Ana has $75 and saves an additional $13 per week. Which equation can be used to findhow many weeks it will take until she has $452?75 + w = 4520 75 + 13w = 45213w = 75 = 452452 + 13w = 75

As a result, the original discounted price is $1 while the weekly normal price is $9.

The fundamental formula for calculating a reduction is to increase the initial price by the provided percentage rate in decimal form. We must deduct the reduction from the initial price to determine the item's sale price.

From the given information, we have:

d + 6x = 55 (discounted price for 7 weeks)

d + 11x = 100 (discounted price for 12 weeks)

We can solve this system of equations by eliminating d. Subtracting the first equation from the second, we get:

5x = 45

Dividing both sides by 5, we get:

x = 9

Substituting x = 9 into one of the equations, we can solve for d. Using the first equation, we get:

d + 6(9) = 55

d + 54 = 55

d = 1

To know more about Discount visit:

https://brainly.com/question/1548141

#SPJ1

Therefore, 70% of state capitals do not have interstate highways serving them.

Percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred". Percentages are usually denoted by the symbol %, which is placed after the numerical value. Percentages are used in many fields, including finance, science, and everyday life, to represent proportions, rates, and changes in quantities.

Here,

If all but 36 of the 120 state capitals have an interstate highway serving them, then the number of capitals that do not have interstates is 120 - 36 = 84.

To find the percentage of capitals that do not have interstates, we need to divide the number of capitals without interstates by the total number of capitals and then multiply by 100:

84 / 120 x 100% = 70%

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

Answer:

A) \(x=-1\pm\sqrt{\frac{13}{6}}\)

Step-by-step explanation:

\(\displaystyle x=\frac{-12\pm\sqrt{12^2-4(6)(-7)}}{2(6)}\\\\x=\frac{-12\pm\sqrt{144+168}}{12}\\\\x=\frac{-12\pm\sqrt{312}}{12}\\\\x=\frac{-12\pm2\sqrt{78}}{12}\\\\x=-1\pm\frac{\sqrt{78}}{6}\\\\x=-1\pm\sqrt{\frac{78}{36}}\\\\x=-1\pm\sqrt{\frac{13}{6}}\)

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

Learn more about the angle bisector theorem on:

https://brainly.com/question/2478436

#SPJ1

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

learn more on rectangular prism here: https://brainly.com/question/29175503

#SPJ9

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

For more such questions on vertex

https://brainly.com/question/25651698

#SPJ8

Answer:

8.33 hours

Step-by-step explanation:

120-45 = 75

75 ÷ 9 = 8.33

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

Learn more about mean:https://brainly.com/question/31101410

#SPJ1

Answer:

3x+10>10

Step-by-step explanation:

Answer:

3x+10

Step-by-step explanation:

The x is the sticker books because there could be any amount of stickers in there and the 10 is the new stickers.

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

Answer:

98.5kg

Step-by-step explanation:

since we are rounding to the nearest whole number, our answer will use ±0.5

as we are calculating upper bound, we will add 0.5 to the original weight, so the answer is 98.5 kg

Answer:

I'd say x=30

cause the angle is 60°

A statement that describes the median of a triangle include the following: A. a segment drawn from a vertex to the midpoint of the opposite side.

In Mathematics and Geometry, a triangle is a two-dimensional geometric shape that comprises three sides, three vertices and three angles only.

In Mathematics and Geometry, the median of a triangle can be defined as a line segment with end points that is typically drawn from a vertex to the midpoint of the opposite side of the triangle.

In this context, we can logically deduce that a line segment with end points at the vertex and the midpoint of the triangle's opposite side simply refers to the median of a triangle.

Read more on triangles and line segment here: https://brainly.com/question/30314207

#SPJ1

Given:

Slope = -1.

Point = (5,-2)

General equation line is:

Where,

So equation of line:

Piont (5,-2)

So equation of line is:

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

For more questions on algebraic expression:

https://brainly.com/question/29333936

#SPJ8

Answer:

The expected number of keys she will try before she opens the door is 4.5.

Step-by-step explanation:

Probability of opening with the first key:

One key out of 8 working, so: 1/8 probability of opening with the first key, that is:

\(P(X = 1) = \frac{1}{8}\)

Probability of opening with the second key:

Doesn't work on the first(7/8 probability), works on the second(1/7 probability). So

\(P(X = 2) = \frac{7}{8}*\frac{1}{7} = \frac{1}{8}\)

Following the logic:

For each value of x from 1 to 8, we have that \(P(X = x) = \frac{1}{8}\)

Find the expected number of keys she will try before she opens the door.

Each outcome multiplied by its probability. So

\(E(X) = 1\frac{1}{8} + 2\frac{1}{8} + 3\frac{1}{8} + 4\frac{1}{8} + 5\frac{1}{8} + 6\frac{1}{8} + 7\frac{1}{8} + 8\frac{1}{8} = \frac{1+2+3+4+5+6+7+8}{8} = 4.5\)

The expected number of keys she will try before she opens the door is 4.5.

SOLUTION:

Case: Probability

Method:

If there are 20 team members

The first semi-annual interest payment with a credit to in the amount of $109.556.15

Given that, a company issues $50,000 of 8%, 10-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year.

We need to find the amount,

\(A = P(1+r/2)^{2t}\)

\(A = 50,000(1+0.08/2)^{2(10)\)

\(A = 50,000(1.04)^{20\)

\(A = 109,556.15\)

Hence, the first semi-annual interest payment with a credit to in the amount of $109.556.15

Learn more about semi-annual interest click;

https://brainly.com/question/30573341

#SPJ1

The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Answer:

it is a function

Step-by-step explanation:

because every input has its own output.

Answer:

It's a function

Step-by-step explanation:

The relation is

Input x is by adding 3

= - 3 + 3=0

output y by substracting 6

= 11 - 6 = 5

A student estimated the sum

7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as:

All the numbers begin with a 7 or 8, so use cluster estimation.

8 + 8 + 80 + 8 + 80 + 0.8 = 184.8

Explain why this reasoning is not accurate.

Answer:

30.5x" (15+10

A

D

O A. 13

Step-by-step explanation:

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

For more such questions on carbohydrate, click on:

https://brainly.com/question/29917711

#SPJ8

Answer:

£220 is worth €247

Answer:

C

Step-by-step explanation:

Wolid like

The number of teaspoons of key lime zest to make 30 cupcakes is

35/8 or 4 3/8

Given,

Margaret uses 1 3/4 teaspoon of key lime zest to make 12 cupcakes.

She wants to make 30 cupcakes.

We need to find how much key lime zest will Margaret use.

Example:

1 bag = N mango

Then to find the number of mangoes in 5 bags we need to multiply 5 on both sides.

5 bags = 5 x N mangoes.

We have,

1 3/4 teaspoons of key lime zest = 12 cupcakes

7/4 teaspoons of key lime zest = 12 cupcakes

7/4 = 12 cupcakes

Multiply 30 on both sides.

7/4 x 30 = 30 x 12 cupcakes

Divide both sides by 12.

7/4 x 30/12 = 30 cupcakes

35 / 8 = 30 cupcakes

or

4 3/8 = 30 cupcakes

This means,

35/8 or 4 3/8 teaspoons of key lime zest to make 30 cupcakes.

Thus the number of teaspoons of key lime zest to make 30 cupcakes is

35/8 or 4 3/8.

Learn more about finding the number of cupcakes here:

https://brainly.com/question/17374060

#SPJ1

The following is deduced from the equation f(x)=(x - 1)^3 + 5

Horizontal shift: 1 left

Vertical shift: 5 down

Vertical stretch factor: 1

Vertical compression factor: 1

Axis of reflection: -x + 6

Domain: all real numbers

Range: all real numbers

Inflection Point: (1, 5)

The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.

The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.

Learn more about vertical stretch factor:

https://brainly.com/question/28353408

#SPJ1

Answer:

EAFI

Step-by-step explanation:

Since we know ∠A + ∠D = 90°, we can add the two equations together to get

90 = 7x + 6

Subtract 6 from both sides

84 = 7x

Divide both sides by 7 to get x = 12

Plug back into the equation to get ∠A = 36

Repeat for number 3, but this time the angles equal 180

Using the same steps as before, y = 3 and ∠C = 126

Put the letters together to get EAFI

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

<95141404393>

Step-by-step explanation:

combination

is answer of this question