Suppose you know that ∠S and ∠Y are complementary and that m∠S = 5(m∠Y) − 180°. Find m∠Y.

Answer:

Therefore, the resulting expression for the price Genevieve will pay

will be:  [tex]p-100-\frac{3}{20}p[/tex]

Step-by-step Explanation:

Let the original cost of a laptop = p dollars

So, subtract the $100 and 15% off coupon (15% off on original 'p' cost)

The resulting expression for the price Genevieve will pay can be computed as:

[tex]p-100-15\%\:p[/tex]

[tex]=p-100-15\frac{p}{100}[/tex]

[tex]=p-100-\frac{3}{20}p[/tex]        ∵ [tex]15\%\mathrm{\:in\:fractions}:\quad \frac{3}{20}[/tex]

Therefore, the resulting expression for the price Genevieve will pay

will be:  [tex]p-100-\frac{3}{20}p[/tex]

Keywords: price, algebraic expression

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Answer:596

Step-by-step explanation:

There are a total of  216 boys in the college.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  there is an introductory engineering course if 396 students are enrolled and there are 6 boys to every five girls.

Given that the ratio of boys to girls = 6/5

Since there are a total of 396 students in the college

so.

6x + 5x = 396

11x = 396

x = 36

Thus, the number of boys in College = 36 * 6

Number of boys in college = 216

therefore, There are a total of  216 boys in the college.

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Answer:

we need the picture or answer choices

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

Both -4 4/25 and -4.16 are the same number. Neither is 'bigger' because they hold an equal value.

To determine which number is bigger between -4 4/25 and -4.16, we should understand that a larger negative number is the one closer to zero on the number line. First, let's convert -4 4/25 into a decimal format. This number is the same as -4.16 (as 4/25 is equal to 0.16).

Therefore, both -4 4/25 and -4.16 are exactly the same. In the context of negative numbers, 'bigger' means being closer to zero. Thus, neither is 'bigger' because they are equal.

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The equation for a circle with center (2,8) and radius 3 is written as (x - 2)^2 + (y - 8)^2 = 9.

The question provided describes the properties of a circle and is asking for its equation.

A circle with a center (2,8) and radius 3 can be represented by the equation (x - 2)^2 + (y - 8)^2 = 3^2.

This is derived from the general equation of a circle (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center and r is the radius.

For this case we have that by definition, the perimeter of a rectangle is given by:

[tex]P = 2l + 2w[/tex]

Where:

l: It is the length of the rectangle

w: It is the width of the rectangle

According to the statement we have to:

[tex]l = w + 3 \frac {1} {6} = w + \frac {19} {6}\\P = 15 \frac {1} {3} = \frac {46} {3}[/tex]

The length and perimeter are expressed in centimeters.

Substituting we have:

[tex]\frac {46} {3} = 2 (w + \frac {19} {6}) + 2w\\\frac {46} {3} = 2w + \frac {38} {6} + 2w\\\frac {46} {3} = 2w + \frac {19} {3} + 2w\\\frac {46} {3} = 4w + \frac {19} {3}\\\frac {46} {3} - \frac {19} {3} = 4w\\\frac {27} {3} = 4w\\[/tex]

[tex]9 = 4w\\w = \frac {9} {4}[/tex]

Thus, the width of the rectangle is [tex]\frac {9} {4}[/tex] centimeters.

The length is:

[tex]l = w + \frac {19} {6} = \frac {9} {4} + \frac {19} {6} = \frac {54 + 76} {24} = \frac {130} {24} = \frac {65} {12}[/tex] centimeters.

Answer:

[tex]l=\frac{65}{12}[/tex] centimeters

[tex]w=\frac{9}{4}[/tex] centimeters

Answer:

The length of the triangle is [tex]\frac{65}{12} cm[/tex] and the width is [tex]\frac{9}{4} cm[/tex]

Step-by-step explanation:

Given

Length of the Rectangle = [tex]3\frac{1}{6}[/tex] longer than the width

Perimeter of the Rectangle = [tex]15\frac{1}{3}[/tex]

Required

What are the width and length of the rectangle.

Let L represent the length of the rectangle, W represent the width of the rectangle and P represent the Perimeter.

So, we have that

L = [tex]3\frac{1}{6}[/tex] + W

P = [tex]15\frac{1}{3}[/tex]

Perimeter of a rectangle is calculated by 2( L + W)

So,

P = 2( L + W) becomes

[tex]15\frac{1}{3} = 2(3\frac{1}{6} + W + W)[/tex]

[tex]15\frac{1}{3} = 2(3\frac{1}{6} + 2W)[/tex]

Convert fractions to improper fractions

[tex]\frac{46}{3} = 2(\frac{19}{6} + 2W)[/tex]

Open Bracket

[tex]\frac{46}{3} = 2 * \frac{19}{6} + 2 * 2W[/tex]

[tex]\frac{46}{3} = \frac{19}{3} + 4W[/tex]

Make 4W the subject of of formula

[tex]4W = \frac{46}{3} - \frac{19}{3}[/tex]

[tex]4W = \frac{46 - 19}{3}[/tex]

[tex]4W = \frac{27}{3}[/tex]

[tex]4W = 9[/tex]

Make W the subject of of formula

[tex]W = \frac{9}{4}[/tex]

Recall that

L = [tex]3\frac{1}{6}[/tex] + W

So, [tex]L = 3\frac{1}{6} + \frac{9}{4}[/tex]

[tex]L = \frac{19}{6} + \frac{9}{4}[/tex]

[tex]L = \frac{38 + 27}{12}[/tex]

[tex]L = \frac{65}{12}[/tex]

Hence, the length of the triangle is [tex]\frac{65}{12} cm[/tex] and the width is [tex]\frac{9}{4} cm[/tex]

Answer:

I'm Going With A.) Hope It Helps

Answer:

46 hours

Step-by-step explanation:

We are given the information;

Required to determine the number of hours;

We need to know that;

Number of hours = Amount earned ÷ rate per hour

Therefore;

First week;

Number of hours = $192 ÷ $8 per hour

                             = 24 hours

Next week

Number of hours = $176 ÷ $8 per hour

                             = 22 hours

Thus, number of hours she worked = 22 + 24

                                                           = 46 hours

Therefore, in the two weeks Molly baby-sited for 46 hours

Answer:

We just add numerators and rewrite denominator.

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Step-by-step explanation:

You mean unlike denominators and like denominators.

Adding like dominators: We just add numerators and rewrite denominator :

Example : [tex]\frac{1}{4} +\frac{2}{4}=\frac{1+2}{4} =\frac{3}{4}[/tex]

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

For example :

[tex]\frac{1}{5}+\frac{3}{4}[/tex]

LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :

[tex]\frac{1*4}{20} +\frac{3*5}{20}=\frac{4}{20} +\frac{15}{20}=\frac{19}{20}[/tex]

Step-by-step explanation:

If you have a problem like 1 5/21 + 3 42/56 = ?

You have to find a common denominator. So you should of got 1 280/1176 and 3 882/1176. Then you add 1 280/1176 + 3 882/1176 = 4 1162/1176. Then you need to simplify the fraction. When you simplify the fraction you get 83/84. So your answer is 4 83/84.

If you have a common denominator you save your denominator and the numerator change. If you can then simplify it.

Answer:

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.

Step-by-step explanation:

Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.

So, from the given conditions we can write

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Now, solving equations (1) and (2) we get,

9x + 5(7 - 3x) = 29

⇒ 35 - 6x = 29

⇒ 6x = 6

⇒ x = 1 token.

Now, putting x = 1 in equation (2) we get,

3 + y = 7

⇒ y = 4 tokens.

So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)

Answer:

5

Step-by-step explanation:

Answer:

the melting point of water is 0

Three equivalent expressions to 24k + 12k are 36k, 12k(2 + 1), and 6k(4 + 2). To calculate Cammie's total spending on x pounds of plums and y pounds of oranges, the expression 3x + 2y is used.

Equivalent expressions for 24k + 12k can be found by combining like terms or using the distributive property. Here are three equivalent expressions:

For the second part of the question, an expression to determine the total amount Cammie will spend on x pounds of plums at $3 per pound and y pounds of oranges at $2 per pound is given by:

3x + 2y

This expression represents the total cost by multiplying the quantity of each fruit by its price and then adding the results together.

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

Let:

x=length

(x/4)+1=width

P=2l+2w

62=2x + 2[(x/4)+1]

62=2x + 1/2x + 2

multiply both sides by 2

124=4x+x+4

5×=120

x=24

length: 24 inches

width: 7 inches

hope this helps!!

Answer: 22

Step-by-step explanation:

3x + 5y = 2 .......................... equation 1

2x - 6y = 20 ........................... equation 2

solving the system of linear equation by elimination method. Multiply equation 1 by 2 and equation 2 by 3 , then we have

6x + 10y = 4 ............................. equation 3

6x - 18y = 60 ........................... equation 4

subtract equation 3 from equation 4 , then we have

-28y = 56

divide through by -28

y = -2

substitute y = 2 into equation 1 to find the value of x , then we have

3x + 5 (-2) = 2

3x - 10    = 2

3x = 2 + 10

3x = 12

x = 4

Therefore :

5x - y = 5 (4) - (-2)

          = 20 + 2

          = 22

Answer:

Option A) [tex]-6r^2s^4t^3[/tex] is correct

Therefore the result is [tex]\frac{18r^4s^5t^6}{-3r^2st^3}=-6r^2s^4t^3[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{18r^4s^5t^6}{-3r^2st^3}[/tex]

To find the result of the given expression:

That is solve the fractional expression as below:

[tex]\frac{18r^4s^5t^6}{-3r^2st^3}[/tex]

[tex]\frac{18r^4s^5t^6}{-3r^2st^3}=\frac{-6r^4s^5t^6}{r^2st^3}[/tex]

[tex]=-6r^4s^5t^6.r^{-2}s^{-1}t^{-3}[/tex]  ( using the properties [tex]\frac{1}{a^m}=a^{-m}[/tex] and [tex]a^m.a^n=a^{m+n}[/tex])

[tex]=-6r^{4-2}s^{5-1}t^{6-3}[/tex]

[tex]=-6r^2s^4t^3[/tex]

Therefore [tex]\frac{18r^4s^5t^6}{-3r^2st^3}=-6r^2s^4t^3[/tex]

Therefore the result is [tex]-6r^2s^4t^3[/tex]

Therefore option A) [tex]-6r^2s^4t^3[/tex] is correct

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex](-\infty, \infty)[/tex]

Explanation:

The function is [tex]y=-\frac{1}{4} x[/tex]

The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].

The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].

Answer:

x=2 and y=−5

Step-by-step explanation:

Answer:

Part A)

The unit price for the 12-cupcake option is $

2.42

The unit price for the 24-cupcake option is $

2.33

The unit price for the 50-cupcake option is $2.58

Part B) The 24-cupcake option has the lowest unit price

Part C) see the explanation

Part D) see the explanation

Step-by-step explanation:

Part A) Find each unit price to the nearest cent

we know that

To find out the unit rate divide the cost by the number of cupcakes

so

Part 1) 12 cupcakes for $29

[tex]\frac{29}{12}=\$2.42\ per\ cupcake[/tex]

Part 2) 24 cupcakes for $56

[tex]\frac{56}{24}=\$2.33\ per\ cupcake[/tex]

Part 3) 50 cupcakes for $129

[tex]\frac{129}{50}=\$2.58\ per\ cupcake[/tex]

Par B) Which option gives the lowest unit price?

The 24-cupcake option has the lowest unit price

Part C) One way to convert from inches to centimeters is to multiply the number of inches by 2.54. How many centimeters are in 1/4 inch?

Multiply 1/4 inches by 2.54

(1/4)(2.54)=0.635 cm

Part D) A stack of 500 pieces of paper is 1.875 inches tall.

Find the thick of each piece of paper

Divide 1.875 inches tall. by 500 pieces

[tex]\frac{1.875}{500}=0.00375\ in/piece[/tex]

therefore

Diego is incorrect

The unit price for the 12-cupcake is $2.42.

The unit price for the 24-cupcake is $2.32.

The unit price for the 50-cupcake is $2.58.

The 24-cupcake option has the lowest unit price.

It is 0.636cm centimeters are in 1/4 inch.

The thick of each piece of paper is 0.00375cm per paper.

Given that,

A sign in a bakery gives these options:

12 cupcakes for $29

24 cupcakes for $56

50 cupcakes for $129

We have to determine,

Find each unit price to the nearest cent.

According to the question,

Price for 12 cupcakes for $29.

Unit price of 12-cupcakes = [tex]\rm\frac{29}{12} = 2.42[/tex]

The unit price for the 12-cupcake is $2.42.

Price for 24 cupcakes for $56.

Unit price of 24-cupcakes = [tex]\rm\frac{56}{24} = 2.33[/tex]

The unit price for the 24-cupcake is $2.32.

Price for 50 cupcakes for $129.

Unit price of 50-cupcakes = [tex]\rm\frac{129}{50} = 2.58[/tex]

The unit price for the 50-cupcake is $2.58.

To centimeters are in 1/4 inch.

Multiply 1/4 inches by 2.54,

[tex](\frac{1}{4} )(2.54)=0.635 cm[/tex]

It is 0.636cm centimeters are in 1/4 inch.

The thick of each piece of paper,

Divide 1.875 inches tall. by 500 pieces for thick of each piece of paper,

[tex]= \frac{1.875}{500} \\\\= 0.00375cm[/tex]

The thick of each piece of paper is 0.00375cm per paper.

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Answer:

I have to guess c.) 10 I am not positive though

Step-by-step explanation:

Answer:

y = -2x -7

Step-by-step explanation:

y + 5 = -2 (x +1)

y + 5 = -2x -2 . move 5 to the other side by subtracting from both sides.

y = -2x -7

Answer:

∠ C < ∠ B < ∠ A.

Step-by-step explanation:

The length of the sides of a triangle are proportional to the measurement of its opposite side and vice-versa.

Now, in a triangle Δ ABC the opposite angle of side AB is ∠ C, the opposite angle of the side BC is ∠ A and the opposite angle of the side CA is ∠ B.

So, if it is given that AB < AC < BC, then we can say that ∠ C < ∠ B < ∠ A. (Answer)

Answer:

A

Step-by-step explanation:

If your on e2020 Then A is your answer

Answer:

A

Step-by-step explanation:

TOOK QUIZ MADE 100

Answer:

y = 9/10

Step-by-step explanation:

Hope this helps also if you download photomath it really helps. :)

1 - 2/3y = 6/15   Isolate/get y by itself, first subtract 1 on both sides

-2/3y = 6/15 - 1       [to combine fractions, they need to have the same denominator]

-2/3y = 6/15 - 15/15

-2/3y = -9/15        Multiply the inverse of -2/3, which is -3/2 on both sides to get y by itself

y = 27/30      Simplify

y = 9/10

Answer:

-2

Step-by-step explanation:

-6x=5x+22

-6x-5x=22

-11x=22

x=22/-11

x=-2

Answer:

160 good luck tho on whatever

Step-by-step explanation:

450-290

The question is about determining the initial elevation of a hiker's journey given the increase in elevation and the current elevation. The hiker started at an elevation of 160 feet before the hike.

The student is asking a question related to change in elevation during a hike. If a hiker increased their elevation by 290 feet and is currently at 450 feet, they must have started at an elevation of 160 feet that morning. This is calculated by subtracting the increase from the current elevation: 450 feet - 290 feet = 160 feet.

The terms that are called means are 2 and 36

Solution:

A proportion is simply a statement that two ratios are equal

Proportion is written as:

[tex]\frac{a}{b} = \frac{c}{d}[/tex]

In ratios, we can write as,

a : b = c : d

To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

[tex]\frac{a}{b} = \frac{c}{d}\\\\a \times d = b \times c[/tex]

Here, a and d are extremes

b and c are means

In the given proportion,

[tex]\frac{12}{36} = \frac{2}{6}[/tex]

[tex]12 \times 6 = 2 \times 36[/tex]

Here, 12 and 6 are extremes

2 and 36 are means

In the given proportion 12/36=2/6, the mean terms are 12 and 6. To verify the proportion, one can use the cross-products method, which confirms its correctness since the multiplication of means and extremes produces equal results.

In the proportion 12/36=2/6, the terms that are known as the means are the two numbers that are on the inside of the proportion, which are 12 and 6 in this case. Proportions are made up of four terms, with the first and last terms called the extremes, and the two terms in the middle called the means. To solve a proportion and check if it is true, you can use the cross-products method, which involves multiplying the means and the extremes. If the cross-products are equal, then the proportion is true. In this example, 12 (the mean) multiplied by 2 (an extreme) is equal to 24, and 36 (the other extreme) multiplied by 6 (the mean) also gives 24, confirming that this proportion is correct.

Answer:

(5)(2)+(7)(3)−3(2+3)+4

=20

Answer:

a) A=π(r×r)

Where π=constant pie of 3.143

           r= half of diameter

b) 31420 square units

Step-by-step explanation:

The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.  

A)What is the AREA formula for a circle?

A=π(r×r)

Where π=constant pie of 3.143

           r= half of diameter

B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units

A=π(r×r)

   =3.142×100×100

   =31420 square units

The formula for the area of a circle is A=πr². To find the area of a circular object, like a Ferris Wheel, you need to know the radius. If the radius is 10 units, then A=π(10)² = 314 square units.

The subject of this question is Mathematics and it's a Middle School level question. It's about calculating the area of a circle, which in this case is the Ferris Wheel.

A) The formula for the area of a circle is Pi times the radius squared (A=πr²). Pi (π) is approximately 3.14 and the radius (r) is the distance from the center of the circle to the outside of the circle.

B) To find the area of the Ferris Wheel, you'll need to know the radius. Let's assume the radius of our Ferris Wheel is 10 units. Plugging these values into the formula we have: A=π(10)² = π * 100 = 314 square units. The unit of measurement for the area depends on the unit used for the radius. If the radius was in meters, then the area is in square meters, if the radius was in feet, then the area is in square feet, and so on. If no units is given, we just call it 'square units'.

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