Consider the reduction of the rectangle. A larger rectangle has a length of 18 inches and width of 8 inches. A smaller rectangle has a length of x inches and width of 3 inches. Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the proportion? What is the value of the missing measure?

Answers

Answer 1

Answer:

18/8 = x/3

x = 6.75 inches (length)

Step-by-step explanation:

Hi, to answer this question we have to write 2 ratios using the information given:

A larger rectangle has a length of 18 inches and width of 8 inches.

Inches /width = 18/8

So, for a rectangle that has a length of x inches and width of 3 inches the ratio is :

x/3

Solving for x:

18/8 = x/3

18/8 (3) =x

6.75 in= x

Feel free to ask for more if needed or if you did not understand something.


Related Questions

The figure shows the dimensions of a wall having a door and window of a room. Write an algebraic expression for the area of the wall to be painted. PLEASE FAST

Answers

Answer:

Area of the wall to be painted = (11x² + 12x) square units

Step-by-step explanation:

The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.

From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).

Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression

(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]

Area of a rectangular figure = Length × Breadth

Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units

Area of window space = (2x) × (x) = (2x²) square units

Area of door space = (x) × (3x) = (3x²) square units

Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)

= 16x² + 12x - 5x²

= (11x² + 12x) square units

Hope this Helps!!!

write 1 and 1/3 as an improper fraction

Answers

Answer:

4/3

Step-by-step explanation:

to change a mixed number to an improper fraction, you have to multiply the denominator by the whole number and add the numerator to the product. This is your numerator. The denominator stays the same.

Thus,

Numerator = 3 x 1 +1 = 4

Denominator = 3

Fraction = 4/3

Hope this helps.

The improper fraction of 1(1/3) is 4/3.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

1 and 1/3

An improper fraction means the numerator is greater than the denominator.

So,

1 and 1/3

= 1(1/3)

= (3 x 1 + 1) / 3

= 4/3

4 > 3 so it is an improper fraction.

Thus,

The improper fraction of 1(1/3) is 4/3.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ5

Find the Volume of the composite space figure to the nearest whole number.

Answers

Answer:

90

Step-by-step explanation:

We need to split this into two shapes are solve one first. In this example I will solve the rectangle on the left first.

V=LWH

V=2(6)(4)

V=48

2nd rectangle

V=LWH

V=1.5(4)(7)

V=42

Add those together

V=48+42

V=90

Answer:

43.2

Step-by-step explanation:

Sam is baking cakes at her parents' bakery. She gets paid $20 a week in addition to $5 for every cake she bakes. She made $50 this week. Write an equation to show how many cakes Sam baked this week. 20 − 5x = 50 50 + 5x = 20 20 + 5x = 50 50 − 5x = −20

Answers

Answer:

20 + 5x = 50

Step-by-step explanation:

Let the number of cakes Sam baked this week be x

Total amount he received this week = $50

Amount he receives each week = $20

Amount he receives for baking one cake = $5

Amount he would receive for baking x cakes = $5x

Equation: 5x + 20 = 50

Answer:

20 + 5x = 50

Step-by-step explanation:

Let x be the number of cakes

Amount paid per cake = $5

Amount paid for "x" cakes = 5*x = 5x

Basic payment per week = $20

Amount paid that week = 20 + 5x

20 + 5x = 50

What is the rate of change for the function in the table?

Answers

Answer:

$2 per song

Step-by-step explanation:

When you buy 2 songs, you pay $4.

$4 ÷ 2 = $2

Answer:

$2 per song

Step-by-step explanation:

rate of change for the function=cost/no. of song

=y/x

=2

Can someone please help me with this

Answers

I think its B. 7

Its less than 15 and all the others.

Answer:

it b7

Step-by-step explanation:

A square forms a semi-regular tessellation with which of the following regular polygons?
A. Trapezoid and hexagon
B. Pentagon and hexagon
C.equilateral triangle and hexagon
D. equilateral triangle and trapezoid

Answers

Answer:

a:is the answer good luck men

Answer:

Equilateral Triangle and Hexagon

Step-by-step explanation:

Am Supreme Ruler.

At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?

Answers

Answer:

0.09

Step-by-step explanation:

Total = 35+5+10+5 = 55

P(string&brass) = 5/55

= 1/11 = 0.09090909

What is the scale factor of the dilation?
1/5
2/5
5/2
5/1

Answers

Answer:

C. 5/2

Step-by-step explanation:

A'B'/AB = 5/2

I will give you brainliest!!!!! Use the elimination method to solve the system of equations 3x-y=8 3x+3y=12

Answers

Answer:

x=3

y=1

(3,1)

Step-by-step explanation:

Answer: c. (3, 1)

Step-by-step explanation:

(3x - y = 8) + (3x + 3y = 12) = 6x + 2y = 20

Divide by 2

3x + y = 10

Plug in 3 for x

3(3) + y = 10

9 + y = 10

10 - 9 = 1

y = 1

Mr Lee wants to top up his oil tank,the oil tank can take up to 1200liters .The tank already has 450l of oil. The price of oil is 81.5p per litre. Mr Lee gets a 7.5% discount on the price of the oil. How much discount does Mr Lee get on this perchance. Answer in £

Answers

Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

Use the equation Y = {/27x-54 +5.

Which is an equivalent equation of the form

y=avx-h+k

y=-273x + 2+5

y=-3x+2 +5

y=34x-2 +5

y=273/x-2 +5

Answers

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)

BRAINLIEST!!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!BRAINLIEST!!!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST !!!!!!!

Answers

Answer:

answer D

Step-by-step explanation:

let s estimate the D.

(2x+5) is a common factor so we can write

[tex](2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)[/tex]

and this is the expression of the question

hope this helps

The correct answer would be D

Hope this helps! :)

5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?​

Answers

Answer:

63 cm

Step-by-step explanation:

piece 1: x

piece 2: x - 18

First you would subtract 2x - 18 = 108

Second you would add 108 + 18 = 2x

Third you would divide 126 divided by 2x = 63

So that would mean x = 63

Answer:

63cm

Step-by-step explanation:

2 pieces of rope, and one is shorter by 18cm.

piece 1: x

piece 2: x-18

Add the equations together, combine both pieces

2x-18

2x-18 = 108

108+18 = 2x

126 = 2x

x = 63

Here is the photo if you can see it, but what is the equation and if anyone answers , whats the value of A?

Answers

Answer:

35-17

Step-by-step explanation:

Answer: A + 17 = 35

Step-by-step explanation:

Because both sections are equal to the same amount as 35.  

The rectangle for "a" plus the rectangle for 17 put together equal the same rectangle size as 35.

The surface area of a sphere with a diameter of 12 units is:

Answers

Answer:

Surface area of sphere = 4πr²

r = radius

radius = diameter /2

= 12/2

= 6units

Surface area = 4π×6²

= 144π

= 452.4 square units

Hope this helps.

I NEED HELP PLEASE, THANKS! :)

Answers

Answer: b) increasing for x < -4/3 and x > 4/3

                    decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and the follow the curve from left to right.  When you are going up, it is increasing.  When you are going down, it is decreasing.

see the image below.  Red is increasing. Blue is decreasing.

The vertices occur when x = -4/3 and x = 4/3

PLS ANSWER FOR BRANINETEST

Answers

Answer:

3(3/7)

Step-by-step explanation:

Just by doing the math.

Find the of this circle in terms of pi

Answers

Answer: π / 4

Step-by-step explanation:

Area of a circle = π x r^2

= π x 0.5^2

= π / 4

Answer:

A = 0.25 π m²

Step-by-step explanation:

Area = [tex]\pi r^2[/tex]

Where r = 0.5 m

A = (0.5)^2 × π

A = 0.25 π m²

WILL GIVE BRAINLIEST AND 20 POINTS IF ANSWERED FULLY AND CORRECTLY. Two bikers meet at a park. Biker A needs to stop at the store that is 12 miles east of the park. Biker B heads southeast at a 61° angle at the same time for 24 miles. Once biker A leaves the store he heads southwest at an angle of 89° for 21 miles. Do NOT use the law of cosines, use your knowledge from the content of this course(geometry). a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given. b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other? c. What is the measure of the angle between the bikers? d. What is the relationship between the measure of the angles and the paths the bikers took? e. Classify the triangle the paths created. f. How many miles did they travel together?

Answers

Answer:

See below

Step-by-step explanation:

See attached for reference

The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg

a) Biker A travels a straight line (hypotenuse of triangle)

It is likely the bikers meet at the bottom point of the triangle

They make almost same displacement from the start point:

24 miles ≈ √12²+21² miles

b) they meet each other

c) 30 deg

d) e) as per picture attached, it is almost right triangle

f) Together they traveled 12+21+24= 57 miles

Does the table represent a function? why or why not? HELP WANTEDD

Answers

Answer:

C no, because one x value corresponds to two different y values

Step-by-step explanation:

The x value of 3 goes to two different y values

This means this cannot be a function

This is not a one to one correspondence

Answer: C

Step-by-step explanation: In order for a table to represent a function each x-value needs to correspond to exactly 1 y-value.

Notice that in the table, the 3 appears twice and it corresponds to a 5 in one case and it corresponds to a 6 in another case.

Since the x-value of 3 corresponds to more than 1 y-value,

no, this table does not represent a function.

Problem 10.084 An article in Knee Surgery, Sports Traumatology, Arthroscopy (2005, Vol. 13, pp. 273-279), considered arthroscopic meniscal repair with an absorbable screw. Results showed that for tears greater than 25 millimeters, 14 of 17 repairs were successful while for shorter tears, 22 of 31 repairs were successful. (a) Is there evidence that the success rate is greater for longer tears? Use alpha equals 0.05 . What is the Upper P -value?

Answers

Answer:

The p-value = 0.181186

The p-value is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Step-by-step explanation:

This is a two-sample hypothesis test as we want to test the whether the success rate for one group of tears is more than the other

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this question where we are testing if the success rate of longer tears is greater than the success rate of shorter tears,

The null hypothesis is that there is no significant difference in the success rate for the two types of tears. That is, there isn't enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

The alternative hypothesis is that there is enough evidence to suggest that the success rate of longer tears is greater than the success rate of shorter tears.

Mathematically, if the success rate of longer tears is p₁, success rate of repair of shorter tears is p₂. And the difference between the two success rates is μ = p₁ - p₂,

The null hypothesis is represented as

H₀: μ = 0 or p₁ = p₂

The alternative hypothesis is represented as

Hₐ: μ > 0 or p₁ > p₂

We then calculate the test statistic

The test statistic for two samples test is given as

t = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = success rate of repair of longer tears = (14/17) = 0.8235

n₁ = 17

p₂ = success rate of repair of shorter tears = (22/31) = 0.7097

n₂ = 31

σ =

√{[0.8235(1-0.8235)/17] + [0.7097(1-0.7097)/31]}

σ = √[(0.8235×0.1765/17) + (0.7097×0.2903/31)]

= √(0.0085498676 + 0.0066459971)

= √0.0151958647 = 0.1232715081 = 0.1233

t = (p₁ - p₂)/σ

t = (0.8235 - 0.7097)/0.1233

t = 0.92

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 17 + 31 - 2 = 46

Significance level = 0.05

The hypothesis test uses a one-tailed condition because we're testing only in one direction.

p-value (for t = 0.92, at 0.05 significance level, df = 46, with a one tailed condition) = 0.181186

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.181186

0.181186 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that the success rate of repair of longer tears is greater than the success rate of repair of shorter tears.

Hope this Helps!!!

Johnny rode his bike StartFraction 4 over 7 EndFraction of a mile from his house to the lake on a straight path. Then, he turned around and rode his bike 3 and StartFraction 1 over 8 EndFraction miles in the opposite direction. About how far is Johnny from his house? 1 and one-half miles 2 miles 2 and one-half miles 3 miles

Answers

The answer is A!! I took the test

Answer:

1 1/2 miles

Step-by-step explanation:

(aka option A on edge)

Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?​

Answers

Answer:

The third graph is your answer.

Step-by-step explanation:

I included a graph below with the correct graphing.

Please solve it the answer is (a+b-2) (a-b+2) should be take out question a^2-b^2+4b-4

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(a + b - 2)(a - b + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a - b + 2) + b(a - b + 2) - 2(a - b + 2) ← distribute the parenthesis

= a² - ab + 2a + ab - b² + 2b - 2a + 2b - 4 ← collect like terms

= a² - b² +4b - 4

Answer:

this may help uh to get answer..


The sequence -11, -5, 1...... is an arithmetic
progression. State the three consecutive terms of
this arithmetic progression where the sum of
these three terms is 93.

Answers

Answer:

25, 31, 37

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

-11 -5 1 7 13 19 25 31 37 43

6 6 6 6 6 6 6 6 6

25 + 31 + 37 = 93

please answer
topic: perimeter and area volume
(image will be inserted)

it's question 3 in the image

question is: how much do the sides measure?

Answers

Answer:

I think the

Step-by-step explanation:

answer is C . let me know

The measurement of the supplement of an angle is 39 more than half the angle. find the measure of the angle and its complement​

Answers

Answer: 94, 86

Step-by-step explanation:

x + x/2 + 39 = 180

x + x/2 = 180 - 39

x = 94

Other angle is 180 - 94 = 86

En comsumo combustible de u camion durante un dia de viaje es el 21,77 litros ,el consumo del siguiente dia es de 15,22 litros¡cuanto combustible consumio el camion en total

Answers

Answer:

36.99 litros de combustible.

Step-by-step explanation:

En este problema debemos calcular el combustible total de consumió el camión, para eso debemos sumar el valor que consumió el día 1 más el valor que consumió el día 2, de la siguiente manera:

Consumo total = Consumo día 1 + Consumo día 2

Consumo total = 21.77 + 15.22

Consumo total = 36.99

Es decir que el consumo total del camión es de 36.99 litros de combustible.

Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0

Answers

Answer:

x = 2/3 ± i√14/3

Step-by-step explanation:

Other Questions
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!! Which represents the size of a population?the birth ratenumber of species in an areathe death ratenumber of indivduals in a speciesPls hurry The charter of the United Nation states that its primary purpose is to promote A water balloon is tossed vertically from a window at an initial height (s-sub zero) of 37 feet and with an initial velocity(v-subzero) of 41 feet per second. Answer the following using the fact that h(t)=-16T^2+v-sub zer0t+s sub zero. a) Determine a formula, h)t), for the function that models the height of the water balloon at time t . b)Plot the function in Desmos in an appropriate window. Use the graph to estimate the time the water balloon lands c)Use algebra to find the exact time the water balloon lands. Show your work. No decimals in your answer. d)Determine the exact time the water balloon reaches its highest point and its height at that time. e)4 pts] Compute the average rate of change of on the intervals . Include units on your answers and write a sentence to explain the meaning of the values you found. Arc{1.5,2}____________________________. Explanation: Arc{2,2.5}____________________________. Explanation: rc{2.5,3}____________________________. Explanation: In what ways could prisoners of war earn a profit? What would motivate a prisoner to want profit?In what ways could prisoners of war earn a profit? What would motivate a prisoner to want profit? There are 8 times as many males as females on the maths course at university. What fraction of the course are female? Give your answer in its simplest form. Please answer this Question ASAP Merck & Company reported the following from its 2016 financial statements. $ millions 2013 2014 2015 2016 Accounts receivable, net $7,184 $6,626 $6,484 $7,018 Allowance for doubtful accounts 146 153 165 195 a. Compute accounts receivable gross for each year. $ millions 2013 2014 2015 2016 Accounts receivable, gross b. Determine the percentage of allowance to gross account receivables for each year. Round answers to two decimal places (ex: 0.02345 = 2.35%). 2013 2014 2015 2016 % allowance c. Assume that we want to reformulate the balance sheet and income statement to reflect a constant percentage of allowance to gross accounts receivables for each year. Compute the four-year average and then reformulate the balance sheet and income statements for each of the four years. Follow the process shown in Analyst Adjustments 5.2 and assume a tax rate of 35%. Four- year average of percentage of allowance to gross accounts receivables. Round answer to two decimal places (ex: 0.02345 = 2.35%) Which vector goes from (-1,-2) to (3, 4)?A. dB. cC. bD. a the features of the reign of terror in simple words Assume that China has a comparative advantage in producing corn and exports corn to Japan. We can conclude that ________. Suppose Ginger deposits $5,000 in cash into her checking account at the Bank of Skidoo. Show this transaction in a T-account for the Bank of Skidoo.Bank of SkidooAssets Liabilities Reserves$ Deposits $The Bank of Skidoo has no excess reserves and is subject to a 6 percent required reserve ratio. Assume the Bank of Skidoo makes the maximum loan possible from Ginger's deposit to Thurston. Show this transaction in a new T-account for the Bank of Skidoo.Bank of SkidooAssets Liabilities Reserves$ Deposits $Thurston decides to use the money he borrowed to purchase a sail boat. He writes a check for the entire loan amount to Gilligan's Seagoing Vessels, which deposits the check in its bank, the Paradise Bank of Kona, Hawaii. When the check clears, the Bank of Skidoo transfers the funds to the Paradise Bank. Show these transactions in a new T-account for the Bank of Skidoo.The maximum amounts of deposits that can be created from Ginger's initial deposit is $_____The maximum amounts of loans that can be created from Ginger's initial deposit is $_____ The energy from 0.015 moles of octane was used to heat 250 grams of water. The temperature of the water rose from 293.0 K to 371.2 K. What is the enthalpy of combustion of octane? The specific heat capacity of water is 4.18 J/K g.A. -1226 kJ/molB. -5448 kJ/molC. 293.25 kJ/molD. 1226 kJ/mol Find the value of x. I NEED HELP PLEASE THANKS :) Explain how the diffraction of light shows that light behaves like a wave. What process beaks the strong bond between atoms in the nitrogen molecule? Please answer this correctly please very soon I offer the crown !!! + 10 points urgently !!! What do you think President Kennedy was referring to in his inaugural address to the nation when he said, Let every nation know whether it wishes us well or ill, that we shall pay any price, bear any burden, meet any hardship, support any friend, oppose any foes to assure the survival and the success of liberty." WILL MARK BRAINLIEST! Solve number 6.