To create their special blend of coffee, the owners of The Café, use 8 pounds of dark beans
that sell for $9.20 a pound and 12 pounds of light beans that sell for $5.50 a pound. Find the price
per pound of this special blend.

The position and label triangle on the coordinate plane is shown in figure.

And, The coordinates of ΔW X Y are W (-a, 0), Y (a, 0) and X (0, h).

Here,

Given that;

Isosceles ΔW X Y with height h and base WY with length 2a.

We have to draw position and label triangle on the coordinate plane.

What is Isosceles triangle?

A triangle that has at least two sides of equal length is called Isosceles triangle.

Now,

The position and label triangle on the coordinate plane is shown in figure

with isosceles triangle ΔW X Y with h and base WY with length 2a.

And, The coordinates of ΔW X Y are W (-a, 0), Y (a, 0) and X (0, h).

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The length from 3rd base to 1st base is 127.3 ft

The correct answer is an option (H)

In this question,

A baseball diamond is a square with 90 -ft sides.

A baseball "diamond" is a square, each side of length 90 ft, with home plate and the three bases on the four corners.

Let s be the side length of the square.

The length from the 3rd base to 1st base  is the diagonal of the square.

Using Pythagoras theorem, we formulate

diagonal = √(s² + s²)

diagonal = √(2s²)

diagonal = s√2

diagonal = (90)√2

diagonal = 127.28 ft

Therefore, the length from 3rd base to 1st base is 127.3 ft

The correct answer is an option (H)

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4/7 x 35/28 x 70/30 x 12/5 is 4

The probabilities of mutually exclusive events are always smaller than 1.

In statistics, what does a probability mean?

The probability of events that are mutually exclusive cannot ever be added up to greater than one.

Unless the same set of occurrences is also exhaustive, in which case the total of their probabilities is exactly 1, the probabilities of mutually exclusive events are always smaller than 1.

The likelihood that none of these occurrences, which are mutually exclusive, will occur is (1 - the sum of their probabilities).

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The solution when Izzie is trying to solve this inequality 3(t+1)−4t≥−5 is incorrect.

From the information, Izzie is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly.

3(t+1)−4t≥−5

3t + 3 - 4t ≥ -5

Collect like terms

3t - 4t ≥ −5 - 3

-t ≥ −8

Divide by -1

t <= 8

Therefore, the solution of Is lzzie is incorrect.

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Izzie is trying to solve this inequality. After she solves it, she shows it to you, and she asks you if she did it correctly. This is the work she completed:

3(t+1)−4t≥−5

Step 1: 3t +3−4t≥−5

Step 2: −t+3≥−5

Step 3: −t≥−8

Step 4: t≥8

Is Izzie correct?

Answer:3/77    

because 77/77 minus 48/77 is 29/77-17/77 is 12/77 minus-9(because I just added 3 and 6 so don't hey confused I just added them up) is 3/77 and thats your answer (3/77)

Step-by-step explanation:

The line which have a steeper slope is Line 1.

It is given in the question that the points on the line are given by:-

Line 1: (0,-4) and (2,2)

Line 2:(0,-4) and (4,5)

We have to find which line has a steeper slope.

First we will find the slope of each line.

We know that slope of a line with points (a,b) and (c,d) is given by:-

(d-b)/(c-a)

Slope of Line 1:

(2-(-4))/(2-0) = 6/2 = 3

Slope of Line 2:

(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25

We know that greater the slope of the line means greater the steep of the line.

As,

3 > 2.25

Hence, Line 1 is steeper than Line 2.

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The slope of the line that contains the  points R(2,-6), S(-6,5) is [tex]\frac{-11}{8}[/tex] .

Slope of a line containing two points (a,b) and (c,d) is denoted  by

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

In the given question

The points given are R(2,-6) and S(-6,5)

a=2, b= -6  and c= -6 and d=5

Substituting the values in formula of slope we get

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

Slope=[tex]\frac{5-(-6)}{-6-2}[/tex]

[tex]=\frac{5+6}{-8} \\ \\ =\frac{-11}{8}[/tex]

Therefore ,  the slope of the line that contains the  points R(2,-6), S(-6,5) is [tex]\frac{-11}{8}[/tex].

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Chantel will take approximately 12.19 hours to complete the triathlon with the given speed of his.

Total distance covered for the race is:

For swimming = 2.4 miles

Speed of Chantel in swimming = 1.2 miles per hour.

So, time taken for completing the swimming part = 2.4 / 1.2 = 2 hours.

For bike ride = 112 miles

Speed of Chantel in bike riding = 18.8 miles per hour

So, time taken for completing the bike riding part = 112 / 18.8 = 5.96 hours.

For running = 26.2 miles

Speed of Chantel in running = 6.2 miles per hour.

So, time taken for completing the running part = 26.2 / 6.2 = 4.23 hours.

Total time = 2 + 5.96 + 4.23 = 12.19 hours.

Therefore, Chantel will take approximately 12.19 hours to complete the triathlon with the given speed of his.

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The person who have gained 11 lb. of pure fat will gain 5,500 cm³ of volume.

It is given in the question that the person gains 11 lb. of pure fat.

We have to find the volume (in cm3 ) gained by the person.

We know that,

The density of fat is about 0.9 grams/ml

Converting this in pounds, we get :-

0.9 grams/ml * 1 lb. / 454 grams * 1 ml / 1 cm³= 0.002 lb./cm³

We know the formula of density:-

Density = mass / volume

Hence,

Volume = mass / density

Volume = 11 / 0.002

Volume = 5,500 cm³.

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Answer:  Part B

Step-by-step explanation:

A = 1.2857...

B = 1.3  

C = 1.15

D = 1.05

Cause yes

Answer:

0,0 represents the origin of the graph

Step-by-step explanation:

Do you understand if you don't understand the answer notify me

Yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).

Parallel lines:

Collinear points:

So,

Therefore, yes, all transformations such as translations, reflections, dilations, and rotations preserve parallel lines (parallelism) as well as collinear points (collinearity).

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Lateral area and surface area of candle is 52.8 inches² and 65.1 inches².

We are given the height and width of pillar candle. So, firstly writing the formula of lateral area and surface area of cylinder followed by calculation.

Lateral area of cylinder = 2πrh, where r stands for radius and h represents height.

Surface area of cylinder = 2πrh + 2πr²

Radius = diameter÷2

Radius = 2.8÷2

Radius = 1.4 inches

Keep the values in formula for calculation -

Lateral area of cylinder = 2×3.14×1.4×6

Lateral area of cylinder = 52.78 inches²

Surface area of cylinder = 2×3.14×1.4×6 + 2×3.14×1.4²

Surface area of cylinder = 65.09 inches²

Rounding off to nearest tenth-

Lateral area of cylinder = 52.8 inches²

Surface area of cylinder = 65.1 inches²

Hence, the lateral area and surface area of cylinder is 52.8 inches² and 65.1 inches².

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The two are similar, because: in both AP and GP, we can find the mean value using first and last values.

The two are different because: in both AP and GP, different methods are used to find the mean value.

Now,

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f (4) =  71 is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= 17 x+3

Put x = 4    ⇒  17 * 4 + 3

                ⇒  68 + 3

                ⇒  71

Therefore f (4) =  71

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Answer:- 3,2

Step-by-step explanation:

its hard to explain without a whiteboard feature

The greatest length, in inches, that she can make from the two pieces of ribbon is 6 inches

Find the factors of 30 and 48

The greatest common factor of 30 and 48 is 6

Therefore,

Ribbon A can be cut into = 30 / 6

= 5 pieces

Ribbon B = 48/6

= 8 pieces

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Answer:

a - ( 3,0 )

b - ( 6,-3 )

c - ( 2, -3 )

Step-by-step explanation:

Hope this helps! I added 6 to the x and subtracted 4 from the y to translate it to the new position

Nina originally had more than 105 songs on her MP3 player

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Initial song + songs added > Total songs

x + 15 > 120

x > 120 - 15

x > 105 song

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The given statement "A right solid has an axis that is also an altitude" is False. The Correct statement is "A right Cone has an axis that is also an altitude".

The altitude of the cone is the perpendicular segment from the vertex to the plane of the base. The length of the altitude is also the height of the cone. So we can say that A right Cone has an axis that is also an altitude.

A right solid have an axis that is also an altitude is the incorrect statement. So, the correct statement is that a right cone has an axis that is also an altitude.

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The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.

The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon. If you were to draw a line from any two adjacent vertices to the center, they would make the central angle. Because the polygon is regular, all central angles are equal. It does not matter which side you choose.

All central angles would add up to 360° (a full circle), so the measure of the central angle is 360 divided by the number of sides. Or, as a formula:

[tex]central \ angle = \frac{360}{n}[/tex] degrees

where n  is the number of sides

The measure of the central angle thus depends only on the number of sides. The angle depends only on the number of sides, not the size of the polygon. If you change the number of sides, you will see that as the number of sides gets larger, the cenral angle gets smaller.

Therefore, The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.

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The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.

The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon. If you were to draw a line from any two adjacent vertices to the center, they would make the central angle. Because the polygon is regular, all central angles are equal. It does not matter which side you choose.

All central angles would add up to 360° (a full circle), so the measure of the central angle is 360 divided by the number of sides. Or, as a formula:

midpoint = [tex]\frac{360}{9}[/tex]degrees

where n  is the number of sides

The measure of the central angle thus depends only on the number of sides. The angle depends only on the number of sides, not the size of the polygon. If you change the number of sides, you will see that as the number of sides gets larger, the cenral angle gets smaller.

Therefore, The central angle is the angle made at the center of the polygon by any two adjacent vertices of the polygon.

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Answer:

255

Step-by-step explanation:

[tex](4^4)-1 \\ \\ =256-1 \\ \\ =255[/tex]

Answer:

48 I think

Step-by-step explanation:

(6 divided by 3)= 2

2 cubed= 16

21 divided by 7= 3

3 times 16= 48

Answer:

Step-by-step explanation:

21 / 7(6/3)^3 + 1

= 21/7 * 2^3 + 1

= 3*8 + 1

= 25.