16. Levi has two pieces of decorative tapes, one x cm long and the other x(x+1)
cm long. To decorate an album, she wants to cut them up to produce many
pieces of decorative tapes that are all of the same length, with no left overs.

a. Express in terms of x the greatest possible length, in cm, that she can cut
them into.

b. The difference in length between the two tapes is 4 cm. What is the value of

c. Hence, or otherwise, how many smaller decorative tapes can she produced in
all?

Answers

Answer 1
The answer is A
Explanation it’s A

Related Questions

The radius of a semicircle is 1 meter. What is the semicircle's perimeter?

Answers

Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.

Answers

Answer:

It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.

Step-by-step explanation:

3 consecutive integers have a sum of 120. What is the least of these integers

Answers

Answer:

39

Step-by-step explanation:

39 + 40 + 41 = 120

39 is the least of these integers

Which type of data would be best displayed in a histogram?

Answers

Answer: A graphical display of data using different heights

A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0

Answers

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Sequence and series

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Learn more on series here; https://brainly.com/question/7882626

i cannot do this question and i am stuck

Answers

Answer:

-57

Step-by-step explanation:

[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]

2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?

Answers

Answer:

4

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?

Equation 1: 3x+2y=9

Equation 2: -x+3y=8

A) -3x+3y=8

B) -3x-9y=24

C) 3x+9y=24

D) 3x-9y=-24

Answers

i’m pretty sure it’s 3xbecause it’s right

The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?​

Answers

Answer:

X=8 years, option F

Step-by-step explanation:

Answer

6 years

Step-by-step explanation:

The answer is 6 years

The function f(t)=1900(1. 4)^t

t

represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?

Answers

Answer:

Increasing by 40%

Step-by-step explanation:

This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.

Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6

Answers

Answer:

a

Step-by-step explanation:

you need to have same kx for lines to be parallel.

y=kx+l

l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same

What is the inverse of f(x)=1/3x+2?

Answers

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2

Answers

Answer:

[tex]a=3,~ b = -6,~ c=2[/tex]

Step-by-step explanation:

[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]

I will give Brainlyist to the first person who replies and gets most of the answers correct.

Answers

31) 12
32) integers ??
33) 3/5
34) 6.5 ???
35) 3,000,000
36) 8
37) 15
38) 1

How do you calculate scale factor of the sides of figures

Answers

Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.

Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...

Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...

Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer

Will give brainlist
Identify the multiplication problem that matches the model.


4 x 3/4

4 x 1/3

4 x 3

3 x 3/4

Answers

4 x 3/4 Sure hope this helps you

Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0

Answers

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

How to determine the circle equation?

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

https://brainly.com/question/1559324

Please help this is due in 10 minutes!!!

Answers

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]

Solve:

[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63

The volume is 3053.63 un³.

how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?

Answers

Answer:

14137.17 cubic cm

Step-by-step explanation:

I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.

IMPORTANT : When it says air-  you have to realize it's VOLUME.

given:

radius= 15 cm

to find:

the amount of cubic centimeters of air needed to fill the soccer ball.

solution:

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]

[tex]v = 14137.17 {cm}^{3} [/tex]

therefore, the soccer ball can hold 14137.17 cubic centimeters of air.

I need help with this problem if anyone wants to help me please do

Answers

Answer:

11

Step-by-step explanation:

hope this helps loves x

4 divide44 is11
That’s a right answer

A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?

Answers

Answer:

7 in

Step-by-step explanation:

L * W * H = volume

L * 5 * 9  = 315

L = 315 / (5*9) = 7 in

According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5

Answers

The factor of the polynomial 3x³ – 5x² – 12x + 20 is  (x – 2), (x + 2), and (3x – 5). Then the correct option is D.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

f(x) = 3x³ – 5x² – 12x + 20

Then the factor of the polynomial will be

f(x) = (x – 2)(x + 2)(3x – 5)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer: D.) 3x-5

Step-by-step explanation:

I would know because I got it right on my unit test.

What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?

Answers

Answer: 2584

Step-by-step explanation: Length × height × width

Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x

Answers

Answer:

f(g(x))=3x^2-30x+75

Step-by-step explanation:

We want to find the value of f(x) when x is equal to g(x)

So we can substitute the value of g(x) into the f(x) equation

f(g(x))= 3(5-x)^2

f(g(x))= 3(25-10x+x^2)

f(g(x))=3x^2-30x+75

Completely simplified version: 3(x-5)^2

A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.

Answers

Answer:

813.33 N/m²

Step-by-step explanation:

Before finding the answer to this, let us convert 750cm² to m².

1 m ⇒ 100cm

1 m × 1 m ⇒ 100 cm × 100 cm

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

1 m² ⇒ 10000 cm²

 x    ⇒ 750 cm²

Let us use cross multiplication to find the value of x.

10000x = 750 × 1

10000x = 750

x = 750/10000

x = 0.075

∴ 750 cm² = 0.075 m²

And now let us find the pressure.

Pressure = Force ÷ Area

Pressure = 61 N ÷ 0.075 m²

Pressure = 813.33 N/ m²

What is the value of the expression below?
( - 4/9 ) x (4 1/3 )

Answers

Answer:

[tex]-\frac{52}{27}[/tex]

Step-by-step explanation:

Let's first convert everything to improper fractions as it becomes easier to compute with.

[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]

Now we can put that back into the expression:

[tex]-\frac{4}{9} * \frac{13}{3}[/tex]

Nothing cancels out so the answer we get is:

[tex]-\frac{52}{27}[/tex]

I took picture off it

Answers

Answer:

F

Step-by-step explanation:

the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th

PLEASE HELP!!!!I’LL GIVE BRAINLIEST!

find the supplementary angle to an angle
that is 128.9º. explain your answer

Answers

First to know what a supplementary angle is as an angle that is 180 degrees.

Explanation:
To find the missing number you would take what the angle add up to (180) and subtract it by the given number(128.9). In this case your answer would be 51.1 degrees.

8. (8, 6); 5x - 5y = 10
7x - 14y = -28

Answers

Answer:

28

Step-by-step explanation:

because 28 is the last one

A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.

Which arrangement of caramels requires the least cardboard?

Answers

Answer:

five by four

Step-by-step explanation:

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