Write a variable expression for each of following situations. Use b to represent "a full box of pencils.
a. A full box of pencils with 3 extra pencils.
b. Three full boxs of pencils.​

Answers

Answer 1

Answer:

a. b + 3 extra pencils

b. 3b

Hope that's correct


Related Questions

سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?

Answers

Answer:

3cm

Step-by-step explanation:

A particular satellite is 15 m wide

Model of it was built with a scale of 1 cm: 5 m

=> scale of the model will be: 1/500cm and  A particular satellite is 1500 cm wide

=>1500*1/500=3(cm)

8.
If TU = 23 and TV = 5x + 6, then x = ?
23
+
+
U
sxto
10
If PQ = 6x - 1 and PR = 15x - 29,

Answers

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

The value of x in the line segment TV is 8 units.

What is a line segment ?

A line segment is a subset of a line which has two endpoints.

According to the question a line  segment TV is given which is of 5x + 6 units.

TU is also given which is 23 units.

U is the midpoint of TV this implies that UV is also 23 units.

Now, we know that TV = TU + UV.

5x + 6 = 23 + 23.

5x + 6 = 46.

5x = 46 - 6.

5x = 40.

x = 40/5.

x = 8 units.

learn more about line segments here :

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Simplify square root of -200

Answers

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games

Answers

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

https://brainly.com/question/1539712

According to the table. what is the ratio of pattern 2 to pattern 1?
A) 1/4
B) 1/2
C) 2/1
D) 1
Please answer QUICK​

Answers

Answer:

1/2.

Step-by-step explanation:

When pattern 2 is 2,  pattern 1 is 4 so its 2/4 = 1/2.

What is the base length of a rectangle with a height of 23 ft and an area of 437 ft??
Enter your answer in the box.

Answers

Answer:

Answer is 19

Step-by-step explanation:

firstly,the area of a rectangle is =LxW

secondly since there is no number for length,we use X for representing the number ,then height is used for representing breath and the number is 23ft and area is 437ft

so we solve,

LxW=AREA

Xx23=437

23X/23=437/23

X=19

therefore the length is =19

HELP PLZ
The running back for the Southern High School wears his lucky number
48
on his jersey. During his last three games, he carried the ball 58 yards, 49
yards, and
53 yards. What was his total yardage for those last three games. *I have to use the CUBES method so plz show you using that method*

Answers

Answer:

160 yards total

Step-by-step explanation:

https://i1.wp.com/caffeinequeenteacher.com/wp-content/uploads/2014/12/cubes-math-strategy-for-word-problems-blog-image.jpeg?resize=1032%2C1536&ssl=1      that link show you what cubes method is. You can take my answer and put it into cubes method form.

f(x) = -3x2 + 3x + 7
Find f(8)

Answers

Hope it helps! If it is, Brainliest please!

Answer:

f(8) = -161

Step-by-step explanation:

f(x) = -3x^2 + 3x + 7

f(8) = -3(8)^2 + 3(8) + 7

f(8) = -192 + 24 + 7

f(8) = -161

The perimeter of a rectangle is 74 inches. If the length is five more than the width, what are the rectangle's measurements?
O length = 19; width = 18
O length = 22; width = 15
O length = 20; width = 17
O length = 21; width = 16
O None of these choices are correct.

Answers

Answer:

None of these choices are correct.

Step-by-step explanation:

75 = perimeter

23 - C<6
I cannot find the answer can someone help me?

Answers

Answer:

C > 17

Step-by-step explanation:

23 - C < 6  

-23        -23

-----------------

-C < -17

multiply both sides by -1

(-c) (-1) > (-17) (-1)

C > 17

I’m confused because I don’t know what I would put for “What scale factor takes the original polygon to its smaller copy”.

Answers

Look at the sides you’ve labeled CD. On the left figure this is 4 units long. On the right figure it’s only 1 unit long. Going from the bigger to the smaller, you’re not 1/4 the size it started at. That’s a scale factor of 1/4.

Scale factors are:
- greater than 1 if there’s growth
- less than 1 if the result is smaller.

The scale factor that takes the original H-shaped polygon to its smaller copy is 1/4, which is the ratio of the lengths of corresponding sides in the copy and the original.

When a polygon is scaled, each side is multiplied by the same factor to create the corresponding side in the smaller copy. The scale factor is the ratio of the lengths of corresponding sides in the copy and the original.

Let's denote the scale factor as k. In this case, we are given that the smaller copy is a scaled version of the original, so the lengths of corresponding sides in the copy and the original are related by the scale factor:

[tex]Scale\ factor\ \(k = \frac{\text{Length of corresponding side in copy}}{\text{Length of corresponding side in original}}\)[/tex]

Given that the scale factor [tex]\(k = \frac{1}{4}\)[/tex], it means that each side in the smaller copy is one-fourth the length of the corresponding side in the original.

For example, if the original H-shaped polygon has a side of length 5 units, the corresponding side in the smaller copy would be [tex]\(5 \times \frac{1}{4} = 1.25\)[/tex] units.

This process applies to all sides of the original H-shaped polygon, and each side's length is multiplied by the scale factor to get the corresponding side length in the smaller copy.

So, the scale factor that takes the original H-shaped polygon to its smaller copy is indeed 1/4), which represents the ratio of the lengths of corresponding sides in the two polygons.

To know more about scale factor, refer here:

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PLEASE show all work!!!

If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?

Answers

The base of the rectangle , b = 28 cm

The area of the rectangle , A = 588 cm^2

Therefore , the height of the rectangle , h = A/b

=588/28 cm = 21 cm .

find locus of a point which moves so that
it's distance from the point (2,1) is double its distance from (1,2)

Answers

Answer:

hi,

Step-by-step explanation:

Let say P=(x,y) a point of the locus

[tex]Distance\ from\ P\ to\ (2,1)= \sqrt{(x-2)^2+(y-1)^2} \\Distance\ from\ P\ to\ (1,2)= \sqrt{(x-1)^2+(y-2)^2} \\\\\sqrt{(x-2)^2+(y-1)^2} =2*\sqrt{(x-1)^2+(y-2)^2} \\\\(x-2)^2+(y-1)^2=4*((x-1)^2+(y-2)^2)\\\\3x^2-4x+3y^2-14y+15=0\\\\[/tex]

[tex]3x^2-4x+3y^2-14y+15=0\\3(x^2-2*\dfrac{2}{3} x)+3(y^2-2*\dfrac{7}{3}*y) +15=0\\3(x^2-2*\dfrac{2}{3}*x+\dfrac{4}{9})+3(y^2-2*\dfrac{7}{3}*y+\dfrac{49}{9} ) +15-\dfrac{4}{3}-\dfrac{49}{3}=0\\\\3(x-\dfrac{2}{3})^2+3(y-\dfrac{7}{3})^2-\dfrac{8}{3}=0\\\\\\\boxed{(x-\dfrac{2}{3})^2+(y-\dfrac{7}{3})^2=\dfrac{8}{9}}\\\\[/tex]

Locus is the circle of center (2/3,7/3) and radius =2√2  /3.

How many names would be said if in a room of 875 people each said everyone name?

Answers

Answer:

765625

Step-by-step explanation:

because 875x875 is 765625

Answer:

765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)

Step-by-step explanation:

Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."

There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 minutes, and then flies directly back to the hive at 6
feet per second. It is away from the hive for a total of 23 minutes.
a. What equation can you use to find the distance of the flowerbed from the hive?
b. How far is the flowerbed from the hive?

Answers

Answer:

Step-by-step explanation:

d = distance from hive to flowers, in feet

flying time = 23 min - 18 min = 5 min = 300 sec

time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec

time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec

d/10 + d/6 = 300 sec

:::::

d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300

d = 300×30/8 = 1,125 ft

What is the quotient of 8,595 ÷ 24?

Answers

Hey there!

The quotient of 8595 ÷ 24 would be 358.125.

Hope this helps!

Have a great day!

Your answer would be 358.1

Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D

Answers

Answer:

point b is located at -0.905 . If it was -0.95 then it would be point A

Answer:

point B

I hope it's helps you

Plsss helpppp worth 100 points + other 2 questions

1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)

a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.

2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.

Answers

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Answer:

1.)

A.) phase shift is c = 6  

B.) Vertical shift is 21 units down  

C.) The amplitude is 5 from the midline at y = -21  

D.) The period is 16 and the frequency factor is pi/8  

E.) 5 cos(pi/8(x - 6)) - 21

2.)

Answer:

A.) Vertical shift is 12 units down

B.) The amplitude is 10

C.) The period is 6 and the frequency factor is pi/3

D.) Equation: y = 10sin(pi/3(x)) + 12

Step-by-step explanation:

pls hello ASAP 3/4+(2 1/2)​

Answers

Answer:

Step-by-step explanation:

Which polygon has two sets of parallel sides?
A. Which polygon has two sets of parallel sides?
A.

B.

C.

D.


B.

C.

D.

Answers

Answer:

No. D

please mark me as brainliest please

Answer:

The trapezoid.

(it's the third picture)

Find a16 of the sequence 1, 6, 11, 16, ....

A. 81
B. 66
C. 76
D. 71

Answers

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

What is the amplitude of sin ?

Answers

You haven't provided a graph or equation so I will tell the simplified meaning of amplitude instead.

Amplitude, is basically a distance from midline/baseline to the maximum or minimum point.

For sine function, can be written as:

[tex] \displaystyle \large{ y = A \sin(bx - c) + d}[/tex]

A = amplitudeb = period = 2π/bc = horizontal shiftd = vertical shift

I am not able to provide an attachment for an easy view but I will try my best!

We know that amplitude or A is a distance from baseline/midline to the max-min point.

Let's see the example of equation:

[tex] \displaystyle \large{y = 2 \sin x}[/tex]

Refer to the equation above:

Amplitude = 2b = 1 and therefore, period = 2π/1 = 2πc = 0d = 0

Thus, the baseline or midline is y = 0 or x-axis.

You can also plot the graph on desmos, y = 2sinx and you will see that the sine graph has max points at 2 and min points at = -2. They are amplitude.

So to conclude or say this:

If Amplitude = A from y = Asin(x), then the range of function will always be -A ≤ y ≤ A and have max points at A; min points at -A.

Can someone explain how this equation is solved? I have it already solved but I don't understand how the outcome is got but here is the problem.

Selling price=(1+r)(original cost)
63=(1+r)(42)
1.5=1+r
r=0.5

How did we go from that first part of the problem to the second; what was done exactly?

Answers

First step plug in the values
Then 63/42
Then 1.5-1

Write the explicit rule of the sequence -1/3, -1 2/3, -3, -4 1/3 ​

Answers

Answer:

-1 1/3

Step-by-step explanation:

You can see that if you subtract 1 1/3 from -1/3, you get -1 2/3, and so on

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

round 387.869911589to 3 decimal places

Answers

ANSWER:
387.870

You have to add the zero in order to round it to three places

I just need some help in math. This problem specifically

Answers

Answer:

∠ ABD = 37° , ∠ DBC = 58°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 23 + 9x - 5 = 95 , that is

11x + 18 = 95 ( subtract 18 from both sides )

11x = 77 ( divide both sides by 11 )

x = 7

Then

∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°

∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°

Step-by-step explanation:

Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .

type the correct answer rounded to the nearest ten dollars

Answers

Answer:

$120.00

Step-by-step explanation:

brainliest please

Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}

Answers

Answer:

C and D.

Step-by-step explanation:

We want to solve the equation:

[tex](x-1)^2 = 50[/tex]

We can take the square root of both sides. Since we are taking an even root, we need plus/minus:

[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]

Note that:

[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]

Hence:

[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]

And by adding one to both sides:

[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]

In conclusion, our answers are both C and D.

Pls help ASAP for 15 point

Answers

Answer:

[tex] \sqrt{ - 17 } \\ 20\% \\ 1 \times \frac{1}{2} \\ \sqrt{17} \\ 8[/tex]

The value of the 7 in 37,560 is blank the value of the 7 and 4,720

Answers

Answer:

The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.

Step-by-step explanation:

In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

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