Radical Ratios - Sharingbemultiply by the quantity to be shared. Sounds complicated? It's not - try it!Divide the following quantities in the ratio given:a) Share $80 in the ratio 4:5Answer:Answer:b) Share 30 pencils in the ratio 2:4Answer:Answer:c) Divide $120 between Joy, Mary and SueJoy:Mary:in the ratio 4:3:5Sue:d) Divide 50 slices of cake between Grade 4 and 5in the ratio of 3:7Grade 4:Grade 5:e) A can of Fruity Tooty paint from Kelly's containsa mixture of red, blue and yeliow in the ratio 2:4:6.If a can of paint weighs 540g, how much red, blueand yellow paint went into the mixture?red:blue:yellow:f) Divide $306 between Stan, Fran and Danin the ratio 3:7:8Stan:Fran:Dan:g) Dividé 148 Christmas gifts between The Hostel andthe Ranfurly Home in the ratio of 16:21. How manygifts would each home get?Hostel:Ranfurly:h) Divide 65 brownies between Ed, Fred and NedEd:in the ratio 2 :5:1Fred:Ned:Shane and Marissa decide to share the cost of a stereosystem that costs $289 from Solomon's. If they splitShane:the cost in the ratio 8:9 how much would eachMarissa:have to pay? Multiplying Algebraic Terms113When multiplying algebraic terms that are allke, indices are added. Whole numbers are multiplied separately from the letters.1. Simplify the following. Make sure write indices where necessary.a) 2 x a² =b) 4d x d =c) 6q x a² =d) exe? =e) 3bx 4c =f). 5w x 4w2:g) 3 x 2a =h) hx 4h =i) 72 x 4z =2. Simplify the following. Make sure write indices where necessary.a) axa =b) 3a x 5a =c) 4p x p? =d) y xy =e) 2v x v =f) 7a? x 2a =g) 3ab x 2ab²% =h) de? x 3de =i) 5m'n x m =3. Simplify' the following. Make sure write indices where necessary.a) 4 x e? =b) 5u x u =c) 2h x hº%3Dd) 3g x g? =e) 6ax 7b =f) 5s x 6s2%3Dg) 5x 7a' =h) 4 x 4g³ =i) 4b x 4b%3D4. Simplify the following. Make sure write indices where necessary.a) 5a' x 4a =b) 2j x 7j° =c) 3q° x q' =%3D4y x6y =e) 4v x 8v =f) 6a° x 2a° =%3D%3D20'bx 7a'b =h) 4de? x 3d'e?%3Di) 6 m “n x 2m2%3D%3D

Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Answered: a) Share $80 in the ratio 4:5 b) Share…

a) Share $80 in the ratio 4:5 b) Share 30 pencils in the ratio 2:4 c) Divide $120 between Joy, Mary and Sue in the ratio 4:3:5

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: The ratio of cats to dogs at a kennel is 4:5 if there are 27 cats/dogs in the kennel how many of…

A: Given that The ratio of cats to dogs at a kennel is 4:5 Number of cats and dogs=27 Find number of…

Q: To create the display shown below, the artist used cubes and rectangular prisms of varying sizes.…

Q: the ratio os hotdogs to hamburgers is 8:3. if 272 hotdogs were sold then how many hamburgers were…

A: Given that the ratio of hotdogs to hamburgers is 8:3.So, hotdogs : hamburgers = 8:3or,…

Q: A fountain on a college campus has an L shape that could be thought of as four squares, each square…

A: Given that , Side of each square = 12 feet height of fountain = 3 feet

Q: Jean and Leon have some peaches. If Leon ate 55 peaches, their peaches would be in the ratio 7: 6.…

Q: Marcus is building a scale model of a skyscraper using the ratio 2:225. If the width of the…

Q: The ratio of workers on task to workers on their phones was 5 to 3. The work force is made up of 88…

A: Lets say there are 'x' workers on total It is given that the ratio of workers on task to workers on…

Q: A house builder would like to make a window that has a golden ratio between the height at the length…

A: Golden ratio=height/length=1.618

Q: The profits of a firm are shared by its two partners in the ratio 7:5. If the partner receiving the…

Q: At a given time of day, the ratio of the height of an object to the length of its shadow is the…

A: Let h ft be height of tree Given that at a given time of day, the ratio of the height of an…

Q: The ratio of 3 nickels to 2 dollars is?

A: 1 dollar=20 nickels So 2 dollar=40 nickels ratio of 3 nickels to 2 dollars is=?

Q: A 75-meter long rope is to be cut into 3 pieces in the ratio 4:5:6. How long is the longest piece?

A: Ratio of the number a:b:c Then we consider the number are ax,bx and cx

Q: The ratio of the lengths of two segments is 4:3 when they are measuredin centimeters. What is their…

A: The ratio of the lengths of two segments is 4:3 when they are measuredin centimeters.

Q: A recipe for a grilled chicken sandwich uses the ratio 4:3 for the ounces of pickles to the ounces…

Q: 1. A crew of highway workers paved 2/15 mile in 20 minutes. If they work at the same rate, what…

A: Work paved problem

Q: At the Da Vinci Institute, the ratio of girls to boys is 6 to 4. If 420 boys attend the school, how…

A: At the vince Institute Girls : boys = 6:4 Let number of girls be 6x and number of boys be 4x

Q: A woman has several rectangular flower beds that she wants to be of equal area. If L ft is the…

A: The area, A of a rectangle is calculated using the formula, A=l·w , where, l is the length and w is…

Q: A farmer has 264 ft. of fencing to enclose a triangular field. If the farmer wants the sides of the…

Q: A garden is 6 yards 24 inches wide and 2 yards long write the ratio of the width to the length as a…

Q: The salaries of a school cook, custodian, and bus driver are in the ratio 2:4:3. If their combined…

A: Given: The salaries of a school cook, custodian and bus driver are in the ratio 2:4:3. Their…

Q: The ratio of blue m&ms to red m&ms in a certain bag is 8:5. If there are 117 red and blue m&ms total…

A: Given: The ratio of blue m&ms to red m&ms is 8:5 and total 117 red and blue m&ms are…

Q: Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.

A: Given ratio: 630kilometers in 5hours

Q: The ratio between a model tractor and an actual tractor is 1 ft : 5 ft. The ratio of the areas is If…

Q: A triangle is equilateral if it has three equal sides. The triangle in the figure is equilateral…

A: We draw an equilateral triangle with side length = 2xDraw an perpendicular line from the top vertex…

Q: In a class, the ratio of the number of girls to boys is 5:4. If only 15 girls had enrolled in the…

A: Let total number of girl and boy be G and B. GB=54 .. . .... . ......(i) And, if only 15…

Q: The difference between two numbers is 40. They are in the ratio 9:7. Find each number.

A: The difference between two numbers is 40. They are in the ratio 9:7. To find each number.

Q: The sides of two rectangular posters are in the ratio 5:4. If the bigger poster has an area of 50…

Question

Radical Ratios - Sharing
be
multiply by the quantity to be shared. Sounds complicated? It's not - try it!
Divide the following quantities in the ratio given:
a) Share $80 in the ratio 4:5
Answer:
Answer:
b) Share 30 pencils in the ratio 2:4
Answer:
Answer:
c) Divide $120 between Joy, Mary and Sue
Joy:
Mary:
in the ratio 4:3:5
Sue:
d) Divide 50 slices of cake between Grade 4 and 5
in the ratio of 3:7
Grade 4:
Grade 5:
e) A can of Fruity Tooty paint from Kelly's contains
a mixture of red, blue and yeliow in the ratio 2:4:6.
If a can of paint weighs 540g, how much red, blue
and yellow paint went into the mixture?
red:
blue:
yellow:
f) Divide $306 between Stan, Fran and Dan
in the ratio 3:7:8
Stan:
Fran:
Dan:
g) Dividé 148 Christmas gifts between The Hostel and
the Ranfurly Home in the ratio of 16:21. How many
gifts would each home get?
Hostel:
Ranfurly:
h) Divide 65 brownies between Ed, Fred and Ned
Ed:
in the ratio 2 :5:1
Fred:
Ned:
Shane and Marissa decide to share the cost of a stereo
system that costs $289 from Solomon's. If they split
Shane:
the cost in the ratio 8:9 how much would each
Marissa:
have to pay?

Multiplying Algebraic Terms
113
When multiplying algebraic terms that are allke, indices are added. Whole numbers are multiplied separately from the letters.
1. Simplify the following. Make sure write indices where necessary.
a) 2 x a² =
b) 4d x d =
c) 6q x a² =
d) exe? =
e) 3bx 4c =
f). 5w x 4w2:
g) 3 x 2a =
h) hx 4h =
i) 72 x 4z =
2. Simplify the following. Make sure write indices where necessary.
a) axa =
b) 3a x 5a =
c) 4p x p? =
d) y xy =
e) 2v x v =
f) 7a? x 2a =
g) 3ab x 2ab²% =
h) de? x 3de =
i) 5m'n x m =
3. Simplify' the following. Make sure write indices where necessary.
a) 4 x e? =
b) 5u x u =
c) 2h x hº
%3D
d) 3g x g? =
e) 6ax 7b =
f) 5s x 6s2
%3D
g) 5x 7a' =
h) 4 x 4g³ =
i) 4b x 4b
%3D
4. Simplify the following. Make sure write indices where necessary.
a) 5a' x 4a =
b) 2j x 7j° =
c) 3q° x q' =
%3D
4y x6y =
e) 4v x 8v =
f) 6a° x 2a° =
%3D
%3D
20'bx 7a'b =
h) 4de? x 3d'e?%3D
i) 6 m “n x 2m2%3D
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

6) An ice cream factory makes 350 quarts of ice cream 7) Jayden and Isabella share a reward of $40 in a ratio of in 5 hours. How many quarts could be made in 48 2 to 3. How much of the reward does Jayden get? hours and 20 minutes?
At the kennel the ratio of cats to dogs is 4 : 5. There are 27 animals in all. How many DOGS are at the kennel
The ratio of oblong tables to round tables at a conference is 7:1. The total number of tables at the conference is 56. How many of each type are there? There are oblong tables and (Type whole numbers.) round tables.
A multi-colored candy is sold in a ratio of 7:3:2 of blue red, and brown candies, respectively. How many pounds of red candies will be found in a 4-pound bag of this multi-colored candy?
HC1Q3. If OMR 1000 is divided among Aziza, Sabena, and Sadia in the ratio 2:3:5, find the share of Sadia:
Every musician in the band plays either the fife or the drum (but not both). The ratio of fifers to drummers is 7 : 1. If 2 drummers join the group and 6 fifers quit, the ratio of fifers to drummers would be 3 : 1. How many musicians were in the original ensemble?
Two small window air conditioner units are purchased and put into opposite sides of a house. One airconditioner is 1,000 Btu and the other is 2,500 Btu. What is the ratio of the 1,000 Btu to the 2,500 Btu airconditioner?
In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?
The ratio of width to height of a golden rectangle is given by the golden ratio, which is StartFraction 1 plus StartRoot 5 EndRoot Over 2 EndFraction. If a painting is 16 inches high, how wide would it be?