I need help on this i tried and it was wrong

The resulting expression using the distributive property of multiplication over subtraction is 3(12) - 3(10).

The distributive property of binary operations extends the distributive law, which states that in elementary algebra, equality is always true.

For instance, given the expression;

A(B - C)

We will have to distribute A over B and C to have;

A(B - C) = AB - AC

Applying the rule to the given expression

3 (12 - 10)

3(12) - 3(10)

This shows that the given expression can also be written as 3(12) - 3(10)

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Okay, here we have this:

Considering that twice an amount generally indicates taking two of the things in question; generally this indicates multiplying by 2.

This mean that if we have "twice a" when transferring it to an algebraic expression we obtain: 2a.

The formula for the area of a hexagon is

where 's' is the length of one side of the regular hexagon.

The side of our regular hexagon is 2 feet, therefore, its area is

The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

ΔRST

RS ≅ TR

∠ T = 15

∠ S = ?

Step 02:

We must apply the properties of isosceles triangles.

∠ T = ∠ S = 15

The answer is:

∠ S = 15 °

Step 1:

The initial cost of Initial Me = 50

The initial cost of Monogram Mania = 80

Step 2:

Both Initial Me and Monogram Mania cost the same for 10 T-shirts printed of 130

Step 3:

Monogram Mania charges less per T-shirt printed than Initial Me charges.

The average cost of Monogram Mania is less than that of Initial Me.

Final answer

Monogram Mania charges less per T-shirt printed than Initial Me charges.

Suplementary angle = 180° - angle 2

is Angle 1,

because Angle 2 + Angle 1 = 180°

Part 2. Vertical angles are

Angles 2 and 5

Answer:

Step by step explanation:

6, 22, 17

Step 1: writing the equation

We have a triangle with sides n, 4n - 2, and 4n - 7

We obtain its perimeter if we add all its sides:

n + 4n - 2 + 4n - 7

Since the perimeter is 45 cm, then:

n + 4n - 2 + 4n - 7 = 45

combining like terms:

n + 4n +4n = 9n

and

-2 - 7 = -9

then, we have:

n + 4n - 2 + 4n - 7 = 45

↓

9n - 9 = 45

Step 2: finding n

Now we solve the equation:

9n - 9 = 45

↓ taking -9 to the right

9n - 9 + 9 = 45 + 9

9n = 54

↓ taking 9 to the right

n = 54/9 = 6

Then, n = 6

Step 3: sides measure

Since the measure of the first side is given by n,

then its length is

n = 6

SInce the measure of the second side is given by 4n-2,

then its length is

4n - 2 = 4 · 6 - 2

= 24 - 2

= 22

SInce the measure of the third side is given by 4n - 7,

then its length is

4n - 7 = 4 ·6 - 7

= 24 - 7

= 17

That is why the measures are 6, 22 and 17.

Explanation:

The first thing we will do is to solve for x in the equation:

Using factorization method:

The factors are +22 and -3. This because the addition of this number will give you the coefficient of x (19) while the multiplication will give -66

Answer:

Step-by-step explanation:

To find the x-intercepts factor the function to the simplest form:

As we can see the zeros to the function would be 1 and -3, then its:

Zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Therefore, this function has multiplicity:

For the end behavior:

down/up

As x approaches infinity f(x) approaches infinity

As x approaches -infinity f(x) approaches -infinity

We expect the variable to have a negative correlation.

This means that the more we use the phone the lower the charge will be.

the coefficient is the number that accompanies the variable, so:

The coefficient is 7

5 quarters, 3 dimes, 7 nickels

Let the number of quarters in the jar = q

Let the number of dimes in the jar = d

Let the number of nickels in the jar = n

1 quarter = $0.25

1 dime = $0.1

1 nickel = $0.05

The jar is filled with quarters, dimes, and nickels, totaling $1.90

This can be represented mathematically as:

0.25q + 0.1d + 0.05n = 1.90.........(1)

There are two more quarters than dime:

q = d + 2..............(2)

There are two more nickels than quarters

n = q + 2..............(3)

make d the subject of the formula in equation (2)

d = q - 2............(4)

Substitute equations (3) and (4) into equation (1)

0.25q + 0.1(q - 2) + 0.05(q + 2) = 1.90

0.25q + 0.1q + 0.05q - 0.2 + 0.1 = 1.90

0.4q - 0.1 = 1.90

0.4q = 1.90 + 0.1

0.4q = 2.0

q = 2.0/0.4

q = 5

n = q + 2

n = 5 + 2

n = 7

d = q - 2

d = 5 - 2

d = 3

There are 5 quarters, 3 dimes, 7 nickels

The rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

Natural numbers are: 1, 2, 3, ..Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5). Irrational numbers are those real numbers which are not rational numbers.

We are asked to find that rational number between -1/3 and 1/-2.

LCM of 3 and 2

3 x 2 = 6

Then we get;

-1/3 x 6/6 = -6 / 18

1/-2 x 6/6 = -6/12

Hence, the rational number between -1/3 and 1/-2 could be;  -6 / 18, -6/12.

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The GCF of the expression 6x+18/x^2-x-12 is (x+3)

The GCF (Greatest Common Factor) of two or more numbers or expressions is the greatest number or expression among all the common factors of the given numbers or expressions

Given 6x+18/x²-x-12

We can write  6x+18/x²-x-12 as:

6x+18/x²-x-12 = 6x+18/x²-4x+3x-12          By factorization:

                       = 6(x+3) / (x+3)(x-4)

Since (x+3) is common to both the numerator and the denominator. Therefore, the greatest common factor (GCF)  is (x+3)

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1. The scholar made a mistake in the last step

where he said x=3.5

SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5

[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14

AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.

Given the equation of a line in Point-Slope Form:

You need to rewrite it in Slope-Intercept Form:

Where "m" is the slope of the line and "b" is the y-intercept.

Then, you have to solve for "y":

1. Apply the Distributive Property on the right side of the equation. Remember the Sign Rules for Multiplication:

Then:

2. Apply the Subtraction Property of Equality by subtracting 2 from both sides of the equation:

Hence, the answer is:

Answer:

D. 1/4

Explanation:

When the coordinates of A, B, and C are multiplying by 1/4 we get A', B', and C'.

For example,

The same goes for B and C.

Hence, the transformation that gives us A'B'C' from ABC is Choice D DIlation using k = 1/4.

Given a quadratic equation of the form:

The equation of the axis of symmetry is obtained using the formula:

From the given quadratic equation:

Therefore, the equation of the axis of symmetry of g(x) is:

The correct option is B.

Given:

Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal.

To find:

The horizontal distance she has covered.

Solution:

The figure showing the scenario is as follows:

Let the horizontal distance traveled be x meters.

The horizontal distance traveled can be obtained using the trigonometric function cosine.

In the figure,

Thus, the horizontal distance covered is 375.9 ft.

Thus, option B is correct.

Step 1:

Cost of large cup = $5

Step 2:

Number of large David orders = 10 cups

A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.

Jon order 4 fewer large cups

Therefore,

Jon order = 6 cups

Step 3:

A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.

The amount Jon spent on coffee = 6 x $5 = $30

Answer:

-12, -13, and -14

Explanation:

x, y, and z are the three consecutive numbers and they sum -39, so we can write the following equation

x + y + z = -39

Since these numbers are consecutives, we get

y = x + 1

z = x + 2

So, replacing these equation on the first one and solving for x, we get

x + y + z = -39

x + (x + 1) + (x + 2) = -39

x + x + 1 + x + 2 = -39

3x + 3 = -39

3x + 3 - 3 = -39 -3

3x = -42

3x/3 = -42/3

x = -14

Then, y and z are

y = -14 + 1 = -13

z = -14 + 2 = -12

Therefore, the consecutive numbers are

-12, -13, and -14

Mass=79gram

Volume=10ml

density=Mass/Volume

Let's use distributive property to simplify:

Now we add up the x's and take number to another side:

We make 2 and one-sixth into improper fraction and divide to get x:

x is "minus 210 over thirteen"

The given information is:

- 3 tablespoons of the concentrate should be mixed with 4 gallons of water.

The ratio of tablespoons to gallons of water is:

Then, we can apply proportions to find how many tablespoons of concentrate need to be mixed with 5 gallons of water, so:

It is needed 3.75 tablespoons of the concentrate.

The complete table using the given linear equation is x y

-4 -4

-2 0

0 4

2 8

A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.

The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation.

Given the linear equation y = 2x + 4

If x = -4

y =2(-4) + 4

y = -4

If x = -2

y =2(-2) + 4

y = 0

If x = 0

y =2(0) + 4

y = 4

If x = 2

y =2(2) + 4

y = 8

Hence the complete table using the function is

x y

-4 -4

-2 0

0 4

2 8

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Complete question

Fill in the table using this function rule. y=2x -4

x y

-4 ?

-2 ?

0 ?

2 ?

Answer:

320×10³

Step-by-step explanation:

This is the standard form for the number 320000

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Use a graph to find the length of DE if D(4, -3) and E(-5, -7) in pythagoras theorem.​

we know that

Applying the Pythagorean Theorem

DE^2=DEx^2+DEy^2

DEx -----> is the distance in the x-coordinate

DEy -----> is the distance in the y-coordinate

DEx=(-5-4)=-9 ------> subtract the x-coordinates

DEy=(-7+3)=-4 -----> subtract the y-coordinates

substitute in the formula

DE^2=(-9)^2+(-4)^2

DE^2=97

c^2=a^2+b^2

c -----> is the distance DE

a ----> horizontal leg

b ----> vertical leg

we have

a=(-5-4)=-9 ------> subtract the x-coordinates

b=(-7+3)=-4 -----> subtract the y-coordinates

substitute

c^2=(-9)^2+(-4)^2

c^2=97

The formula is

To solve for b, first, we multiply the equation by 2

Then, we divide the equation by h

At last, we subtract a from each side

Volume of a cylinder:

For cylinder A:

For cylinder B:

Simplify the equation for volumen of cylinder B:

in the equation for the volume of cylinder A you have the value of h*r^2*π: