You leave your ranch in South Texas to drive your cattle to the railroad in Abilene, Kansas. You have 2,000 head of cattle and 10 cowboys (not including you.) Along the trail, you are attacked by some cattle rustlers, the herd stampedes during a thunderstorm, and you have trouble finding water. As a result, when you get to Abilene, you have lost 10% of the herd. You sell the cattle in Abilene for $35 a head. You pay each of the cowboys $100 and the rest of the money is yours. How much did you make?

Answer:

Step-by-step explanation:

Cost = $500

Tax = 9.5%

Total amount spent =

5 x 9.5

= 47.5 + 500

= $547.5

Answer:

Supplementary Angles, because according to definition: Supplementary angles are the pair of angles that add to 180º.

Answer:

adjacent, supplementary

Step-by-step explanation:

The angles have one common side but no common interior points, so they are adjacent angles.

Also, they form a linear pair whose measures has a sum of 180 degrees, so they are supplementary angles.

Answer:10

Step-by-step explanation:

if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15

After buying 15 videos, you can purchase 10 songs with your $60 credit. Each video costs $3.00 and each song $1.50. After buying the 15 videos for $45, you have $15 left for songs.

The subject matter of this question falls under Mathematics, specifically operations involving money and elementary algebra. This kind of problem is typically encountered by middle school students, hence the grade level.

In order to answer the question, here's a step by step solution: First, we need to know the cost of downloading a video. Since each download of a video costs 2 times as much as the song download, and the song download costs $1.50, then the video download costs 2 * $1.50 = $3.00. If you plan to buy 15 videos, the total cost would be 15 videos * $3.00/video = $45.00.

Subtracting this amount from your $60 credit, you'll have $60 - $45 = $15 left. Given that the cost of a song download is $1.50, you can therefore purchase $15 / $1.50/song = 10 songs.

So, after buying 15 videos, you can still purchase 10 songs with your $60 credit.

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Answer:

D. The scuba diver was 35 meters below the surface when she started her ascent

Answer:

D) The scuba diver was 35 meters below the surface when she started her ascent

Step-by-step explanation:

It's not A, it looks like it at first but then if you follow through you'll see that it's not the case

Answer:

Step-by-step explanation:

Markup price= 15% of 500

[tex]=\frac{15}{100}*500\\\\=15*5\\[/tex]

= $ 75

Selling price = 500 + 75 = $ 575.00

(a-b)(7x-3y)

_________________

Answer:

y= -1\2x-4

Step-by-step explanation:

y=mx+c

perpinicular means you flip the slop and change the sign so the slope(m) become -1\2

y=-1\2x+c

since he gives you (8,-8) meaning x=8 and y= -8

we substitute

-8=(-1\2 x 8) +c

now we isolate c

-8+4=c

c=-4

the equation will be

y= -1\2x-4

Answer: 5 m

Step-by-step explanation:

height x base = area

4x=20

x=20÷4

x=5

base= 5m

Answer:

The band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Step-by-step explanation:

First we have to see how far each of the groups are from completing their goal.

For chorus, we get 2620-1225=1395 dollars.

For band, we get 2400-1314=1086 dollars.

Now, we see how long it takes for them to get to their goals.

For chorus, we get 1395/25 = 55.8. because they can't sell 0.8 of a set of candles, it round up to 56 candles.

For band, we get 1086/18.25 ≈ 59.5. because they can't sell half of a 3 gallon tubs of caramel popcorn, they have to sell 60.

So, when both of the funraisers meet their goals, the band needs to sell 4 more items from their fundrasier than the chorus needs to sell for their fundraiser.

Answer:

Pastel and faster than

Step-by-step explanation:

The Patel family’s car had the greater initial resale value. During the first six years, the resale value of the Rivera family’s car decreases at an average rate faster than the resale value of the Patel family’s car.

Patel

faster than

Answer:

The answer is D

Answer:

6cm

Step-by-step explanation:

To break down the steps back to radius, the formula is placed reversely in [tex]\pi r^{2}[/tex]

Since 36 is without pie, square root is needed.

[tex]\sqrt{36}[/tex]=6

Therefore, 6 cm is the radius.

Answer:

Step-by-step explanation:

hello :

the area is : A=πr²    r :  the radius

36π = πr²   means : r²=36      so : r= 6

Answer:

14.1 in³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.  Here the radius (r) is half the diameter, that is, half of 3 inches, or 1.5 inches.

Thus, the volume of the ball / sphere is V = (4/3)π(1.5 inches)³.  Find (1.5 inches)³ on a calculator (it is 3.375 inches³).  Then multiply this result by (4/3)π:

V = (4π/3)(3.375 inches³) = 14.1 in³

Final answer:

To find the number of cubic units the tennis ball occupies, calculate its volume using the formula V = (4/3) * π * r^3, where r is the radius. The tennis ball occupies approximately 0.157 cubic feet of space.

Explanation:

To find the number of cubic units the tennis ball occupies, we need to calculate its volume. The volume of a sphere can be found using the formula V = (4/3) * π * r^3, where r is the radius. The diameter of the tennis ball is 3 inches, so the radius is half of that, or 1.5 inches. Converting to the nearest tenth, we have a radius of 1.5 inches = 0.15 feet.

Substituting this value into the volume formula, we get V = (4/3) * π * (0.15)^3 = (4/3) * π * 0.0375 = 0.157 cubic feet. Therefore, the tennis ball occupies approximately 0.157 cubic feet of space.

Answer: $4,848.51

Step-by-step explanation:

A P E X

Answer:4848.51

Step-by-step explanation:

Answer:

B) 15.6

Step-by-step explanation:

Pythagorean thm:  [tex]a^{2} +b^{2} =c^{2} \\[/tex]

Substitute each of the lengths for the legs like so:

[tex]10^{2} +12^{2} = c^{2}[/tex]

then expand the exponent and you will get c= 15.62

Answer:

x=3

Step-by-step explanation:

6(4x+1) = 78

Distribute

24x+6 = 78

Subtract 6 from each side

24x +6-6 =78-6

24x = 72

Divide each side by 24

24x/24 = 72/24

x =3

Answer:

x = 3

Step-by-step explanation:

6 (4x + 1) = 78

4x + 1 = 78 ÷ 6

4x + 1 = 13

4x = 13 - 1

4x = 12

x = 3

The correct answer is D

since 3.2222... is a repeating number, it is rational

0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational

1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( [tex]\frac{1589}{1000}[/tex] )

Answer:

Step-by-step explanation:

sub 3x+20 into x²+2x

3x+20=x²+2x

x²-x-20

=(x-5)(x+4)

x=5,-4

Plus x values into y=3x+20

When x=5

y=33

When x=-4

y=8

when x=5 y=33

and when x=-4 y=8

Hope it helps!!

Add the top and bottom together, divide by 2, then multiply by the height:

Area = (7.5 + 2.5)/2 x 2.5

Area = 10/2 x 2.5

Area = 5 x 2.5

Area = 12.5 square units.

Answer:

7/3

Step-by-step explanation:

fb - fa / b - a

which is b=3,a=0

Given:

Given that O is the center of the circle.

AB is tangent to the circle.

The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°

We need to determine the measure of ∠ABO.

Measure of ∠ABO:

The measure of ∠ABO can be determined using the triangle sum property.

Applying the property, we have;

[tex]\angle ABO+\angle BAO+\angle AOB=180^{\circ}[/tex]

Substituting the values, we get;

[tex]\angle ABO+90^{\circ}+68^{\circ}=180^{\circ}[/tex]

Adding the values, we have;

[tex]\angle ABO+158^{\circ}=180^{\circ}[/tex]

Subtracting both sides by 158, we get;

[tex]\angle ABO=22^{\circ}[/tex]

Thus, the measure of ∠ABO is 22°

Answer:

1380 miles

Step-by-step explanation:

Answer:

What is the interquartile range of the scores? 30

Step-by-step explanation:

Give a known data point from the box plot that represents a striking deviation in the data. 65

Answer:

What is the interquartile range of the scores?

30

Give a known data point from the box plot that represents a striking deviation in the data.

-20

Step-by-step explanation:

Answer:

Area = Length * Width

38 1/4 = L * 4 1/2

L = (38 1/4)/(4 1/2) = (153/4)/(9/2) = (153 * 2)/(4 * 9) = 17 1/2

Step-by-step explanation:

Answer:

90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume is found by base area times height (B*h).

6/2 = 3

3^2 = 9

B: 9pi

9pi*1- = 90pi [tex]in^{3}[/tex] or about 282.74 [tex]in^{3}[/tex]

Answer:

282.6 in³

Step-by-step explanation:

Radius = 6/2 = 3

Volume = pi × r² × h

3.14 × 3² × 10

282.6 in³

The equation for a vertical line passing through (-6,6) is x = -6. However, this line cannot be represented by a formula for a linear function in the form y = mx + b, as a vertical line has an undefined slope.

A vertical line in a coordinate plane, such as the one passing through point (-6,6), has an equation format of x = c where c represents a constant value. In this particular case, as the line passes through the x-coordinate of -6, the equation of the vertical line is x = -6.

As for creating a formula for a linear function whose graph is this given line, that is not possible. Linear functions can be represented by the slope-intercept form "y = mx + b" where m represents the slope and b is the y-intercept. However, a vertical line does not have a slope (it is considered undefined or infinite), and therefore can't be represented as a linear function in this form.

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Answer:

Subtract 12 from the product of 5 and 3, then multiply by 8.

Explanation:

This is the only answer that accurately describes the given expression.

I hope this helps! ☺

The statement that describes the expression ( 5 x 3 - 12 ) x 8 is:

Subtract 12 from the product of 5 and 3, then multiply by 8.

Given,

( 5 x 3 - 12 ) x 8

We need to find the best statement that describes this expression.

Let A and B be any numbers.

Subtract:

= A - B

Multiply:

= A x B

Product:

= A x B

Difference:

= A - B

Find the statement that describes ( 5 x 3 - 12 ) x 8.

We have,

5 x 3 = 15

This is the product of 5 and 3.

5 x 3 - 12

This is the subtraction of 12 from the product of 5 and 3.

Or

The difference between the product of 5 and 3 and  12

(5 x 3 - 12 ) x 8

This is subtract 12 from the product of 5 and 3, then multiplying by 8.

Thus the statement that describes the expression ( 5 x 3 - 12 ) x 8 is:

Subtract 12 from the product of 5 and 3, then multiply by 8.

Learn more about how to write a statement that describes an expression here:

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so the right answer is (x+4) and (x-1).

Look at the attached picture⤴

Hope it will help u...