4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

let [tex] A(-2, 4) = (x_2, y_2) [/tex]

[tex] B(?, ?) = (x_1, y_1) [/tex]

[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]

Rewrite the equation to find the coordinates of B

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

Solve for each:

[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]

[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]

[tex] 5 = x_1 - 2 [/tex]

[tex] 5 + 2 = x_1 - 2 + 2 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]

[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]

[tex] 7 = y_1 + 4 [/tex]

[tex] 7 - 4 = y_1 + 4 - 4 [/tex]

[tex] 3 = y_1 [/tex]

[tex] y_1 = 3 [/tex]

Coordinates of point B: (7, 3)

Answer:

Coordinates of point B: (7, 3)

Step-by-step explanation:

Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),

Rewrite the equation to find the coordinates of B

Coordinates of point B: (7, 3)

Answer:

a

   The population of interest is the registered voters , this is because  it is the population from which the sample size is selected from.

b

The  population is the registered voters of the  large southwestern state

c

Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

d

   Yes the result will be nearly the same because

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  5,500

Considering question a

 What is the population of interest

   The population of interest is the registered voters , this is because  it is the population from which the sample size is selected from.

Considering question b

What is the population from which the sample was selected    

  The  population is the registered voters of the  large southwestern state  

Considering question c

    Does the sample adequately represent the population

Well this does not adequately represent the population because this sample where selected from only the registered voters of the  large southwestern state  and not the whole country

Considering question d

   Yes the result will be nearly the same because

Answer:

Step-by-step explanation:

Refer to attached for the table and clearer version of the question

As per table A and B pipes feed the tank and C is the outlet

Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:

We can calculate when tank is going to be empty:

Since we got negative number, the tank is not going to be empty when all 3 pipes are open.

The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

If we have two sets A and B as:

[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]

Then, function

[tex]f:A \rightarrow B[/tex]

is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.

The connected pairs are then written as:

[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]

Under the function f.

The table shows the input and output of water from pipes A, B, and C.

Pipe                                        A                         B                        C

Flow In (gallons/minute)      a(x)=25x             b(x)=10x

Flow Out (gallons/minute)                                                       c(x)=30x

The pipes begin operating simultaneously at noon.  Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.

At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.

So, 100, A and B added in the function while C will be subtracted as,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

Thus, the function in option C represents T (x).

Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,

[tex]T(x)=100+25x+10x-30x[/tex]

[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]

This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.

Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,

[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]

The tank will not be empty when all the three pipes are in operation.

Learn more about the function here;

https://brainly.com/question/13395697

y = 1/3x +b

1 = 1/3(9) +b

1 = 3 +b

subtract 3 from both sides

-2 = b

Answer:

9/2

Step-by-step explanation:

first you convert the decimal number into a fraction

34.2/7.6= 171/5 over 7.6

then it becomes 171/5 over 38/5

then you reduce the fraction with five(so you cross out the 5's)

now youre left with 171/38

then you reduce the fraction with 19

now you have 9/2

9/2 is your answer

Answer:

$300

Step-by-step explanation:

150/5 = 30, 30 x 10 = 300

Answer:

420 Cars were tested

Step-by-step explanation:

231×100÷55=420

Answer:

multiply or divide both quantities by the same number

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions

Answer:

1. True

5/7= 0.714285

20/28= 0.714285

2. False

11/13= 0.846

22/25= 0.88

Answer:

392

Step-by-step explanation:

times 28 by 14 and youll get 392 - may i get brainliest :)

Answer:

392 people would be in the room

Step-by-step explanation:

you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together  112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392

Answer:

the pools length is 50ft^2

Step-by-step explanation:

A=l*w

2250=l*45 (u do the opposite operation)

2250/45=50

l=50

we know that,

area of the rectangle = L×B

length =area /breadth

length = 2250/45

length= 50 feet

hope it helps u and pls mark it as brainliest

Answer:

604 minutes

Step-by-step explanation:

145+459=604

Answer:

win:  64

loss:  98

Step-by-step explanation:

win:  x

loss:  x + 34

win + loss = total games

x + x + 34 = 162

2x + 34 = 162

2x = 128

x = 64

win:  64

loss:  (64) + 34 = 98

1,000,000

2,500,000x0.4 (40 as a decimal) = 1,000,000

Answer:

C

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Hope this helps

Answer:

6000

Step-by-step explanation:

You want to make the 5 a 6 and zero's for the rest. You make the five a six because if the number is 5 or higher you bump it up one number, if it is 4 or lower you don't need to bump it up or down. I hope this helps!

Place values is the value of a digit in relation to its position

5658 approximated to the highest place value is 6000

The number is given as:

[tex]\mathbf{Number = 5658}[/tex]

The number is in thousands; so, the highest place value is thousands

This means that the number must be approximated to thousands.

When 5658 is approximated to the nearest thousands, the approximated value is:

[tex]\mathbf{Approximated = 6000}[/tex]

Hence, 5658 approximated to the highest place value is 6000

Read more about place values at:

https://brainly.com/question/16552177

Answer:

The answer is A because A has 9 zeroes behind 3.5

Answer:

...

Step-by-step explanation:

...

Answer:

3

Step-by-step explanation:

This is because its the opposite.

Jasmine would write 3.

Hope this helps!!

Answer:

c

Step-by-step explanation:

Answer: its nit the 3rd one i just took the test

Step-by-step explanation:

Answer:

8 : 5

simple math

9

the square of nine is 81 which is nine times nine

Answer:

544 movies were rated R... ooop

Answer:

544 movies

Step-by-step explanation:

800/100 = 8 -- to get 1% of the total movies

8*68 = 544 -- multiplied by 68 to get 68%

Answer:

Paige mows 1/2 acre per hour

Step-by-step explanation:

1/4=.25

1/2=.5

               .25*2=.50

               .50*2= 1

Answer:

The prize is p100,000.00, and we can define this as the 100%.

Now, we could say:

"Each member receives the same percentage of the price as the total percentage of the project that he/she did"

Then:

Member A did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

We can solve this system for X as:

X = (25%/100%)*p100,000.00 = p25,000.00

Now we can use the samme aproach for the other members:

Member B did 40% of the total project:

Then he gets an amount X.

X = 40%

p100,000.00 = 100%

X = (40%/100%)*p100,000.00 = p40,000.00

Member C did 25% of the total project.

Then he gets an amount X.

X = 25%

p100,000.00 = 100%

X = (25%/100%)*p100,000.00 = p25,000.00

Member D did 10% of the total project.

Then he gets an amount X.

X = 10%

p100,000.00 = 100%

X = (10%/100%)*p100,000.00 = p10,000.00

Now, we also could divide the price evenly between the four members:

p100,000.00/4 = p25,000.00

So they all get the same amount, but i think that the actual solution to this problem is the other one.

Answer:

itz 5

Step-by-step explanation:

i took quiz

Answer: 96 books

If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.

There are 12 shelves. So, multiply 48 by 2.

48 x 2 = 96.

Answer to the question = 96