What is the coefficient in the algebraic expression: -x + 3

Answer:

Hotdogs: $12

Buns: $6

Altogether (Hotdogs plus Buns): $18

Step-by-step explanation:

She wants 48 hot dogs, and each package contains 8 hotdogs.

48/8 = 6

She'd have to buy 6 packages

6 packages x $2 each = $12

She'd be spending $12 on the hotdogs

She'd also have to get an equivalent amount of buns

Each bag has 12 buns. She needs 48 buns.

48 buns /12 per bag = 4 bags

She would need to buy 4 bags of buns

$1.50 per bag x 4 bags = $6

She'd be spending $6 on buns

Adding the amount she spends on both the buns and hotdogs, she spends $18

Answer:

Step-by-step explanation:

Under a dilation, the point (2, 6) is moved to (6, 18). the scale factor of the dilation is 3

We know that if we transform point (x,y) by using dilation with scale factor k then the coordinate of the image will be (kx,ky).

Given: under a dilation, the point (2, 6) is moved to (6, 18)

Here (x,y)=(2,6) and (kx,ky)=(6,18)

x = 2

kx = 6

k = 6/x

k = 6/2

k = 3

Similarly taking y into account

y = 6

ky = 18

k = 18/y

k = 18/6

k = 3

Hence, Under a dilation, the point (2, 6) is moved to (6, 18). the scale factor of the dilation is 3

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The measure of the interior angle adjacent to the sixth exterior angle of the heaxagon is 118°.

Interior angles are those that lie inside a polygon.

To calculate an interior angle of a hexagon, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Recall that, the sum of an interior and exterior angle is 180°

Where:

Substitute the value of a into equation 2

Hence, the value of the interior angle is 118°.

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Answer:

no

Step-by-step explanation:

\frac{1}{6}f^3a=

6

1

​

\frac{1}{6}f^3a=

6

1

​

f

3

a=

\,\,D

D

Answer:

Step-by-step explanation:

put the day and the amount of money you made

Answer:

  $951.74

Step-by-step explanation:

You want the future value of $750 earning 3% per year for 8 years, compounded semi-annually.

The value of an account earning interest at rate r on principal P compounded n times per year for t years is ...

  A = P(1 +r/n)^(nt)

For P=750, r=0.03, n=2, t=8, this is ...

  A = 750(1 +0.03/2)^(2·8) = 750(1.015^16) ≈ 951.74

The account will be worth about $951.74 in 8 years.

__

Additional comment

All spreadsheets and many graphing calculators have the necessary financial functions for computing this value. Apps are available for the purpose, as well.

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Answer: 0.06 repeated, I'm sorry if it's wrong! I used a calculator.

Step-by-step explanation:

Calculating 2 divided by 5 / 6 should give you the answer 0.06666666666.

[tex]\frac{5}{3}[/tex]The point on the number line to plot the point which is opposite [tex]\frac{5}{3}[/tex] is [tex]\frac{-5}{3}[/tex]

A number line is a horizontal representation of a number of parts with equal intervals.

What exactly is a number line?

A number line is a horizontal line with evenly spaced numerical increments. It shows how to answer plotted the number on the line.

If two numbers are the same distance from 0 and on opposite sides of the number line, they are opposites.

For example, 4 is the inverse of -4, and -4 is the inverse of 4. They are both equal distances from zero.

Given: number is [tex]\frac{5}{3}[/tex]

The opposite of 5/3 is the additive inverse let x be the additive inverse

[tex]\frac{5}{3}[/tex] + x = 0

x = 0 - [tex]\frac{5}{3}[/tex]

x= - [tex]\frac{5}{3}[/tex]

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The statement about the changing features of the family that is not true of todays Commonwealth Caribbean societies is C. parents are becoming more autocratic.

It should be noted that nowadays, men and women choose their own partners, husband and wives usually treat each other as equals and generally, families have fewer children

While role changes are often difficult, many positive things can occur as a result. Families may learn to work better together and support one another. Learning new tasks can help children gain confidence. Families may discover that, despite the changes, life can still be enjoyable.

In conclusion, the correct option is C.

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For corporation p to file a consolidated tax return with corporation s, p must own 80% of s's voting stock

The consolidated tax return is defined as a single income tax return filed by an affiliated group of corporations that combines their tax liability.

The percentage is the ratio that can be represented as the fraction of hundred.

The voting stock is defined as the shares that give the stockholder, that is the right to vote on the policymaking of the corporation

Here, p must own 80% of s's voting stock

Hence, for corporation p to file a consolidated tax return with corporation s, p must own 80% of s's voting stock

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Triangle xyz was translated up 2 and right 3 units, creating triangle cab.

To find out the relationship between the parts of the two triangles must be true:

YZ ≅ AB

A translation is known as a rigid transformation.  This is because it preserves congruence.  Since CAB is created from XYZ, this tells us that:

X corresponds to C; Y corresponds to A; Z corresponds to B; XY corresponds to CA; YZ corresponds to AB; and XZ corresponds to CB.

Since the triangles are congruent, the corresponding pieces are congruent as well.

Out of these corresponding congruent pieces of triangles, the only one in our options is YZ ≅ AB.

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Answer:

Step-by-step explanation:

The proportional relationship is:

Let's find the value of k for each pair and compare:

As we see thee of the pairs have same value of k, 5/3 and one is different 7/4.

The answer is no.

Answer choices given in the comment:

The radical expression 2√2 + 3√5 cannot be simplified

From the question, we have the following parameters that can be used in our computation:

2√2 + 3√5

The above expression is a radical expression

The radicals in the expression are √2 and √5

The numbers 2 and 5 do not have common factors

This means that 5 cannot be expressed in terms of 2, and vice versa

So, we cannot simplify the given expression 2√2 + 3√5

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A matrix is a form of writing items in rows and columns.

The matrice B is

[tex]B=\left[\begin{array}{ccc}9&-6\\12&15\\-3&-18\end{array}\right][/tex]

The value of [tex]b_{11}[/tex] = 9

The value of [tex]b_{22}[/tex] = 15

The value of [tex]b_{31}[/tex] = -3

The value of [tex]b_{32}[/tex] = -18

A matrix is a form of writing items in rows and columns.

[tex]\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\a_{31}&a_{32}&a_{33}\end{array}\right][/tex]

We have,

[tex]A=\left[\begin{array}{ccc}3&-2\\4&5\\-1&-6\end{array}\right][/tex]

B = 3A

We will multiply 3 with all the items in matrices A.

[tex]B=\left[\begin{array}{ccc}9&-6\\12&15\\-3&-18\end{array}\right][/tex]

This is in the form of

[tex]B=\left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\\b_{31}&b_{32}\end{array}\right][/tex]

Now,

The value of [tex]b_{11}[/tex] = 9

The value of [tex]b_{22}[/tex] = 15

The value of [tex]b_{31}[/tex] = -3

The value of [tex]b_{32}[/tex] = -18

Thus,

The matrice B is

[tex]B=\left[\begin{array}{ccc}9&-6\\12&15\\-3&-18\end{array}\right][/tex]

This is in the form of

[tex]B=\left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\\b_{31}&b_{32}\end{array}\right][/tex]

The value of [tex]b_{11}[/tex] = 9

The value of [tex]b_{22}[/tex] = 15

The value of [tex]b_{31}[/tex] = -3

The value of [tex]b_{32}[/tex] = -18

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Answer:

Step-by-step explanation:

k=x÷y

Multiply both sides of the equation by y.

ky=x

Swap sides so that all variable terms are on the left-hand side.

x=ky

Answer:n1=-9,n2=10

Step-by-step explanation:

The value of x is (5t-a) when the formula is 6x+a=5(x+t).

According to the question,

We have the following information:

6x+a=5(x+t)

Now, from this formula, we have to mark the value of x or in other words, we have to find the value of x.

Now, multiplying 5 into the bracket on the right hand side:

6x+a = 5x+5t

Subtracting 5x from both sides of the equation:

6x-5x+a = 5t

x+a = 5t

Subtracting a from both sides of the equation, we will get the final value of x in terms of t and a:

x = 5t-a

Hence, the value of x is (5t-a) when the formula is 6x+a=5(x+t).

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When you cube root a number, the answer is always smaller. This is true.

The cube root, denoted by, is the inverse of the cube of a number. For example, 216, or the cube root of 216, equals 6 because multiplying 6 three times yields 216. In other words, because 6³ = 216.

A number's cube root is a value that, when multiplied by itself three times, yields the original value. For example, the cube root of 27 is 3, denoted as 3³ because multiplying 3 by itself three times yields 3 x 3 x 3 = 27.

In this case, we have showed that the answer will be smaller than the original number.

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Answer:

The value of k is 1.

Step-by-step explanation:

Answer:

The value of k=1

Step-by-step explanation:

The measure of  ∠x is 190°

Define Exterior angle

In the given diagram, all angles marked is an exterior angle

And, we know sum of exterior angle is 360°

So, now just equate the given values to 360 degree

x + 60 + 110 = 360

x + 170 = 360

x = 360 - 170

x = 190°

Hence, the measure of ∠x is 190°

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The quotient of the division is 2x² - x - 11 and 0 is the remainder.

Given,

The expression; 2x³ + x² - 10x -11 ÷ x + 1

We have to find the quotient and remainder

One of the arithmetic operations carried out on two given polynomials is to divide them. In this, the divisor is typically a polynomial of lower degree than the dividend.

Lets solve ;

2x³ + x² - 10x -11 / x + 1   (2x²)

= -x² - 10x - 11 / x + 1   (-x)

= -11x - 11  / x + 1  (-11)

= 0

Here,

The quotient = 2x² - x - 11

Remainder = 0

That is,

The quotient of the division is 2x² - x - 11 and 0 is the remainder.

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The perimeter of the parallelogram ABCD is, 58 units.

What is perimeter?

The length of a shape's boundary taken as a whole is referred to as its perimeter. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.

Consider the given vertices, A(1, 1), B(17, 1), C(22, 13), D(6, 13).

The perimeter of parallelogram is the sum of all sides of parallelogram.

So, first to find the length of each side of parallelogram, using the distance formula,

[tex]d = \sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]

So,

[tex]AB = \sqrt{(17-1)^2+(1-1)^2}=\sqrt{16^2-0} = 16\\ BC = \sqrt{(22-17)^2+(13-1)^2} = \sqrt{5^2+12^2}= \sqrt{25+144}=13\\ CD = \sqrt{(6-22)^2+(13-13)^2} = \sqrt{16^2+0}=16\\ AD = \sqrt{(6-1)^2+(13-1)^2}=\sqrt{5^2+12^2} =\sqrt{25+144}=13[/tex]

Therefore, the perimeter of the parallelogram ABCD is,

P = AB + BC + CD + AD

P = 16 + 13 + 16 + 13

P = 58

Hence, the perimeter of  the parallelogram ABCD is, 58 units.

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Answer: The inverse of the function f(x)  = 4(x-3)² + 2 is

The given function is:

f(x)   =  4(x  - 3)²  +  2

To find the inverse of the function:

Make x as the subject of the formula

Replace x by  and replace f(x) by x

Therefore, the inverse of the function is:

Step-by-step explanation:

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

y÷3

Step-by-step explanation:

y/3 is the same as y÷3

The solutions to this system of linear equation 3x−2y=14 is ( [tex]\frac{2y + 14}{3}[/tex] ,   [tex]\frac{3x}{2}[/tex]-7).

Add 2y to both sides.

3x=14+2y

The equation is in standard form.

3x=2y+14

Divide both sides by 3.

[tex]\frac{3x}{3}[/tex] = [tex]\frac{2y + 14}{3}[/tex]

Dividing by 3 undoes the multiplication by 3.

x = [tex]\frac{2y + 14}{3}[/tex]

​Now,

3x−2y=14

Subtract 3x from both sides.

−2y=14−3x

Divide both sides by −2.

[tex]\frac{-2y}{-2}[/tex] = [tex]\frac{14 - 3x}{-2}[/tex]

Dividing by −2 undoes the multiplication by −2.

y =  [tex]\frac{14 - 3x}{-2}[/tex]

Divide 14−3x by −2.

y = [tex]\frac{3x}{2}[/tex] - 7

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