Bianca uses an overhead projector to explain a new concept to her students. The width of the projected image was 24 feet. The width of the original image was 120 inches . Find the scale factor used to enlarge the image .

Answer:

1

Step-by-step explanation:

Answer:

y=2x-6. ---------(1)

4x-2y=14. --------(2)

substituting equation 2 in 1

4x-2(2x-6)=14

4x-4x+12=14

so it has no solution

Step-by-step explanation:

As you can see in the image below, the answer is no solution.

Answer:

it is A

Step-by-step explanation:

No matter how much you flip the equation around, the end result will be the same. I chose A because it shows exactly what I described 4+5 is the same as 5+4

Answer:

5.625

Explanation:

Step-by-step explanation:

To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .

Answer:

Step-by-step explanation:

The terms will be multiplied in order to get the simplified polynomials.

a. 6(x + 7)(x + 2)

[tex]6(x + 7)(x + 2)\\=6[x(x+2)+7(x+2)]\\=6(x^2+2x+7x+14)\\=6(x^2+9x+14)\\=6x^2+54x+84[/tex]

The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]

b. (2y – 5)^2

Using the formula: [tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex]=(2y)^2+(5)^2-2(2y)(5)\\=4y^2+25-20y[/tex]

The simplified form is: [tex]4y^2-20y+25[/tex]

c. (5x + 4y)(2x - y)

[tex]=5x(2x-y)+4y(2x-y)\\=10x^2-5xy+8xy-4y^2\\=10x^2+3xy-4y^2[/tex]

The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]

d. (3x + 7)(3x – 7)

Using the formula: [tex](a+b)(a-b) = a^2-b^2[/tex]

[tex]= (3x)^2-(7)^2\\= 9x^2-49[/tex]

The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]

e. (t + 2) – (4t +9) – t

[tex]=t+2-4t-9-t\\=t-4t-t+2-9\\= -4t-7[/tex]

The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]

Hence,

a. The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]

b. The simplified form is: [tex]4y^2-20y+25[/tex]

c. The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]

d. The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]

e. The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]

Answer:

Step-by-step explanation:

they both go thur the point (0,-4)  so they both have the same b in the slope intercept from  of  y =mx +b

but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1  , both positive.. :)

The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph, using the point (3, 0) and (0, -4):

y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)

y = (4/3)x - 4

From the table using (0, -4) and (2, -2):

y - (-4) = [(-2-(-4))/(2-0)](x - 0)

y = x - 4

The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

I think you're missing part of the question?

013/16 = 0.266

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

Answer:

15

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Answer:

The correct options are;

1) Which type needs the highest temperature to grow

2) Do all of the types make food the same way

3) How long does it take for a specific type to make seeds

Step-by-step explanation:

The number of types of species in the orchid family = Several thousand

The tasks the gardening clubs are devoted to = Collecting, Studying, and growing of the orchids

The manner of the growth of the orchids = Difficulty observed in growing outside the orchid's natural habitat

Scientific questions are objective questions that are measurable, well defined about parameters that can be controlled which can be answered by means of an experiment and meant to provide a deeper understanding of the nature of the world around us

Therefore, the scientific questions that can be asked about a collection of different orchid types are;

1) Which type needs the highest temperature to grow

The above is a question that has a defined parameter (temperature) which is measurable and the answer can be provided by experimenting

2) Do all of the types make food the same way

An experiment with different orchid types will provide an answer to the above question

3) How long does it take for a specific type to make seeds

The length of time for it takes the seed to grow is measurable within an experiment.

Answ do all types make food the same way? which type needs higher tempurturs to grow and do all types make food the same way

Step-by-step explanation:

i took the test

Answer:

3/10 liters more

Step-by-step explanation:

8/10 - 5/10 = 3/10

===================================================

Explanation:

Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.

Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.

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

Further explanation:

We can apply the half angle identity for tangent like so

[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]

Simplifying further, we get

[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]

In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.

Answer:

Answer D

Step-by-step explanation:

on edge 2023

Option C. Please mark me as brainliest.

Answer:

a.

-6a²/ b

b.

5y³

Step-by-step explanation:

a

-6a²b⁻¹

-6a²/ b

b.

5/ y⁻³

5 / 1/ y³

5 * y³/1

5y³

9514 1404 393

Answer:

  (z, v)

Step-by-step explanation:

When the sides of the rectangle align with the axes, as here, the coordinates will be all (x, y) combinations from the sets x ∈ {w, z) and y ∈ {v, z}. Three of those combinations are shown. The fourth is (z, v).

The slope-intercept form: y = mx + b

So we need to "solve" given equation for y

3.3x - 3y = 2.4           {subtracting 3.3x from both sides}

- 3y = 2.4 - 3.3x        {dividing both sides by (-3)}

  y = -0.8 + 1.1x

Therefore:

Answer:

D.) y=-12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helped you!! :)

[tex]x \: and \: y[/tex]

hope my answer is helpful to you

plz mark me as brainlist

Answer:

(2,-1,1) I believe

Answer:

a. x= 5

b. x=9

Step-by-step explanation:

a.

2x=10

10/2=5

x=5

b. 3x=27

27/3=9

x=9

Please mark me brainliest

:)

Answer:

a) x=5

b) x=9

Step-by-step explanation:

a) 2x=10

x=10/2

x=5

b)3x=27

x=27/3

x=9

Answer:

t = 33 seconds

It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.

Step-by-step explanation:

weight of the farmer = 176 lb

Sweating = 1 litre per hour

60% of above sweating is evaporated by the latent heat from farmers body.

Temperature outside = 104

Temperature of the Farmer = 100

Time to rise the temperature 4 degrees = ?

We need to use the specific heat formula to calculate the time to rise the temperature of the body of farmer.

Before, that let's convert weight of the farmer in Kg

W = 176 lb

1 lb = 0.453592 kg

176 lb = 79.8 kg

w = mg

g = 10

mass = m = 79.8/10

mass = 7.98 kg

Q = mc∆T

c = specific heat of water =  4,186

∆T  = Temperature Change = 104-100

∆T  = 4

Q = 7.98 x 4186 x 4

Q = 133617

t = Q/P

Power of Sun's Heat = 3.846×1026

t = 33 seconds

It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.

Answer:

Any from 1 to 12

Step-by-step explanation:

Answer:

7:08

Step-by-step explanation:

Answer:

[tex]m=\frac{1}{6}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, -3)

Point (14, 0)

Step 2: Find slope m

Answer:

No point

Step-by-step explanation:

This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

From the question we have

[tex]d = \sqrt{ ({ - 9 - - 10})^{2} + ({1 - - 11})^{2} } \\ = \sqrt{ ({ - 9 + 10})^{2} + ({1 + 11})^{2} } \\ = \sqrt{ {1}^{2} + {12}^{2} } \\ = \sqrt{1 + 144} \\ = \sqrt{145} \: \: \: \: \: \: \: \: \\ = 12.041594[/tex]

We have the final answer as

Hope this helps you

Answer:

y = 12

Step-by-step explanation:

proportions can be solved by cross-multiplying

to work with smaller numbers, you can simplify [tex]\frac{14}{10}[/tex] to be [tex]\frac{7}{5}[/tex]

[tex]\frac{7}{5}[/tex] = [tex]\frac{y+9}{15}[/tex]

7(15) = 5(y + 9)

105 = 5y + 45

60 = 5y

y = 12

Answer:

9.41

Step-by-step explanation: