What Is the result of adding these two equations

6x+2y =-2
3х – 2y = - 5

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

The number of oranges Heidi needs for her orange juice is 9 oranges

Number of 2 fl oz of orange needed = Large cup of orange juice ÷ 2 fl oz to cup

= 2 1/4 ÷ 1/4

= 9/4 ÷ 1/4

= 9/4 × 4/1

= 9 oranges

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

The value of complex number is \(ab^{2}\) = 36+18i

What is complex number?

The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a+ib, where a = real number and ib = imaginary number.

The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers.

Given,

a = 4+2i

b = 3

\(b^{2}\) = 3(3)

= 9

Hence, the value of

\(ab^{2}\) = (4+2i)9

=36+ 18i

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The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer:

I just know something that answer is 156

Answer:

Graph D

Step-by-step explanation:

the bottom right graph represents the function  y=-(x-2)²+3. I put it in a graphing calculator soo

The horizontal shift is to the right.

The exact period is 8/7.

In a trigonometric function, written of the form

y = A csc (Bx - C)

the parameters are interpreted as follows

A is the amplitude

B is period / 2π

C is the horizontal shift

comparing with the equation y = 2 csc (7π/4x - 21π/2). we have that

horizontal shift = -21π/2 since it is positive it is to the right

The exact period is

Period = 2π / (7π/4)

= 8/7

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According to Naomi's Quilt Shoppe's contribution margin income statement, she had a net income of $12,176 for the month of February.

For the month of February, Naomi's Quilt Shoppe's contribution margin income statement is as follows:

Revenue from Sales: 95 x $490 = 46,550

Cost of Goods Sold: 95 x $290 = $27,550

Gross profit: $27,550 - $46,550 = $19,000.

Variable expenses :

Revenue Commission: 8% × $46,550 = $3,724

Costs for all variables: $3,724

Contribution Margin: $19,000 - $3,724 = $15,276

Fixed expenses :

Rent: $1,300

Cost of payroll: $1,800

Total Fixed Costs: $3,100

Net Income: $15,276 - $3,100 = $12,176

Therefore, According to Naomi's Quilt Shoppe's contribution margin income statement, she had a net income of $12,176 for the month of February.

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The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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Answer:

The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.

The circumference of the vat is 18 feet * 3.14 = 56.52 feet.

The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.

Answer:

B) -2 degrees

Step-by-step explanation:

If the temperature went down 10 degrees the equation you need to use is 8-10=x.

Once simplified/solved you will get -2

-2

In the morning it was 8 degrees celsius, and in the night it was 10 degrees lower. You are trying to find a number that's 10 degrees lower than 8. So you would do:

8-10

That would result in -2

Answer:

This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.

The time taken to make an amount of $255.45 is 9.75 hours

From the table, we have the following representations:

x=Time

y = Earnings

Using a point from the table, we have

x = 3 and y = 78.60

Express as ratio

This gives

x : y = 3 : 78.60

When the earning is $255.45, we have

x : 255.45 = 3 : 78.60

Express as fraction

x/255.45 = 3/78.60

So, we have

x = 255.45 * 3/78.60

Evaluate

x = 9.75

Hence, it will take 9.75 hours

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Answer:

(5,11)

Step-by-step explanation:

c= 6+s

c=6+5

c=11

(5,11)

Hope this helps! :)

Answer:  B.  (5,11)

Step-by-step explanation:

c  = 6 + 1s          In this case we know that c is your total cost and s is the number of downloaded songs.

If we were to do it in terms of x and y, y will be c, and x will be s.

Now is asking for the cost of 5 songs, so you will input the value 5 into the equation for s and solve for c.

c = 6 + 1(5)

c = 6 + 5

c = 11

Now we know that for 5 songs it will cost you $11, and if x is the same as the number of songs, and y is the total cost then we can say that the point will be,

(5,11)

The number of jerseys that the senior class at Legion Academy can purchase for $430, using quadratic equation, is 190.

Quadratic equation is an algebraic equation of the second degree in x, represented in the form of ax²+bx+c=0.

In the quadratic equation, a, b, and c are known values but a ≠ 0 and x is unknown.

x = [-b ± √b² - 4ac]/2a

when ax^2 + bx + c = 0

C = 0 .1x² + 2.4x + 25, where C is the amount, it costs to buy x jerseys.

Simplifying the equation, we get:

x = 0.2 − 2.4 ± 40.4​

The two possible values of x are:

1) x = 0.2 − 2.4 + 40.4​ = 190

or

2) x = 0.2 − 2.4 − 40.4 ​= −214

The value of x cannot be negative, therefore, the class bought 190 jerseys for $430.

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Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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The measurements in the given triangle ABC are A=64°, B=26°,

C=90°, a=7.4, b=3.61, c=8.23

An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. These are referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can likewise be used to establish an angle between two intersecting curves.

Given,

In ΔABC, A=64°, a=7.4

From the figure we know that C=90°, as the given figure is a right triangle.

As we already know that,

Angles sum in a triangle=180°

A+B+C=180°

64°+B+90°=180°

B=180°-154°

B=26°

By using sine rule,

a/SinA =b/SinB=c/Sinc

7.4/Sin 64°=b/Sin 26°=c/ Sin 90°

b=7.4Sin26°/Sin 64°

b=3.61

c=7.4 Sin 90°/Sin 64°

c=8.23

Therefore, the measurements in the given ΔABC are A=64°, B=26°,

C=90°, a=7.4, b=3.61, c=8.23

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Answer:

3880 ÷ 960 = 4.041

ratio = 4:1

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

Answer:

7/0

Step-by-step explanation:

This is because if a number is divided by 0 then there is no answer or it is undefined

Think of it like this,

You have 7 apples and wanted to give it to zero friends, is it possible?

Hope this helped :)

Answer:

Second option (7÷0)

Explanation:

Dividing by zero is considered undefined since you can't divide something by nothing. It's like saying you have a pizza and you want to divide it between 7 people but since you're dividing by zero, you're not splitting the pizza between anyone.

Answer:

angle E equals angle B and angle D equals angle a which means they are parallel bc angle c is the same for both

Step-by-step explanation:

Answer:

42 square inches.

Step-by-step explanation:

The formula for area is Length x Width

7 x 6 = 42

Then add the units to be specific, and you get:

42 square inches

Answer:

\(P(X=2) = 0.1047\)

Step-by-step explanation:

Represent the probability of hitting the target with H.

So:

\(H = \frac{1}{8}\)

Represent the probability of not hitting the target with T.

So:

\(T = 1 - H\)

\(T =1 - \frac{1}{8}\)

\(T =\frac{7}{8}\)

Required

Probability of exactly 2 hits in 5 tries

This probability is a binomial probability and will be calculated using:

\(P(X=x) = ^nC_x H^xT^{n-x}\)

In this case:

\(x = 2\) i.e 2 hits

\(n = 5\) i.e. 5 attempts

So, we have:

\(P(X=2) = ^5C_2 H^2T^{5-2}\)

\(P(X=2) = ^5C_2 H^2T^3\)

Apply combination formula:

\(P(X=2) = \frac{5!}{(5-2)!2!} H^2T^3\)

\(P(X=2) = \frac{5!}{3!2!} H^2T^3\)

\(P(X=2) = \frac{5*4*3!}{3!2*1} H^2T^3\)

\(P(X=2) = \frac{5*4}{2} H^2T^3\)

\(P(X=2) = 10* H^2T^3\)

Substitute values for H and T

\(P(X=2) = 10* (\frac{1}{8})^2(\frac{7}{8})^3\)

\(P(X=2) = 10* \frac{1}{64}*\frac{343}{512}\)

\(P(X=2) = \frac{3430}{32768}\)

\(P(X=2) = 0.1047\)

Hence, the probability of 2 hits in 5 tries is 0.1047

Answer:

6/49

Step-by-step explanation:

-2 times -3 is 6, and 7 times 7 is 49. therefore, the answer is 6/49.

Answer: $9

Step-by-step explanation: The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur. The term of the loan is the time for which it has been granted.

Answer:

The answer to your problem is, She spend more talking to her friend then her mother

Step-by-step explanation:

The question asking:

What fraction of the minutes did Emilia spend talking to either her mom or her best friend?

So we can see that she talks to her friend instead of her mother shown;

\(\frac{1}{12} < \frac{5}{12}\)

The total equals to \(\frac{6}{12} or\frac{1}{2}\)

So, She spend more talking to her friend then her mother

Thus the answer to your problem is, She spend more talking to her friend then her mother