Please help I’ll mark you as brainliest if correct!!!

The value of each letter in the given magic square is a = 30, b = 6 , c = 18 and d = 4.

A magic square is one that has several different integers placed in such a way that the sum or total of the numbers is the same on all of the diagonals, as well as in every row, column, and major diagonal.

Given:

A magic square where all rows, columns, and diagonals sum to the same number.

Sum of the numbers in the diagonal of the magic square,

5 + 17 + 29 = 51

In the first row, the sum of numbers will also be 51

5 + a + 16 = 51

a = 51 - 21 = 30

Similarly, the sum in the first column

5 +  28 + c = 51

c = 51 - 33 = 18

And the sum in the last row,

c + d + 29 = 51

Putting the value of c, we get

18 + d + 29 = 51

d = 51 - 47 = 4

Now to find the value of b the sum of the last column,

16 + b + 29 = 51

b = 51 - 45 = 6

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IT MEANS THAT THE X COORDINATE CHANGED BY -4

[tex]x = 6 - 4 \\ x = 2[/tex]

THE NEW COORDINATE OF X IS 2

AND THE Y COORDINATE CHANGED BY +7

[tex]y = - 2 + 7 \\ y = 5[/tex]

THE NEW COORDINATE OF Y IS 5

(2,5)

ATTACHED IS THE SOLUTION

ANSWER

EXPLANATION

e have a 32 ounce bottle of weed killer concerntrate.

The directions say to mix 2 1/2 ounces of weed killer to water to make a gallon.

To find out how many gallons we will b able to make, we have to divide the total amount of the weed killer by the amount it takes to make one gallon.

That is:

They can make 12.8 (approximately 13) gallons of the weed killer.

Given:

Required:

To find the inverse of the given function.

Explanation:

Consider

Rewrite f(x) as y,

Swap x and y,

Solve for y, we get

Final Answer:

The inverse of the given function is

By using basic algebra we get x = 0 and x =[tex]\frac{-26}{9}[/tex]

Algebra is a branch of mathematics that helps translate real-world situations or problems into mathematical truths. Mathematical operations like addition, subtraction, multiplication, and division are needed in addition to variables like x, y, and z to construct a meaningful mathematical expression. All branches of mathematics, such as calculus, trigonometry, and coordinate geometry, employ algebra. A fundamental algebraic equation is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations such as addition, subtraction, multiplication, division, etc. are done on variables and constants.

2x(3x-4)-3x(5x+6)

[tex]6x^{2} -8 -15x^{2} -18x\\-9x^{2} -26x = 0\\9x^{2} +26x = 0\\x(9x +26)=0\\x = 0\\ x = \frac{-26}{9}[/tex]

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Answer:

-7ab-4a+4

Step-by-step explanation:

simplify the expression

hope this helped

have a great day ^^

Answer: 7

Step-by-step explanation:

y = 180 - (17x+13) = 167 - 17x

As sum of the angles of a triangle is 180, we get that (4x+7) + 97 + 167 - 17x = 180

-13x + 271 = 180

-13x = -91

x = 7

The value of x= 1.2 and the value of y = -1.6

Given two equations

[tex]4x-2y=8[/tex]

[tex]3x+y=2[/tex]

Since there are two equations and two unknowns we can solve the equations by arithmetical methods.

Initially multiply second equation by 2 and add it it to first equation.

[tex]3x+2y=2[/tex] × 2

[tex]6x+2y=4[/tex]

Now adding this to equation 1

[tex]4x-2y=8 + 6x+2y=4[/tex]

[tex]10x=12[/tex]

[tex]x=1.2[/tex]

To get y value substitute x value in any of the equation

[tex]4(1.2)-2y=8[/tex]

[tex]-2y = 3.2[/tex]

[tex]y = -1.6[/tex]

Therefore x and y values are 1.2 and [tex]-1.6[/tex] respectively.

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The statement that best describes the graph of a proportional relationship with paired points is: A. A straight line can be drawn through all the points, and the line passes through the point (0, 0).

A graph that represents a proportional relationship between two variables can be described as a graph that connects all the given points and goes through the point of origin, (0, 0).

A proportional relationship graph is also a straight line graph. Every point in the relationship are located on the line.

An example of a graph that represents a proportional relationship between two variables is the graph given in the diagram above.

As you can observe, all points are connected by a straight line and it passes through the point of origin, (0, 0).

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Let x and y be the number of hours Ryan works on each job respectively. He can work no more that 10 hours a week, it means that the sum of x and y must be less than or equal to 10:

He also need to earn at least $72 a week, which means that the sum of 9 times x and 18 times y must be greater than or equal to 72:

The system of inequalities is:

To graph these inequalities, we have to graph the boundary lines which are x+y=10 and 9x+18y=72, and then shade the region depending on the inequality. For the first inequality which is a less than or equal to, the shaded region must be under the boundary line (which is a continuous line) and for the second one, the shaded region must be above the boundary line (which is also continous).

In this case we only can take the solutions that have positive values of x and y, since Ryan can't work a negative number of hours. For example, one combination that will allow Ryan reach his goal is 5 hours as babysitter and 5 hours at the coffee shop.

The area of ​​a triangle is given by the formula:

From the information given you know that the measure of the height of the triangle EFG is 16 cm but the measure of the base of the triangle is unknown.

To find the measure of the base, you can first find the measure of the middle of the segment EG using the Pythagorean theorem, since the triangle formed by the vertices F, G, and EG/2 form a right triangle. Graphically,

The formula of the Pythagorean Theorem is

So, you have

Then, the measure of the segment EG, that is, the measure of the base of the triangle EFG is

Finally, the area of triangle EFG will be

Therefore, the area of the triangle EFG is 192 square centimeters.

The loan from National bank will have lower interest over its lifetime.

Interest is the additional payment made by a borrower or deposit-taking financial institution to a lender or depositor at a predetermined rate over and above the principal sum (the amount borrowed).

The principal or the amount to be taken loan is $7000.

Let us consider each bank and find the interest to be owed from the loan.

Stevension trust :

Rate = 8.6% = 0.086

time = 8 years

Interest = principal × time × rate = 7000 × 8 × 0.086 = $ 4816

First national bank :

Rate = 10% = 0.1

Time = 5 years

Interest = 7000 × 5 × 0.1 = $3500

Hence the loan from national bank will have lower interest over its lifetime.

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The solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

The inequalities are 3(x + 3)–2 < 4 or 1– x ≤ –1

The inequality shows the relationship between two values in an algebraic expression, the relationship are greater than or equal to, greater than, less than and less than or equal to.

The first inequality 3(x + 3) – 2 < 4

3(x + 3)–2 < 4

3x+9-2 < 4

3x+7 < 4

3x < 4-7

3x < -3

x < -1

The second inequality 1-x ≤ -1

-x ≤ -2

x ≥ 2

Plot the inequalities on the number line

Hence, the solution of the inequality 3(x + 3)–2 < 4 or 1– x ≤ –1 has been plotted on the number line

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The graph of the line passing through the points (-1,-2) with the slope 6/5 has been plotted

The line passing through the points = (-1,-2)

The slope of the line = 6/5

The slope of the line the change in y coordinates with respect to change in x coordinates of the line

We know

Point  slope form [tex](y-y_{1})=m(x-x_{1})[/tex]

Where m is the slope of the line

Substitute the values in the equation

(y-(-2))= 6/5(x-(-1))

y+2 =  6/5(x+1)

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

y = (6/5)x+(6/5)-2

y = (6/5)x+(-4/5)

Draw the graph

Hence, the graph of the line passing through the points (-1,-2) with the slope 6/5 has been plotted

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The correct answer is commutative property of addition.

What is commutative property?

In mathematics, the commutative property states that the sum of the expression does not change by changing the order or position of the numbers. Basically, changing the order does not change the sum.

According to the question, the given equation for the property of identity is as follows: 4 + 5 = 5 + 4

For this equation, the commutative identity property of addition which states that:  a + b = b + a

Therefore, using this property, the given equation can be written as:

4 + 5 = 5 + 4

Hence, the correct answer is commutative property of addition.

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According to the given data we have the following:

Length of side a=100 ft

Lenght of side b=140 ft

Height of side h=40 ft

In order to calculate the area of this trapezoid we would have to make the following calculation:

area of this trapezoid=(a + b)/2)h

area of this trapezoid=(100+140)/2)40

area of this trapezoid=120*40

area of this trapezoid=4,800

An inequality that represents all possible combinations of x shirts and y pants is (12.99x + 15.99y) ≤ 125.

Given:

Cost of each shirt = $12.99

Cost of each pant = $15.99

Let's assume the number of shirts is x and the number of pants is y.

Total cost of x shirts = $12.99x

Total cost of y pants = $15.99y

Total cost = $(12.99x+15.99y).

Now, she does not want to spend more than $125 which means she can spend equal to or less than 125 dollars.

An inequality that represents all possible combinations of x shirts and y pants is,

(12.99x + 15.99y) ≤ 125

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Answer:

Second option $0.2

Step-by-step explanation:

First we can convert 3/8 pounds to oz

since 16oz is in 1 pound

so 3/8 pound will be

3/8*16=6 oz

Then to find unit price per oz

we just take the total cost $1.20 divide by 6

$1.20/6=$0.2

Answer:

Step-by-step explanation:

The probability of winning the lottery is 6.16*10^(-7).

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Answer:

Most linear systems you will encounter will have exactly one solution. However, it is possible that there are no solutions, or infinitely many. (It is not possible that there are exactly two solutions

The amount of interest to be paid by Destiny on the $1600 loan at 6% rate for 3 years is $288.00.

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formula calculating simple interest is expressed as;

I = P × r × t

Where P is principal, r is rate and t is time.

Given the data in the question;

First, convert the rate from percent to decimal.

Rate r = 6%

Rate r = 6/100
Rate r = 0.06

Now plug the values into the formula and solve for I

I = P × r × t

I = $1,600 × 0.06 × 3

Interest I = $288.00

Therefore, the interest accumulated by Destiny is $288.00.

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The probability is 6/70.

What is probability ?

probability is concerning about numerical description  is how likely is an event is occur or how likely it is true.

Sol-

way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the

Thus,

probability is 6/70 which is equal toe open toe eight 57.

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Based on the given quantities, the quantity that is directly proportional is B) speed and time if the distance traveled is 110 miles.

Two quantities are said to be proportional if the increase or decrease between the two quantities is constant. For instance, if a single unit in one will always lead to the same increase in the other quantity.

When people are travelling at a constant 77 mph then it means that for every hour(time) that passes, the distance would increase by 77 miles. The distance and time here are therefore proportional.

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Answer:

Divide them by 100 or use fraction

4 terms.

1) Terms of an expression denotes the constant terms, and the constant ones (numbers).

2) As we can see all the variables are different so we can tell these terms can't combine with any other one.

3) And therefore, we can tell that this expression has 4 terms.

Answer:

With the restrictions that 0 or 8 cannot be the leading digit, the leading digit can be one of [1, 2, 3, 4, 5, 6, 7, 9] = 8 choices.

The other six digits can be one of [1, 2, 3, 4, 5, 6, 7, 8, 9, 0] = 10 choices each.

Therefore, there are:

8*10*10*10*10*10*10 = 8*10^6 = 8,000,000 7-digit numbers under the given restrictions.

Step-by-step explanation:

hope this helps

Here, we want to evaluate the given equation

Looking at what is given, the operations performed on both sides are different

The reason is because we have addition on one side and division on the other side

By the addition property of equality, we are supposed to have the same operation performed on both sides

Since it is different, then the two are not equal

Answer:

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where

a

=

7

and

b

=

3

x

.

(

7

+

3

x

)

(

7

−

3

x

)

Step-by-step explanation: