Compare the rates to find which is the best value.


3 greeting cards for $13.50


9 greeting cards for $38.25


6 greeting cards for $23.40


8 greeting cards for $32.80​

Answer:

3x + 4

Step-by-step explanation:

5x + 5 - 2x - 1

3x + 5 - 1

3x + 4

we need to find the positive even integers less than k that satisfy the condition nx divided by x leaves a remainder of 2.

To solve this problem, we need to use the information given and work step by step. Let's break it down:

1. The number of toy cars that Ray has is a multiple of x. This means the number of cars can be represented as nx, where n is a positive integer.

2. When Ray loses two cars, the number of cars he has left is a multiple of x. This means (nx - 2) is also a multiple of x.

3. If x is a positive even integer less than k, we need to find the possible values for x.

Now, let's analyze the conditions:

Condition 1: nx - 2 is a multiple of x.
To satisfy this condition, nx - 2 should be divisible by x without a remainder. This means nx divided by x should leave a remainder of 2.

Condition 2: x is a positive even integer less than k.
Since x is even, it can be represented as 2m, where m is a positive integer. We can rewrite the condition as 2m < k.

To find the possible values for x, we need to find the positive even integers less than k that satisfy the condition nx divided by x leaves a remainder of 2. The number of possible values for x depends on the value of k. However, without knowing the value of k, we cannot determine the exact number of possible values for x.

To know more about remainder visit:

brainly.com/question/29019179

#SPJ11

Answer:

the correct ones are 30 , 120, 75

When we compare this to the options provided, we can see that the equation is: a. y = -x²/2+x+1. The answer is (a) y = -x²/2+x+1.

A parabola's equation can take many different forms, such as vertex form, standard form, or intercept form, depending on its particular shape and orientation.

The parabola's typical vertex form equation is y = a(x - h)² + k

We must locate the vertex form of the parabola in order to get its equation, which is:

y = a(x - h)² + k

Using to determine the vertex

h = -b/2a

To begin, we can locate the vertex:

(-1,0) (1,1.5) (3,0) (-2, -3) (4,-3) (-3,-6) (5,-6)

In order to average the x-values of the two sets of x-intercepts, the vertex must be halfway between the parabola's x-intercepts:

h = (-1 + 3)/2 = 1

The vertex and another point can then be used to find the value of "a":

y = a(x - 1)² + k

Using the point (4, -3):

-3 = a(4 - 1)² + k

-3 = 9a + k

Using the point (1, 1.5):

1.5 = a(1 - 1)² + k

1.5 = k

k = 1.5 is substituted into the second equation:

-3 = 9a + 1.5

-4.5 = 9a

a = -0.5

y = -0.5(x - 1)² + 1.5

When we multiply the equation, we get:

y = -0.5x² + x + 1

To know more about parabola visit:

brainly.com/question/11911877

#SPJ1

Answer:

x = 16.5

Step-by-step explanation:

2x + 3y = 73.50

5x + 2y = 109.50

(2x + 3y = 73.5) -5

(5x + 2y = 109.5) 2

-10x - 15y = -367.5

10x + 4y =219

-11y = -148.5

y = 13.5

2x + 3(13.5) = 73.50

2x + 40.5 = 73.5

2x = 73.5 - 40.5

2x = 33

x = 16.5

Answer:Answer: An adult’s ticket costs $9 while a children’s ticket costs $5.

Step-by-step explanation:

1). 2x + 3y = 33

2). 5x + 2y = 55

3). I’m going to use substitution.

Isolate a variable (x):

2x + 3y = 33

2x = -3y + 33

X = (-3y + 33)/2

X = -3/2y + 33/2

Substitute and solve for y:

5x + 2y = 55

5(-3/2y + 33/2) + 2y = 55

-15/2y + 165/2 + 2y = 55

-11/2y = -55/2

Y = 5 <— children’s ticket.

Solve for x:

2x + 3y = 33

2x + 3(5) = 33

2x + 15 = 33

2x = 18

X = 9 <— adult’s ticket.

Check:

5x + 2y = 55

5(9) + 2(5) = 55

45 + 10 = 55

55 = 55

2x + 3y = 33

2(9) + 3(5) = 33

18 + 15 = 33

33 = 33

Step-by-step explanation:

Answer:

x=1/4

Step-by-step explanation:

4(1/4)=1

1/3=1/3

No, AAA doesn't mean triangles are congruent.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved.

CPCT means “Corresponding Parts of Congruent Triangles”. After proving triangles congruent, the remaining dimension can be predicted without actually measuring the sides and angles of a triangle.

Different rules of congruency are as follows.

1-SSS (Side-Side-Side)

2-SAS (Side-Angle-Side)

3-ASA (Angle-Side-Angle)

4-AAS (Angle-Angle-Side)

5-RHS (Right angle-Hypotenuse-Side)

Thus, there AAA doesn't mean triangles are congruent.

To know more about triangles visit:

brainly.com/question/2773823

#SPJ4

Answer:

3,5,7,9

Step-by-step explanation:

Let x be an odd integer

given that, consider four consecutive odd integers, which are

x , (x +2), (x+4), (x+6)

Now we have to determine these odd integers such that five times the second is equal to one more than eight times the smaller

5(x+2) = 1 + 8x

5x + 10 = 1 + 8x

10 - 1 = 8x - 5x

9 = 3x

x = 3

Answer:

x < -3

Step-by-step explanation:

The amount of  grape juice that you need to mix with 15 over 4 quarts of sparkling water is 15/8 quarts

Given that,

The amount of Sparkling water is 15/4 quarters

To find : The amount of grape juice that you need to mix with 15 over 4 quarts of sparkling water

Sparkling water measuring 1 1/2 quarters is required for the recipe. This can be expressed as the improper fraction 3/2 (since 1 whole equals 2/2 and 2/2 plus 1/2 equals 3/2).

We used 5/2 times as much sparkling water as the recipe called for, or 15/4 quarts (15/4 gallons). This implies that we would also use 5/2 times as much grape juice, or 5/2(3/4) = 15/8.

As a result, you need to combine 15 over 4 quarters of sparkling water with 15/8 quarts of grape juice.

To learn more about improper fraction click here:

brainly.com/question/21449807

#SPJ4

If the boys and girls must alternate, the total number of ways they can sit in a row is (b+g)!/(b/2)! (g/2)!.

If the boys and girls must alternate, then the first seat can be occupied by a boy or a girl. Without loss of generality, let's assume that the first seat is occupied by a boy. Then, the second seat must be occupied by a girl, the third seat by a boy, the fourth seat by a girl, and so on.

Let's say there are b boys and g girls. Then, there are b+g people in total. We can arrange the boys in b! ways and the girls in g! ways. However, we must also take into account the fact that the first seat is occupied by a boy. Since there are b choices for the first seat, there are b!(g-1)! ways to arrange the boys and girls if the first seat is occupied by a boy.

Similarly, if the first seat is occupied by a girl, then there are g!(b-1)! ways to arrange the boys and girls.

Therefore, the total number of ways to arrange the boys and girls if they must alternate is:

b!(g-1)! + g!(b-1)!

which can be simplified to:

(b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)! + (b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)!

= (b+g)!/(2!(b/2)!(g/2)!) * 2 * (b/2)!(g/2)!

= (b+g)!/(b/2)!(g/2)!

Therefore, the number of ways the boys and girls can sit in a row if they must alternate is (b+g)!/(b/2)!(g/2)!.

To learn more about number of ways:

https://brainly.com/question/30649502

#SPJ4

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer: It is located in quadrant III (3) of the coordinat plain

Step-by-step explanation:

You can use the negative numbers to find their placement. if there are no negative numbers, it’s in quadrant I (1). If there‘s a negative number for the Y-coordinate, then it’s in quadrant II (2). If there are 2 negative numbers, it’s in quadrant III (3). And if there’s a Negative number for the X-coordinate, it’s in quadrant IV (4).

The equation of the tangent plane to the given surface at the specified point (3, -2, 18) is z - 18 = 8(x - 3) - 12(y + 2).

To find the equation of the tangent plane to the given surface at the specified point (3,-2,18), we first need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 4(x-1)
∂z/∂y = 12(y+3)

Then, we can evaluate these partial derivatives at the given point (3,-2,18):

∂z/∂x = 4(3-1) = 8
∂z/∂y = 12(-2+3) = -12

Next, we can use these partial derivatives and the point (3,-2,18) to write the equation of the tangent plane in point-normal form:

z - z0 = ∂z/∂x(x - x0) + ∂z/∂y(y - y0)

Plugging in the values we found:

z - 18 = 8(x - 3) - 12(y + 2)

Simplifying:

8x - 12y - z = -22

Therefore, the equation of the tangent plane to the given surface at the point (3,-2,18) is 8x - 12y - z = -22.
To find an equation of the tangent plane to the given surface z = 2(x - 1)^2 + 6(y + 3)^2 + 4 at the specified point (3, -2, 18), follow these steps:

1. Calculate the partial derivatives of the function with respect to x and y:
∂z/∂x = 4(x - 1)
∂z/∂y = 12(y + 3)

2. Evaluate the partial derivatives at the specified point (3, -2, 18):
∂z/∂x(3, -2) = 4(3 - 1) = 8
∂z/∂y(3, -2) = 12(-2 + 3) = -12

3. Use the tangent plane equation to find the tangent plane at the specified point:
z - z0 = ∂z/∂x(x - x0) + ∂z/∂y(y - y0)
where (x0, y0, z0) = (3, -2, 18)

4. Plug in the values and simplify the equation:
z - 18 = 8(x - 3) - 12(y + 2)

To learn more about tangent planes go to :

https://brainly.com/question/30589915#

#SPJ11

The factored quadratic expression of 2x²+7x+3 as the the product of two linear binomials is (2x+1)(x+3)

To factor trinomials with a leading coefficient greater than 1, follow these steps

Multiply the coefficient of the leading term by the constant term.

Find two factors of the product from step 1 that add up to the coefficient of the middle term.

Rewrite the middle term using the two factors found in step 2.

Factor by grouping the first two terms and the last two terms.

Factor out the common factor.

Let's use the example 2x²+7x+3 to demonstrate these steps

2 x 3 = 6

Find two factors of 6 that add up to 7: 6 and 1

Rewrite the middle term as 6x + 1x

Factor by grouping

2x² + 6x + 1x + 3

2x(x + 3) + 1(x + 3)

Factor out the common factor

(2x + 1)(x + 3)

Therefore, 2x²+7x+3 can be factored as (2x + 1)(x + 3).

Learn mnore about Trinomial here

brainly.com/question/9702142

#SPJ4

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

To learn more about interest click on,

https://brainly.com/question/29142044

#SPJ1

Answer:

It is A

Step-by-step explanation:

lol i guessed

Answer:

I'm thinking is I'm not sure is is answer 0.9

Step-by-step explanation:

am not sure my answer guys because naka tulong din na man too

Answer:

\(I=\frac{P}{V}\)

Step-by-step explanation:

We are given the equation \(P=I*V\), and we need to solve the equation for \(I\). Solving an equation for a variable means that we manipulate the equation so it is in the form (variable being solved for) = ?, where the ? is any expression.

To solve for \(I\), we need to isolate the variable. This is the process of getting the equation into the form mentioned above by essentially getting all \(I\) terms on one side and all \(\text non-I\) terms on the other side.

In this case, we need to "get rid" of the \(V\) from the right-hand side (RHS). Notice that it is being multiplied by the variable we are solving for. Therefore, to remove it from the RHS, we will need to perform the opposite operation, which is division. We will use what's called the Division Property of Equality to do this, which states that in order to maintain equality, you need to divide both sides of an equation by the same number.

Dividing both sides by \(V\), we get:

\(P=I*V\)

\(\frac{P}{V}=\frac{I*V}{V}\)

\(\frac{P}{V} = I\) (simplify RHS)

\(\bf I=\frac{P}{V}\) (this uses the Symmetric Property of Equality - if a = b then b = a)

For more practice with solving literal equations, check out the following questions:

Answer

4, 7, 5, 10, 13, .......

Step-by-step explanation:

the only numbers that are impossible to get are the non-multiples of 3 and 8

and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to

The formula that you must used to determine the circumference of a circle is C = \(\pi\)d

First things first, substitute your diameter into the formula provided above,

C = \(\pi\)(3.14)(4)

Next you've substituted the diameter into the formula, you may calculate it.

C = \(\pi\)(3.14)(4) = 12.57

Finally, it has been determined that the answer to your question is 12.57

−2

Answer: 5 hours

Step-by-step explanation:

If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.

Answer:

3 1/2 cups

Step-by-step explanation:

Let's start by figuring out how much sugar Karen needs in total.

She needs (1+1/3) cups for her original recipe. To triple that, we need (1+1/3) 3 times. We can calculate this by multiplying it by 3.

(1+1/3) * 3 = 3 + 1 = 4

Karen needs 4 cups in total. She has 1/2 cup. The difference is how much more she needs. Therefore, she needs 4 - 1/2 = 3 1/2 cups

3/5 is the probability that he will win, you must find a fraction which adds to make 100%.

2/5 would be the fraction for his probability to lose.

0.4 or 40%.

Answer:

Q3: A

Q4: 9x² + (-x) + (-3)

Step-by-step explanation:

Q3: C (63) => x = 63. => C(x) = 36 x 63

Q4: f(x) + g(x) = 7x² - 5x + 3 + 2x² + 4x - 6 = (7x² + 2x²) + (-5x + 4x) + (3 - 6) = 9x² + (-x) + (-3)

Answer:

x=10

Step-by-step explanation:

A to D=90

A to C=60

C to D=30

30-10=20

2(10)=20

x=10

The point (3, 2) is feasible for the constraint 2x1 + 6x2 ≤ 30. (False)

To determine if a point is feasible for a constraint, we need to substitute the values of the point into the constraint equation and check if the resulting inequality holds true.

In this case, the constraint is 2x1 + 6x2 ≤ 30. Substituting x1 = 3 and x2 = 2 into the equation, we get 2(3) + 6(2) = 6 + 12 = 18. Since 18 is not less than or equal to 30, the inequality is not satisfied.

Therefore, the point (3, 2) is not feasible for the given constraint. Feasible points satisfy the constraint, while infeasible points do not. In this case, any point that lies below the line represented by the constraint equation would be feasible, while points above the line would be infeasible.

Learn more about constraint here:

https://brainly.com/question/31605599

#SPJ11