Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points
(2, -1) and (10, 7).

y =
x+

The cost per pound of a house blend of coffee is $ 5 per pound.

What is the cost price?

The precise value that corresponds to the unit price paid is represented by the cost price. In some stock market theories, this value is utilized to establish the value of stock holdings and is used as a key determinant of profitability.

Here, we have

Weight of Central American coffee = 10 lb

Cost of Central American coffee = $7 per pound

Total value of Central American coffee = weight × cost = 10 ×7 = $ 70

Weight of South American coffee = 40 lb

Cost of South American coffee =  $ 4.50 per pound

Total value of Central American coffee = weight × cost = 40 ×4.50 = $ 180

Total weight of house blend coffee = Weight of Central American coffee + weight of South American coffee

= 10 +40 = 50 lb

The total value of house blend coffee = value of Central American coffee + value of South American coffee

= $ 70 + $ 180 = $ 250

Cost per pound of house blend coffee = ( total value of house blend coffee) / (total weight of house blend coffee)

= 250 / 50 = $ 5 per pound

Hence, the cost per pound of a house blend of coffee is $ 5 per pound.

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Answer:

It's 8

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

(3x-1)(3x-1)  =  9x^2 -3x -3x+1 = 9x^2 -6x +1

Answer:

The difference between the angle measure is 152 degrees

Step-by-step explanation:

Supplementary angles are angles that add up to 180

So if one angle is x in this case, the other will be 14x

Adding both ;

x + 14x = 180

15x = 180

x = 180/15

x = 12

The other angle is 14 * 12 = 168

The difference between the two will be;

168-12 = 156

Answer:

117 students, 8 adults

Step-by-step explanation:

Let's say a adults went and s students went.

Total cost for adults = 23 for each a = 23a

Total cost for each student = 16s

Number of adults and students = a + s = 125

Total cost = 23a + 16s = 2056

a + s = 125

23a + 16s = 2056

We can solve this by solving for a and then plugging that into the other equation, making it so that there is only one variable

subtract s from both sides in the first equation

a = 125 - s

plug that into the second equation

23(125 - s) + 16s = 2056

2875 - 23s + 16s = 2056

2875 - 7s = 2056

subtract 2875 from both sides to isolate s and its coefficient

-7s = -819

divide both sides by -7 to isolate s

s = 117

a = 125 - s = 125 - 117 = 8

Answer:

Answer:

Chaperones = 8 and Student = 117

Step-by-step explanation:

Let,

Chaperones = x

Student = y

x + y = 125

=> x = 125 - y (1)

23x + 16y = 2056

=> 23(125 - y) + 16y = 2056

=> 2875 - 23y + 16y = 2056

=> 2875 - 7y = 2056

=> 2875 - 2056 = 7y

=> 819 = 7y

=> 819/7 = y

=> 117 = y

From 1

=> x = 125 - 117

=> x = 8

Answer:

Gary worked 41 and a half hours

Step-by-step explanation:

$310.42 divided by $7.48 per hour = 41.5 hours

Answer:

0 > 5

Step-by-step explanation:

3a > 3a+5

-3a + 3a > 5

change of sign when 3a is moving across the = sign so > will change to <

0 >5  

Answer:

0 > 5

Step-by-step explanation:

3a > 3a+5

-3a + 3a > 5

change of sign when 3a is moving across the = sign so > will change to <

0 >5  

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The value of the angle 7 is 80 degrees. Option B

A transversal line can be defined as a line that intersects two or more lines at distinct points.

It is important to note that corresponding angles are equal.

Also, the sum of angles on straight line is equal to 180 degrees.

From the information given, we have that;

Angle 3 and angle 7 are corresponding angles

Also, we have that

Angle 3 and angle 4 are on a straight line

equate the angles

<3 + 100 = 180

collect the like terms

<3 = 180 - 100

<3 = 80 degrees

Then, the value of <7 is 80 degrees

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Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Direct variation equation relating s and t as: S = 0.5t and t=32 when s=16.

What is direct variation equation?

A direct variation equation is a mathematical equation that describes a relationship between two variables that varies proportionally. In other words, if one variable increases or decreases, the other variable also increases or decreases in proportion to it.

Given, S varies directly as t, and S = 8 when t = 16.

Let's find the constant of variation (k) using the given information:

k = S/t = 8/16 = 0.5

So, the constant of variation is 0.5.

Using the constant of variation, we can write a direct variation equation relating s and t as:

S = kt

Substituting k = 0.5 in the above equation, we get:

S = 0.5t

When S = 16, we can find t as follows:

16 = 0.5t

t = 16/0.5

t = 32

Therefore, when S = 16, t = 32.

Therefore, direct variation equation relating s and t as: S = 0.5t and t=32 when s=16.

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Answer: (7.6) = 3.8

Step-by-step explanation: Hope this helped!

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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An equation which can be used to model the total cost (y) for renting the cotton candy machine (x) hours is y = 18x.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneously.

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Translating the word problem into an equation, we have;

y = 72/4 × x

y = 18x

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79.65

I used a calculator

Answer:

THE ANSWER IS $79.65

Step-by-step explanation:

\($14.65 + $65.00 = $79.65\)

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

The number of ways to select 21 ice cream cones from 8 flavors is 0.

To find the number of ways to select 21 ice cream cones from 8 different flavors, we can use the concept of combinations.

We want to choose 21 cones out of 8 flavors, where order does not matter. This is a combination problem.

The formula for combinations is given by:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items to choose from, and r is the number of items we want to select.

In this case, we have n = 8 (number of flavors) and r = 21 (number of cones to select).

Using the combination formula, we can calculate the number of ways to select 21 ice cream cones from 8 flavors:

C(8, 21) = 8! / (21!(8 - 21)!)

However, since 21 is greater than 8, the combination is not possible. Selecting 21 cones from only 8 flavors is not feasible.

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The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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Answer:

d the expression with the fractions three fifths minus one half is equal to the expression with the fractions six tenths minus five tenths is equal to the fraction one tenth

Step-by-step explanation:

Chris requires three fifths liter of paint to complete a poster. He has one half liter of paint. Which equation can be used to find the fraction of a liter of paint Chris still needs to complete the poster?

The fraction of a liter Chris requires to complete his painting is given as:

3/5 liter = 1/2 liter + x

x = 3/5 - 1/2

Lowest Common Denominator = 10

x = 6 - 5/10

x = 1/10

option d is the correct option.( the expression with the fractions three fifths minus one half is equal to the expression with the fractions six tenths minus five tenths is equal to the fraction one tenth)

It is impossible to determine if 443 is a plausible value for the true average degree of polymerization.

The interval you mentioned might provide some information about the possible range of values for the true average degree of polymerization. However, it would depend on how the interval was calculated and what assumptions were made in the calculation.

In general, if the interval was calculated using a reliable and appropriate statistical method, and if the underlying data is representative and unbiased, then it is possible that 443 is a plausible value for the true average degree of polymerization. However, without more information about the context and the data, it is difficult to make any definitive conclusions.

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These the five sentence about the most important thing to learn about the software engineer career:

Software engineer is a branch of computer engineer science that mainly work to create, secure and manipulating a software. The career on this field mostly start from :

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The total number of permutations of the three tasks: 336 x 3! (3 factorial) = 40320

This question uses the combination and permutation theory. Combinations are used to calculate the total number of ways to assign the three tasks to the 8 people, and permutations are used to multiply the total number of ways to assign the three tasks by the total number of permutations of the three tasks.

given below :

1. Calculate the total number of ways to assign the three tasks to the 8 people: 8 x 7 x 6 = 336

2. Multiply the total number of ways to assign the three tasks by the total number of permutations of the three tasks: 336 x 3! (3 factorial) = 40320

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Answer:

Step-by-step explanation:

if the ant travels 980 every 5 minutes

980/5=196 inch/min

in 7 min

196*7=1372 inches

Answer:

A and D

explanation:

The other two answers looks like opinions

Answer:

D-87,100,000

Step-by-step explanation:

Move the decimal point from its position to the right 7 times because of the 7 indicated as the power.

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