A classroom has 4 new boxes of chalk and 6 individual pieces of chalk in use. How many total pieces of chalk are in the classroom?

Answers

Answer 1
The total number of pieces of chalk in the classroom will be the number of pieces in the 4 boxes in addition to the six individual pieces.

The average box of chalk holds 12 pieces of chalk
This means that 4 boxes have 12*4 = 48 pieces

Total number of pieces = 48 + 6 = 54 pieces of chalk

Related Questions

He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the positive square root of the fifth term?

Answers

The first term is a₁ = 2.
Each subsequent term is the reciprocal of the square of the preceding term.

2nd term:
a₂ = 1/2² = 1/4

3rd term:
a₃ = 1/(1/4)² = 1/(1/16) = 16

4th term:
a₄ = 1/16² = 1/256

5th term:
a₅ = 1/(1/256)² = 1/(1/65536) = 65536
The positive square root of the fifth term is
√(65536) = 256

Answer: 256

Seven times a number minus the number is -48. Find the number.
A.)the number is -8
B.)the number is 8
C.)the number is 6

Answers

The answer is A. -8

(step by step)

Do multiplication first. 7 * -8 = -56

Now subtraction. -56 - (-8) = -48

Hope this helped! ☺♥
a.)the number is -8 thats right

Can you help me solve this proof please?

Answers

So.. Wouldn't the angles be 90 degrees since they are perpendicular to each other?ABD and CBD are probably connected to each other by line BD so AC must form a straight line. AC is now perpendicular to BD, but I'm not sure how to prove AD and DC are congruent lines, unless lines are drawn to connect those points..

Using the graph below, what are the common ratio and the general term equation, an, of the geometric sequence?

Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.

OPTIONS:
r = 1/2, a sub n = -16 (1/2) to the power of n-1
r = −2, an = −16(−2)n − 1
r = 2, an = −16(2)n − 1
r = -1/2, a sub n = -16 (-1/2) to the power of n-1

Answers

To find the common ratio and general term equation of the geometric sequence, we analyze the given graph and use the formula for the general term of a geometric sequence. By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).

Explanation:

To determine the common ratio and general term equation of the geometric sequence, we can examine the given graph.

From the graph, we can see that the first term is -16. Let's identify two points on the graph that correspond to consecutive terms. We can choose the points (-1, -8) and (-2, -16) as the graph passes through these points.

Using the formula for the general term of a geometric sequence, an = a1(r)^(n-1), we can substitute the given values (-16, r) and (-8, r^2) to find the common ratio and the general term equation.

By solving the equations (-16)(r)^(n-1) = -8 and (-8)(r)^(n-2) = -16, we find that the common ratio is 1/2 and the general term equation is an = -16(1/2)^(n-1).

Suppose a right cylinder was bent into a U-shape and was compared to another right cylinder. What can be said about their volumes?

Answers

Answer:

The volume of the U-shape will be half the volume of the original  right cylinder.

Step-by-step explanation:

If we are given a right cylinder and it was bent into a U shaped then this U-shaped figure could also be considered as a half cylinder.

We could see from the figure attached how this shape looks like.

and now the volume of this half cylinder will be half the volume of the actual right cylinder.

Answer:

B) There is not enough information to tell since they are not between parallel planes.

Step-by-step explanation:

In order for Cavalieri's principle to be true, both cylinders must have the same cross section. They may or may not. The requirement of being between parallel planes was broken. Therefore -- There is not enough information to tell since they are not between parallel planes

What is the rate of change for y=9x + 4?

Answers

slope is the rate of change. the slope is 9. so the rate of change is 9.

Final answer:

The rate of change for the equation y=9x+4 is 9, representing a constant slope where for every unit increase in x, y increases by 9 units.

Explanation:

The rate of change in the linear equation y=9x + 4 is the coefficient of the x term, which represents the slope of the line. In this case, the rate of change is 9. This means that for every one unit increase in x, the value of y increases by 9 units. Since this is a linear equation, the rate of change is constant, meaning it does not change regardless of the value of x.

If the expression below models the number of applicants for a credit card, what is the correct interpretation of the second factor?

There were 6.75 times as many people who applied in the 4th month as in the first month.
There were 1.2 times as many people who applied in the 4th month as in the first month.
There were 2.07 times as many people who applied in the 4th month as in the first month.
There were 4.8 times as many people who applied in the 4th month as in the first month.

Answers

I think the answer would be the second one.
I am sorry if it isn't right.
C There were 2.07 times as many people who applied in the 4th month as in the first month.

A car rental company at a major airport on an average rents 70 percent of its fleet of 200 cars per day. The cars are rented for an average of 4 days. What is the average number of rentals processed per day?

Answers

Final answer:

To find the average number of car rentals processed per day, we first calculate that 70% of the 200-car fleet equates to 140 cars. Each car is rented for 4 days, so, therefore, the total number of cars rented in four days is 560. Hence, the average daily rentals are 140 cars.

Explanation:

To calculate the average number of car rentals processed per day, we need to consider that the company rents 70% of their 200-car fleet daily. That is, 70/100 * 200 = 140 cars.

Since each car is rented for an average of 4 days, each day's rentals represent 1/4 of the number of cars that will be rented over the next four days. Therefore, the total number of cars rented in four days would be divided by 4 to get the daily average. In this case, it's 140 * 4 = 560, and 560 / 4 = 140 car rentals per day.

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Why is it that the limit as x approaches zero of sin3x all over x is 3?

Answers

The limit as x approaches zero of sin3x all over x is indeed 3.  

Below is a step by step display of how to derive this answer.

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−3).

A. 32
B. 16
C. 40
D. 26

Answers

(h•g) is equal to h(g(x))
[tex]h(g(x)) = {(2x)}^{2} + 4[/tex]
[tex]h(g( - 3)) = (2 \times - 3)^2 + 4 = 36 + 4 = 40[/tex]

Answer:

The answer is C, 40

A trust is one form of holding property

Answers

The answer is the reliability, truth, ability, or strength on someone or something
reliability, truth, ability, and or strength in someone so he is correct

What is the value of x?

Answers

Triangle QRT has a given 45-deg angle and a right angle.
The third angle is also 45 deg, so it is a 45-45-90 triangle and sides RT and RQ are congruent.

Triangle RST is a 30-60-90 triangle. Side RT is twice the length of side ST.
Side RS is sqrt(3) times the length of side ST.

ST = (2sqrt(3))/sqrt(3) = 2

RT = 2ST = 3 * 2 = 4

x = RQ = RT = 4

x = 4

Each afternoon she goes to the track and divides her time between running and jogging. she spends a total of 2 hours exercising and does a total of 10 miles. if she runs at 5 miles per hour and jogs at 2.5 miles per hour, how long did she spend on each type exercise?

Answers

i think the spent about an hour and 15 min on running and 45 min on jogging

2. The logo shown below was created by splitting a circle into 6 equal sections. Raphael is creating a stage-sized version of this logo where the shaded portions will be covered in fabric.



If the radius of the circle is 12 feet, how much fabric will he need in order to cover the shaded portions?

In the space that is given, tell what formulas you used and show how solved to get your answer.

Let π =3.14

Answers

From the shaded diagram, Raphael will need 3 of the 6 equal portions, or exactly 1/2 of the area of the circle. Given a radius of 12 ft, knowing that the area of any given circle is [tex]\pi r^2[/tex], and knowing that the area of the fabric needs to be half of the total area, we can set up the equation for the area of the fabric [tex]A[/tex]:

[tex]A= \frac{1}{2}\pi (12)^2 [/tex]

Simplifying, we find that the area of the fabric is exactly

[tex] \frac{1}{2} \pi (144)= \frac{144}{2} \pi=72\pi [/tex] ft.² Using the approximation of 3.14 for π, we get an area of approximately [tex]72(3.14)=226.08[/tex] ft² of fabric.

Answer:

226.08

Step-by-step explanation:

Find the value of y so that r⎹⎹ s A. 32 B. 56 C. 64 D. 124 please help

Answers

We need more detail I will help when i get a real question

4= square root of (-6-2x) plus square root of (31-3x)

Answers

Step  1  :Isolate a square root on the left hand side :

     Original equation 
     4 = √-6-2x+√31-3x

     Isolate
     -√-6-2x = -4+√31-3x

      Tidy up 
     √-6-2x = 4-√31-3x

Step  2  :Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√-6-2x)2 = (4-√31-3x)2

     After squaring 
     -6-2x = 31-3x+16-8√31-3x

Step  3  :Get remaining radical by itself :

     Current equation 
     -6-2x = 31-3x+16-8√31-3x

     Isolate radical on the left hand side
     8√31-3x = 6+2x+31-3x+16

      Tidy up 
     8√31-3x = 53-x

Step  4  :Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (8√31-3x)2 = (53-x)2

     After squaring 
     1984-192x = x2-106x+2809

Step  5  :Solve the quadratic equation :

     Rearranged equation
     x2  + 86x  + 825 = 0

     This equation has two rational roots:
       {x1, x2}={-11, -75}
 

Step  6  :Check that the first solution is correct :

     Original equation, root isolated, after tidy up
     √-6-2x = 4-√31-3x

     Plug in  -11 for  x 
      √-6-2•(-11) = 4-√31-3•(-11)

      Simplify
      √16 = -4
      Solution does not check 
      4 ≠ -4 

Step  7  :Check that the second solution is correct :

     Original equation, root isolated, after tidy up
     √-6-2x = 4-√31-3x

     Plug in  -75 for  x 
      √-6-2•(-75) = 4-√31-3•(-75)

      Simplify
      √144 = -12
      Solution does not check 
      12 ≠ -12 

Hopefully this helped You

The vertex of the graph is f(x) = |x-3|+6 is located at

Answers

There is a very great website called Desmos that can efficiently graph any equation. I think it will help a lot :)

Since this function is an absolute value, then it would look like a V shape on a graph. The vertex will always start at (0,0). Inside the absolute value x is subtracted by 3 which means the vertex will move to the right by 3 units. The entire function is added by 6 which means the vertex will move up by 6 units. I've attached a graph showing the final vertex of f(x)=-|x-3|+6 which is (3,6)

Hope This Helps :)
Hello there!

Ok, so what we need to do is to rewrite it in standard form and use the form to find the vertex.

So, the question is asking where the vertex of the graph is located.

I graphed it and it is located on (3.6)

Check the picture below....
Credit to my graphing calculator.

 

Is 5xy + y = 9 linear?

Answers

5xy + y =9 is not linear.
no, it is not linear. Linear equations are set up as y=ax+b

Two linear equations are shown in the graph.

#Brainliest award
What are the coordinates of the point where the two lines intersect?

A. (–2, 3)
B. (3, 3)
C. (3, 0)
D. (–3, 3)

Answers

So its rise over run.
So you would go over 3, and up 3. So now you have your plots.
The correct answer would be (3,3)
I hope this helps.

count the lines horizontally and vertically to see where the lines connect

 x = left to right

y = up and down.

 the black lines are the origins ( 0,0)

 so 3 to the right of a black line and 3 up from the black line equals (3,3)

 Answer is B

Please help me I'm having problems with this question and I don't know what it is if you do answer this question I really appreciate it thanks

Answers

I think it is A and B

Tim earned $16 babysitting and $17.50 mowing a lawn. He paid $8.50 for a movie and bought a small popcorn for $1.95. Write an expression to show how much money he has left.

Answers

Here's how I got the answer

The expression to show how much money he has left is  $(33.5 - 10.45).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given that, Tim earned $16 babysitting and $17.50 mowing a lawn.

What Tim has earned we'll add which is $(16 + 17.50) = $33.5.

He paid $8.50 for a movie and bought a small popcorn for $1.95.

His spendings we'll also add which is $(8.5 + 1.95) = $10.45.

Now, to write an expression for how much money he has left we'll subtract

his total spending from his total earnings which is,

= $(33.5 - 10.45).

= $23.05.

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Find the average value of f(x) = 1/x over the interval [e, 2e].

ln(2)/e
-1/2e^
Ln2
Ln3

Answers

[tex]\bf \displaystyle \cfrac{1}{2e-e}\int_{e}^{2e}~\cfrac{1}{x}\cdot dx\implies \left. \cfrac{1}{e}\cdot ln(x) \right]_{e}^{2e}\implies \left[ \cfrac{ln(2e)}{e} \right]-\left[ \cfrac{ln(e)}{e}\right] \\\\\\ \left[ \cfrac{ln(2)+ln(e)}{2e} \right]-\left[ \cfrac{1}{e} \right]\implies \cfrac{ln(2)}{e}+\cfrac{ln(e)}{e}-\cfrac{1}{e}\implies \cfrac{ln(2)}{e}+\cfrac{1}{e}-\cfrac{1}{e} \\\\\\ \cfrac{ln(2)}{e}[/tex]

the average value of f(x) = 1/x over the interval [e, 2e] is, ln(2)/e.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

f(x) = 1/x over the interval [e, 2e].

i.e. we get,

[tex]\frac{1}{2e-e}[/tex] × [tex]\int\limits^{2e}_e {1/x} \, dx[/tex] =1/e. ln (x)[2e, e]

                        =ln(2e)/e - ln(e)/e

                        =[ln2+lne/e] - 1/e

                        =ln2/e +1/e -1/e

                        =ln(2)/e

hence,  the average value of f(x) = 1/x over the interval [e, 2e] is, ln(2)/e.

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The steepness or grade of a road is expressed as a percent. if a road rises 3 feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

So slope is equal to rise over run so in this case 3/24 which is 1/8(The slope). I assume percent grade is percent of incline so 1/8=12.5%

Hope this helps!

the total cost to rent a row boat is $16 times the number of hours the boat is used. how long can you rent the boat for $224

Answers

You can rent it for 14 hours
you can rent it for 14 days because 224÷16 is equal to 14

Mrs. Gerhard wants to plant grass in her backyard. She wants the grass to cover all of her backyard except the play area.



How many square feet of grass will Mrs. Gerhard need to plant?
A.


12 ft2


B.


34 ft2


C.


60 ft2


D.


84 ft2

A.


12 ft2


B.


34 ft2


C.


60 ft2


D.


84 ft2

Answers

First, you find the area of her entire backyard
8 * 9 = 72
Then you find the area of the play area
3 * 4 = 12
Then you subtract the play area from the entire backyard
72 - 12 = 60

Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the measure of ∠WYX?
PLEASE EXPLAIN THE STEPS

A. 5°B.15°C.75°D. 150°

Answers

Answer:

Option D is correct.

The measure of [tex]\angleWYX = 150^{\circ}[/tex]

Step-by-step explanation:

[tex]\triangle WXY[/tex] is isosceles  and [tex]\angle YWX[/tex] and [tex]\angle YXW[/tex] are base angles.

Isosceles Triangle:

A triangle with two equal sides, and two congruent base angles that means the angles are equal

By the definition, the base angles are equal i.e, [tex]m\angle YWX=m\angle YXW[/tex]

Since, YZ bisects [tex]m\angle WYX[/tex]

Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles

then, [tex]\angle WYX =2\angle XYZ[/tex] or

Substitute the value of [tex]\angle XYZ=(15x)^{\circ}[/tex] ;

[tex]\angle WYX =2(15x)^{\circ} = (30x)^{\circ}[/tex]

The sum of measures of these three angles of  triangle WXY is equal to the 180 degree.

In triangle WXY we have;

[tex]\angle YXW+\angle WYX+\angle YWX=180^{\circ}[/tex]

Substitute the value of [tex]m\angle YWX=m\angle YXW=(2x+5)^{\circ}[/tex] and [tex]\angle WYX=(30x)^{\circ}[/tex] in above formula:

[tex]2\angle YXW+30x=180^{\circ}[/tex] or

[tex]2\cdot(2x+5)+30x=180^{\circ}[/tex]

Simplify:

[tex]4x+10+30x=180^{\circ}[/tex]

Combine like terms ;

[tex]34x+10^{\circ}=180^{\circ}[/tex] or

[tex]34x=170^{\circ}[/tex]

Simplify;

[tex]x= \frac{170}{34} =5^{\circ}[/tex]

Substitute the value of x in  [tex]\angle WYX [/tex];

[tex]\angleWYX = (30x)^{\circ} = 30 \cdot 5 = 150^{\circ}[/tex]

Therefore, the measure of [tex]\angleWYX = 150^{\circ}[/tex]






Answer:

150 D

Step-by-step explanation:

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
A) 1
B) –1
C) i
D) –i

Answers

the answer would be B :) hope this helps

Find the Least Common Multiple of these two monomials:
14x^4y^6z^3 and 24x^6y^2z^8

64x^6y^6z^8
2x^4y^2z^3
168x^6y^6z^8
168x^10y^8z^11

Answers

LCM 14 & 24 = 168

then use the highest exponents for the variables

 answer = 168x^6y^6z^8

A bug is traveling at a rate of 18 inches per minute. Write the rate in feet per minute. (12 in. = 1 ft.)

Answers

1.5 feet per minute
Hope this helps :)

The latest online craze is a new game, Khan on Seven. You get 100100100 points for playing the game. In addition, you get 505050 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17{,}95017,95017, comma, 950 points. Sal wants to break the record, and needs 18{,}00018,00018, comma, 000 points or more to do so.

Answers

17,95017,95017,950
-
18,0018,00018,000
__________________
1,9501,9501,950

Other Questions
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