One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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Answer:

9.21 - (-5.51)

9.21 + 5.51 = 14.72

The distance is 14.72

Step-by-step explanation:

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer:

35.54° = 36°

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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a. We can be 95% confident that the true proportion of all students who would prefer to remain on the quarter system is between 0.5546 and 0.6454.

b. We cannot conclude that a majority of students prefer one system over the other based on this interval alone.

c. The interval in part (c) is wider than the interval in part (a) because the sample size is smaller. This means that there is more uncertainty in the estimate of the true proportion with a smaller sample size.

d. The confidence interval in part (a) is narrower than the confidence interval in part (c), which indicates that the estimate of the true proportion is more precise with a larger sample size.

a. To construct a 95% confidence interval for the true proportion of all students who would prefer to remain on the quarter system, we can use the following formula:

CI = \((\hat{p} - Z_{\alpha /2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} },\hat{p}+Z_{\alpha /2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n} })\)

where \(\hat{p}\) is the sample proportion, n is the sample size, and \(z_{\alpha/2}\) is the critical value from the standard normal distribution corresponding to the desired level of confidence \(\alpha\).

Substituting the given values, we get:

CI = \((\frac{240}{400} - 1.96 \sqrt{\frac{\frac{240}{400} (1-\frac{240}{400} )}{400} },\frac{240}{400} +1.96\sqrt{\frac{\frac{240}{400} (1-\frac{240}{400} )}{400} })\)

Simplifying this expression gives:

CI=(0.5546,0.6454)

b. The interval we computed in part (a) does not provide convincing evidence that the majority of students prefer to remain on the quarter system because the interval contains the value of 0.5, which represents equal support for both systems.

c. Using the same formula as in part (a), with \(\hat{p} = 0.6\), n = 50, and \(z_{\alpha/2}\) = 1.96, we get:

CI=(0.4499,0.7501)

Therefore, we can be 95% confident that the true proportion of all students who would prefer to remain on the quarter system is between 0.4499 and 0.7501.

d. The sample proportion in part (a) is \(\hat{p}\) = 0.6, which is larger than the sample proportion in part (c), \(\hat{p}\)= 0.6.

The role of sample size in helping make decisions from sample data is that larger sample sizes generally provide more precise estimates of the population parameters, which can increase our confidence in the conclusions drawn from the data.

However, it is important to ensure that the sample is truly random and representative of the population of interest, regardless of sample size.

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Without knowing the total number of coins or the ratio between one dollar and two dollar coins in the jar, we cannot accurately determine the number of two dollar coins.

Amadi has a jar with both one dollar and two dollar coins. The question is asking how many of the coins in the jar are two dollar coins.
To determine the number of two dollar coins, we need more information. The question does not provide any details about the total number of coins or the ratio between one dollar and two dollar coins in the jar. Without this information, it is not possible to give an accurate answer.
If we assume that the jar contains a total of 100 coins, we can use algebra to solve for the number of two dollar coins.

Let's say the number of two dollar coins is x. Then, the number of one dollar coins would be 100 - x.
Since the value of the two dollar coins is double the value of the one dollar coins, we can set up the equation 2x + 1(100 - x) = total value of coins.
Simplifying the equation, we get 2x + 100 - x = total value of coins.
Combining like terms, we have x + 100 = total value of coins.
Since we don't know the total value of coins, we cannot solve for x. Therefore, we cannot determine the number of two dollar coins without additional information.

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Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

Answer:

-2, 2

Step-by-step explanation:

The pair of numbers that sum = 0 is:

-2,2

-2 + 2 = 0

The length of the loan in months is 151. 33 months

The formula for determining simple interest is expressed as;

I = PRT/100

Where;

From the information given, we have that;

Principal interest = $600

Simple interest = $681

Rate = 9%

Substitute the values into the formula

$681 = $600 × 9 × T/100

Multiply the numerators

$681 = 5400T/100

cross multiply

68100 = 5400T

Divide both sides by 5400

T = 68100/5400

T = 12. 61 years

Convert the years to months

T = 12.61(12)

T = 151. 33 months

Hence, the value is 151. 33 months

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Step-by-step explanation:

Hi, your question isn't totally complete. Here's the likely full question:

Random walk. A Java programmer begins walking aimlessly. At each time step, she takes one step in a random direction (either north, east, south, or west), each with probability 25%. She stops once she is at Manhattan distance r from the starting point. How many steps will the random walker take? This process is known as a two-dimensional random walk.

Write a program RandomWalker.java that takes an integer command-line argument r and simulates the motion of a random walk until the random walker is at Manhattan distance r from the starting point. Print the coordinates at each step of the walk (including the starting and ending points), treating the starting point as (0, 0). Also, print the total number of steps taken.

Answer:

4W+8+4W+4=180

8W+12. =180

. 8W=180-12

8W=168

W=21

BPC =4W+4

DE=360-(4W+4+4W+8+4W+4+2W+11)

=360-(14W+27)

=360-(14×21)-27

=360-321

= 39

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

9x + 6

Step-by-step explanation:

SOLUTION GIVEN: a number is divided by 9 and the remainder is 6,

TO DETERMINE: The remainder when six times the number is divided by 9

EVALUATION: Here it is given that the number is divided by 9 & the remainder is 6

We know that Dividend = Divisor × Quotient + Remainder 

By the given Divisor = 9

Remainder = 6

Let quotient = x

Then the number = Dividend = 9x + 6

Step-by-step explanation:

sin A = opposite/ Hypotenuse

Sin A = 5/7

Hello !

sin(A) = opposite/hypotenuse = 5/7

arcsin(5/7)  ≈ 45,58°

sin(A) = 5/7

the angle A ≈ 45,58°

Answer:

a) The function has a minimum value.

b) The minimum value of the function is -27.

c) The minimum value occurs at x=3.

Step-by-step explanation:

Answer:

d have a great guys :D

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

-0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

Step-by-step explanation:

Using Cramer's rule in solving systems.

The solution for x and y are :

From the problem, we have two equations :

From the equations, the values are :

Using the formula above, the values of x and y are :

The solution set is One solution. (-4, -1)

Answer:

Step-by-step explanation:

The correct order in which accounting cycles are performed helps in structuring and produce an efficient result in the day-to-day activities of any business organization.  This cannot be found in the options given but the correct order is shown below.

1, 2, 3, 4, 5, 6, 9, 8, 7

In other textbooks, it was stated that option A is correct for part 1.

The wide range of various entries or steps of the accounting cycle will happen depending on the circumstance yet these three activities are there any in the business association independent of circumstances.

1, 2, 3

In other textbook, it was stated that option B is correct for part 2.

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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