Jenna uses the Fermi process to estimate the number of stickers it would take to cover her bedroom floor. Both her stickers and her floor are rectangular in shape. . She estimates her stickers to be about 2 in. long and 1 in. wide . She estimates her bedroom floor to be about 20 ft long and 10 ft wide Which expression should Jenna use in the process?

Answers

Answer 1

Answer:

3x10^4/2x10^0

Step-by-step explanation:

just took the test!!

Answer 2

The expression that Jenna should use in the process is area of floor/area of sticker

How to find the surface area of a figure

The surface area is defined as the sum of area of the faces.

Area of rectangle = lengh * width

Determine the area of the rectangular sticker

The area of the rectagular sticker = 2in * 1in

The area of the rectagular sticker = 2 square inches

Determine the area of the bedroom floor

Area of the floor = 20ft * 10ft

Area of the floor = 200 square feet = 28800 square in

Determine the number of stickers needed

Number of stickers needed = area of floor/area of sticker

Number of stickers needed = 28800/2
Number of stickers needed = 14400 stickers

The expression that Jenna should use in the process is area of floor/area of sticker

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Related Questions

given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the standard unit vector i and j.

Answers

Answer:

v=3i+8j

Step-by-step explanation:

The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).

To find the components of vector v, we subtract the terminal points from the initial point to obtain.

v=<1,2>-<-2,-6>

v=<1--2,2--6>

v=<1+2,2+6>

v=<3,8>

As a linear combination of the standard unit vectors.

v=3i+8j

What is the value of r, the part of the job that Marina can complete in 1 hour?

Answers

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

Find the Surface area. Round your answer to the nearest hundredth.
A.555.72 ft2
B. 568.40 ft2
C. 570.20 ft2
D. 575.31 ft2

Answers

Answer:

C

Step-by-step explanation:

The answer is C.

Hope this helps :)

Simplify the expression for questions 1,2,3

Answers

32√2

-5√5

3√7 + 7√6;

Find the highest perfect square and non-perfect square that will give you the product of what is inside the radicals, multiply the square roots of those perfect squares by their outside terms, and you will have your simplified radicals.

If a varies directly as b, and a = 28 when b = 7, find b when a = 5.

A 4/5
B 5/4
C 39.2

Answers

Answer: Option B.

[tex]b=\frac{5}{4}[/tex]

Step-by-step explanation:

If a varies directly with b then when a increases b it also increases by a factor k.

Then we can write that

[tex]a = kb[/tex]

We know that when a = 28 then b = 7. So

[tex]28 = k * 7[/tex]

[tex]k=\frac{28}{7}[/tex]

[tex]k=4[/tex]

Therefore the equation of proportionality is:

[tex]a=4b[/tex]

So when [tex]a=5[/tex]  then:

[tex]5=4b\\\\b=\frac{5}{4}[/tex]

ANSWER

The correct choice is B.

EXPLANATION

If 'a' varies directly as 'b' then we write the equation of variation,

[tex]a = kb[/tex]

Where k is the constant of variation.

We have that a = 28 when b = 7.

This implies that,

[tex]28= 7k[/tex]

[tex]k = 4[/tex]

The equation now becomes

[tex]a = 4b[/tex]

When we a=5, we have

[tex]5 = 4b[/tex]

[tex]b = \frac{5}{4} [/tex]

The correct answer is B

What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16

Answers

Answer:

[tex]y=\pm i \sqrt{7}[/tex]

Step-by-step explanation:

Given equation is [tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

Factor denominators then solve by making denominators equal

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]

[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]

[tex]y\left(y+4\right)-4\left(y-4\right)=9[/tex]

[tex]y^2+4y-4y+16=9[/tex]

[tex]y^2=9-16[/tex]

[tex]y^2=-7[/tex]

take squar root of both sides

[tex]y=\pm \sqrt{-7}[/tex]

[tex]y=\pm i \sqrt{7}[/tex]

Hence final answer is [tex]y=\pm i \sqrt{7}[/tex].

The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of the circle circumscribed about this triangle.

Answer in CM, please. Thanks!

Answers

Answer:

16cm

Step-by-step explanation:

To find the diameter we must first find the radius and multiply by 2.

The isosceles triangle that has the length of a leg to be 8cm and a vertex angle of [tex]120\degree[/tex] that has been circumscribed is shown in the attachment.

We draw a line from the vertex of the isosceles triangle that bisects the base through the center O of the circle.

This implies that [tex]m\angle OAC=60\degree[/tex].

Based on this [tex]m\angle ACO=60\degree[/tex] because the two radii are equal.

It follows that:[tex]m\angle AOC=60\degree[/tex] because sum of angles in a triangle must be 180 degrees.

This means that, triangle AOC is an equilateral triangle, hence all sides are equal.

One side of this equilateral triangle happens to be the side of the leg of the isosceles triangle which is 8cm.

It follows that, the radius of the circle is 8cm.

Therefore the diameter of the circle is 16cm

i need help Distribute 7(5-3). What is the expanded form?

Question 3 options:

a (7 x 3) - (7 x 5)


b (7 + 5) - (7 + 3)


c (7 x 5) - (7 x 3)


d(7 x 5) + (7 x 3)

Answers

The answer is C
Goood luck broski

Answer: The answer to your question is C. (7*5) - (7*3)

Step-by-step explanation: because when you have an expression or equation in parentheses, you apply the distributive property to get rid of the parentheses:

The problem will now look like this:

[tex]7(5-3)= (7*5) - (7*3)[/tex]

And if they asked you for the answer in a whole number, it would be 14 because

7*5=35 and 7*3=21

35-21=14

So, therefore, the expanded form would be (7*5) - (7*3)

The graph below shows a system of equations: y = -x - 2 and y = 2x - 5. The x-coordinate of the solution to the system of equations is?

Answers

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

Final answer:

The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.

Explanation:

To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:

First, we set the equations equal to each other since they both equal y: -x - 2 = 2x - 5.Next, we add x to both sides to get 2x + x on the right side: -2 = 3x - 5.Then, we add 5 to both sides to isolate the term with x: 3 = 3x.Finally, we divide both sides by 3 to solve for x: x = 1.

So, the x-coordinate of the solution to the system of equations is 1.

A student measures the mass of an 8cm^3 block of confectioners (powdered) sugar to be 4.49 grams. Determine the density of powdered sugar.​

Answers

Answer:

D=.56 g/cm^3

Explanation:

Density= mass/volume

D=4.49/8

D=.56 g/cm^3

Hope you get it!

An 8 cm³ block of confectioners sugar that weigh 4.49 grams would have a density of 0.56 g/cm³. Thus, the density of powdered sugar is 0.56 g/cm³

Calculating density

From the question, we are to determine the density of the powdered sugar

Density can be calculated by using the formula,

[tex]Density = \frac{Mass}{Volume}[/tex]

From the given information,

Volume = 8 cm³

and Mass = 4.49 g

Putting the parameters into the equation,

[tex]Density = \frac{4.49}{8}[/tex]

Density = 0.56125 g/cm³

Density ≅ 0.56 g/cm³

Hence, the density of powdered sugar is 0.56 g/cm³

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How many times larger is 4 x 10 12 than 8 x 10 7?

Answers

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

Final answer:

To determine how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], divide the two numbers to get [tex]0.5 * 10^5[/tex], which simplifies to [tex]5 * 10^4[/tex] or 50,000 times larger.

Explanation:

To find out how many times larger [tex]4 * 10^{12}[/tex] is than [tex]8 * 10^7[/tex], we can divide the first number by the second:

[tex]4 * 10^{12}[/tex] ÷ [tex]8 * 10^7[/tex] = (4/8) x [tex]10^{(12-7)}[/tex]

Now, simplify:

First, simplify the division of the coefficients (4/8) which equals 0.5.

Then, subtract the exponents of 10, which is 12 - 7 = 5.

So, the final answer is:

[tex]0.5 * 10^5 = 5 * 10^4[/tex]

This means that [tex]4 * 10^{12}[/tex] is 50,000 times larger than [tex]8 * 10^7[/tex].

What is the slope of the points (-3, 5) and (-1, 4)?

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-3, 5) and (-1, 4). Substitute:

[tex]m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]

Can someone plz explain compound areas thanks

Answers

Answer:

A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps: Step 1: Work out the missing lengths around the edge of the compound shape.

Step-by-step explanation:

Can someone please help . Thank you !! :)

Answers

Answer:

1000 years

Step-by-step explanation:

1x10^11 is basically 100 billion

1x10^8 is basically 100 million

so 100 billion divided by 100 milllion is basically 1000

so 1000 years

A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. Each cracker measures 2 inches in length by 1 1/2 inches in width. The volume of the column is 15 inches cubed. If there are 40 crackers in the column, what is the height of each individual cracker?
A-3/40 in
B- 1/8 in
C-1/5 in
D- 3/8 in

Answers

Answer:

b 1/8 inch

Step by step

just got right on ed

The height of each individual cracker in the vertical column is 1/8 inches.

What is the height of each individual cracker ?

The height of each individual cracker can be determined by dividing the volume of the column by 40 and the area of each cracker.

Area of each cracker = 2 x 1 1/2

= 2 x 3/2 = 3 inches

Height of each individual cracker = 15/40 x 3 = 1/8 inches

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Cone A is similar to Cone B with a scale factor of 3:5. If the surface area of Cone B is 725 ft2 (squared), find the surface area of Cone A

Answers

Answer:

one A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.

Step-by-step explanation:

The surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

How does scale factor affects the area and volume of a figure?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:

[tex]L = k \times M[/tex]

where 'k' will be called as scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by [tex]k^2[/tex]

to get each other corresponding quantity from their similar figures' quantities.

So area of first figure = [tex]k^2 \times[/tex] area of second figure

Similarly, increasing product derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

Volume of first figure = [tex]k^3 \times[/tex] volume of second figure.

It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

For this case, we're given that:

The scale factor between cone A and cone B is 3:5

That can be taken as: [tex]3/5 = 0.6[/tex] scale factor.

It means,

side length of cone A = [tex]0.6 \times[/tex] corresponding side length of cone B

Also, as given, we have:

Surface area of cone B = 725 ft²

Assume that cone A's surface area is S, then we get:

surface area of cone A = [tex]0.6^2 \times[/tex] surface area of cone B

[tex]725 = 0.6^2 \times S\\S =\dfrac{725}{0.6^2} \approx 2013.89 \: \rm ft^2[/tex]

Thus, the surface area of Cone A when  the surface area of Cone B is 725 ft² for the case when Cone A is similar to Cone B with a scale factor of 3:5 is 2013.89 ft²

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11 sq root 45-4 sq root 5

Answers

First evaluate the sq root of 45.
To do so, you have to find perfect square factors (2 x 2, 3 x 3, 4 x 4, and etc.)

The factors of 45 are 3 x 3 x 5.

Notice that there is a 3 x 3. That means you can get the 3 out of the square root and multiply with the number outside of the square root.

11(3)square root 5 - 4 square root 5

33 square root 5 - 4 square root 5

Subtracting and Adding square roots is the same thing as subtracting and Adding variables. If they have the same variable you can +/-. So if they have the same square root, then can +/-.

Answer: 29 square root 5

Answer:

[tex]29\sqrt{5}[/tex]

Step-by-step explanation:

We want to simplify:

[tex]11\sqrt{45}-4\sqrt{5}[/tex]

We need to simplify the first radical before we can subtract

[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]

[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]

This implies that:

[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]

[tex]33\sqrt{5}-4\sqrt{5}[/tex]

We have now obtained like surds.

We simplify to get:

[tex]29\sqrt{5}[/tex]

Faye has a model airplane whose scale is 7 feet to 1 centimeter. If the wing of the real airplane is 28 feet long, how long is the wing on the model?

Answers

Answer:

4 cm is the correct answer

Calculate the sales tax on purchases totaling $15,245. The
sales tax rate is 8.25%.
$825
$16,070
$16,502.71
$1,257.71
$15,245​

Answers

Answer:

D. $1257.71

Step-by-step explanation:

Used my calculator. lol

Answer:

$1257.71.

Step-by-step explanation:

8.25% = 0.0825.

So the sales tax on $15,245

= $15,245 * 0.0825

= $1257.71.

Another question pls

Answers

Answer: 4

Explanation: Every other drink is a cappuccino (or half of the total drinks). All you need to do is divide 8 by 2, which gives you 4.

The answer is 4 because if 5 of the ten drinks were cap.’s then that means half are those, therefore, half of 8 is 4

What expression represents 2 times the sum of 5 and 7

Answers

Answer:

2(5+7)

Step-by-step explanation:

2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)

Answer

(5 + 7) · 2

Step-by-step explanation

If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)

P = Parentheses {|} B = Brackets/Parentheses

That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.

The hypotenuse of a right angle triangle measures 12 units. what is the maximum possible area in square units, of the triangle ?

Answers

Answer:

The maximum possible area of the triangle is 36 units²

Step-by-step explanation:

Let

x, y the legs of the right triangle

Applying the Pythagoras Theorem

[tex]12^{2}=x^{2}+y^{2}\\\\144=x^{2}+y^{2}[/tex]

[tex]y=\sqrt{144-x^{2}}[/tex] ----> equation A

The area of the right triangle is equal to

[tex]A=\frac{1}{2}xy[/tex] ----> equation B

substitute equation A in equation B

[tex]A=\frac{1}{2}x(\sqrt{144-x^{2}})[/tex]

Using a graphing tool

The vertex of the graph is a maximum

That means

The x-coordinate of the vertex is the value of x for the maximum possible area of the triangle

The y-coordinate of the vertex is the maximum possible area of the triangle

The vertex is the point (8.485,36)

see the attached figure

therefore

The maximum possible area of the triangle is 36 units²

Been asking for this for almost a day now lol. Can someone please help me?

Please show your work on why choice C is correct

Brainliest + 40 points

Answers

Multiply her pay by the FICA tax rate:

325 x 0.0625 = $20.31

Now look in the table for her pay and then find her number of deductions ( 2) and find what the corresponding number is, then add that to her tax.

See picture:

20.31 + 2 = $22.31

Harry is saving for a vacation. He kept track of how much he saved each month over the last six months in the following table. What did Harry save per month on average?

Sep
Oct
Nov
Dec
Jan
Feb
$145.00
$166.00
$204.00
$180.00
$70.00
$150.00
a.
$152.50
b.
$158.00
c.
$915.00
d.
$155.25

Answers

Answer:

$152.50

Step-by-step explanation:

Moths   savings

Sep        $145.00

Oct        $166.00

Nov       $204.00

Dec       $180.00

Jan       $70.00

Feb      $150.00

Now we are supposed to find hat did Harry save per month on average

So, Mean = [tex]\frac{\text{Sum of all savings}}{\text{Total no. of months}}[/tex]

Mean = [tex]\frac{145+166+204+180+70+150}{6}[/tex]

Mean = [tex]\frac{915}{6}[/tex]

Mean = [tex]152.50[/tex]

So, Option A is correct.

Hence Harry saved $152.50 per month.

PLEASE PLEASE PLEASE HELP ME​

Answers

Answer:

[tex]\large\boxed{\dfrac{1}{45}}[/tex]

Step-by-step explanation:

1.

2 yellow marables of 10 all marables

[tex]P(A_1)=\dfrac{2}{10}=\dfrac{1}{5}[/tex]

2.

1 yellow marable of 9 all marables

[tex]P(A_2)=\dfrac{1}{9}[/tex]

[tex]P(A)=P(A_1)\cdot P(A_2)\\\\P(A)=\dfrac{1}{5}\cdot\dfrac{1}{9}=\dfrac{1}{45}[/tex]

What is the complete factorization of the polynomial below? X^3+3x^2-x-3

Answers

Answer:

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

Use the equation below to find a, if b = 5 and c = 12

a = 27 - b - c

Answers

Answer: 10

a=27-5-12=10

A= (27-5)=22-12=10

A=10

If Siobhan hits a 0.25kg volleyball with a 0.5 N of force , what is the acceleration of the ball ?

Answers

Answer:

Acceleration = 2 meters /second^2.

Step-by-step explanation:

Use Newton's Second Law of Motion:

Force = mass * acceleration.

0.5 = 0.25 * a

a = 0.5 / 0.25

a = 2 meters /second^2.

What is the simplest form of square root 1,764

Answers

[tex]\bf \sqrt{1764}~~ \begin{cases} 1764=&2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7\\ &2^2\cdot 3^2\cdot 7^2\\ &(2\cdot 3\cdot 7)^2\\ &42^2 \end{cases}\implies \sqrt{42^2}\implies 42[/tex]

What graph best represents the solution to the equality y - 2x > -8

Answers

Answer:

In the attachment

Step-by-step explanation:

[tex]y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\<,\ >-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\<,\ \leq-\ \ shading\ below\ the\ line\\>,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)[/tex]

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