Scarlett and her friends are going into a movie theater. How much would it cost to
buy 5 drinks and 4 candies if each drink costs $4.50 and each candy costs $5.00?
How much would it cost to buy 5 drinks and 4 candies if each drink cost $d and each
candy cost $c?

Answer: C.5

Step-by-step explanation:

Step-by-step explanation:

These are the statements

Statement 4: RS is congruent to ST

Reasons

Reason 2: Reflextive Property

Reason 3: Definition of angle bisector

Reason 4:Given

Answer:

y2 -y1 over x2 - x1

Step-by-step explanation: plz mark brainliest

Answer:

3020

Step-by-step explanation:

round to the nearest  10

503 to 500

472 to 470

486 to 490

499 to 500

539 to 540

522 to 520

The total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

Derek plans to deposit $6,460.00 per year for 21.00 years into an account with an annual interest rate of 14.00%. The first deposit will be made next year.

To calculate the total amount in the account 40.00 years from today, we need to consider the annual deposits, the interest earned, and the compounding effect over the years.

The annual deposit is $6,460.00, and the duration of deposits is 21.00 years.

Therefore, the total amount of deposits made over the 21.00 years will be 21.00 × $6,460.00 = $135,660.00.

To calculate the future value of the deposits and the interest earned, we can use the compound interest formula:

Future Value = Principal × \((1 + interest\, rate)^{number\, of\, periods}\)

In this case, the principal is $135,660.00, the interest rate is 14.00%, and the number of periods is 40.00 years.

Future Value = $135,660.00 × \((1 + 0.14)^{40}\)

Future Value = $135,660.00 × \((1.14)^{40}\)

Future Value = $135,660.00 × 45.094

Future Value = $6,120,433.84

Therefore, the total amount that will be in the account 40.00 years from today, considering the annual deposits of $6,460.00 for 21.00 years and an annual interest rate of 14.00%, will be approximately $6,120,433.84.

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Answer:

-2x+6.

Step-by-step explanation:

1) if A(1;4), B(2;2), then the required equation is:

2) \(\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}; \ => \ \frac{x-1}{2-1}=\frac{y-4}{2-4}; \ => \ \frac{x-1}{1}=\frac{y-4}{-2};\)

3) if to re-write this equation as slop-interception form, then:

y= -2x+6.

Answer:

12

Step-by-step explanation:

50-23=27

27÷3=9

12 x .25 = 9

9 is the after price

12 is the before price

An

Step-by-step explanation:

i think its 12

Answer:

239y

Step-by-step explanation:

956/4  

Step-by-step explanation:

The volume of a cube = L³

since  216 in³ = L³

then    L = ∛(216 in³)

              = 6 in

Since the dimension of a face is L × L

The dimensions of one face of the container are 6 inches by 6 inches.

Imagine a cube-shaped container. Each side, or face, of the cube has the same length, width, and height.

In this case, the volume of the cube container is given as 216 cubic inches.

This means that if we were to fill the cube with smaller cubes, each having a volume of 1 cubic inch, we would need 216 of these smaller cubes to completely fill the container.

Now, let's find the edge length of the cube.

We know that the volume of a cube is given by the formula V = side³, where "side" represents the length of one edge of the cube.

In our case, V = 216 cubic inches, so we can solve for "side":

216 = side³

To find the side length, we need to find the cube root of 216:

side = ∛216 ≈ 6 inches

Therefore, each edge of the cube is approximately 6 inches long.

Since all sides of a cube are equal, the dimensions of one face of the container are 6 inches by 6 inches.

This means that each face of the container has an area of 6 * 6 = 36 square inches.

In summary, the cube-shaped container has an edge length of approximately 6 inches, making each face of the container a square with dimensions 6 inches by 6 inches, and an area of 36 square inches.

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It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

To find nonzero 2x2 matrices a and b such that ab=0, we need to find matrices a and b whose product is the zero matrix. A matrix multiplication is a combination of dot products between rows and columns of the two matrices. In order for the product of two matrices to be zero, one or both of the matrices must have a row of zeros or a column of zeros.

One way to construct such matrices is to set one of the matrices to have a row of zeros and the other to have a column of zeros. Let a be a matrix with a row of zeros and b be a matrix with a column of zeros, but with a nonzero entry in a different position. For example, we could choose:

a = [0 0; 1 0]

b = [0 1; 0 0]

Then, the product ab is:

ab = [0 0; 1 0] * [0 1; 0 0] = [0 0; 0 0]

So, we have found two nonzero 2x2 matrices a and b such that ab=0.

It is worth noting that there are many other possible choices for a and b that satisfy ab=0. This is because there are many ways to construct matrices with a row or column of zeros, and many ways to choose the nonzero entries in the other positions.

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Answer:

x = 8

Step-by-step explanation:

We can see that in the picture that they are similar triangles and that CA is four times VT, so that means that all the sides in triangle TUV are four times those in triangle ABC. We now know that TU is four times AB, and 8 times 4 is 32, so we can say that 5x - 8 = 32. Now, we can add by 8 on both sides to get that 5x = 40. Now, we divide by five on both sides to get that x = 8.

Consider that both trees and their shadows for two right triangles.

These triangles are similar, then, the proportion between similar sides must be equal.

The proportion between the tall of the trees is equal to the prportion to the length of their shadows. If x is the tall of the tree with the shadow os 75 ft, you have:

x/225 = 75/150

solve the previous equation for x:

x = (75/150)(225)

x = 112.5

Hence, the tall of the tree is 112.5 ft

Answer:

Step-by-step explanation:

Let's call the first number x.

We can write an equation representing the problem using x:

x+x+20=200 (because the second number is 20 more than the first, or x)

Combine like terms: 2x+20=200

Subtract 20 from each side of the equation: 2x=180

Divide by 2: x=90

The first number is 90, the second number is 110.

Hope this helps!

Answer:

300 m

Step-by-step explanation:

Multiply 0.3 by 1,000. It gives you your answer of 300 m.

Answer:

\(f(x)=3x^{2} -40fx\) i think

Step-by-step explanation:

Answer:

9514 1404 393

Step-by-step explanation:

 Given: Quadrilateral QRST ...

The first statement of a proof is always a restatement of the facts that are Given. The "prove" statement is a goal, never stated in the proof. The statement to be proven is the last statement (conclusion) of a proof.

To represent the requirement that a company makes at least 20 units of products X1 and X2, you can use the following set of lower bound constraints:

\(1. X1 \geq 20\\2. X2 \geq  20\)

These constraints indicate that the production of X1 must be greater than or equal to 20 units, and the production of X2 must also be greater than or equal to 20 units.

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The volume common to two spheres, each with radius r, if the distance between their centres is r/2 is V = (11/12)×π×r³.

The attached diagram shows 2 circumferences with radius r and separated centres by r/2.

Let´s call circumferences  1 and 2; by symmetry, rotating area A will produce a volume V₁ identical to a V₂, Obtained by rotating area B ( both around the x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) × r × x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) × r × x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) × r × (r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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Answer:

x = 1/8

Step-by-step explanation:

divide the two from both both sides

1/4 = 2x

(1/4)/2 = x/2

1/8 = x

Answer: x = -2

Step-by-step explanation:

X is -2 because whenever you get a negative exponent you gotta make it into a fraction which is \(\frac{1}{4}\) because I ignored the negative sign for a second and did it normally so 2 to the power of 2 is 4 put it as a fraction 1 over 4.

Normally it doesn’t happen to every problem you get. Most of the time you gotta divide the numerator by the denominator which will give you .25 in this case scenario, .25 converted to a fraction would be 1/4.

- Your Welcome.

Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer:

46.6666666 so about 46.67 or 47

Step-by-step explanation:

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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The range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

To measure the amount of money college students spend on rent per month, the most appropriate measure of spread would be the range. The range is the simplest measure of spread and is calculated by subtracting the lowest value from the highest value in a data set. In this case, the range would be $1,300 - $300 = $1,000.

The median would not be the best choice in this scenario because it only represents the middle value in a data set. It does not take into account extreme values like the $1,300 rent expense.

Standard deviation would not be the most appropriate measure of spread in this case because it calculates the average deviation of each data point from the mean. However, it may not accurately represent the spread when extreme values like the $1,300 rent expense are present.

The interquartile range (IQR) would not be the best choice either because it measures the spread of the middle 50% of the data set. It does not consider extreme values and would not accurately represent the range of rent expenses in this scenario.

In summary, the range would be the most appropriate measure of spread in this case because it takes into account the extreme values of $300 and $1,300 and provides a clear measure of the difference between them.

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Solution:

\(y = \frac{1}{2}\)

Process of Solution:

1. Switch sides.

\(y-1=-\frac{1}{2}\)

2. Add 1 to both sides.

\(y-1+1=-\frac{1}{2} +1\)

3. Simplify.

\(y = \frac{1}{2}\)

Hope this helps!

Answer:

The fats food restraunt that was selling 7 boxes of chicken nuggets for $25.90 is the one with the highest price.

Step-by-step explanation:

You can find the unit rate of Both restaurants

25.9/7= $3.70

11.07/3= $3.69

Theres a 1 cent difference

So the reastraunt witht he greater cost woul be the one seeking 7 boxes for 25.90

When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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(a) To list all the right cosets of H in D₄, we need to find all the elements of D₄ that are not already in H and multiply them by each element of H.

The elements of D₄ are {e, r, r², r³, f, fr, fr², fr³}, where e represents the identity, r represents a 90-degree rotation, and f represents a flip. The subgroup H is {e, f}.

To find the right cosets, we multiply each element of H by each element of D₄. The right cosets of H in D₄ are: H, Hr, Hr², Hr³.
(b) To find the group table of the factor group D₄/H, we need to determine the product of each pair of right cosets.

The group table of D₄/H is:

         | H   | Hr  | Hr² | Hr³
-----------------------------------
    H  | H   | Hr  | Hr² | Hr³
    Hr | Hr  | H   | Hr³ | Hr²
   Hr² | Hr² | Hr³ | H   | Hr
   Hr³ | Hr³ | Hr² | Hr  | H

(c) The order of an element in a factor group is equal to the order of the corresponding coset. The element Hδ₁ in D₄/H corresponds to the coset Hr. The order of Hr is 4, so the order of Hδ₁ is also 4.

(d) To determine the 'known' group to which D₄/H is isomorphic, we need to find a group with the same group table. Comparing the group table of D₄/H to the group table of the cyclic group of order 4, we can see that D₄/H is isomorphic to the cyclic group of order 4.

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.