En una tienda de conveniencia se venden 24 latas de refresco, con un costo de 240 pesos; si se venden 60 latas el costo es de 546 pesos.
Determina la ecuación que relaciona el costo con la cantidad de latas vendidas.
¿Cuál sería el costo si se venden 150 latas?

you just replace the letters so its going to be

f=5x- 2y                          with x=3  ,   y= -2

f=5·3 -2 (-2)

f=15+4=19

Answer:

f=19

Step-by-step explanation:

f=5x-2y

when X=3 & y= -2

or, f=5×3 - 2×(-2)

or,f=19

The the equation of a line that passes through the point (2, −10) and is parallel to 14x+2y=6 is 7x + y + 8 = 0.

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

The equation of a line parallel to a given line will have the same slope as the given.

The equation of a line having a slope m and passing through the point (x', y') is written as

y - y' = m (x - x').

This is called point - slope equation of a straight line.

In the given equation,

14x+2y=6

⇒ 2y = -14x + 6

⇒ y = -7x + 3

Comparing it with standard equation of a straight line; y = m x + c, the slope m of the given line = -7

Therefore equation of the line parallel to the given line and passing through point (x', y') = (2, -10) would be:

y - (-10) = -7x + 2

⇒ y + 10 = -7x + 2

⇒ 7x + y + 8 = 0

Hence the required equation of line 7x + y + 8 = 0

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a. The value of a is 5500. b. The value of r is 0.92. c. There are 2022 trees still alive till 1st October 2023.

The percentage is defined as a ratio expressed as a fraction of 100.

a) The value of a is 5500.

b) To find the value of r, we can use the equation N = ar where N is the number of trees still alive t years after 1st October 2018. We know that N = 5060 on 1 October 2019, so we can substitute these values into the equation:

5060 = 5500 r

r = 5060/5500

r = 0.92

c) To find the predicted percentage decrease in trees still alive between 1 October 2018 and 1 October 2030, we can use the equation:

\(N = ar^t\)

Here a = 5500, r = 0.92 and t = 12

We can now substitute the values, then we get

N = 5500 × (0.92)¹² ≈ 2021.67

N = 2022

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The two-column proof that arcs XZ = ZV should be completed with the statements and reasons as shown below.

In Mathematics and Geometry, an arc is a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In this context, we can logically proof that arc XZ is equal to arc ZV based on the following statements and reasons listed in this two-column proof:

Statement                                                                             Reasons___

m∠XOY = m∠WOV                                                                Given

mYZ = mYW                                                                           Given

m∠YOZ = m∠ZOW                                                           Central ∠s = arcs

m∠XOY + m∠YOZ = m∠WOV + m∠ZOW      Addition property of Equality

m∠XOZ = m∠ZOV                                radii of same circles are =

mXZ = mZV                               if arcs are equal then central angles are =  

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.                                                                      

If the raisin swells to twice its original size, relative to the water, the raisin must have been hypertonic solution.

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Answer:

D, 6500 increased by 1.4% is 6591 plus another 1.4% which is 6683 and for the last year you add another 1.4% to get the final answer which is D 6,776.84

Answer:

P- 6500

R-1.4%

T- 3yrs

I-?

I first find simple interest,

I=P×R×T÷100

=273

then you add your answer to the price(6500)

273+6500=6773

Answer:

where are you from

can you be my friend

I'm from Australia and you

Answer:

\(2x^{2} +20x+53\)

Step-by-step explanation:

2(x^2 + 10x + 25) + 3

2x^2 + 20x + 50 + 3

2x^2 + 20x + 53

Answer:

36.72

Step-by-step explanation:

if I'm wrong could you please tell me? good luck and if you have any other question you can ask me bye.

The total price including tax is $37.

Given that,

Based on the above information, the calculation is as follows:

\(= \$34 \times (1+ 0.08)\)

= $36.72

= $37

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Answer:

B

Step-by-step explanation:

An integer is any whole number (both positive and negative) and zero.

We cannot construct a square that equals the sum of the areas of two given squares. This statement contradicts the mathematical principles and properties of squares and the Pythagorean theorem.

The statement that given any two squares, we can construct a square that equals the sum of the two given squares is actually false. This statement goes against the well-known mathematical concept known as the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem holds true for right-angled triangles, but it does not hold true for squares.

In fact, if we take two squares and try to add their areas together, the result will not be a square with an area equal to the sum of the two given squares. The resulting shape will be a non-square rectangle or some other irregular shape.

Therefore, we cannot construct a square that equals the sum of the areas of two given squares. This statement contradicts the mathematical principles and properties of squares and the Pythagorean theorem.

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Answer:

Step-by-step explanation:

k/9=10/3 multiply both sides by 9

k=90/3

k=30

Answer:

Hello

\( \frac{10}{3} = \frac{k}{9} \\ 10 \times 9 = 3k \\3 k = 90 \\ k = 90 \div 3 \\ k = 30\)

hope it helps

Have a nice day

Answer:

1dm = 10cm

Simple as it is

Answer:

The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.

Step-by-step explanation:

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The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Answer:

Statistical

Step-by-step explanation:

You need to collect data to determine the answer of that.

Answer:

Yes

Step-by-step explanation:

"How many apps do my classmates have on their phones?" This is a statistical question because a statistical question has to be a question that can be used to collect data. If the question was something like "How many apps does Melissa have on her phone?" it would NOT be a statistical question because it is only asking about one specific person and you wouldn't be collecting data.

I wasn't really sure how to explain it but I hope it makes sense! :)

Using the conversion factors, we find that 3 cubic miles is approximately equal to 1.2504543 × 10^10 cubic meters. 5 cubic feet per second is equal to 2244.156 gallons per minute. 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.

1.1. One mile is equal to 1609.34 meters. Since we're dealing with cubic units, we cube the conversion factor.

1 mile = 1609.34 meters

1 mile³ = (1609.34 meters)³ = 4.168181 × 10^9 cubic meters

Therefore, 3 cubic miles is equal to 3 * 4.168181 × 10^9 cubic meters, which is approximately 1.2504543 × 10^10 cubic meters.

1.2. To convert from cubic feet per second (ft³/s) to gallons per minute (gal/min), we use the appropriate conversion factors.

Here are the conversion factors:

1 cubic foot = 7.48052 gallons

1 minute = 60 seconds

So, we set up the conversion as follows:

5 ft³/s * 7.48052 gal/ft³ * 60 s/min = 2244.156 gal/min

Therefore, 5 cubic feet per second is equal to 2244.156 gallons per minute.

1.3. To convert centimeters (cm) to nanometers per second squared (nm/sec²), we use the appropriate conversion factors. Here are the conversion factors:

1 centimeter = 10^7 nanometers

1 second = 1 second

So, we set up the conversion as follows:

9.50 cm * (10^7 nm/cm) / (1 sec)² = 9.50 * 10^7 nm/sec²

Therefore, 9.50 centimeters is equal to 9.50 * 10^7 nanometers per second squared.

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Using a trigonometric relation we can see that the measure of R is 65.38°

Here we have a right triangle where we know the lengths of all the sides, to get the angle R we can use a trigonometric relation like:

sin(R) = (opposite cathetus)/hypotenuse

Where:

opposite cathetus = 20

hypotenuse = 22

Replacing that we get:

sin(R) = 20/22

Using the Asin function in both sides we get:

R = Asin(20/22) = 65.38°

That is the measure of the angle.

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Data types provide the information to the runtime about how much space is required in the memory. Datatypes helps to allocate memory. In OOPs bases programming languages it also helps to decide where memory should be allocated like heap and stack memory.

Data types allow a compiler to allocate the right memory space for a variable, and also let it perform type checking, marking sure the program uses the variables correctly per their defined type.

A data type is an attribute associated with a piece of data that tells a computer system how to interrupt its value. Understanding the data types ensures that data is collected in the preferred format and the value of each property is as expected.

Choosing the right data types for your tables, stored procedures, and variables not only improves performance by ensuring a correct execution plan, but it also improves data integrity by ensuring that the correct data is stored within a database.

Data type and length are the most fundamental integrity constraints applied to data in a database. Simply by specifying the data type for each column when a table is created, DB2 automatically ensures that only the correct type of data is stored in that column. Processes that attempt to insert or update the data to a non-conforming value will be rejected. Furthermore, a maximum length is assigned to the column to prohibit larger values from being stored in the table.

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Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

The volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

A cylindrical drinking glass has radius 3 cm and height 8 cm.

The volume of a cylinder is 2πr²h

= 2 (3.14) 3² x 8

= 452.16cm³

The jug contains 1.5 litres of water

1 litre = 1000cm³

1.5 litre = 1500cm³

The volume of glass if it is filled upto a horizontal line 2 cm from the top.

volume =  2πr²h

= 2 (3.14) 3² x 6

= 339.12cm³

Number of glasses filled = 1500/339.12 = 4.42

4 glasses can be filled up to the line from the jug

Therefore, the volume of the glass is 454.16cm² and the number of glasses filled upto a horizontal line of 2 cm from top is 4

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Answer:

(-1, -4)

Step-by-step explanation:

To find the missing endpoint, we can multiply the midpoint coordinates by 2, so we can get 4 and 2. Then we can subtract the coordinates from the endpoint we have, which is A, to those numbers.

4-5 is -1

2-6 is -4

Put them together and we get (-1, -4) as our endpoint B.

Answer:

Step-by-step explanation:

(5+x)/2=2, (6+y)/2=1

for the x value

5+x=4

x=-1

then for the y value

6+y=2

y=-4

then your answer would be (-1,-4)

Answer: A

Step-by-step explanation:

Each gallon costs 3 dollars.

8(gallons) times $3(for each gallon) = 24(dollars).

Requried, we can be 95% confident that the true mean time spent by someone in the shower is between 5.172 and 7.227 minutes.

Sample mean (X) = 6.2 minutes

Sample standard deviation (s) = 1.7 minutes

Sample size (n) = 13

Confidence level = 95%

Since the sample size is less than 30, we will use the t-distribution for calculating the confidence interval.

First, we need to find the t-value for a 95% confidence level with 12 degrees of freedom (n-1).

From the t-distribution table, we find the t-value to be 2.179.

Calculate the margin of error (E) using the formula:

E = t×value × (s/√n)

E = 2.179 × (1.7/√13)

E = 1.027

The confidence interval by adding and subtracting the margin of error from the sample mean:

CI = (X - E, X + E)

CI = (6.2 - 1.182, 6.2 + 1.182)

CI = (5.172, 7.227)

Thus, we can be 95% confident that the true mean time spent by someone in the shower is between 5.172 and 7.227 minutes.

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Geraldine receives $14,730.

Geraldine's Stafford student loan is for $15,000, but she must pay a loan fee of 1.8%.

To determine the amount of money she will actually receive, we need to subtract the loan fee from the total loan amount.

First, let's calculate the loan fee.

To find 1.8% of $15,000, we can multiply the loan amount by 0.018 (which is the decimal representation of 1.8%).

Loan fee = $15,000 \(\times\) 0.018 = $270

Now, we subtract the loan fee from the total loan amount:

Amount received = Total loan amount - Loan fee

Amount received = $15,000 - $270 = $14,730

Therefore, Geraldine will receive $14,730 from the Stafford student loan. It's important to note that the loan fee is deducted upfront, so the actual amount disbursed to the student is reduced by that fee.

This ensures that the lender receives a portion of the loan upfront to cover administrative costs and mitigate potential risk.

The remaining amount is what the student receives to use for educational expenses or other approved purposes.

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The associative property of addition states that when adding numbers, the order can be reversed.

The associative property of addition says that changing the grouping of the addends does not change the sum.

For example -

Therefore, the given option (c) is correct.

The number of red balls Luke has at the start is 47.

blue ball per day = 2

red ball per day = -3 ('-' ve sign as he is loosing them)

let the number of red balls be represented by r

let the number of blue balls be represented by b

after 5 days

b+ 10 = r -15 -(i)

After 9 days

b + 18 =2(r-27)-(ii)

subtracting (i) from (ii)

b + 18 - b - 10 = 2r - r - 54 +15

8 = r - 39

r = 39 + 8

r = 47

The number of red balls Luke has at the start is 47

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Answer: The answer is 17.4

Step-by-step explanation:

55/63 is already in its simplified form.

To simplify 55/63, we can divide both the numerator and denominator by their greatest common factor (GCF). To find the GCF of 55 and 63, we can use prime factorization:

55 = 5 × 11

63 = 3 × 3 × 7

The common factors of 55 and 63 are 1, so the GCF is 1. We can divide both the numerator and denominator by 1:

55/1/63/1

Therefore, 55/63 in simplest form is 55/63.

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Wi represents the weight of the course, and xi represents the grade received for that course.

Care must be taken when assigning variables to weights and observations, because the average grade point average (GPA) is the average grade received for each hour of coursework taken.

Therefore, each grade must be weighed against the number of credits for that course.

For example, if two courses are worth 3 credits and one course is worth 6 credits, then the GPA would be calculated by adding the three grades together and then dividing by the sum of the credits (3+3+6=12).

In this case, a grade of A in the 6 credit course would have a greater impact on the GPA than the same grade in the 3 credit course.

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