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.

Answers

Answer 1

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

[tex]Scale = Length : Width[/tex]

For the painting,

[tex]Scale = 20: 16[/tex]

For the frame,

[tex]Scale = 15: w[/tex]

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

[tex]15 : w = 20 : 16[/tex]

Express as fraction

[tex]\frac{w}{15} = \frac{16}{20}[/tex]

[tex]\frac{w}{15} = 0.8[/tex]

Make w the subject

[tex]w = 15 * 0.8[/tex]

[tex]w = 12[/tex]

The width of the frame must be 12 inches i.e. 15in by 12in frame

Micayla Wants The Print Shop To Reduce The Size Of Her Painting But Keep The Ratio Of Length To Width

Related Questions

A gardener digs a flower bed that is 8 meters long and a meter wide. what is the area of the flower bed

Answers

8 meters

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

Out of her 5 gigabyte data plan, Debbie has used 37%. How much data does she have left?

Answers

Answer:

3.15GB

Step-by-step explanation:

1000MB = 1GB

1000MB*5 = 5000MB

5000/100*37% = 1850MB USED

SO, 5000-1850 = 3150MB = 3.15GB

Two of the angles in a triangle measure 100° and 53°. What is the measure of the third angle?

Answers

Answer:

27*

Step-by-step explanation:

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

Find the volume of the irregular
figure.
1 cm
2 cm
3 cm
?
cm3
2 cm
1 cm
7 cm

Answers

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 !!

Heather buys 12 patio chairs for $366. Each chair costs the same amount.

Part A
Which equation represents the best estimate for the cost of each chair?
Part B
What is the exact cost of each chair
Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable

Answers

Part A+B: $360 ÷ 12 = $30
Her calculation is not reasonable, you will need to do 63/12 which is $5.25
5.25x12=63

4
A student created the function P(t) = 5(1 +4/100)^t to model the population of a town in thousands, t years after 1980. If the student misread the
population in the year 1980 and the correct population in that year was 6,000, what changes should he make in the function?
Change 5 to 6,000
Change 4 to 6,000
Change 5 to 6
O Change 4 to 6
Ο Ο

Answers

Answer:

change 5 to 6

Step-by-step explanation:

pls help due tonight

Answers

The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.

Joey and his band have just recorded 14 new songs. The band decides that they want the new songs to form an album. How many ways can the 14 new songs be arranged on the album?

Answers

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

select all of the words that represent the answer to a quadratic equation (there are 4 answers).

-x intercepts

-y intercepts

-solutions

-intersections

-roots

-zeros

Answers

Answer:

see explanation

Step-by-step explanation:

The words used to represent answers to a quadratic equation are

• x- intercepts

• solutions

• roots

• zeros

18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.

Answers

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 )

PLS HELP ME I WILL GIVE BRAIN THINGY

Answers

5 is the correct answer:))

Subtract 2x2 + 6x – 5 from 7x2 + 3x + 4.

Answers

here’s ur answer:)))

helpppppp plzzzzzzzzzzzzz​

Answers

Step-by-step explanation:

gradient=∆y/∆x

y=-2,4

x=0,2

y=-2-4

x=0-2

-6÷-2

Ans:3

What is 2 to the power of 4 written in expanded form

Answers

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

can someone please help me​

Answers

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)

can someone please help

find the slope/rate of change on graph​

Answers

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

Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve
for x?
3x+5x4
3x+4-5x
3x +4+5x
3x-4-5x

Answers

Answer:

=5x⁴+3x

=-2x+4

=8x+4

=-2x-4

Step-by-step explanation:

hope it's help

Two angles are supplementary. The larger angle is 6 degrees less than twice the smaller angle. What is the degree measure of the larger angle?​

Answers

Let x = the smaller angle
then 2x + 6 = the larger angle
Since they are comlementary, then their sum is 90°
smaller angle + larger angle = 90°
(x) + (2x+6) = 90
3x + 6 = 90
3x = 84
x = 28 (this is the smaller angle)
the larger angle is 2x + 6 = 2(28) + 6 = 56 + 6 = 62

A cars gas mileage refers to its rate in miles traveled per gallon of gas. Kara's family is thinking about renting a camper that can travel 3 1/2 miles on 1/3 gallon of gas. Kara wants to know the gas mileage of the camper.

Answers

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

Please help, due in 45 minutes.

What is the value of the y-coordinate of the solution to the system of equations 2x + y = 8 and x - 3y = -3?

A: -2
B: 2
C: 3
D: -3

Answers

Answer:

B: 2

Step-by-step explanation:

2x+y=8

x-3y=-3

x=3 and y=2

so answer is B: 2

Hello I have done the question and the answer is 2 so B

Find the answer for this question

Answers

The answer is letter C

What do I do.
500.34 + 4333

Answers

U add it up the answer will be 4833.34 but plz post a pic

Answer:

add them

Step-by-step explanation:

500.34 + 4333 =4833.34

Arrange the expressions in increasing order of their values.




< <

Answers

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

The diagonal of a rectangular tabletop measures 52 inches. If the width is 20 inches, what is the length of the tabletop rounded to the nearest hundredth inch?

Answers

See attachment for reply.

1/4e = 12


help plssss

Answers

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!!!

(1)/(4p)(x-h)^(2)+k=0
Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0.​

Answers

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.

En un hotel hay 4 pisos y en cada piso hay 4 habitaciones. Si en cada habitación hay 4 personas y cada persona hace 4 llamadas telefónicas, ¿Cuántas llamadas se hacen en total?

Answers

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

Question 25 of 25
Use the table to identify values of p and g that can be used to factor
x2 - - 4x - 12 as (x + p)(x + 9).
g
-6
р
2.
-2.
3
-3
6
p+q.
-4
4.
-1
1
-4
4
O
A. -2 and 6
B. -3 and 4
C. 2 and -6
D. 3 and -4

Answers

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

Correct option is (C).

What is an algebraic expression?

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

A 5ft tall girl is standing 13ft from a 15ft tall lamppost. How long is her shadow?

Answers

that could possibly be 6-7ft

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).

Answers

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:

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