex]\geq[/tex] 2

                 -1 +[tex]\geq[/tex] 2(3)                           3(-1) - 3

                 -1 + 6 = 5                            -3 - 3 = - 6

                 5 is not [tex]\leq[/tex] to 4                    -6 is not  [tex]\geq[/tex] 2

So this point in the white area is not valid for either inequality.

Now we know for sure the correct option is C.

                                                                                                                                                                                                       

good morning :) Which expression is equal to 20 minus 9 divided by 3? A.) 20 minus 3 B.) 11 divided by 3 C.) 23 minus 9 D.) 20 minus 9

Answers

Answer:

A.20_ 3=17..

option A is the answer

Answer:

A) 20 - 3

Step-by-step explanation:

20 - 9÷3

Use PEMDAS.

First Division should be done

So, 20 - 9÷3 = 20 - 3

1. 8x-x
solve
I NEED HELPPP ASAP

Answers

Answer:

7x

Step-by-step explanation:

[tex]8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x[/tex]

Answer:

7x

Step-by-step explanation:

it is quite clear and also very easy look...

8x -1x = 7x

                 whenever it's only x, p y etc. remember it is always 1x, 1p, 1y etc. and then just do the operations

so easy hope you found it helpful

plz rate and mark the brainliest if you found it helpful....

what is the slope? m=?? urgent due friday 8/28

Answers

Answer: y=-2/3x+3

hope this helped

y=-2/3x+3 lemme know if it’s wrong lol

My cousin needs help on all the questions. Please help him he is failing math

Answers

Answer:

  (a) more

  (b) less

  (c) more

  (d) greater

  (e) Left to right: Susan, George, Antonio, Maria

Step-by-step explanation:

When a point total is lower, more points are needed to stay in the game.

__

(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.

__

(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.

__

(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.

__

(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.

__

(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.

_____

* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.

The problem is poorly worded. The answer choices above are consistent with the problem statement overall.

At a butcher​ shop, bought lb of beef and some pork. Left with lb of meat. Express the number of pounds of pork bought using a decimal. bought nothing lb of pork.

Answers

Answer:

15.11 lb

Step-by-step explanation:

At a butcher​ shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal

so Hilda bought ? lb of pork

Beef = 4 17/20 lb

Pork = x lb

Total Meat = 19 24/25 lb

Using decimal to express the pound of pork she bought, convert the pounds of beef and total meat she bought into decimal

Beef = 4 17/20 lb = 4.85 lb

Total Meat = 19 24/25 lb = 19.96 lb

Total meat = Beef + pork

19.96 lb = 4.85 lb + x lb

Subtract 4.85 from both sides

19.96 - 4.85 = 4.85 + x - 4.85

15.11 = x

x= 15.11 lb

Therefore, pounds of pork she bought = 15.11 lb

Consider the functions f(x) = 3x - 5.
Evaluate f(-4).

Answers

The answer would be 3(-4) -5 so x would be -12 -5 which would be x = -17

X= -4, so when you plug it in and solve the problem you'll get x= -17 Reason: 3(-4)= -12+ -5 Which equals -17.

A passenger car weighs 4.5 times 10 Superscript 3 units. Which unit of measure was used?




Answers

20? I’m not for sure maybe look in the book? That’s the answer I got and it was right

Answer:

pounds

Source:

Trust me bro

Identify the factors of the terms of the expression.
3). 5+6a+11b
4). 13m-2n​

Answers

Answer:

factors are 5, 6, a, 11, b

Step-by-step explanation:

3)   5 + 6a + 11b

Algebraic expressions: 5 + 6a + 11b

Are combinations of numbers, variables, and at least one arithmetic.

Term are: 5, 6a, 11b

Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable(s).

Factors are: 5, 6, a, 11, b

Something which is multiplied by something else. A factor can be a variable, number,  a term, or a longer expression.

Coefficient: 6, 11

The numerical factor of a multiplication expression that contains a variable.

 

Constant: 5

A number that cannot change its value.

4).  13m-2n​ (note: it applies as above)

Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Sory jogging from the sa me place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour. How far apart are they after Sory jogs for 12 minutes?​

Answers

Answer:

0.2 miles

Step-by-step explanation:

Given that Jonah starts jogging at a constant speed of 6 miles per hour, Five minutes later, Jonah must have covered a distance of;

Distance = speed × time

Distance = 6 × 5/60

Distance = 0.5 miles

Distance covered in 12 minute will be

Distance = 6 × 12/60

Distance = 1.2 miles

Total distance covered by Jonah will be 0.5 + 1.2 = 1.7 miles

Sory jogging from the same place along the same trail. Sory jogs at a constant speed of 7.5 miles per hour.

If Sory jogs for 12 minute, then sory distance covered will be

Distance = speed × time

Distance = 7.5 × 12/60

Distance = 1.5

The distance between Jonah and Sory will be:

1.7 - 1.5 = 0.2 miles

Therefore, they are 0.2 miles apart after 12 minutes

HELP PLEASEEE AND ANSWER FAST!:))

Answers

I don't get it, what are you suppose to do?

what’s the question?

Eric and his two sisters shared an amount of money in the ratio 2:7 respectively. If Eric had $ 300 and the remaining amount shared equally among the sisters, how much did each sister get?

Answers

Answer:each sister get will get $525

Step-by-step explanation:

1st step

Eric and his sisters shared amount x in the ratio 2:7

total ratio = 2+7 = 9

2nd step ;

Total amount of money shared since Eric received $300

(ratio of Eric/ Total ratio ) x Shared amount X = share of Eric

2/9 x X= 300

X=(300 x 9) / 2 = $1,350

Total money = $1,350

3rd step:

two sisters will receive

(ratio of two sisters/ Total ratio ) x Shared amount x = share of two sisters

7/9 x $1,350 =  9,450/9 = 1,050

share of two sisters= $1050

if they share equally , each will receive  $1050/2 = $525

Solve the equation 4+6x+5=7x

Answers

The answer to your question is x=9

-0.07p-0.6=5 please help!!!!

Answers

Answer:

p= -80

Step-by-step explanation:

DON'T FORGET TO INCLUDE THE NEGATIVE

1. Isolate the p

2. Bring the .6 to the other side by doing the opposite. In this case adding.

3. You now should have -0.07=5.6

4. You are going to continue to isolate the variable.

5. You are going to do the opposite of multiplication to the -0.07. (Didn't know how to word this part)

6. You are going to divide both sides by -0.07. Which would give you -80.    

DON'T FORGET TO INCLUDE THE NEGATIVE

If = 7, then x must be _____. 7 14 49 Irrational

Answers

Answer:

x is 49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

i just took the test

Windows are cleaned at a house every 7 days.
Milk is delivered to the same house every 3 days.
On the 3rd June, the windows are cleaned and milk is delivered.
What is the next date when both happen on the same day?

Answers

Answer: 24th

7-14-21

3-6-9-12-15-18-21

plus the three extra days gets you the 24th

what is y=4/5x-7 in graph form?

Answers

Answer:

Use a graphing calculator.

Step-by-step explanation:

At a butcher shop Karl bought 8 17/25lb of beef and some pork. He left with 17 1/4lb of meat. Express the number of pounds of pork he bought using a decimal.

Answers

Answer:

17 1/4 lb = 17.25 pounds

Step-by-step explanation:

Karl bought

Beef=8 17/25 lb

Pork= 17 1/4 lb

Express the number of pounds of pork he bought using a decimal

Pork= 17 1/4 lb

1 lbs to pound = 1 pound

17 1/4

= 69/4

=17.25 pounds

Alternatively

17 whole number

1/4=one quarter=0.25

Now 17 + 0.25

=17.25 pounds

Beef=8 17/25 lb

Beef to pound in decimal

8 whole number

17/25=0.68

8+0.68 = 8.68 pounds

Beef= 8.68 pounds

Pork=17.25 pounds

The total cost for buying new sneakers for the basketball team an be found by using the function y=25x + 65, is where x is the number of players. If between 9 and 16 players need new sneakers. Find the domain and range of this situation

Answers

Answer:

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

Step-by-step explanation:

Given

[tex]y = 25x + 65[/tex]

Required

Determine the range and domain when x = 9 to 16

The domain is the set of

[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]

Solving for the range;

When x = 9

[tex]y = 25 * 9 + 65[/tex]

[tex]y = 225 + 65[/tex]

[tex]y = 290[/tex]

When x = 10

[tex]y = 25 * 10 + 65[/tex]

[tex]y = 250 + 65[/tex]

[tex]y = 315[/tex]

When x = 11

[tex]y = 25 * 11 + 65[/tex]

[tex]y = 275 + 65[/tex]

[tex]y = 340[/tex]

You continue till you get to x = 16

---

--

-

When x = 16

[tex]y = 25 * 16 + 65[/tex]

[tex]y = 400 + 65[/tex]

[tex]y = 465[/tex]

Hence; the range is

[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]

Evaluate 2 4ac if b = 5, a = -2, and c = 0​

Answers

Answer:0

Step-by-step explanation:2 4ac

2×4×-2×0=0

2) (G3-4 pts) Find the area of the shaded figure in square feet. Round to the nearest tenth if
necessary. Circle the correct answer.
|--5---
18 ft
---5ft
A. 478.5 ft?
B. 311.2 ft
8 ft
C. 351.2 ft?
D. 438.5 ft?

Answers

Answer:

Area of both triangles = 8*5 = 40

Rectangle Area = 8*18 = 144

Semi Circle Area = Pi*r^2 / 2 = (3.14159*81)/2 = 127.34

40 + 144 + 127.34 = 311.34 square feet

answer is B

Step-by-step explanation:

-x +2xy - 3y for x = -4 and y = 5

Answers

Answer:

4-40-15=-21

Step-by-step explanation:

you just replace x and y for the given numbers in this problem

Consider the geometric sequence: 8, 4, 2, 1, \dots8,4,2,1,…8, comma, 4, comma, 2, comma, 1, comma, dots If nnn is an integer, which of these functions generate the sequence? Choose all answers that apply: Choose all answers that apply: (Choice A, Checked) A a(n)=8\left(\dfrac12\right)^na(n)=8( 2 1 ​ ) n a, left parenthesis, n, right parenthesis, equals, 8, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq1n≥1n, is greater than or equal to, 1 (Choice B) B b(n)=32\left(\dfrac12\right)^nb(n)=32( 2 1 ​ ) n b, left parenthesis, n, right parenthesis, equals, 32, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq2n≥2n, is greater than or equal to, 2 (Choice C) C c(n)=64\left(\dfrac12\right)^nc(n)=64( 2 1 ​ ) n c, left parenthesis, n, right parenthesis, equals, 64, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq3n≥3n, is greater than or equal to, 3 (Choice D, Checked) D d(n)=128\left(\dfrac12\right)^nd(n)=128( 2 1 ​ ) n d, left parenthesis, n, right parenthesis, equals, 128, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript for n\geq4n≥4

Answers

Answer:

C AND D

Step-by-step explanation:

KHAN ACADEMY.

C: c(n)= 64(1/2)^n for n greater than or equal to 3

D: d(n)= 128(1/2)^n for n greater than or equal to 4

The correct series is being generated by options B and D

What is geometric series?

A geometric series is a series for which the ratio of each two consecutive terms is a constant term called the common ratio.

How to find which of the given functions generate the given sequence?We know that nth term of a Geometric series can be written as  [tex]ar^{n-1}[/tex] where a is the first term and r is the common ratio.

The given series is 8 , 4 , 2 , 1......

Here the first term is 8 and the common ratio is 1/2

Here, we should check the options one by one

The first option does not generate the series after putting values which are greater than or equal to 1

So, option A is wrong.

Now, if we put n = 2, 3 ... values in second function, we can see the series being generated.

So, option B is correct.

In option 3 if we put n = 3 then c(n) is coming as 8 but again on putting n = 4 , c(n) is coming 2.So the series in not getting generated here.

Hence option C is wrong.

In option 4, we can see that the series is getting generated after putting the values n = 4,5.....

So, option D is correct.

Find more about "Geometric Series" here: https://brainly.com/question/24643676

#SPJ2

An object dropped from the top of a tall building falls y = 4.9t^2 meters in the first t seconds. What is the object’s average speed during the first 4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s

What is the objects instantaneous speed at t=4 seconds?
A.) 4.9 m/s
B.) 9.8 m/s
C.) 19.6 m/s
D.) 39.2 m/s
E.) 78.4 m/s

Answers

Answer:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

Step-by-step explanation:

Given the function to represent the distance traveled by the object in [tex]t[/tex] seconds:

[tex]y = 4.9t^2[/tex]

To find:

Object's average speed during the first 4 seconds ?

Instantaneous speed at t = 4 seconds

Solution:

Average speed of a moving object is given by, Total Distance covered divided by Total time taken.

[tex]\text{Average Speed = }\dfrac{\text{Total Distance traveled}}{\text{Total Time Taken}}[/tex]

Let us find the distance traveled in 4 seconds by putting t = 4 in the equation [tex]y = 4.9t^2[/tex]

[tex]y = 4.9\times 4^2 = 78.4\ m[/tex]

Now, let us put the values in the formula:

[tex]\text{Average Speed = }\dfrac{78.4}{4} = \bold{19.6\ m/s}[/tex]

For instantaneous speed, we need to differentiate y w.r.to t:

[tex]Speed = \dfrac{d}{dt}y = 4 \times 4.9 t^{2-1}\\\Rightarrow Speed = \dfrac{d}{dt}y = 4 \times 4.9 t[/tex]

Now, let us put t = 4 seconds

Speed = [tex]4\times 4.9\times 4[/tex] = 39.2 m/s

The answers are:

Average Speed

C.) 19.6 m/s

Instantaneous Speed

D.) 39.2 m/s

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