Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her frame. Study the scale drawings to determine the proportional relationship between her painting and the frame she wants to use.

Answer: 10 ¹/₂ miles per gallon

Step-by-step explanation:

The gas mileage of the camper refers to the distance (in miles for this question) that the camper can travel on 1 gallon of gas.

The camper can travel 3¹/₂ miles on ¹/₃ gallons so the mileage is:

= Distance traveled/ Gallons used

= 3¹/₂ ÷ ¹/₃

= 7/2 * 3/1

= 21 / 2

= 10 ¹/₂ miles per gallon

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Complete question :

A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).

1235

952

457

1486

1759

1148

548

1037

1864

1245

976

866

1431

Estimate the median time it will take all players to finish this game.

Find the interquartile range for this sample.

Answer:

1148 ; 549.5

Step-by-step explanation:

The ordered data:

457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864

The median value :

1/2 * (n +1)th term

n = 13

1/2 * 14 = 7th term

Median = 1148

The interquartile range :

Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4 * 14th term

Q3 = 10.5 th term

Q3 = (10 + 11)th term

Q3 = (1431 +1486) / 2= 1458.5

Q1 = 1/4(n+1)th term

Q1 = 1/4 * 14th term

Q1 = 3.5 th term

Q1 = (3 + 4)th term

Q1 = (866+ 952) / 2= 909

IQR = 1458.5 - 909 = 549.5

Answer:

Median:1054 mins

IQR:751.5

Step-by-step explanation:

Answer:

add them

Step-by-step explanation:

500.34 + 4333 =4833.34

Answer:

Step-by-step explanation:

Given p>0, multiply the equation by 4p:  (1/4p)*(x-h)^(2)+k=0

(x-h)^2+4kp = 0

k>0

4kp>0

(x-h)^2 = -4kp

So x has imaginary roots only. There is no real zeros of the polynomial.

k=0

4kp=0

(x-h)^2 = 0

x=h

So x has one real root and the polynomial has one zero

k<0

4kp<0

(x-h)^2 = -4kp

So x has two real roots and the polynomial has two real zeros.

Answer:

Step-by-step explanation:

Assume that  and multiply the equation  by 4p. Then you obtain the equation (x-h)^2+4pk=0.

1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.

2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.

2) If k<0, then 4pk<0 and the equation  has two different solutions and there are two zeros.

Answer:

=5x⁴+3x

=-2x+4

=8x+4

=-2x-4

Step-by-step explanation:

hope it's help

The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.

Correct option is (C).

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

x² - 4x - 12.

To determine the factor, solve the expression,

x² - 6x + 2x - 12

x(x - 6) + 2(x - 6)

Take (x - 6) common,

(x - 6)(x + 2)

According to the given condition, the factors are (x + p)(x + 1)

Compare the values,

p = -6 and q = 2

The values of p and q are -6 and 2.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ1

Answer:

87,178,291,200 ways

Step-by-step explanation:

Number of songs = 14

To Form an album with the 14 songs, the number of ways at which the 14 songs can be arranged is obtained by calculating the factorial of the number of songs ;

Number of ways in which the 14 songs can be arranged :

14! = (14 * 13 * 12 * 11* 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 87178291200 ways

Answer:

(4)2

4×4=16 or

(2)4

2×2×2×2=16

both are correct ☺️

Step-by-step explanation:

hope it helps you have a good day

Answer:

1/3

Step-by-step explanation:

rate of change is y/x

so take the first y (5) and the first x (15)

and divide them

5/15= 0.333333333...

0.33... is 1/3

8 meters

To calculate area you multiply length x width. So, 8 x 1 = 8

See attachment for reply.

Answer:

see explanation

Step-by-step explanation:

The words used to represent answers to a quadratic equation are

• x- intercepts

• solutions

• roots

• zeros

Answer:

3.15GB

Step-by-step explanation:

1000MB = 1GB

1000MB*5 = 5000MB

5000/100*37% = 1850MB USED

SO, 5000-1850 = 3150MB = 3.15GB

Answer:

252 cm cubed

Step-by-step explanation:

29 cm 3

you multiply 1,2,3 and you get 6 !! and then you do 7,1,2, and you get 14 then you take 6 plus 14 = 20 !!

Answer:

10⁰×10¹-1¹⁰ < 10⁰×10¹×1¹⁰ < 10⁰+10¹×1¹⁰ < 10⁰+10¹+1¹⁰

Step-by-step explanation:

10⁰×10¹-1¹⁰ = 9

10⁰×10¹×1¹⁰ = 10

10⁰+10¹×1¹⁰ = 11

10⁰+10¹+1¹⁰ = 12

Answer:

27*

Step-by-step explanation:

The angles in a triangle will ALWAYS add up to 180*

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

3 + y = 12 ( subtract 3 from both sides )

y = 9

Then B = (10, 9 )

Answer:

e=48

Step-by-step explanation:

1/4e=12

Multiply both sides by 4;

4*1/4e=12*4

Simplify ;

e=48

Hope this helped!!!

Respuesta:

Se realizaron 256 llamadas telefónicas

Explicación paso a paso:

Número de pisos = 4

Número de habitaciones por piso = 4

Número de personas por habitación = 4

Número de llamadas telefónicas por persona = 4

Número total de llamadas telefónicas realizadas;

Número total de personas alojadas en el hotel:

Número de pisos * número de habitaciones por piso * número de personas por habitación

(4 * 4 * 4) = 64 personas

Número de llamadas telefónicas realizadas:

64 personas * 4 = 256 llamadas telefónicas

Step-by-step explanation:

gradient=∆y/∆x

y=-2,4

x=0,2

y=-2-4

x=0-2

-6÷-2

Ans:3

Answer:

y - 24 = - 7(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 24) and (x₂, y₂ ) = (7, - 53)

m = [tex]\frac{-53-24}{7+4}[/tex] = [tex]\frac{-77}{11}[/tex] = - 7

Using m = - 7 and (a, b) = (- 4, 24 ) , then

y - 24 = - 7(x - (- 4)), that is

y - 24 = - 7(x + 4)

Answer:

change 5 to 6

Step-by-step explanation: