Is (3, 1) a solution to this system of equations?

3x + 3y = 12
12x + y = 13

Yes or no

Answer:

The slope is 6

Step-by-step explanation:

The rise is 6 and the run is 1. 6/1

The equations to solve are x + y = 100 and 15x + 20y = 1650. Solving these equations gives x = 70 and y = 30. Therefore, 70 type A masks and 30 type B masks were sold in April 2020.

To find the number of masks of each type sold in the month of April, we can set up a system of equations based on the given information.

Let's assume that 'x' represents the number of type A masks sold and 'y' represents the number of type B masks sold.

From the given information, we know that the cost of a type A mask is Rs. 15 and the cost of a type B mask is Rs. 20. The total sales for 100 masks is Rs. 1650.

So, we can write the following equations:

x + y = 100 (Equation 1: Total number of masks sold is 100)

15x + 20y = 1650 (Equation 2: Total sales amount is Rs. 1650)

To solve this system of equations, we can use the substitution method. Rearrange Equation 1 to solve for x:

x = 100 - y

Substitute this value of x into Equation 2:

15(100 - y) + 20y = 1650

Expanding the equation:

1500 - 15y + 20y = 1650

Combine like terms:

5y = 150

Simplifying:

y = 30

Substitute this value of y back into Equation 1 to find x:

x + 30 = 100

x = 100 - 30

x = 70

Therefore, 70 type A masks and 30 type B masks were sold in the month of April.

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Answer:

n = - 8

Step-by-step explanation:

Given

3.2 = - 0.4n ( isolate n by dividing both sides by - 0.4 )

\(\frac{3.2}{-0.4}\) = n , that is

n = - 8

The value of n would be equal to -8.

Noted that equation is an expression that shows the relationship between two or more numbers and variables.

To determine the value of n in equation 3.2 = -0.4n, we will solve for n by isolating it on one side of the equation.

Divide both sides of the equation by -0.4 to isolate n:

3.2 / -0.4

= -0.4n / -0.4

This simplifies to:

-8 = n

Therefore, the value of n is -8.

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Appropriate hypotheses for performing a significance test: Null hypothesis: The mean weight of loaves of bread produced at the bakery is equal to 1 pound. Alternative hypothesis: The mean weight of loaves of bread produced at the bakery is less than 1 pound.

Parameter of interest: The mean weight of loaves of bread produced at the bakery.b. There is some evidence for the alternative hypothesis since the p-value is 0.00806, which is less than the level of significance of 0.01. This means that the results are statistically significant, and it is unlikely to get this result due to chance alone.c. At the α level of 0.01, the conclusion would be to reject the null hypothesis since the p-value is less than the level of significance.

This means that there is sufficient evidence to support the alternative hypothesis, which is that the mean weight of loaves of bread produced at the bakery is less than 1 pound. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

Maclaurin series for the given function f(x) = 2cos(\(x^7\)):

\(f(x) = 2 - (x^{14})/1! + (x^{28})/2! - (x^{42})/3! + ...\)

This series represents an approximation of the function f(x) using a polynomial expansion centered at x = 0. Each term in the series represents the contribution of a specific power of x to the overall behavior of the function. By including more terms in the series, a more accurate approximation of the function can be obtained.

The Maclaurin series for the function f(x) = 2cos(\(x^7\)), we can expand the function using the Maclaurin series for cos(x).

The Maclaurin series for cos(x) is:

cos(x) = 1 - (x²)/2! + (\(x^4\))/4! - (\(x^6\))/6! + ...

To incorporate the exponent of 7 in f(x) = 2cos(\(x^7\)), we substitute (\(x^7\)) in place of x in the Maclaurin series for cos(x):

\(cos(x^7) = 1 - [(x^7)^2]/2! + [(x^7)^4]/4! - [(x^7)^6]/6! + ...\)

\(cos(x^7) = 1 - (x^14)/2! + (x^28)/4! - (x^42)/6! + ...\)

We multiply the entire series by 2 to obtain the Maclaurin series for f(x) = 2cos(\(x^7\)):

f(x) = 2cos(\(x^7\)) = 2 - (\(x^{14\))/1! + (\(x^{28\))/2! - (\(x^{42\))/3! + ...

The Maclaurin series for f(x) = 2cos(\(x^7\)) is given by the terms of the expanded series.

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y = (5/3)^x

For x= 0 , y = 1

For x=1,. y= 5/3

For x=2. y = 25/9= 2 + 7/9

For x= 3. y= (25/9)•5/3 = 10/3 + 35/27

For x= 4. y= (10/3 + 35/27)•5/3= 50/9 + 175/81= 625/81

For x= 5 y = (625/81)•5/3= 3125/243

For x=6. y= 15625/243 = 64 + 73/243

For x=7. y=78125/729 = 107+ 122/729

For x=8. y= 390625/2187= 178+ 1339/2187

NOW Part 2 Drawing it

Answer:

a

Step-by-step explanation:

the graph would continue on both sides; no asymptote

Range is set of y values

And it tends to -infinity with increase in x .

So

RAnge

Option D

The given table represents the counts from three independent random samples taken from three major cities regarding whether teenagers consumed a soft drink in the past week.

By summing up the counts of teenagers who consumed a soft drink from all three cities and dividing it by the total number of teenagers surveyed, we can calculate the overall proportion. Dividing this proportion by the total number of teenagers and multiplying by 100 will give us the percentage of teenagers who consumed a soft drink.

For example, if the first city had a count of 150 teenagers who consumed a soft drink out of a total of 300 surveyed, the second city had 200 out of 400, and the third city had 180 out of 350, the overall proportion would be (150 + 200 + 180) / (300 + 400 + 350) = 530 / 1050. Multiplying this by 100, we find that approximately 50.48% of teenagers consumed a soft drink in the past week based on the combined sample.

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A research center conducted a national survey about teenage behavior. Teens were asked whether they had consumed a soft drink in the past week. The following table shows the counts for three independent random samples from major cities. Baltimore Yes 727 Detroit 1,232 431 1,663 San Diego 1,482 798 2,280 Total 3,441 1,406 4,847 No 177 904 Total (a) Suppose one teen is randomly selected from each city's sample. A researcher claims that the likelihood of selecting a teen from Baltimore who consumed a soft drink in the past week is less than the likelihood of selecting a teen from either one of the other cities who consumed a soft drink in the past week because Baltimore has the least number of teens who consumed a soft drink. Is the researcher's claim correct? Explain your answer. (b) Consider the values in the table. (i) Baltimore Detroit San Diego 0 0.1 0.9 1.0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Relative Frequency of Response (ii) Which city had the smallest proportion of teens who consumed a soft drink in the previous week? Determine the value of the proportion. (c) Consider the inference procedure that is appropriate for investigating whether there is a difference among the three cities in the proportion of all teens who consumed a soft drink in the past week. (i) Identify the appropriate inference procedure. (ii) Identify the hypotheses of the test.

Answer:4/3 or 1.33 lbs

Step-by-step explanation:

The area of the window is 49 10/12 square feet, which can be simplified to 49 5/6 square feet. The answer is (B) 49 5/6 ft2.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

The width of the window is 8 2/3 feet and the height is 5 3/4 feet. To find the area, we can simply multiply these two values:

Area = width × height

Area = (8 2/3 feet) × (5 3/4 feet)

First, we need to convert the mixed numbers to improper fractions:

8 2/3 = (8 × 3 + 2)/3 = 26/3

5 3/4 = (5 × 4 + 3)/4 = 23/4

Now, we can multiply the fractions:

Area = (26/3 feet) × (23/4 feet)

Area = (26 × 23)/(3 × 4) square feet

Area = 598/12 square feet

To simplify the mixed number, we can divide the numerator by the denominator:

598 ÷ 12 = 49 10/12

Therefore, the area of the window is 49 10/12 square feet, which can be simplified to 49 5/6 square feet. The answer is (B) 49 5/6 ft2.

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Answer: 52-80

Step-by-step explanation:

Answer:

52-80

Step-by-step explanation:

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

Answer:

A: Every time it goes up 2 bushels, it goes up 16 dollars.

B: 4 dollars. 16 - 12 = 4

Step-by-step explanation:

Part A: 7 dollars  

- The graph shows that 2 bushels is 14 dollars,  because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and  rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five  To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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The amount of sales tax on Finnegan's purchase is $5.94

The first step is to calculate the total amount of purchase

Sweater- $29.50

Jeans- $42.50

Total amount

29.50 + 42.50

= 72

The sales tax rate is 8.25%

The amount of sales tax on the purchase can be calculated as follows

8.25/100 × 72

= 0.0825 × 72

= 5.94

Hence the sales tax on the total purchase is $5.94

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Answer: No if you said that the ratio is the same like 1=1 but yes if you mean that the ratio is the same as before

Step-by-step explanation:

If you said that the ratio must be the same than is a no cause since 21 and 35 is not equal with each other so if you add an same number up it remain the same

If you mean that the ratio is the same as if it was not added 5 to both side than is a yes, you add both side an equal number and it would stay the same

Answer:yeah

Step-by-step explanation:

yeah

543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

Pre-algebra is a common name for a course in middle school mathematics. In the United States, pre-algebra is usually taught in the 6th grade or 7th grade. The objective of it is to prepare students for the study of algebra. The major math strands for 8th grade curriculum are number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Solving real world problems with rational numbers (including integers, decimals and fractions).

Step-by-step explanation:

Answer:

Theres a ot of stuff but I recommend that you prepare on quadratics, functions, and equations. You can get these things on the symbolab calculator that is sooo helpful. Or you can watch khan on your computer, both help. Hope this helped

Step-by-step explanation:

Answer:

$195

Step-by-step explanation:

40% represents £130

40% : $130

100% : total

To find total:

($130 / 40) x 100 = $325 is the total

If $130 spent:

$325 - $130 = $195 is the amount left

Answer:

\(Domain:\) x∈R

\(Range:\) y ≤ 6

So, Option B) is your answer

------------------------------------------

hope it helps...

have a great day!!

You must select 1,096 teenagers to ensure that 4 of them were born on the exact same date.

To ensure that 4 teenagers were born on the exact same date (mm/dd/yyyy), you must consider the total possible birthdates in a non-leap year, which is 365 days.

By using the Pigeonhole Principle, you would need to select 3+1=4 teenagers for each day, plus 1 additional teenager to guarantee that at least one group of 4 shares the same birthdate.

Therefore, you must select 3×365 + 1 = 1,096 teenagers to ensure that 4 of them were born on the exact same date.

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Answer:

Step-by-step explanation:

area of garden = 38 m²

width = 4 m

find Length

area = L x W

38 = L (4)

L = 38 / 4

L = 9.5 m

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

Answer:

4 gigabytes

Step-by-step explanation:

$55-$35 =$20

Under $55 = less than (<) $55

According to given question we have,

$35 + $5 × g < 55

35 + 5g < 55

compare like terms and simplify we get,

5g < 55 - 35

5g < 20

g < 20/5

g < 4 gigabytes

Inequality: 5x + 35 <50

Answer: x < 3

A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.

Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.

Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.

Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.

Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.

In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.

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Answer:

5

Step-by-step explanation:

Both answers equal 25.

Step-by-step explanation:

check the pic. I just sent

the answer is $1500

The originally invested price will be;

⇒ $1,500

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Money is invested in a saving account at 12% simple interest.

And, After  one year there is $1680 in the account.

Now,

Let the original invested amount = x

So, We can formulate;

⇒ x + 12% of x = 1680

⇒ x + 12x/100 = 1680

⇒ 112x = 1680 × 100

⇒ 112x = 1,68,000

⇒ x = 1,68,000/112

⇒ x = $1,500

Thus, The original invested amount = $1,500

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The area of the circle will be 3.14 feet .

Find the area of a circle with a diameter of 2 feet. Use 3.14 for π.

★Given,

→ Diameter = 2 feet

→ Circumference = 2/2 = 1 feet

★Now,

→Area of a circle = πr²

→ = 3.14 × 1 × 1

→ = 3.14 feet

Hence , the circumference is 3.14 feet.