Employees of the store in the Example wear shirts with the logo on the back. The
scale from the original logo in inches to the shirt in inches is 1 : 8. What is the area
of the logo on their shirts? Show your work.

Answers

Answer 1

The original logo is a triangle and measures

1.5in x 1.5in

Magnification is

Original shirt = 1:8

Shirt logo area

A = 1/2bh

A = 1 / 2 * (1.5 * 8) (1.5 * 8) = 72 square inches

The area is a quantity that describes the extent of an area on a plane or curved surface. Planar region or planar region area refers to the area of ​​a shape or planar layer, and surface area refers to the open surface or boundary area of ​​a three-dimensional object.

The area is defined as the total space occupied by a planar (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. A two-dimensional character. The space a shape occupies on paper is called its area. Now imagine that the square is made up of smaller unit squares.

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Related Questions

Select the part of speech for the underlined words below. Sometimes I am as ORNERY and STUBBORN as an old donkey. adverb conjunction preposition adjective​

Answers

Answer:

Adjective

Those are describing words

13 Aura 30% increase the new price of a book is $91.00. What was the original price of the book?

Answers

The old/Original value of the book before 30% increase in price  is $70

Let us assume the old price of book before30% increase be x

Then the new price of the book after 30% increase would be x+ 30% of x

Which can be simplified as x+ 0.30x

Which further can be simplified 1.30x

As we are provided with the new price of book, we have to equate the above linear equation with the new price of the book

1.30x = $91

To solve the equation we need to move 1.30 from left hand side to right hand side which would change from  to

X= 91/1.30

X=$70

Hence the old value of the book before 30% increase in price   is $70

Correct question is if  30% increase in price of a book and the new price of a book is $91.00. What was the original price of the book?

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First, translate triangle FDE down 5 units. Second, reflect it over the y axis. Label the image F'D'E'.? what do I do​

Answers

Answer:

Step-by-step explanation:

Answer:

first translate triangle FDE down 5 units

second reflect it over the y axis

The image

Step-by-step explanation:

What is the image of the point (0,4)(0,4) after a rotation of 180^{\circ}180

counterclockwise about the origin?

Answers

Answer:

(0,-4)

Step-by-step explanation:

I'm pretty sure it would be (0,-4) though it may be counted wrong. A whole 180° is like if you start from the highest point, you'd be at the lowest point right after the turn. It doesn't really matter the direction with 180° in this case cause it's going to be the same outcome anyways. (Or so I'd think).


Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to write and simplify expressions for the lengths of the diagonals.

Answers

Answer:

8.6

Step-by-step explanation:

Distance between two points

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\textsf{where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points}.[/tex]

Define the points:

[tex]\textsf{Let}\:(x_1,y_1)=(0,0)[/tex][tex]\textsf{Let}\:(x_2,y_2)=(7,5)[/tex]

Substitute the defined points into the formula:

[tex]\implies d=\sqrt{(7-0)^2+(5-0)^2}[/tex]

[tex]\implies d=\sqrt{7^2+5^2}[/tex]

[tex]\implies d=\sqrt{49+25}[/tex]

[tex]\implies d=\sqrt{74}[/tex]

[tex]\implies d=8.6\;\;\sf (nearest\: tenth)[/tex]

Therefore, the length of one of the diagonals of the rectangle is 8.6.

-2(y + 1) + 5y = 3(y + 1) - 2
solve for y

Answers

Answer:

0 = 3 or No Solution

Step-by-step explanation:

a) Simplify both sides of the equation

−2(y + 1) + 5y = 3(y + 1) − 2

(−2)(y) + (−2)(1) + 5y = (3)(y) + (3)(1) + −2

−2y + −2 + 5y = 3y + 3 + −2

(−2y + 5y) + (−2) = (3y) + (3 + −2)

3y + −2 = 3y + 1

3y −2 = 3y + 1

b) Subtract 3y from both sides

3y − 2 − 3y = 3y + 1 − 3y

−2 = 1

c) Add 2 to both sides

−2 + 2 = 1 + 2

0 = 3 or No Solution

Lisa is riding on a bike course that is 40 miles long .So far she has ridden 22 miles of the course.what percentage of the course has Lisa ridden so far

Answers

Answer:

55%

Step-by-step explanation:

She has ridden 22 out of 40 miles

22/40 is 0.55

0.55 = 55%

She has eight more miles or 45% left to go.

Naveen Borah is a maintenance worker, He earns $12.80 per
hour for 40 hours and time and a half for overtime. He worked
48 hours last week. What is his pay for the week?

Answers

Answer: $563.2

Step-by-step explanation:

h=hours. T=total money earned in a week. o=overtime pay

o=12.8/2

o=6.4

T=12.8(40)+6.4(h-40)

T=512+6.4h-256

T=512-256+6.4h

T=6.4h+256

T=6.4(48)+256

T=307.2+256

T=$563.2

Rewrite each fraction as a percent and each percent as a fraction.

Answers

Where is the rest of your question??

All I could help with now is show you how to do it since I don’t know the rest of the question.

To change a fraction to a percentage: you can divide the numerator by the denominator then multiply the result by 100. For example: Use division to convert the fraction to a decimal: 1/4 = 1 ÷ 4 = 0.25.
Multiply by 100 to get percent value: 0.25 × 100 = 25%

To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary. For example, to convert 17% to a fraction, put 17 over 100, like this: 17/100 (and simplify if needed).

Which graph is a function of x?

Answers

Answer:

The first one is a function of x. The graph with a straight line up and down (vertical).

Step-by-step explanation:

A line on a graph passes through the points (15, 10) and (60, 20).

Answers

Answer:

Not complete, please recheck the question

14. Which expressions are equal to 10^-5? Select all that apply.

10^5
10,000
10,000^-5
1/10^5
1/10,000

Answers

Answer:

It is C.

Step-by-step explanation:

Since 10 is to the power of negative five the number would be smaller than it was originally.

So um yeah this is a word problem for Honors Algebra and I can’t figure it out so maybe you can. It’s equations and inequalities but word form. So yeah good luck!! It’s number 4.

Answers

Answer:

  5 trumpet players

Step-by-step explanation:

Given there are 10 fewer trumpet players than saxophone players, and the number of saxophone players is 3 times the number of trumpet players, you want to know the number of trumpet players.

Setup

Let t represent the number of trumpet players. Then 3t is the number of saxophone players, and the difference in numbers is ...

  3t -t = 10

Solution

Collect terms and divide by the coefficient of t:

  2t = 10

  t = 5

There are 5 trumpet players.

__

Additional comment

Check: There are 3 times as many sax players, so 15 of those. That's 10 more than the number of trumpet players.

You could have written the equation as ...

  t +10 = 3t . . . . . . 10 more than the number of trumpets

Sometimes, when ratios are given:

  t : s = 1 : 3

you can think in terms of "ratio units." Here, the difference is 3-1 = 2 ratio units, corresponding to a difference of 10 players. Then the multiplier of the ratio is 10/2 = 5:

  t : s = 1 : 3 = 5 : 15 . . . . . . 5 trumpets and 15 saxophones.

what is the difference of twice a number and 3 is 11

Answers

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

1. Round each decimal to the nearest whole number.
b. 34.972
a. 0.948

Answers

35 and 1 yeeeeeeeeeeeeee

Answer:

34.972 ≈ 35

0.948 ≈ 1

Hope this helps :)

Step-by-step explanation:

To round to the nearest whole number look at the tenths place (the place right after the decimal). If the number is 1,2,3,4 then round down or keep the number the same. If the number is 5,6,7,8,9 then round up.

An employment agency specializing in temporary construction help pays heavy equipment operators $136 per day and general laborers $80 per day. If thirty-two people were hired and the payroll was $3960, how many heavy equipment operators were employed? How many laborers?

Answers

The number of heavy equipment operators employed is 26 while number of laborers employed is 6

How to solve Algebraic word problems?

Let x be the number of heavy equipment operators employed

Thus, If thirty-two people were hired, then we can say that;

32 - x represents the number of laborers employed

Thus, the equation to solve for x would be;

136x + 80(32 - x) = 3960

136x + 2560 - 80x = 3960

216x + 2560 = 3960

216x = 3960 - 2560

216x = 1400

x = 1400/216

x ≅ 6

Thus;

32 - x = 32 - 6 = 26

Thus, we conclude that number of heavy equipment operators employed is 26 while number of laborers employed = 6

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1. Name three acute angles.
a. NOK, JOK, KOL
b. NOM, JOK, KOL
c. NOM, JOK, KON

Answers

Answer:B
Explanation :Due that the image above is not fully shown we assume that the two unknown points are L and K.We can use simply use a protractor to measure the angles,an acute angle is sub 90º.
For A. NOK is already to big which leaves two options left.Assuming the point of unknown L and K positions b. Will be correct.
Sorry If I am wrong about this
Have a nice day!

PLEASE HELP (I HAVE PHOT)
IM LITTERALLY BEGGING YOU!!! Extra points and BRAINLIEST

Just please do 6,7,8,9,and10!!!

Answers

The responses to the questions involving the solution and equations of a straight line are;

6. The slope is -0.5

7. The equation is; y = x + 4

8. y = 7 - 0.25•x

9. The balance after m months is modeled by the equation;

B = 1,800 - 150•m

10. The slope is the monthly payment on the loan

How can a straight line equation be analyzed?

6. The points on the graph in question 6 are; (0, 4), and (4, 2)

The slope is given by the ratio of the rise to the run of the graph as follows;

[tex]Slope = \frac{2 - 4}{0 - 4} = - 0.5[/tex]

The slope of the graph is -0.5

7. The equation in slope and intercept form is found as follows;

The given points are;

(-1, 3), and (-3, 1)

The slope and intercept form is presented as follows;

y = m•x + c

The point and slope form is presented as follows;

y - y1 = m•(x - x1)

Where m is the slope of the graph

m = (1 - 3)/(-3 - (-1)) = -2/-2 = 1

Which gives;

y - 3 = 1 × (x - (-1)) = x + 1

y = x + 1 + 3 = x + 4

y = x + 4

The equation of the graph in slope and intercept form is; y = x + 4

8. The points are; (-4, 8), (4, 6)

Which gives;

m = (6 - 8)/(4 - (-4)) = -2/8 = -0.25

Therefore;

y - 8 = -0.25•(x - (-4)) = -0.25•x - 1

y = -0.25•x - 1 + 8 = -0.25•x + 7

y = 7 - 0.25•x

9. The amount Zachary purchased the computer on loan = $1,800

The balance after 3 months = $1,350

The balance after 5 months = $1,050

Therefore;

The points on the graph of the equation that models the balance are therefore;

(0, 1,800), (3, 1,350), (5, 1,050)

Which gives;

B - 1800 = ((1,350-1,800)/(3-0))•(m - 0)

B - 1800 = -150•m

B = 1,800 - 150•m

The equation that models the balance, B, after m months is therefore;

B = 1,800 - 150•m

10. The slope, ((1,350-1,800)/(3-0)) = -150, signifies the amount by which the balance reduces each month, which is the same as the amount Zachary pays each month, (the monthly payment).

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What is the vertex and minimum and maximum of
y= -2/3|x-1|

Answers

The vertex of the function is (1, 0), the maximum is y = 0 and it has no minimum

How to determine the vertex and minimum and maximum of the function?

The function is given as:

y = -2/3|x - 1|

The above function is an absolute value function

An absolute value function is represented as:

y = a|x - h| + k

Where the vertex is

Vertex = (h, k)

By comparing y = a|x - h| + k and y = -2/3|x - 1|, we have

(h, k) = (1, 0) --- vertex

a = -2/3

Because a = -2/3 is negative, then the vertex is a maximum

Hence, the vertex of the function is (1, 0), the maximum is y = 0 and it has no minimum

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find xz

a 31.7
b 35.5
c 37.2
d 28.5

Answers

Answer:

I don't know I think it's b

State (f/g)(x) and determine its domain

Answers

This will help how to do

-
In AHIJ, m/H = (8x − 6)˚, m≤I = (2x − 4)°, and mZJ = (x − 8)˚. Find
m/H.

Answers

Answer: jus subtract untill u find x

Step-by-step explanation:

whether u do to one side do to the other

What is the maximum number of solutions an
equation of the form ||ax − b| + c| = d can have?
Justify your reasoning with an example

Answers

Answer:

4 for c < 02 for c > 0

Step-by-step explanation:

You want the maximum possible number of solutions to the equation

  ||ax -b| +c| = d

Analysis

The values of 'a' and 'b' represent a vertical scale factor and a horizontal shift, so don't really contribute to the number of possible solutions. That means we can consider only the equation ...

  ||x| +c| = d

Positive c

We know |x| is always positive, and may have the same value for two different values of x. For positive 'c', the outside absolute value function does nothing, so the equation is effectively ...

  |x| = d-c

For d < c, there can be no solutions. For d = c, there will be one solution, and for d > c, there will be two solutions.

Negative c

When 'c' is negative, then sum |x| +c may have either sign. This gives rise to another pair of possible solutions, for a total of four solutions.

Graph

The attached graph shows the two cases. The red graph shows the left side expression with c > 0; the purple graph shows the left side expression with c < 0. The orange horizontal line represents a value of 'd'. The number of intersection points with that horizontal line is the number of possible solutions to the given equation.

For c > 0, there are two possible solutions.

For c < 0, there are four possible solutions.

Help me please with this! Thank you :)

Answers

Answer:

I'm pretty sure it's 5:4 or 5/4. I think this because there are 5 peaches and four oranges.

I need help on this question

Answers

Answer: 225 yd³

Step-by-step explanation:

6*4*3=72

3*17*3=153

153+72=225 yd³

Un parque de diversiones quiere construir balsas con 3 troncos de palmera, los cuales miden 15, 9 y 6 metros, ¿cuánto
deben medir los pedazos de tronco si tienen que ser del mismo tamaño?, ¿cuántos pedazos de troncos saldrán?

Answers

Encontrando un factor comun entre los 3 números dados, concluimos que cada pedazo de tronco debe medir 3 metros, y se obtendran 10 pedazos en total.

¿cuánto deben medir los pedazos de tronco si tienen que ser del mismo tamaño?

Sabemos que los troncos miden 15, 9, y 6 metros, si los queremos cortar en pedazos de igual longitud, de tal forma que nada se desperdicie, entonces debemos encontrar un factor comun entre esos 3 numeros.

Los podemos reescribir como:

15 = 3*5

9 = 3*3

6 = 2*3

Entonces el unico factor comun entre las 3 longitudes es 3.

El tronco de 15 metros dará:

15/3 = 5 pedazos de tronco.

El tronco de 9 metros dará:

9/3 = 3 pedazos de tronco.

El tronco de 6 metros dará:

6/3 = 2 pedazos de tronco.

Sumando eso obtenemos 5 + 3 + 2 = 10 pedazos en total.

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89% means 89 out of?

Answers

89% is equal to 89 out of 100 - your answer is 100

Answer:

100

Step-by-step explanation:

A florist prepares an order of daisies and roses. For every 5 daisies, she orders 2 roses. What two equations show the relationship between the number of daisies and the number of roses.

Answers

According to the solving the relationship between d and r are:

d = 2.5*r

r = d/2.5

What is relations in Mathematics?

The relation in mathematics refers to the relationship between two or more types of values. Assume that x1 and x2 are two ordered pair sets. If set x is related to set y, the values of set x are referred to as domain, whereas the numbers of set y are referred to as range.

What exactly is a fundamental relationship?

A base relation is simply a physical table that is maintained in a database. In contrast, a view is formed from base relations but it doesn't physically exist in the database; it only exists as either a structural definition that pulls data from a number of different base relations.

According to the given data:

Given : 5 daises to 2 roses

d ∝ r

where d=daises and r=roses

d = kr

k = d/r

k = 5/2

k = 5.2

So,

d = 2.5 x r...............equation(1).
making r subject in eq (1)

r = d/2.5 ........................equation(2)

According to the solving the relationship between d and r are:

d = 2.5*r

r = d/2.5.

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Solve for |y| = -18.

Answers

Answer:

18

Step-by-step explanation:

bc it is asking for the absolute value

please show me what is 11.54(-2.6)

Answers

-30.004

(Blank space filler)
-30.004

(blank space filler )
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