express the vector with initial point (1,-1) and terminal point (4,2) as a linear combination of the standard unit vectors.

a. 3i + 3j

b. 5i + j

c. 3i - 3j

d. -3i + 3j

e. 3i + 4j

f. none of these

Answers

Answer 1

The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

In the question ,

it is given that ,

the initial point of the vector = (1 , -1)

the terminal point of the vector = (4,2)

we know that the vector with initial point (x₁ , y₁) and (x₂ , y₂) is calculated using the formula

V = (x₂ - x₁)i + (y₂ - y₁)j

Substituting the values from the point ,

we get the vector as

V = (4 - 1)i + (2 -(-1))j

V = 3i + (2 + 1)j

V = 3i + 3j

Therefore , The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

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Related Questions

Please help me please

Answers

Answer:

x = 2

Step-by-step explanation:

The image shows a large rectangle with a similar, smaller triangle inside of it. The small leg on the small rectangle is 4, and the small leg on the large rectangle is 12. This tells me that the scale factor is 3.

If the scale factor is 3, then

[tex]6*3=6+6x[/tex]

Simplify

[tex]18=6+6x\\12=6x\\x=2\\[/tex]

This scale drawing shows a parking lot with an actual length of 315 meters. What is the width of the actual parking lot?

Answers

The width of the actual parking lot, given the length of the scale drawing and the actual length, is 235 m

How to find the width?

The scale is given in the question to be 1 cm : 50 m. This means that for every 1 cm on the scale drawing, the actual dimensions are 50m.

Given that the width of the parking lot on a scale drawing is 4. 7 cm, the width of the actual parking lot will be:

= Width of parking lot on scale drawing x Number of meters per centimeter in drawing

= 4. 7 x 50

= 235 m

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The sum of 2 numbers is 27. One half of the first number plus one third of the
second number is 11. Find the numbers.

Answers

Answer:

x = 12, y = 15

Step-by-step explanation:

x + y = 27

1 / 2 x + 1 / 3 y = 11

y = 27 - x

1 / 2 x + (27 - x) / 3 = 11

1 / 2 x + 9 - 1 / 3 x = 11

1 / 6 x = 2

x = 12

12 + y = 27

y = 15

X1. A restaurant owner keeps track of the food
prepared for guests for several days. Based on this
data, what is the constant of proportionality, if any
for this scenario? Show or explain how you know.
Vegetables Guests
Prepared
(Pounds)
Friday 15
Saturday 35
Sunday 25
Day
(number)
12
28
20

Answers

The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given tabel,

Suppose the number of guest food prepared.

Take the first data,

12 ∝ 15

12 = k(15)

k = 12/15 = 0.8

Hence "The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8".

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The given question is incomplete, the complete question follows,

8: fatuma's frower Garden is a Squase. If the enlarge it by increasing the Width by 1 m the length by 3m the area will be 19 square meters morethan the Present area.

A,find the length of the side of original garden B,What is the width of the new garden?
C,what is the length of the new garden?
D,find the area of the new garden?​

Answers

A. The length of the side of original garden is 4 m

B. The width of the new garden is 5m

C. The length of the new garden is 7m

D. The area of the new garden is 35 m²

Let the side of the garden = x m.

area = x² m²

From the question, we have

The new length is (x+3) m and the new width is (x+1) m.

Then the new area = (x+3)(x+1) m².

(x+3)(x+1)=x²+19

⇒ x²+3x+x+3=x²+19

⇒ 4x+3=19

⇒ 4x=19-3

⇒ 4x=16

x = 4 m

The length of the side of original garden is 4 m

new length = (x+3) m = (4+3)m = 7 m

new width = (x+1) = (4+1) = 5 m

new area = (x+3)(x+1) m² = 7*5 = 35 m²

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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triangle with side of 8 and 11 and angle of 38

Answers

The area of the triangle is 43.81 square units

The side a = 8 units

The side b = 11 units

The perimeter of the triangle = 32 units

First we have to find the third side of the triangle

a + b + c = 32

Substitute the values in the equation

8 + 11  + c = 32

19 + c = 32

c = 32 - 19

c = 13 units

Then the area of the triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

The value of s = (a + b + c) / 2

= (8 + 11 + 13) / 2

= 32/2

= 16

Substitute the values in the equation

The area of the triangle = [tex]\sqrt{16(16-8)(16-11)(16-13)}[/tex]

Subtract the terms

= [tex]\sqrt{(16)(8)(5)(3)}[/tex]

= [tex]\sqrt{1920}[/tex]

= 43.81 square units

Hence, the area of the triangle is 43.81 square units

The complete question is:

Find the area of a triangle , two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

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(a) 11³ x 11=11
11³
||³ + x = || 2

Answers

Step-by-step explanation:

I suspect you mean

11³ × 11 = ?

11³ ÷ 11 = ?

11³ × 11 = 11⁴

11³ ÷ 11 = 11²

why ?

11³ = 11×11×11

11³ × 11 = 11×11×11 × 11 = 11×11×11×11 = 11⁴

11³ ÷ 11 = 11×11×11 / 11 = 11×11 × 1 = 11×11 = 11²

A 60 inch board is to be cut into three pieces so that the second piece is four times as long as the first piece and the third piece is five times as long as the first piece if X represents the length of the first piece find length of all three pieces

Answers

The length of the first piece is 6 inches.

The length of the second piece is 24 inches.

The length of the third piece is 30 inches.

What is the length of each piece?

The length of the first piece = x

The length of the second piece = 4 ×x = 4c

The length of the third piece = 5 × x = 5x

Total length of the board = 60

Sum of the length of the three pieces = total length of the board

x + 4x + 5x = 60

10x = 60

x = 60 / 10

x = 6

The length of the second piece = 4 ×6 = 24

The length of the third piece = 5 × 6 = 30

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Find the slope of the line shown of the graph to the right

Answers

The slope will be 1, for the right.

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

m = (4-3)/(4-3)

m = 1

Hence the slope of the line is shown in the graph is 1.

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A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2. 5x+3 represents the cost y of bowling x games. Interpret the parameters of the function.

Answers

The number that represents the shoe rental charge is $3 and the price per game is $2.5.

Given:

The function y=2.5x+3 represents the cost y of bowling x games.

y = 2.5x+3

In the equation the 2.5 represents additional fee.

For 1 game = 2.5*1 = 2.5

For 2 games = 2.5 * 2

= 5

3 is the flat fee for renting the shoes.

Therefore the number that represents the shoe rental charge is $3 and the price per game is $2.5.

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[tex]\frac{2\sqrt{3 }-1 }{3\sqrt{3}+4 }[/tex]

Answers

so like i think this is the answer

A biologist uses a box-shaped fish trap that measures 1/4 meter by 2/3 meter by 3/5 meter. What is the volume of the trap in cubic meters?

Answers

Answer:

1/10 or 0.1 m^3

Step-by-step explanation:

V = 1/4 * 2/3 * 3/5 = 6/60 = 1/10 m^3 = 0.1 m^3

Project: Chef for a DayImagine you are the pastry chef at your favorite restaurant. The manager has just told you that you have a large crowd coming in for lunch tomorrow and you need to prepare. This project includes a recipe for chocolate chip cookies. You are expecting 60 people, but the recipe does not serve that many people, so you will need to adjust the ingredients so there will be enough.

Chocolate Chip Cookies (makes 12 servings)
 1 ¼ cups all-purpose flour
 ½ teaspoon baking soda
 ¼ teaspoon salt
 ¾ cup sugar
 1 egg
 2 tablespoons milk
 1 ¾ cup chocolate chips


Read each question below carefully and provide complete answers.

1. This recipe serves 12 people, but you need to serve 60 people. What number will you need to multiply the amount of each ingredient by to adjust the recipe? How did you determine this number?




2. Show the steps involved in finding out how much flour you will need to make 60 servings of chocolate chip cookies, as if you were teaching someone how to multiply with fractions. Please do not use decimals in your work or in your final answer.






3. Show the steps involved in finding out how much baking soda you will need to make 60 servings of chocolate chip cookies, as if you were teaching someone how to multiply with fractions. Please do not use decimals in your work or in your final answer.







4. Rewrite the rest of the chocolate chip cookie recipe for 60 servings. Be sure to show your work for each ingredient and express each amount as a fraction.

_____teaspoons salt
_____cups sugar
_____eggs
tablespoons milk
_____ cups chocolate chips





5. How many more eggs do you need for 60 servings than you need for 12 servings? How did you obtain this number?






6. If you wanted to make exactly 78 servings of chocolate chip cookies, what number would you need to multiply the original amount of each ingredient by to adjust the recipe? How did you determine this number?





7. Consider you make a mistake with the salt and multiply wrong which adds more salt then needed. Your cupcakes might not taste the greatest. Another mistake might be you incorrectly find the wrong amount to make. You make too little or not enough. What we do after the mistake is the important part. These mistakes are really not a big deal but in some instance in life we make bigger mistakes that weigh heavy on us. God is a loving and forgiving God. Isaiah 41:10 Fear not, for I am with you; be not dismayed, for I am your God; I will strengthen you, I will help you, I will uphold you with my righteous right hand.
Reflect on a time when you made a mistake. It can be a big mistake, a small mistake, or somewhere in between. Please don’t go into specifics but talk about how you handled the situation with God’s help and how you felt after. Please write a paragraph of at least 5 sentences.














NEED HELP FAST ITS A PROJECT!

Answers

The number needed to multiply the amount of each ingredient by to adjust the recipe is 5. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.

The steps involved in finding out how much all-purpose flour needed to make 60 servings of chocolate chip cookies is multiplying Quantity of flour provided by number needed to multiply each ingredients with.

The steps involved in finding out how much baking soda needed to make 60 servings of chocolate chip cookies is multiplying Quantity of baking soda provided by number needed to multiply each ingredients with.

Quantity of other ingredients needed expressed as a fraction:

1 ¼ teaspoons salt

3 ¾ cups sugar

5 eggs

10 tablespoons milk

10 ½ cups chocolate chips

The number of eggs needed for 60 servings than 12 servings is 4 eggs. This is obtained by subtracting eggs needed for 12 servings from eggs needed for 60 servings

The number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servimgs is 6 ½. It's determined by dividing the number of people that needs to be served by the number of people the provided ingredients will serve.

How to adjust given ingredients to the required number of servings

The ingredients provided serves = 12 peopleNumber of people that needs to be served = 60 people

1. Number needed to multiply the amount of each ingredient by to adjust the recipe = Number of people that needs to be served ÷ The ingredients provided serves

= 60/12

= 5

2. Steps involved in finding out how much flour you will need to make 60 servings of chocolate chip cookies.

Quantity of flour provided = 1 ¼ cups

Flour needed for 60 servings = Quantity of flour provided × number needed to multiply each ingredients with

= 1 ¼ × 5

= 5/4 × 5

= 25/4

= 6 ¼

3. Steps involved in finding out how much baking soda you will need to make 60 servings of chocolate chip cookies

baking soda needed for 60 servings = Quantity of baking soda provided × number needed to multiply each ingredients with

= ½ × 5

= 5/2

= 2 ½

4. Teaspoons salt = ¼ × 5 = 5/4 = 1 ¼

Cups sugar = ¾ × 5 = 15/4 = 3 ¾

Eggs = 1 × 5 = 5

tablespoons milk = 2 × 5 = 10

Cups chocolate chips = 1 ¾ × 6 = 7/4 × 6 = 42/4 = 10 ½

5. The number of eggs needed for 60 servings than 12 servings = eggs needed for 60 servings - ieggs needed for 60 servings

= 5 - 1

= 4

6. Number needed to multiply the amount of each ingredient by to adjust the recipe to 78 servings = Number of people that needs to be served ÷ The ingredients provided serves

= 78/12

= 6 ½

7. One time I made a mistake of keeping bad company, it really affected my studies because I lost concentration in school. My parents were disappointed in me but they helped me get back on the right track.

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What value of x is in the solution set of the inequality 4x - 12 ≤ 16 + 8x?
O-10
997
-9
-8
O-7

Answers

Answer:

-7

Step-by-step explanation:

Given inequality:

[tex]4x - 12 \leq 16 + 8x[/tex]

Subtract 4x from both sides:

[tex]\implies 4x - 12-4x \leq 16 + 8x -4x[/tex]

[tex]\implies -12\leq 16+4x[/tex]

Subtract 16 from both sides:

[tex]\implies -12-16\leq 16+4x-16[/tex]

[tex]\implies -28\leq 4x[/tex]

[tex]\implies 4x \geq -28[/tex]

Divide both sides by 4:

[tex]\implies 4x \div 4 \geq -28 \div 4[/tex]

[tex]\implies x \geq -7[/tex]

This means that x is equal to or greater than -7.

Therefore, the value of x that is in the solution set of the inequality is -7 as -10, -9 and -8 are all less than -7.

Answer:

x ≥ -7

Step-by-step explanation:

Given inequation,

→ 4x - 12 ≤ 16 + 8x

Then the value of x will be,

→ 4x - 12 ≤ 16 + 8x

→ 4x - 8x ≤ 16 + 12

→ -4x ≤ 28

→ x ≥ 28/-4

→ [ x ≥ -7 ]

Hence, the value of x is -7.

Simplify the expression.

the linear expression quantity negative 1 over 4 times r minus 8 minus 5 over 7 times r end quantity minus the linear expression quantity negative 3 over 4 times r plus 9 end quantity

negative 48 over 28 times r minus 1
negative 3 over 14 times r plus negative 17
negative 3 over 14 times r minus 1
9 over 28 times r plus negative 17

Answers

The value of the linear expression quantity negative 1 over 4 times r minus 8 minus 5 over 7 times r end quantity minus the linear expression quantity negative 3 over 4 times r plus 9 end quantity is B. negative 3 over 14 times r plus negative 17

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Based on the information given, the expression will be:

= (-1/4r - 8 - 5/7r) - (-3/4r + 9)

Collect like terms

-1/4r - 5/7r + 3/4r - 8 - 9.

= - 3/14r - 17

In conclusion, the correct option is B.

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Answer:

Step-by-step explanation:

b

1. Use substitution to solve each system of equations
y = -2
y = 3x - 20

Answers

Answer:

[tex]x=6, y=-2[/tex]

Step-by-step explanation:

[tex]-2=3x-20 \\ \\ 3x=18 \\ \\ x=6 \\ \\ \therefore x=6, y=-2[/tex]

Answer:

The answer is x = 6. If you want to solve the equation by inputting the x and y value, then take the x value and input it into the equation as well as the y value.

Step-by-step explanation:

To solve this equation, plug in the value equal to y and solve for x. The first thing you have to do is make the equation -2 = 4x - 20, since we already have the value for y which is given in the question. Then add 20 to both sides of the equation. We now have 18 = 3x, divide both sides by 3 and you have your answer.

Hence, X = 6.

A television can be purchased cash for $1800 or on hire purchase for a deposit of 20% and 18 monthly payments of $90. If taken on hire purchase calculate:
A) the deposit
B) the hire purchase price
C) Hence, the amount saved if the television is bought for cash.

Answers

A is the correct answer
A will be the correct one

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why ?

Answers

I will have to reject the offer of the rival company since it's lesser than $40560.

How to calculate the amount

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

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Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden.
How many vegetable plants do they have?

Answers

If Emily's family loves to work together in the garden . The number of vegetable plants they have is :20.

How to determine the number of vegetable plants?

Using this formula to determine the number of vegetable plants

Number of vegetable plants = Percentage of vegetable plants  × Number of plants

Let plug in the formula

Number of vegetable plants = 40% × 50

Number of vegetable plants = 20

Therefore we can conclude that  the number of vegetable plants is 20.

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The correct question is :

Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60 percent of their plants are flowers and 40 percent are vegetables. They have 50 plants growing in the garden.

How many vegetable plants do they have?

The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A.

Answers

The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A it is true.

The (i,j) minor of a matrix A is the matrix Aij obtained by deleting row i and column j from A. A determinant of an n×n matrix can be defined as a sum of multiples of determinants of (n−1)×(n−1) sub matrices.

This is done by deleting the row and column which the elements belong and then finding the determinant by considering the remaining elements. Then find the co factor of the elements. It is done by multiplying the minor of the element with -1i+j. If Mij is the minor, then co factor, [tex]c_{ij}[/tex] [tex]= -1^{i+j}[/tex] + [tex]m_{ij}[/tex].

Each element in a square matrix has its own minor. The minor is the value of the determinant of the matrix that results from crossing out the row and column of the element .

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What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3? m​

Answers

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is 5.

The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,

Coordinates of point = [tex](\frac{mx_{2}+ nx_{1} }{m+n} \frac{my_{2}+ ny_{1}}{m+n} )[/tex]

The coordinate of point J is (-3,1)

The coordinate of point K is (-8,11)

Consider the point that divides the line segment into 2:3 ratio as P(x,y).

The coordinates of point that divides the line segment into 2:3 ratio can be calculated as follows,

[tex]Coordinates of P = (\frac{3(-3)+2(-8)}{2+3}, \frac{3(1)+2(11)}{2+3} )[/tex]

[tex]= (\frac{-9-16}{5}, \frac{3+22}{5} )\\\\= (\frac{-25}{5} \frac{25}{5} )[/tex]

= (-5,5)

Hence the answer is The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

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The selling price of an item is $600. It is marked down by 10% , but this sale price is still marked up from the cost of $450. Find the markup from
cost to sale price.

Answers

$135 is markup price when cost is $450.

What is the cost price and an example?

Cost price, for instance, equals selling price plus profit ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given ) Cost price = 100 Selling Price + 100 + Profit (where the Selling Price and Profit Percentage are supplied)

selling price of item = $600

       cost = $450

10%×$650=$585

$585-$450=$135

$135 is markup price .

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answer the question in the screenshot please?

Answers

The value of x and y in the vector matrix are 2 and 5

What is a vector Matrix?

If a matrix has only one row or only one column it is called a vector.

A matrix having only one row is called a row vector.

A matrix having only one column is called a column vector.

The matrix for two equations

3 - x/4 = 5/2 ---------------------1

8 - 12/4 = y ----------------------2

From equation 1,

collect like terms

x/4 = 3-5/2

x/4 = 1/2

cross multiply

2x = 4

x = 4/2

x = 2

From equation 2,

8 - 3 = y

y = 5

In conclusion, the value of x = 2 and the value of y = 5

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X1. A restaurant owner keeps track of the food
prepared for guests for several days. Based on this
data, what is the constant of proportionality, if any
for this scenario? Show or explain how you know.
Vegetables Guests
Prepared
(Pounds)
Friday 15
Saturday 35
Sunday 25
Day
(number)
12
28
20

Answers

The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given table,

Suppose the number of guest ∝ food prepared.

Take the first data,

12 ∝ 15

12 = k(15)

k = 12/15 = 0.8

Hence "The constant of proportionality is the ratio of the number of guests to the food prepared is 0.8".

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Find the measures of the numbered angles.

Answers

Answer: <1=104 degrees, <2=76 degrees, <4=104 degrees, <5=104 degrees, <6= 76 degrees, <7= 76 degrees, <8= 104 degrees

Step-by-step explanation:

<76 & < 2 are vertical angles, which means they are congruent. <1 & <2 are supplements, meaning when you add them up they equal 180 degrees (180-76=104 degrees). <1 & <4 are vertical angles. Using the Alternating Exterior Angles Theorem (AIA), <2 & <7 are congurent. Using the same theorem, <1 & < 8 are congruent. <7 & <5 are supplements, and so is <8 & <6.

you receive a $60 gift card to a move theater. a ticket to an afternoon show costs $6 and a ticket to an evening show costs $10. the rules of the gift card state that you can only buy a maximum of 8 total tickets with the card. let x

Answers

The constraints for this situation in the form of a system of inequalities is 6x + 10 y = 60.

Given:

you receive a $60 gift card to a move theater. a ticket to an afternoon show costs $6 and a ticket to an evening show costs $10. the rules of the gift card state that you can only buy a maximum of 8 total tickets with the card.

x =  the number of afternoon tickets and y = the number of evening tickets.

6x ≤ 60

10y ≤ 60.

so

6x + 10 y = 60.

Therefore the constraints for this situation in the form of a system of inequalities is 6x + 10 y = 60.

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What is the value of q in the solution to this system of equations?
2m - 5q = 8
4m + 2q = 64

Answers

16 because you do 4*16=64
q=3 because

Answer:

q = 4

Step-by-step explanation:

Step 1: Set up the equation

The system of equations can be solved algebraically by substitution or elimination.For substitution, solve one of the equations for m and plug it into the other equation in order to solve for q.For elimination, cancel the m terms in order to solve for q.

Step 2: Solve for q

Substitution:2m - 5q = 84m + 2q = 644m = 64 - 2qm = [tex]\frac{64-2q}{2}[/tex]m = 16 - [tex]\frac{1}{2}[/tex]q2(16 - [tex]\frac{1}{2}[/tex]q) - 5q = 832 - q - 5q = 8-6q = -24q = 4Elimination:2m - 5q = 8      (multiply whole equation by -2 in order cancel m terms)4m + 2q = 64-2(2m - 5q = 8)-4m + 10q = -164m + 2q = 6412q = 48q = 4

1 4/5 is what fraction of 1 2/3

Answers

The fraction that 1 4/5 is of 1 2/3 is 1 2/25.

What is fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Let the fraction be illustrated as x

Therefore, 1 2/3 of x = 1 4/5

5x/3 = 9/5

Cross multiply

5x × 5 = 3 × 9

25x = 27

Divide

x = 27 / 25

x = 1 2/25.

The fraction is 1 2/25.

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Which situation cannot be represented by the equation 8−x=3?
Responses
ASAP PLEASE

Responses

Sunnyville had 3 fewer inches of rain than Pleasantville. Pleasantville had 8 inches of rain. What is x​, the amount of rain in Sunnyville?

Jackson walked 8 dogs. Henry walked 3. What is x​, the number of dogs the boys walked all together?

Joe had $8 and bought a piece of pizza. He had $3 left over. What is x, the cost of the pizza?

The difference between Amal's score and Katie's score was 3. Amal had 8 points, but Katie had fewer. What is x​, the amount of Katie's score?

Answers

The second situation about JACKSON and Henry cannot be represented by the equation 8-x=3.

This is because it is the total of dogs, so it would be 8+3=x

You go out to dinner and tip the waiter 21%. If your bill was $86.20, then what was your bill after
tipping 21%? Round to the nearest hundredth.

Answers

Answer:

The bill after tipping 21 percent would be $104.30.

Step-by-step explanation:

$86.20 x 0.21 = $18.102

$86.20 + $18.102 = $104.302

$104.302 ≈ 104.30

Hope my answer helped! Have a great afternoon.

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