Which type of plate boundary occurs where two plates move apart, resulting in upwelling and partial melting of hot material from the mantle?

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

Answer:

f(x) = 12*(2)^x

Step-by-step explanation:

A generic exponential equation is written as:

f(x) = A*(r)^x

And we also know that this equation passes through:

(-1, 6)

(0, 12)

(1, 24)

(2, 48)

For the second point, (0, 12) we know that when f(0) = 12

Then:

f(0) = 12 = A*(r)^0

And for every real number different than zero, a^0 = 1

Then:

f(0)  = A*1 = A = 12

Then the equation is:

f(x) = 12*(r)^x

Now we can use one of the other points, like (1, 24)

Then f(1) = 24

We can solve:

f(1) = 24 = 12*(r)^1  = 12*r

24/12 = r

2 = r

Then the equation is f(x) = 12*(2)^x

Now we need to check if this function also passes through the points (-1, 6) and (2, 24):

f(-1) = 12*(2)^-1 = 12/2 = 6

f(2) = 12*(2)^2 = 12*4 = 48

Nice.

So we can see that the function is f(x) = 12*(2)^x

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

A a= 14

E b = 14

These are the 2 correct answers

The total annual cost of the card to Sandra is $72.65

To find the total annual cost of the card to Sandra, we have to add all the money Sandra paid for the new credit card for the year. This can be calculated as follow:

Membership fee =  $15

Balance transfer fee of 5% of $823.46 = 5/100 * $823.46 = $41.17

February $3.56; May, $5.82; July, $4.92; and September $2.18

Total annual cost = $15 + $41.17 + $3.56 +  $5.82 + $4.92 + $2.18 = $72.65

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

oh god i rushed so much.. i hope you understand..the written answers..if confused..please inform..

Answer:

AAS

Step-by-step explanation:

(a) The given regular set is belonging to 1011.

(b) The given regular set is belonging to 1011.

(c) The given regular set is belonging to 1011.

(d) The given regular set is belonging to 1011.

(e) The given regular set is belonging to 1011.

(f) The given regular set does not belong to 1011.

(g) The given regular set is belonging to 1011.

(h) The given regular set is belonging to 1011.

(a). Given the regular set is 10∗1∗

To find: 1011 is belongs to the set or not.

10∗1∗ contain 1011, because we can obtain 1011 as 10¹ 1²

Then, 1011 = 10¹ 1²

So, the given set is belonging to 1011.

(b).Given the regular set is 0∗(10 ∪ 11)∗

To find: 1011 is belongs to the set or not.

0∗(10 ∪ 11)∗  contain 1011, because we can obtain 1011 as 0⁰(10)(11)

Where we first choose 10 in (10 ∪ 11) and then we choose 11 in (10 ∪ 11)

Then,  1011 = 0⁰(10)(11)

So, the given set is belonging to 1011.

(c). Given  the regular set is 1(01)∗1∗

To find: 1011 is belongs to the set or not.

1(01)∗1∗  contains 1011, because we can obtain 1011 as 1 (01)¹ 1¹

Then, 1011 = 1 (01)¹ 1¹

So, the given set is belonging to 1011.

(d). Given the regular set is 1∗01(0 ∪ 1)

To find: 1011 is belongs to the set or not.

1∗01(0 ∪ 1) contains 1011, because we can obtain 1011 as 1¹ 01 (1)

When we choose 1 in a set (0 ∪ 1)

Then, 1011 = 1¹ 01 (1)

So, the given set is belonging to 1011.

(e) Given the regular set is (10)∗(11)∗

To find: 1011 is belongs to the set or not.

(10)∗(11)∗ contains 1011, because we can obtain 1011 as (10)¹ (11)¹

Then, 1011 = (10)¹ (11)¹

So, the given set is belonging to 1011.

(f) Given the regular set is 1(00)∗(11)∗

To find: 1011 is belongs to the set or not.

Then,

1(00)∗(11)∗ does not contain 1011, because all strings in

1(00)∗(11)∗  containing even number of 0s, while 1011 contains an odd number of 0s.

Thus, the given set is not belonging to 1011.

(g) Given the regular set is (10)∗1011

To find: 1011 is belongs to the set or not.

(10)∗1011  contains 1011, because 1011 can be obtained as (10)¹ 1011

Then, 1011 = (10)¹ 1011

Thus, the given set is belonging to 1011.

(h) Given the regular set is (1 ∪ 00)(01 ∪ 0)1∗

To find: 1011 is belongs to the set or not.

(1 ∪ 00)(01 ∪ 0)1∗ contains 1011, because we can obtain 1011 as (1) (01) 1¹

When we choose 1 in the set (1 ∪ 00) and we choose 01 in the set (01 ∪ 0)

Then,  1011 = (1) (01) 1¹

Thus, the given set is belonging to 1011.

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The lateral area of the cone is approximately 401 cm²

Let's call the radius of the circular base of the cone "r". We know that the area of the circular base is 16π cm², so:

r² * π = 16π

r² = 16

r = 4

Now that we know the radius, we can find the slant height. The slant height is 4 times the radius, so:

4 * r = 4 * 4 = 16

The lateral area of a cone is equal to π times the slant height times the radius of the base, so:

lateral area = π * r * slant height = π * 4 * 16 = 128π

Using π ≈ 3.14

we can estimate the lateral area of the cone:

lateral area ≈ 128 * 3.14 = 401.12

Rounding to the nearest whole number, the lateral area of the cone is approximately 401 cm².

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Answer: 201 cm  is the answer

Step-by-step explanation: i took the quiz

The interior angle of a parallelogram is proportional to the measure of another angle with a ratio of 0.25:1.

A parallelogram is a four-sided flat shape that has opposite sides that are parallel and equal in length. The sum of the interior angles of a parallelogram is equal to 360 degrees. If the measure of one interior angle is 0.25 times the measure of another angle, this means that there is a proportionate relationship between the two angles. To find the measure of the second angle, we can use the formula:

Angle 2 = (Angle 1) / 0.25

For example, if Angle 1 is 100 degrees, then Angle 2 is 100 / 0.25 = 400 degrees. This means that if one angle measures 100 degrees, the other angle measures 400 degrees. The sum of the two angles is 500 degrees, which is still less than the total sum of interior angles in a parallelogram, which is 360 degrees.

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Answer:

y = − 4 +2x/3

Step-by-step explanation:

The given binary integer program represents a decision problem for selecting potential locations for new warehouses. The objective is to maximize the net present value, subject to several constraints. Let's analyze the program:

Objective:

Maximize 20x1 + 30x2 + 10x3 + 15x4

Decision Variables:

x1, x2, x3, x4 (binary variables representing the selection of each location)

Constraints:

Constraint 1: 5x1 + 7x2 + 12x3 + 11x4 ≤ 21

This constraint represents the limitation on the total budget/capital available for the new warehouses.

Constraint 2: x1 + x2 + x3 + x4 ≥ 2

This constraint ensures that at least two locations are selected for the new warehouses.

Constraint 3: x1 + x2 ≤ 1

This constraint limits the selection to a maximum of one location from the first two potential locations.

Constraint 4: x1 + x3 ≥ 1

This constraint ensures that at least one location is selected from the first and third potential locations.

Constraint 5: x2 = x4

This constraint imposes the condition that the selection of the second and fourth potential locations must be the same.

The binary variables x1, x2, x3, and x4 can take values of 0 or 1, indicating whether a particular location is selected or not.

The objective is to maximize the net present value of the decision while satisfying the budget constraint and the conditions for the number and specific locations of the warehouses. The values of x1, x2, x3, and x4 will determine the optimal selection of locations that maximize the objective function while meeting all the given constraints.

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Let's start by representing the initial ratio of dolls owned by Ernest and Deon: Initial ratio: Ernest : Deon = 8 : 3.

Next, we need to calculate how many dolls Ernest gave to Deon. Given that Ernest gave one eighth of his dolls to Deon, we can find this quantity by dividing the total number of Ernest's dolls by 8: Number of dolls Ernest gave to Deon = (1/8) * Total number of Ernest's dolls. Now, let's calculate the remaining number of dolls Ernest had: Remaining number of dolls Ernest had = Total number of Ernest's dolls - Number of dolls Ernest gave to Deon. Finally, we can find the ratio of dolls Ernest had left to the number of dolls Deon had: Final ratio: (Remaining number of dolls Ernest had) : (Number of dolls Deon had).

It's important to note that we need more information, specifically the total number of dolls Ernest had, to determine the exact values and calculate the final ratio.

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Therefore, the percentage of girls in the school is approximately 49.02% and the percentage of boys in the school is approximately 50.98%.

Percent, denoted by the symbol "%", is a way of expressing a number as a fraction of 100. It is often used to represent a portion or a part of a whole as a percentage. For example, if there are 20 red balls out of a total of 100 balls, then the percentage of red balls is (20/100) x 100% = 20%. It is a common way of expressing ratios, proportions, and changes in quantity.

Here,

To find the percentage of girls and boys in the school, we need to first find the total number of students in the school.

Total number of students = 250 (girls) + 260 (boys) = 510

Percentage of girls = (Number of girls / Total number of students) x 100%

= (250 / 510) x 100%

= 49.02%

Percentage of boys = (Number of boys / Total number of students) x 100%

= (260 / 510) x 100%

= 50.98%

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Answer:

The correct option is;

The price of a pizza and the number of toppings added

Step-by-step explanation:

A positive correlation is one in which the variables being correlated, progress in the same direction, such that an increase in one variable will lead o an increase in the other variable;

The price of a pizza  depends on the size of the pizza and the price increases for each additional topping added, such that the price of the pizza will increase as the number of toppings is increased

The variable, the height of the candle and the variable, the length of time it stays on, are positively correlated because, the two variables depends on each other whereby the time it takes to completely burn a candle increases as the length of the candle increases, however, the candle can be put out depending on usage, even if it can stay lit for a longer period of time.

Using the binomial distribution, it is found that there is a 0.9815 = 98.15% probability that at least one of them has been vaccinated.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, the values of the parameters are:

n = 5, p = 0.55

The probability that at least one of them has been vaccinated is given by:

\(P(X \leq 1) = 1 - P(X = 0)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.55)^{0}.(0,45)^{5} = 0.0185\)

Then:

\(P(X \leq 1) = 1 - P(X = 0) = 1 - 0.0185 = 0.9815\)

0.9815 = 98.15% probability that at least one of them has been vaccinated.

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The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .

We need to Know about Hypothesis testing and independent t test to answer this-

Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.

An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.

We can find the difference caffeine content following these steps -

1)H0=Null hypothesis=tea and coffee has same caffeine level

HA=tea and coffee has different caffeine level

2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.

The t value obtained should be then performed under hypothesis testing.

3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.

Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.

Hence null hypothesis will be rejected.

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Assuming those lines are parallel, then this means the alternate interior angles are the same measure

3x-26 = 2x

3x-26+26 = 2x+26 ... adding 26 to both sides

3x = 2x+26

3x-2x = 2x+26-2x ... subtracting 2x from both sides

3x-2x = 26

Evaluating this integral will give us the volume of the solid obtained by rotating the given region about the line x = 3.

The volume of the solid obtained by rotating a region enclosed by two curves about a line can be calculated using the method of disks or washers via an integral.

To apply the method, we consider the region between the curves y = x^2 and y = 3x. The line x = 3 acts as the axis of rotation. We want to find the volume of the solid formed by rotating this region.

The method of disks or washers involves dividing the region into infinitely thin slices perpendicular to the axis of rotation. Each slice represents a disk or washer. The volume of each disk or washer is calculated using its radius and thickness.

In this case, we choose the variable x as our integrating variable. The radius of each disk or washer is the distance between the axis of rotation (x = 3) and the corresponding curve. The thickness of each disk or washer is dx, representing an infinitely small change in x.

By integrating the volumes of all the disks or washers over the interval of x values that enclose the region, we can find the total volume of the solid. The integral will involve the square of the radius function and will depend on the limits of integration determined by the intersection points of the curves.

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The area of the square is 144 \(cm^{2}\).

Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.

We know, both these perimeters are equal. Hence,

4x = 3(x+4)

To further simplify the above equation.

4x = 3x + 12

x = 12

Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:

Area = \((side)^{2}\)

Area = 12 * 12

Area = 144 \(cm^{2}\)

Hence, the Area of the Square is 144 \(cm^{2}\)

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Answer: x ≥ - 3

5x - 1 ≥ -4(x + 7)

⇔ 5x - 1 ≥ - 4x -28

⇔ 5x + 4x ≥ - 28 + 1

⇔ 9x ≥ - 27

⇔ x ≥ - 3

Step-by-step explanation:

Answer: x ≥ -3

Hope this helps

There are 775200 possible committees with three women and three men from a club with 20 women and 17 men.

The number of ways to choose 3 women out of 20 is given by the combination formula:

C(20,3) = 20! / (3! * (20-3)!) = \(\frac{201918}{ (321)}\) = 1140

Similarly, the number of ways to choose three men from 17 men is:

C(17,3) = 17! / (3! * (17-3)!) = \(\frac{171615}{321}\) = 680

Therefore, the total number of possible committees with three women and three men is:

1140 * 680 = 775200

The combination formula, also known as the binomial coefficient formula, is a mathematical formula used to calculate the number of ways that k objects can be chosen from a set of n objects without regard to the order in which they are chosen. It is denoted by the symbol "n choose k" and is represented mathematically as "n choose k = n! / (k! * (n-k)!)".

The combination formula is commonly used in probability theory and statistics to calculate the number of ways that a certain outcome can occur. For example, if there are 10 people in a room and you want to choose 3 of them to form a committee, the combination formula can be used to calculate the number of possible committees that can be formed.

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So the measure of angle HLK is 45 degrees.

In geometry, an arc is a part of a curve that is typically a segment of a circle. It is defined by any two points on the curve, which are called its endpoints, and by all the points that lie along the curve between those two endpoints. An arc can be measured by its degree measure, which is the measure of the central angle that intercepts the arc, or by its length, which is the distance between its endpoints along the curve. In the context of a circle, an arc is also called a circular arc.

Here,

Since the measure of minor arc HK is 90°, we know that angle HJK is also 90°, since it is an inscribed angle that intercepts the same arc.

By the inscribed angle theorem, the measure of angle HLK is half the measure of arc HK. Therefore,

measure of angle HLK = 1/2 * measure of arc HK

= 1/2 * 90°

= 45°

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The probability that a randomly selected person from the group will have a systolic blood pressure below 112 is 0.0548.

To find the probability that a randomly selected person from the group will have a systolic blood pressure below 112, we need to standardize the variable using the z-score formula:

z = (x - μ) /σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation.

For this problem, we have:

z = (112 - 120) / 5 = -1.6

Now, we need to find the probability that Z (the standardized variable) is less than -1.6. We can do this by using a standard normal distribution table.

Using a standard normal distribution table, we find that the probability of Z being less than -1.6 is approximately 0.0548.

Therefore, the probability that a randomly selected person from the group will have a systolic blood pressure below 112 is approximately 0.0548 or 5.48%.

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Answer:

\(\frac{1}{18}\)

Step-by-step explanation:

Given:

Flavors of ice cream are vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip.

Number of scoops can be 1, 2 or 3.

To find: probability of someone choosing cookies 'n cream ice cream with 2 scoops

Solution:

Probability refers to chances of occurrence of some event. Two events A and B are said to be independent if probability of one event does not depend on the probability of the other event.

For such events,

P(A and B)= P(A)×P(B)

Probability = number of favourable outcomes/Total number of outcomes

In the given question, cookies 'n cream ice cream with 2 scoops can be in a cone or a cup.

Therefore,

probability of someone choosing cookies 'n cream ice cream with 2 scoops =( probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cup )+ (probability of choosing cookies 'n cream ice cream × probability of having two scoops of ice-cream × probability of having ice-cream in a cone )

= \(\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )+\left ( \frac{1}{6} \right )\left ( \frac{1}{3} \right )\left ( \frac{1}{2} \right )\)

=\(=\frac{1}{36}+\frac{1}{36}\\=\frac{2}{36}\\=\frac{1}{18}\)

Answer: A. (5)(5x+2y)

Step-by-step explanation:

Answer:

graph A  

Hope that helps!                                                                                                  

Answer: Graph a

Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.