A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.
The pencil is centimeters shorter now than when it was new.

Answer:

LxWxH

Step-by-step explanation:

Volume can be calculated by using the formula: (length) x (width) x (height)

In this particular question, you are given the length as 13cm, the width as 8cm, and the height of 22cm.

To obtain the volume, you should plug these numbers into the formula (length) x (width) x (height)

When plugged in, the equation should look like this: (13cm) x (8cm) x (22cm).

When 13 x 8 x 22 =2288cm

Since you are calculating the volume, the answer will be given in centimeters cubed, so your final answer will be 2,288cm^3

Hope this explanation helps :)

Answer:

I think the answer is 2288 cm

In order to find volume of a rectangular prism you have to do l x w x h (length times width times height)

13 x 8 = 104

104 x 22 = 2288

I hope its right sorry if nott:(

Step-by-step explanation:

Answer:

7ft

Step-by-step explanation:

p=paul's height

s=steve's height

t=theresa's height

p=s

1 and 1/2=3/2

1 and 1/3=4/3

p=-16+(3/2)t

s=-6+(4/3)t

p=s so

-16+(3/2)t=-6+(4/3)t

add 6 to both sides

-10+(3/2)t=(4/3)t

times both sides by 6 to clear fractions

-60+9t=8t

minus 9t both sides

-60=-t

times -1

60=t

t=60

theresa is 60 inches or 5ft

steve and paul are 84 inches or 7ft (wow!)

Answer:

[tex]c\leq -32[/tex]

Step-by-step explanation:

Let

c ---> the number

we know that

The number c plus 6 must be less than or equal to -26

so

The inequality that represent this situation is

[tex]c+6\leq -26[/tex]

Solve for c

Subtract 6 both sides

[tex]c\leq -26-6[/tex]

[tex]c\leq -32[/tex]

The solution for c is the interval (-∞,-32]

All real numbers less than or equal to -32

In a number line, the solution is the shaded area at left of c=-32 (closed circle)

see the attached figure to better understand the problem

Answer:

The amount of sales in order to meet her goal must be greater than or equal to $20,000

Step-by-step explanation:

Let

x----> represent the amount of sales Liz will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $2,800 each month

so

The inequality that represent this situation is

[tex]0.03x+2,200\geq 2,800[/tex]

solve for x

subtract 2,200 both sides

[tex]0.03x \geq 2,800-2,200[/tex]

[tex]0.03x \geq 600[/tex]

divide by 0.03 both sides

[tex]x \geq \$20,000[/tex]

The amount of sales in order to meet her goal must be greater than or equal to $20,000

Answer:

The answer is 13 if you count 0.

Step-by-step explanation:

The sequence is as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…

Also, have a great day and Happy Valentines! <3

Step-by-step explanation:

Answer:

Step-by-step explanation: You would do 5x+20+x+40=180

Then you would add 5x and x together and you would also add 20 and 40 together and then you get: 6x+60=180

You would then subtract 180-60 and then you should get 6x=120 and the you would divide from both sides and you should get x=20 you would then plug it into both angles So 5(20)+20 and you should get 120 for the left angle and then you would do the next angle which would be 20+40=60 for the right angle

Short version:

5x+20+x+40=180

6x+60=180

6x=120

X=20

Answer:

OkAy reeee

Step-by-step explanation:

BOOMER

Answer:

0.3 units

Step-by-step explanation:

The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

[tex]\frac{l}{6}=\frac{20}{360}[/tex]

This implies that:

[tex]l=\frac{20}{360}*6[/tex]

This simplifies to: [tex]l=\frac{20}{60}[/tex]

[tex]l=\frac{1}{3}=0.3 units[/tex]

Since the circumference of this circle is 6 units, the length of the arc formed is equal to 0.33 units

Given the following data:

Circumference = 6 units.

Central angle = 20°

Mathematically, if you want to determine the length of the arc formed by a circle, you will divide the angle subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle as follows:

20/360 × 6 = 0.33 units.

Read more on circumference here: brainly.com/question/14478195

Answer:

Step-by-step explanation:

8(4x + 8) = 160.....distribute the 8 thru the parenthesis

8(4x) + 8(8) = 160

32x + 64 = 160....subtract 64 from both sides

32x + 64- 64 = 160 - 64

32x = 96

x = 96/32

x = 3 <===

We want to analyze the terms of the given expression.

15) second term, z/3

16) third term, 2*w

The given expression is:

1 + z/3 + 2*w

15) We want to find which part of the expression is a quotient.

A general quotient is something of the form a/b, so compared with the expression, the term that is a quotient is the second term; z/3.

Where the first number, z, is called the numerator and the second is called the denominator.

Notice that the variable z is on the numerator, so this would be a linear dependence with z.

16) We want to find which part of the expression is a product of two factors.

It is the third term, 2*w

Where the two factors are 2 and w.

Again, the variable si w, and we are multiplying it by a constant number, 2.

So we also have a linear dependence with w.

If you want to learn more, you can read:

https://brainly.com/question/7510157

In the expression 1 + z/3 + 2w, the quotient is z/3, where z is the numerator and 3 is the denominator. The product of two factors is 2w, with 2 and w being the factors.

The student asked about parts of the expression 1 + z/3 + 2w.

15) Quotient in the Expression

The quotient refers to the result of division. In the expression given, the quotient is z/3. Its parts are the numerator z, which is the value being divided, and the denominator 3, which is the value by which z is divided.

16) Product of Two Factors in the Expression

The product refers to the result of multiplication. In the expression, the product is 2w. Its parts are the two factors being multiplied: the constant 2 and the variable w.

Answer:

Step-by-step explanation:

   1                7              7       <== numerator

--------     X   ------   =   --------

  6                 8             48    <== denominator

" the product " is the result of multiplying

so the product of the numerators is 7

The product of the numerators is 7.

All fragments correspond of a numerator and a denominator and they're separated by a vertical bar known as the fractional bar.

Given:

We have have to multiply the fraction 1/6 to 7/8.

First, the product of Numerator

1 x 7 = 7

and, product of Denominator

6 x 8 = 48

Thus, the product of the numerators is 7.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ2

Option 2: A and B only

Step-by-step explanation:

A: [tex]\{(0,9),(3,12),(-5,10),(5,10)\}[/tex]

The function can be represented in ordered pairs. Also, the x-values are not repeated and each has only one y-value. Hence, in this given ordered pair the values of x are not repeated and each has only one y-value.

Thus, A is a function.

B: [tex]y=x^{2} +10[/tex]

This is the general way of representing a function in which the input value (x-value) exactly related to one output value (y-value). Hence, in this given function the x-value has only one y-value.

Thus, B is a function.

C: The function can also be represented using tables in which each x-value is not repeated and has only one y-value. But, in this given table, the values of x (x=10) are repeated twice.

Thus, C is not a function.

Option 1: A only

Reason: A and B are the correct representations of the function.

This option 1 is not the correct answer.

Option 2: A and B only

Reason: A and B are the correct representations of the function.

This option 2 is the correct answer.

Option 3: A and C only

Reason: C is not a function. Only A and B are the correct representations of the function.

This option 3 is not the correct answer.

Option 4: A, B and C

Reason: Only A and B are the correct representations of the function and C is not a function.

This option 4 is not the correct answer.

Answer:

the question lacks the full information and is incomplete.

Step-by-step explanation:

Work is provided in the image attached.

Answer:  distance = 406 miles

speed = 58 miles/hr

Step-by-step explanation:

4 hours - 232 miles

1 hr - 232/4

7 hours - 232/ 4 x 7 = 406 miles

Therefore , her distance is 406 miles for 7 hours.

Speed = distance / time

speed = 406/7 = 58 miles/hr

Answer:25.12

Step-by-step explanation:

Answer:

The correct answer is indeed 3.5 :)

Step-by-step explanation:

just took the test <3 hopes this help

The value of x is 3.5.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Right triangle with vertices labeled as A, B, and C.

Side C B is the base and the top vertex is A.

Side A B contains a midpoint D.

A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D.

Side A C= 5.

Base C B = 6.

Line Segment A D = x.

Segment B D=4.2.

4.2/6=x/5

Apply cross multiplication

4.2×5=6x

21=6x

Divide both sides by 6

x=3.5

Hence, the value of x is 3.5.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ6

Option C: Three-fourths greater-than two-thirds

Solution:

Option A: A number line going from negative 1 to 1.

Explanation: A number line is used to define a point in a given interval. And hence, a number line does not goes from negative 1 to 1.

Thus, this statement is false.

Option B: One-half less-than one-third

Explanation: The statement can be written as

[tex]\begin{array}{c}{\frac{1}{5}<\frac{1}{3}} \\{0.5<0.33}\end{array}[/tex]

which is not possible.

Hence, this inequality is false.

Option C: Three-fourths greater-than two-thirds

Explanation: The statement can be written as

[tex]\begin{array}{c}{\frac{3}{4}>\frac{2}{3}} \\{0.75>0.667}\end{array}[/tex]

which is true.

Hence, this inequality is true.

Option D: Negative one-fourth less-than negative two-thirds

Explanation: The statement can be written as

[tex]\begin{aligned}-\frac{1}{4} &<-\frac{2}{3} \\-0.25 &<-0.667\end{aligned}[/tex]

This is not possible.

Hence, this inequality is false.

Option E: Negative 1 greater-than three-fourths

Explanation: The statement can be written as

[tex]\begin{array}{l}{-1>\frac{3}{4}} \\{-1>0.75}\end{array}[/tex]

This is not possible.

Hence, this inequality is false.

Answer:

the person who answered this question is actually correct she just put option c when its actually option d people make mistakes its okay thats how u learn

Step-by-step explanation:

Answer:

Cost of one glove pair is $ 8.50 and the cost of one hat is $6.50

Step-by-step explanation:

Let g represents the cost of one gloves pair

h represents the cost of one hat

Then

Cody brought two pairs of gloves and four hats for $43.00

This can be written as

2g + 4h = 43-------------------(1)

Tori bought two pairs of gloves and two hats for 30.00

This can be written as

2g + 2h = 30------------------(2)

Subtracting (2) from (1)

2g + 4h = 43

2g + 2h = 30

(-)

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

0g + 2h = 13

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

2h =13

h = 13 / 2

h = 6.5---------------------(3)

Substituting (3) in (2)

2g + 2(6.5) = 30

2g + 13 = 30

2g = 17

g = 17 / 2

g = 8.5

So one hat is $6.50 and one pair of gloves is $8.50.  

Final answer:

The equivalent expression to 5(3x+4-x) is obtained by combining like terms and distributing the 5, which results in 10x + 20.

Explanation:

To find an expression equivalent to 5(3x+4-x), we must first simplify the expression inside the parentheses. We combine like terms 3x and -x, which gives us 2x. Then, we distribute the 5 across the simplified expression within the parentheses:

5(3x+4-x) = 5(2x+4) = 5*2x + 5*4 = 10x + 20.

So the expression equivalent to 5(3x+4-x) is 10x + 20. This process involves simplifying expressions step by step, ensuring clarity and accuracy in mathematical computations. By systematically combining like terms and distributing constants, we obtain a concise and equivalent expression that represents the original expression's value.

Step-by-step explanation:

The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.

                          i.e. 1 + 3 + ........+ (2n-1) = n^2.  

                                1 + 3 +..........+ (2n-1) = 64

                                                                n^2 = 64

                                                                    n = 8.

The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.

100 = 7 * 14 + 2

200 = 14 * 14 + 4. The answer is 14 - 7 = 7

The seven numbers are

                        14 * 8 = 112

                        14 * 9 = 126

                        14 * 10 = 140

                        14 * 11 = 154

                        14 * 12 = 168

                        14 * 13 = 182

                        14 * 14 = 196

Answer:

The following observation and calculations show that the iterative rule is correct.

Step-by-step explanation:

The second reason why these calculations are true is the fact these calculations represent geometric sequence.

Considering the data

200, 220, 242, 266.2, 292.82, 322.102,....

Any sequence is said to be the geometric sequence If the ratio between two consecutive terms remains constant - commonly known as common ration which is denoted by 'r'.

As the ratio between two consecutive terms remains constant. For example,

[tex]r=\frac{220}{200} =1.1, r=\frac{242}{220} =1.1, r=\frac{266.2}{242} =1.1[/tex]

So, the given sequence is a geometric sequence. In other words, in Geometric Sequence each term can be found in terms of multiplying the previous term by a constant factor which is 1.1.

So,

220 is obtained by multiplying 200 by 1.1.

i.e. 200×1.1 = 220

Also,

242 is obtained by multiplying 220 by 1.1.

i.e. 220×1.1 = 242

and so on...

Therefore, it is clear from the current observation and calculation that the iterative rule is correct.

Keywords: sequence, geometric sequence

Learn more about sequence from brainly.com/question/5687742

#learnwithBrainly

Answer:

If Θ = 1 rad, then r ≤ s

If s = 1/2r, then 2Θ = 1

If s/(2r)=1, then Θ = 2

Step-by-step explanation:

we know that

The arc length s is equal to

[tex]s=r\theta[/tex]

where

r is the radius

[tex]\theta[/tex] is the central angle in radians

Verify each statement

case 1) If Θ = 2 rad, then r > s

The statement is false

Because

For Θ = 2 rad

substitute

[tex]s=r(2)\\s=2r[/tex]

so

[tex]s>r[/tex]

case 2) If Θ = 1 rad, then r ≤ s

The statement is true

Because

For Θ = 1 rad

substitute

[tex]s=r(1)[/tex]

[tex]s=r[/tex]

so

[tex]r\leq s[/tex] ---> is true

case 3) If s = 1/2r, then 2Θ = 1

The statement is true

Because

For s=1/2r

substitute

[tex]\frac{1}{2}r=r\theta[/tex]

[tex]\theta=\frac{1}{2}[/tex]

[tex]2\theta=1[/tex]

case 4) If s/2r=1, then Θ = 2

The statement is true

Because

For Θ = 2

substitute

[tex]s=r(2)\\\\\frac{s}{2r}=1[/tex]

4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.

Solution:

Let us assume that x is the required pounds sugar to make 5% syrup

[tex]\Rightarrow\frac{x}{\text{total quantity}}=5\%[/tex]

which is [tex]\frac{x}{5}=5\%[/tex]

On solving we get,

[tex]\Rightarrow\frac{x}{5} =0.05 [5\%=\frac{5}{100}][/tex]

[tex]\Rightarrow x = 5\times0.05\rightarrow x=0.25[/tex]

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

[tex]5 \text{ lbs }-0.25 \text{ lbs }=4.75 \text{ lbs }[/tex]

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.

Answer:

4.75 lbs of water and 0.25 lbs of sugar is needed to make 5% of syrup.

Solution:

Let us assume that x is the required pounds sugar to make 5% syrup

which is  

On solving we get,

If the required sugar to make 5% syrup is 0.25 lbs then the remaining quantity in the total sugar syrup would be water. That is,

So, the required amount is 0.25 lbs of sugar and 4.75 lbs of water.

Step-by-step explanation:

Answer:

you need to give more information for a good answer

Answer:

See below.

Step-by-step explanation:

John has 16 cups of apples and 15 cups of flour..

A pie needs 4 cups of apples and 3 cups of flour.

Apples: 16/4 = 4     he has enough apples to make 4 pies.

Flour: 15/3 = 5      he has enough flour to make 5 pies.

He can only make 4 pies, because of the amount of apples he has.

By making 4 pies, he uses all his apples, and he can make no cobblers.

x = 4 pies; y = 0 cobblers

Plot (4, 0).

A pie needs 2 cups of apples and 3 cups of flour.

Apples: 16/2 = 8     he has enough apples to make 8 cobblers.

Flour: 15/3 = 5        he has enough flour to make 5 cobblers.

He can only make 5 cobblers, because of the amount of flour he has.

By making 5 cobblers, he uses all the flour, and he can make no pies.

x = 0 pies; y = 5 cobblers

Plot (0, 5).

Now we calculate the amount of money.

At point (4, 0), 4 * $3 = $12

At point (0, 5), 5 * $2 = $10

Point (4, 0) shows a profit of $12 which is the most profit he can make.

Answer:

Mean, median, and mode are three kinds of "averages".

Step-by-step explanation:

Find the mean, median, mode, and range for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

The mean is the usual average, so I'll add and then divide:

(13 + 18 + 13 + 14 + 13 + 16 + 14 + 21 + 13) ÷ 9 = 15

Note that the mean, in this case, isn't a value from the original list. This is a common result. You should not assume that your mean will be one of your original numbers.

The median is the middle value, so first I'll have to rewrite the list in numerical order:

13, 13, 13, 13, 14, 14, 16, 18, 21

There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:

13, 13, 13, 13, 14, 14, 16, 18, 21

So the median is 14.

The mode is the number that is repeated more often than any other, so 13 is the mode.

The largest value in the list is 21, and the smallest is 13, so the range is 21 – 13 = 8.

mean: 15

median: 14

mode: 13

range: 8

Final answer:

Mean, median, and mode are basic statistical measures used to find the center of a data set. Mean finds the average, median identifies the middle value when data is ordered, and mode determines the most frequently occurring value.

Explanation:

Mean, median, and mode are measures of central tendency that describe the way in which different values cluster around a central point in a set of data.

The mean is the average of all the numbers in the data set. You calculate the mean by adding up all the numbers and dividing by the total number of values.

The median is the middle value of an ordered data set. If the data set has an odd number of values, the median is the exact middle number. If there is an even number of values, the median is the average of the two central numbers.

The mode is the value that appears most frequently in the data set. If no number repeats, the data set has no mode; if two or more numbers occur with equal frequency and more often than any other number, the dataset is multimodal, having several modes.

Each of these measures provides a different perspective on the typical value or center of a dataset, and is useful in various statistical analyses.

Area of the doghouse =- 32.5 sq. ft

Solution:

Given height = 5 ft, base1, [tex]b_1[/tex] = 5ft

Base2, [tex]b_2[/tex] = [tex]b_1+3=5+3=8[/tex] ft

Area of the trapezoid = [tex]\frac{1}{2}\times height\times (base1 +base2)[/tex]

                                   [tex]=\frac{1}{2}\times 5\times (5+8)[/tex]

                                   [tex]=\frac{1}{2}\times 5\times 13[/tex]

                                   [tex]=\frac{1}{2}\times 65[/tex]

                                   [tex]=32.5[/tex] sq. ft

Area of the trapezoid = 32.5 sq.ft

Hence the area of the doghouse is 32.5 sq. ft.

Answer:

1

Step-by-step explanation:

These are two lines with different slopes and y intercepts so they will intersect once

Final answer:

Explaining how to find the number of solutions in a system of linear equations.

Explanation:

The given equations are:

y = x - 3

4x - 10y = 6

To find the number of solutions, we can solve these equations simultaneously.

Substitute y = x - 3 into the second equation and solve for x to find the value of y. If the solution leads to a valid pair of x and y that satisfies both equations, then there is one unique solution, otherwise there are no solutions.