William is creating a film for a school project using a digital video camera.

William transfers the videos to a computer for editing.

(i) The computer has 1GB of storage free.

Calculate the number of videos that could be stored on the computer if each video was 100MB in size.

Show your working.

(ii) A program needs to calculate the size of files in bytes. The program must:

· Ask the user to input a file size in megabytes
· calculate and output the number of bytes this represents in a user friendly format.
(e.g. "There are 5242880 bytes in 5MB").

Write an algorithm using pseudocode to calculate the number of bytes in a given number of megabytes.

The lengths of all four sides of parallelogram ABCD:

AB = 15 cm, BC = 33 cm, CD = 15 cm and AD = 33 cm

Consider a parallelogram ABCD

Let's assume that x represents the length of sides AD and BC

y be the length of sides AB and CD

We know that the formula for the perimeter of parallelogram is

P = 2(length + width)

Here,  AD is 3 cm more than twice AB

So we get an expression,

AD = 3 + 2(AB)

AD = 3 + 2y

x  = 3 + 2y

USing above formula of perimeter, the perimeter of parallelogram ABCD would be,

P = 2(x + y)

96 = 2(3 + 2y + y)

48 = 3 + 3y

45 = 3y

y = 15 cm

And x = 3 + 2(15)

x = 33 cm

Therefore, the lengths of sides AD and BC =  33 cm and the lengths of sides AB and CD = 15 cm

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the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".It's possible intended question was to solve variable "if" in the equation "3 + 2 if = 7". In that case, we use algebra to solve for "if" as follows:

what is  variable ?

In mathematics, a variable is a symbol or letter that represents a quantity that can vary or change in value. Variables are used to express relationships between different quantities and to solve equations.

In the given question,

It seems like the question is incomplete or there may be a typo. The equation provided "3 + 2 if = 7" is not solvable as it is.

It's possible that the intended question was to solve for the variable "if" in the equation "3 + 2 if = 7". In that case, we can use algebra to solve for "if" as follows:

First, we can isolate the variable term by subtracting 3 from both sides of the equation:

3 + 2 if - 3 = 7 - 3

Simplifying the left-hand side:

2 if = 4

Finally, we can solve for "if" by dividing both sides by 2:

if = 2

Therefore, the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".

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Someone js help me answer this question:

. simplify  3 + 2 if = 7 ?

We reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100, with a type I error rate of 10% and a p-value of 0.0068 indicating a low probability of obtaining the observed sample mean if the null hypothesis were true.

To test if the true average temperature of COVID patients exceeds 100, we can use a one-sample z-test.

The null and alternative hypotheses are

Null hypothesis: The true average temperature of COVID patients is less than or equal to 100.

Alternative hypothesis: The true average temperature of COVID patients exceeds 100.

We can calculate the test statistic as

z = (x - μ) / (σ / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (100 in this case), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get

z = (101.2 - 100) / (6 / sqrt(56))

z = 2.47

We can find that the p-value is 0.0068. This means that if the true average temperature of COVID patients is actually 100, there is only a 0.68% chance of getting a sample mean of 101.2 or higher.

Since the alpha level is 10%, and the p-value is less than 10%, we reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100.

The type of error that could have occurred is a type I error, which is rejecting the null hypothesis when it is actually true. The probability of a type I error is equal to the chosen alpha level, which is 10% in this case.

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The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or the alpha error.

The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or alpha error.

It refers to the probability of rejecting a true null hypothesis (in this case, the process is in control) when it should not be rejected. In other words, it is the probability of concluding that there is a problem with the process when there is actually no problem, and the observed value is simply a result of random variation.

This means that the value appears to be abnormal, but it is actually just a result of the natural variation in the process. It is important to minimize the risk of Type I errors to ensure that only truly abnormal values are addressed and corrected.

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According to simple interest, Sally initially put $1,150 into the savings account.

To solve this problem, we need to use the formula for simple interest, which is:

Simple Interest = Principal x Rate x Time

We know that the interest earned is $745.20, the rate is 7.2%, and the time is 9 years. We can plug these values into the formula and solve for the principal:

$745.20 = Principal x 0.072 x 9

$745.20 = 0.648 x Principal

Principal = $1,150

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Answer: 1,200

Step-by-step explanation: 1,300 - 100 = 1,200

Answer:

the two-digit number is 65.

Step-by-step explanation:

Let's assume that the tens and units digits of the two-digit number are x and y, respectively.

According to the given condition,

10x + y < 6(x + y) - 1 (less than 6 times the sum of its digits by 1)

Simplifying the above equation, we get:

4x - 5y < -1 (dividing both sides by 2)

Also, it is given that the difference between the digits is 1, so we can write:

x - y = 1 (difference between the digits is 1)

Now, we need to solve these two equations to find the values of x and y.

Multiplying the second equation by 4, we get:

4x - 4y = 4

Adding this equation to the first equation, we get:

4x - 5y + 4x - 4y = 3

Simplifying the above equation, we get:

8x - 9y = 3

Now, we can solve these two equations simultaneously to find the values of x and y.

Multiplying the second equation by 8, we get:

8x - 8y = 8

Subtracting this equation from the previous equation, we get:

y = 5

Substituting this value of y in the equation x - y = 1, we get:

x - 5 = 1

x = 6

Therefore, the two-digit number is 65.

The correct answer is C) 11 x 10^8.

Scientific notation is a way of writing very large or very small numbers in a compact and convenient form.

To add these two numbers, we need to make sure they have the same exponent. We can do this by converting 7.7 x 10^5 to scientific notation with an exponent of 7:

(3.3 x 10^7) + (7.7 x 10^5) = (3.3 x 10^7) + (7.7 x 10^5) x (10^2 / 10^2)

= (3.3 x 10^7) + (7.7 x 10^7) / 10^2

= (3.3 + 7.7 x 10^-2) x 10^7

= 11 x 10^8

Therefore, the answer is C) 11 x 108.

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The area of the composite shape are

1. Orange

2. Light blue

3. Purple

4. Green

5. Red

6. Yellow

7. Light green

8. Yellow

9. Dark blue

10. Pink

The area of the composite shapes are solved as follows

1. rectangles

= 7 * 3 + (15 - 7) * 1.5

= 21 + 12

= 33 square cm

2.

= 39 x 4 + 0.5(39 + 26) x (18 - 4)

= 156 + 455

= 611 square m

3.

= 12 * 15 + 0.5 x 15 x 10

= 180 + 75

= 255 square ft

4.

= 15 x 7 + 0.5 x π x 3.5 x 3.5

= 105 + 19.24

= 124.2 square cm

5.

= 0.5 x 10 x 22 - 0.5 x 6 x 12

= 110 - 36

= 74 square yd

6.

= 0.5 x π x 3 x 3 + 0.5 x 6 x 11

= 14.14 + 33

= 47.1 square m

7.

= 18 x 6 - 2 x π x 2 x 2

= 108 - 25.13

= 82.8 square m

8.

= 4 x 16 + 0.5 (16 + 10) x (8 - 4)

= 64 + 52

= 116 square cm

9.

= 18 x 8 - 4 * 0.5 x 4 x 4

= 144 - 32

= 112 square cm

10.

= [0.5 (7 + (9 + 3)) x (15 + 6 - 17)] + [(17 - 6) x (9 + 3)] + [6 x 9]

= 38 + 132 + 54

= 224 square cm

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Answer:

The Circumference of the circle shown in the picture is 87.96

Step-by-step explanation:

The formula in order to find the circumference is C=2πr.

r in this example is 14

so C= 2 * π * 14

π is always a constant value so all you have to do is add it to the calculator to get your answer.

Hope this helps!

The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values given, we get:

(x - 3)^2 + (y + 4)^2 = 6^2

Expanding and simplifying, we get the final equation of the circle:

(x - 3)^2 + (y + 4)^2 = 36

Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

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The equation b = 12 - (-3) would help to answer question C, "The temperature was -3 degrees and rose to 12 degrees. How much did the temperature change?"

This is because the equation b = 12 - (-3) simplifies to b = 12 + 3, which gives us the value of b (the temperature change) when the starting temperature was -3 degrees and the final temperature was 12 degrees.

The subtraction of a negative number (i.e., -3) is the same as adding its absolute value (i.e., 3), so the equation can be rewritten as b = 12 + 3. Therefore, the value of b is 15, which represents the temperature change from -3 degrees to 12 degrees.

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The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.

From the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2

The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.

Complete Question:

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

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After Jenny invested the $1900 in a 5-year CD,

A) Given principal money (P) = $1900

Rate of interest (r) = 1.47% / 100 = 0.047

number of times interest compounded per year (n) = 4

number of years (t) = 5

Amount Jenny will have after 5-years (A) = [tex]p(1+r/n)^{nt}[/tex]

A = [tex]1900(1+0.047/4)^{4*5}[/tex]

A = [tex]1900(1 + 0.01175)^{20}[/tex]

A = [tex]1900(1.01175)^{20}[/tex]

A = 1900(1.2631) ≅ $2400

B) Interest earned after 5 years = $2400 - $1900 = $500.

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The distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).

To determine the distance between Thomas St and Denny Way on Broad St, we can use the Pythagorean theorem.

Let x be the distance between Thomas St and Denny Way on Broad St. We can draw a right triangle where the hypotenuse is 0.2 miles (the distance between Thomas St and Denny Way on Aurora Ave), and one leg is x (the distance between Thomas St and Denny Way on Broad St). The other leg is the distance between Aurora Ave and Broad St.

Using the Pythagorean theorem, we have:

[tex]0.2^2 = x^2 + d^2[/tex]

where d is the distance between Aurora Ave and Broad St.

Assuming d is negligible, we can solve for x:

[tex]x^2 = 0.2^2 - d^2x^2 = 0.2^2x = sqrt(0.2^2) = 0.2[/tex]

Therefore, the distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).

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I choose City Bus as mode of transport since from function rule it is clear that the per mile cost for City Bus is lesser than any other transportation.

Option 1: Let the model for Taxi be f(x) = ax + b, where f(x) is total cost and x is number of miles.

From the table of Taxi we get, f(3) = 26.95; f(6) = 28.90; f(9) = 30.85 and f(12) = 32.80.

So, 3a + b = 26.95 and 6a + b = 28.90

So, (6a + b) - (3a + b) = 28.90 - 26.95

3a = 1.95

a = 1.95/3 = 0.65

Now, f(9) = 30.85

9*0.65 + b = 30.85

5.85 + b = 30.85

b = 30.85 - 5.85 = 25

So the model is, f(x) = 0.65x + 25

Option 2: Let the model for City Bus be f(x) = cx + d, where f(x) is total cost and x is number of miles.

From the table of Taxi we get, f(2) = 0.60; f(4) = 1.20; f(6) = 1.80 and f(8) = 2.40.

So, 2a + b = 0.60 and 4a + b = 1.20

(4a + b) - (2a + b) = 1.20 - 0.60

2a = 0.60

a = 0.60/2 = 0.30

Now, f(8) = 2.40

8*0.30 + b = 2.40

2.40 + b = 2.40

b = 2.40 - 2.40 = 0

So the function rule for City Bus is, f(x) = 0.3x.

Option 3: From the graph of Light Rail we can see that for any distance travelled total cost remains same that is 15.

So the function rule for Light Rail will be a constant function is, f(x) = 15

Option 4: Let the model for Motorized Scooter be f(x) = mx + n, where f(x) is total cost and x is number of miles.

From the graph we can see that, f(0) = 5, f(1) = 6, f(3) = 8 etc.

So, n = 5

and m + n = 6

m + 5 = 6

m = 6 - 5 = 1

Hence the function rule for Motorized Scooter is, f(x) = x + 5.

Hence I choose City Bus as mode of transportation as the per mile cost for that transportation mode is less than any other.

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Answer:

- w - 24

Step-by-step explanation:

- 4(w + 6) + 3w ← multiply each term in the parenthesis by - 4

= - 4w - 24 + 3w ← collect like terms

= (- 4w + 3w) - 24

= - w - 24

To verify that fxy = fyx for the given function f(x,y)=e^(x+y+3), we need to find the partial derivatives of f with respect to x and y, and then check if they are equal.

Let's begin by finding the partial derivative of f with respect to x (f_x): f_x = (∂f/∂x) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the partial derivative of f with respect to y (f_y): f_y = (∂f/∂y) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the mixed partial derivative of f with respect to x and y (f_xy): f_xy = (∂^2 f/∂y∂x) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Similarly, the mixed partial derivative of f with respect to y and x (f_yx) can be found as: f_yx = (∂^2 f/∂x∂y) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, we can see that fxy = fyx, as both are equal to e^(x+y+3). Hence, we have verified that the given function f(x,y)=e^(x+y+3) satisfies the condition fxy = fyx.

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The primary condition for which a patient is receiving care is communicated to the third-party payer through a diagnosis code on the healthcare claim.

The diagnosis code is a standardized code that represents the patient's medical condition or illness as determined by the healthcare provider. These codes are typically based on the International Classification of Diseases (ICD) coding system, which is used worldwide for reporting diagnoses and medical procedures.

By including the appropriate diagnosis code on the healthcare claim, healthcare providers can communicate to third-party payers the reason for the services or procedures provided. This information is essential for processing and reimbursing healthcare claims accurately and efficiently.

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The primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) ICD (International Classification of Diseases) code on the healthcare claim.

The ICD code serves as a standardized system for classifying diseases and health conditions, enabling clear

communication between healthcare providers and third-party payers.

The primary condition for which a patient is receiving care is communicated to the third-party payer through a

diagnosis code on the healthcare claim. Diagnosis  codes, also known as ICD codes (International Classification of

Diseases codes), are standardized codes that represent the specific medical condition or disease being treated by the

healthcare provider.

These codes are used to ensure accurate and timely payment for services rendered and to track healthcare utilization

and outcomes.

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From the defined functions in problem, the functions that are mapped from z to z, and onto functions are f(n) = n - 1, [tex] f( n) = [\frac{n}{2}] [/tex]. So, option(a) and option(d) are right choice.

Onto functions work on the codomain. Here we want to check if it contains elements not associated with any element in the domain. Definition: A function f: A→B is onto if, for every element b∈B, there exists an element a∈A such that f(a)=b. An onto function is also called surjective. We have a number of functions that are mapped from Z to Z and we will identify which is onto function or not. Let's consider each one by one

a) f : Z→Z such that f( n) = n - 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m - 1 = m -1 i.,e., f(a) = b. So, it is an onto function.

b) f : Z→Z such that f( n) = n² + 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m² + 1 i.,e., two values of m exist and f(a) ≠ b.So, it is not onto function.

c) f : Z→Z such that f( n) = n³ ( cubic function), If f(n) = 2, where n( domain) and 2 (co-domain)

=> n³ = 2

=> n = 2⅓

So, it is not onto function.

d) f : Z→Z such that,[tex]f( n) = [\frac{n}{2}] [/tex]

For all m∈Z( Co-domain) and consider 2m∈Z( domain) s.t f( 2m) = [tex]f(2m) = [\frac{2m}{2}] [/tex]

= m

So, for every m there exits 2m such that, f(2m) = m. Hence, the onto functions are f( n) = n - 1 and [tex]f( n) = [\frac{n}{2}] [/tex].

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Answer: B symmetric

Step-by-step explanation:

Since every value in a constant-distribution has the same chance of happening, the distribution is symmetric. The mean and median are both identical to this value because there is only one value, which also makes it the mode.

The mode may or may not be equal to the mean and median for a symmetric distribution, but they are always equal. The mean is often higher than the median and the mode may be lower than the median in a positively skewed distribution. The mode may be higher than the median and the mean is often lower in a negatively skewed distribution.

A constant-probability distribution is a form of probability distribution in which the likelihood of each possible result is the same. In other words, there is an equal chance of each outcome.

Therefore , The Constant-distribution is a sort of probability distribution where the mean, median, and mode are all equal.

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Your answer is option b)

The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.

Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes

Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours

Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)

Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.

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Answer:

17/12

Step-by-step explanation:

What is the missing number in [_] -3/4=2/3?

Let the missing number be x

We have

x - 3/4 = 2/3

x = 2/3 + 3/4

x = 8/12 + 9/12

x = 17/12

So, the missing number is 17/12

The account value after forty years is approximately $489,074,140.57.

To calculate the account value after forty years, we need to use the formula for the future value of an annuity:

[tex]FV = P * [(1 + r)^n - 1] / r[/tex]

where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods.

In this case, we have:

P = $3,000 in year 1, and then $3,300 in year 2, $3,600 in year 3, and so on

r = 8.35% = 0.0835 (assuming the interest rate is compounded annually)

n = 40 years

To compute the future worth of the annuity, we really want to ascertain the aggregate sum of installments over the 40 years. This should be possible involving the equation for the amount of a number-crunching series:

S = n/2 * [2a + (n-1)d]

where S is the sum, a is the first term, d is the common difference, and n is the number of terms.

In this case, we have:

a = $3,000

d = $300

n = 40

Plugging these values into the formula, we get:

S = 40/2 * [2($3,000) + (40-1)($300)] = $2,340,000

Thus, the aggregate sum of installments more than 40 years is $2,340,000.

We can now enter these figures into the formula for annuity future value:

[tex]FV = P * [(1 + r)^n - 1] / r[/tex]

[tex]FV = $2,340,000 * [(1 + 0.0835)^{40} - 1] / 0.0835[/tex]

FV = $2,340,000 * 209.251

FV = $489,074,140.57

Consequently, after forty years, the account's value is approximately $489,074,140.57.

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Answer:

To solve this problem, we need to calculate the compound interest on the loan over the 9-year period. We can break this down into two parts: the first 5 years, during which the interest rate is 7%, and the remaining 4 years, during which the interest rate is 11%.

For the first 5 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

where A is the amount after t years, P is the principal (the initial amount borrowed), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $1350, r = 0.07, n = 1 (compounded annually), and t = 5. Plugging in these values, we get: A = 1350 * (1 + 0.07/1)^(1*5) = $1872.73 (rounded to the nearest cent)

So after 5 years, Imaan owes $1872.73.

For the remaining 4 years, we can use the same formula with r = 0.11 and t = 4: A = 1872.73 * (1 + 0.11/1)^(1*4) = $2959.77 (rounded to the nearest cent)

So after 9 years, Imaan owes $2959.77. However, this is the amount she would owe if she paid back the loan in a single payment at the end of 9 years. If she pays back the loan in installments, she will need to pay interest on the outstanding balance each year. Without information about the payment schedule, we can't calculate the exact amount she will have to pay back.

The amount Imaan has to pay back, after 9 years at 5% and 11% per annum interest, obtained using the compound interest formula is about $2,616

A compound interest is an interest calculated using based on the interest earned on from previous periods of the investment or loan.

The amount, A, Imaan pays back after 9 years can be obtained using the compound interest formula as follows;

A = P·(1 + r)ⁿ

Where;

P = The principal amount borrowed = $1,350

r = The interest rate = 7% and 11%

n = The number of years = 5 years and (9 - 5) years

The value of the loan after the first 5 years is therefore;

A = $1350 × (1 + 5/100)⁵ ≈ $1722.98

The value of the loan after the next four years, at 11% per annum, interest rate is therefore;

A = $1,722.98 × (1 + 11/100)⁴ ≈ $2616

The value of the loan, and the amount Imaan has to pay back after the 9 years is about $2,616

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Answer:

1

Step-by-step explanation:

Use PEMDAS rules to answer this.

Parentheses first:

[tex](24-59)=-35[/tex]

Division next:

[tex]48:2=24[/tex]

Subtraction:

[tex]24-60=-36[/tex]

Currently we have:

[tex](-35)-(-36)[/tex]

This becomes:

[tex]-35+36 = 1[/tex]