If a piece of luggage has a height of 20.5 inches and a length of 14.75 inches, what is the maximum width
allowed for that piece of luggage?

A)9.75in
B)10.2in
C)10.25in
D)11.8in

The examples for each of the quadrant is explained below.

Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.

Here we have to know the value that must be placed on each quadrant.

Here the first quadrant has both x and y-coordinates are positive.

The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.

The third quadrant has both x and y-coordinates are negative.

The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.

Therefore, the example for each of them are written as

=> Quadrant I = (1, 1)

=> Quadrant II = (-1, 1)

=> Quadrant III = (-1, -1)

=> Quadrant IV = (1, -1)

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Answer:

b^=118

the mzb is 42 we add each numbers by 42

Answer:

1/2

Step-by-step explanation:

simlified would be 1/2

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]6x-3(x+8)=9\\6x-3x-24=9\\3x-24=9\\3x=33\\x=11[/tex]

Answer:

X=11

Step by step:

6x-3(x+8)=9

=6x-3x-24=9

=3x-24=9

      +24   +24

=3x=33

=3x/3=33/3

X=11

A) Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

B)The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

To find the speed and direction of the wind, we can use the fact that the ground speed vector (GS) is the sum of the air speed vector (AS) and the wind speed vector (WS).

Given that:

AS = 480 miles per hour at a bearing of N82°E

GS = 518 miles per hour at a bearing of 79°E

We can use the law of cosines to find the wind speed (WS) and the angle between AS and WS.

WS = √(GS² - AS² + 2AS * GS * cos(GS - AS))

WS = √(518² - 480² + 2(480)(518)cos(79 - 82)) = √(268816 - 230400 + 466560cos(-3)) = √(28672) = 168 miles per hour

Then we can use the angle between AS and WS to find the direction of the wind:

Direction of the wind = (bearing of AS + bearing of WS) / 2 = (82 + 79) / 2 = 80.5 ° NE

To find the resulting ground speed and direction of the plane if the pilot increased the air speed to 500 miles per hour, we can use the same method as before.

Given that:

AS' = 500 miles per hour at a bearing of N82°E

GS' = √(AS'² + WS² - 2AS'WS * cos(direction of WS - direction of AS'))

GS' = √(500² + 168² - 2(500)(168)cos(80.5 - 82)) = √(250000 + 28672 + 118400cos(1.5)) = √(284872) = 535.5 miles per hour

The resulting ground speed and direction of the plane would be 535.5 miles per hour at a bearing of 80.7°E.

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So, it rained 15/8 inch the day before yesterday.

The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.

To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.

2/8 = 2/8 * 1 = 2/8

3/8 = 3/8 * 1 = 3/8

Now we can add the fractions:

2/8 + 3/8 = (2+3)/8 = 5/8

Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:

1 inch - (5/8 inch) = 15/8 inch

Therefore, it rained 15/8 inch the day before yesterday.

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Answer:

m=4

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

The shape on the right is 2/3 times smaller than the shape on the left.

This means multiplying the side lengths of the shape on the left by 2/3 will give you the side lengths of the shape on the right.

Take a look.

[tex]9 * \frac{2}{3} = 18/3 = 6[/tex]

[tex]6 *\frac{2}{3} = 12/3 = 4[/tex]

Therefore, the value of the missing side length, m, is 4.

Answer:

58

Step-by-step explanation:

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The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

The equivalent is the expression that is in different forms but is equal to the same value.

Simplify all the equations, then we have

A. 2 + x = 5, to simplify the equation, then we have

2 + x = 5

x = 3

B. x + 1 = 4, to simplify the equation, then we have

x + 1 = 4

x = 3

C. 9 + x = 6, to simplify the equation, then we have

9 + x = 6

x = - 3

D. x + (- 4) = 7, to simplify the equation, then we have

x - 4 = 7

x = 11

E. - 5 + x = - 2, to simplify the equation, then we have

- 5 + x = - 2

x = 3

The equations that are equivalent to each other will be 2 + x = 5, x + 1 = 4, and - 5 + x = - 2. Then the correct options are A, B, and E.

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Answer:

12/20 and 11/20.

Step-by-step explanation:

The least common denominator between 3/5 and 11/20 is 20.

For the first equation, we multiple the numerator and denominator by 4 and we get 12/20.

The second equation already has a denominator of 11/20 so we can leave it as is.

Answer:

x - 8 = 10

Step-by-step explanation:

The smallest number is 8 so it's subtracting 8. 10 is the difference between the two numbers because it's the answer.

The equation of the line will be y = -2/3x + 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line passes through points (9, -1) and (6, 1).

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 1 - (-1) / ( 6 - 9 )

Sloe = - 2 / 3

The y-intercept will be calculated as,

y = mx + c

-1 = (-2/3) x 9 + c

c = 5

The equation of the line,

y = mx + c

y = -2/3x + 5

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Answer:Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?

Step-by-step explanation:

Yes  sales representatives in Midwest and Northeast require more training

Although your question is incomplete attached below is the missing data related to your question

Given that the percentage of new stores in the Midwest and Northeast is below the 25% there will be need for an additional training for the sales representatives in these regions. while the percentage of new stores in the south is above 25% hence there won't be the need for additional sales representative training.

Percentage of new stores for after 1 month

Midwest =  ( 66 / 362 ) * 100 = 18.2%

South = ( 115 / 197 ) * 100 = 58.3%

North east = ( 60 / 250 ) * 100 = 24%

Hence we can conclude that to meet up the 25% sales orders from new stores in each region additional training is required for sales representative s in Midwest and North east only.

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Answer:

Step-by-step explanation:

Answer is choice A

Both functions are decreasing at a rate of -2. You can find this by finding the slope.

Answer:

Area of circle = 9π square unit

Step-by-step explanation:

Given:

Height of cylinder = 12 units

Base diameter of cylinder = 6 units

Find:

Area of base

Computation:

Base Radius of cylinder = Base diameter of cylinder / 2

Base Radius of cylinder = 6 / 2

Base Radius of cylinder = 3 unit

Area of circle = πr²

Area of circle = (π)(3)²

Area of circle = 9π square unit

Answer:

Option B, 9 pi square units.

Step-by-step explanation:

Answer:

What is the question???

Step-by-step explanation:

Answer:

16. 68

17. 97

18. 81

19. 96

20. 84.2

Step-by-step explanation:

A stem in a stem and leaf plot represents the tens place, and the leaf represents the ones place. The dat represented by the graph is the same exact as the numbers:

68, 75, 77, 79, 80, 82, 92, 96, 96, 97

Just by looking at the data, the minimum is 68 and the maximum is 97.

Next, to find the median, we can cross off the same amount of numbers from both sides until we are left with only two,:

68, 75, 77, 79,   80, 82,    92, 96, 96, 97

To find the median, we just find the mean of 80 and 82, which is 81.

The mode is the number that repeats the most, and that number is 96.

Lastly, to find the mean, we add up all the numbers and divide them by the amount of numbers:

(68 + 75 + 77 + 79 + 80 + 82 + 92 + 96 + 96 + 97) / 10

842 / 10

84.2 would be the mean.

Answer:

288 in.

Step-by-step explanation:

when it comes to finding the volume of a box you just multiply the width, length and height and you will get the volume

6 in. x 12 in. x 4 in. = 288 in.

Teo can fill 28 glasses in  4 2/3 pitches of juice.

Teo  has 4 2/3 pitches of juice.

First we write the improper fraction (mixed fraction) as a proper fraction.

4 2/3

= [(4 × 3) + 2] / 3

= (12 + 2) / 3

= 14/3

One glass holds 1/6 of a pitcher.

Let m number of glasses hold 14/3 pitches of juice.

By unitary method,

m × (1/6) =  14/3

To find the value of m we need to divide fractions.

m = (14/3) / (1/6)

m = (14/3) × (6/1)

m = 14 × 2

m = 28

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Answer:

x =−1−√93/23,−1+√93/23

Step-by-step explanation:

x=0.37581090…,−0.46276742...

Answer:

1.46

Step-by-step explanation:

We can represent this problem as an array of dots, where each dot represents 0.73 units.

⚫️ ⚫️

We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:

0.73 + 0.73

Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.

tenths           +  hundredths

(0.70 + 0.70) + (0.03 + 0.03)

1.40 + 0.06

1.46

Answer:

No, 8:2 = 4:1 which is less than 5:1

Step-by-step explanation:

Answer:

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[tex]8 : 2 \\ = \frac{8}{2} \\ = 4[/tex]

[tex]5 : 1 \\ = \frac{5}{1} \\ = 5[/tex]

8 : 2 = 4, while 5 : 1 = 5.

4 < 5.

•°• 8 : 2 is not greater than 5 : 1.

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The number of adults at the public pool that day is 284 and the number of children is 147.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Let x be the number of adults and y be the number of children who used the swimming pool.

Total number of people used the swimming pool = 431

x + y = 431

Daily price for adults = $2.00

Daily price for children = $1.50

Total amount for admission = $788.50

2x + 1.5y = 788.5

We got two linear equations here :

x + y = 431 and 2x + 1.5y = 788.5

x + y = 431 ⇒ x = 431 - y

Substituting this in second equation,

2(431 - y) + 1.5y = 788.5

862 - 2y + 1.5y = 788.5

-0.5y = -73.5

y = 147

x = 431 - 147 = 284

Hence the number of adults is 284 and the number of children is 147.

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Answer:

a = 22.5

Step-by-step explanation:

1.7a+0.3a=45

Add like terms

2a = 45

Divide by 2

2a/2 = 45/2

a = 22.5

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[tex]\maltese[/tex]1.7a+0.3a=45

[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]

Answer:

multiply the original price ($299) by the first markup percentage (150%)

299*1.50= $448.50

that is markup price!

then you have to do the sale % (25%)

so you'll multiply your (25%) by your new price ($448.50)

448.50*.25= $112. 125

then you will subtract the sale price ($112.125) by the upcharged price ($448.50)

448.50-112.125= 336. 375

= $336. 38(round off)

Answer:

Step-by-step explanation:

Nothing further can be done with this topic

So, your answer would have to be 2a+3d

Diana's savings will be 280 dollars after four weeks.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

300 - 5x

Where x represents the number of the week.

We have to determine Diana's savings after four weeks

As per the question, we have

⇒ 300 - 5x

Substitute the value of x = 4 in the above expression

⇒ 300 - 5(4)

⇒ 300 - 20

⇒ 280

This means her savings will be 280 dollars after four weeks.

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The question seems to be incomplete the correct question would be:

Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.

What is her savings after four weeks?

Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the left point in graph B is left 2 and up 1 from the line while the right point is right 2 and down 1 making them a reflection of each other.

Answer:

Only equation 1 and 2 are equal.

Step-by-step explanation:

2 (x + 4)2 = 2

2( x² + 8x+ 16) = 2               Applying the square formula

2x² + 16x+ 32 = 2

2x² + 16x+ 32 -2= 0

2x² + 16x+ 30 = 0

2( x² + 8x+ 15)= 0           Taking 2 as common

x2 + 8x + 15 = 0------------eq 1

x2 + 8x + 15 = 0-------------eq 2

(x − 5)2 = 1

x²-10x+25= 1             Applying the square formula

x²-10x+25- 1= 0

x²-10x+24= 0-------------eq 3

x2 − 10x + 26 = 0 -------------eq 4

3(x − 1)2 + 5 = 0

3( x²-2x+1)+5= 0               Applying the square formula

3x²-6x+3+5= 0

3x²-6x+ 8= 0-------------eq 5

3x2 − 6x + 8 =1

3x2 − 6x + 8 -1=0

3x2 − 6x + 7 =0-------------eq 6