if you were given the following statements write your conclusion
if you are given :
Answer:
ab and cd intersect at E because they are vertically opposite angles they always intersect at a point
Lori went to the movies. She spent 9.50$ for a movie ticket, $5.50 for a box of popcorn, and $2.25 for a drink. How much did Lori spend in all?
Answer:
$17.25
Step-by-step explanation:
Just add all the numbers together to find the answer! <3
There are between 60 and 100 children at the sunny side holiday camp. When the children are put into pairs, there is 1 child left. When they are put into groups of 5, there is 1 child left. When they are put into groups of 8, there is 1 child left. How many children are there at the camp ?
Based on the information provided, there are 81 children at the sunny side holiday camp.
We can solve this problem using algebra.
Let's assign a variable to represent the number of children at the camp.
Let's call the number of children "x". We know that when the children are put into pairs, there is 1 child left.
This means that the number of children must be odd.
We also know that when the children are put into groups of 5, there is 1 child left.
This means that the number of children must be 1 more than a multiple of 5.
Finally, when the children are put into groups of 8, there is 1 child left.
This means that the number of children must be 1 more than a multiple of 8.
From these conditions, we can write the following equation:
x ≡ 1 (mod 2)
x ≡ 1 (mod 5)
x ≡ 1 (mod 8)
By finding the least common multiple of 2, 5, and 8, we can determine the possible values for x.
The least common multiple of 2, 5, and 8 is 40.
Therefore, the possible values for x are 41, 81, 121, and so on.
However, we also know that the number of children is between 60 and 100.
Therefore, the only possible value for x in this range is 81.
So, there are 81 children at the sunny side holiday camp.
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A pair of shorts cost $14. If they are on sale for 40% off, what is the sale price of the shorts?
Answer:8.4
Step-by-step explanation:
Ten percent of 14 is 1.4 so add 1.4 4 times or multiple 1.4 by 4 and you get 5.6, then subtract 14 by 5.6 and you get 8.4
Dana earns $20 per hour working at the local grocery store and gets a flat overtime amount of $50 per week. x = number of hours y = weekly pay
please help write the equation out and tell me if it’s linear or exponential?
are these equations parallel, perpendicular, or neither?
y = 2/3x + 5 and 3y - 21 = 2x
Answer: it’s parallel
Step-by-step explanation:
the sample data is 30, 37, 36, 43, 42, 43, 43, 46, 41, 42. estimate the population mean ???? of the underlying distribution by calculating a best point estimate and by giving a 80% bootstrap confidence interval (you can decide how many resampling you want to do: may be around 10,000)
The best point estimate for the population mean is approximately 40.3. The resulting distribution of sample means might exhibit a normal-like shape. From this distribution, we can find the lower and upper bounds that correspond to the 10th and 90th percentiles, respectively.
The best point estimate for the population mean, denoted as μ, can be calculated by taking the average (mean) of the sample data.
Calculating the best point estimate:
Using the given sample data of 30, 37, 36, 43, 42, 43, 43, 46, 41, and 42, we can calculate the sample mean by adding up all the values and dividing by the total number of observations:
(30 + 37 + 36 + 43 + 42 + 43 + 43 + 46 + 41 + 42) / 10 = 403 / 10 = 40.3
Hence, the best point estimate for the population mean is approximately 40.3.
To calculate an 80% bootstrap confidence interval for the population mean, we perform resampling with replacement from the given sample data. By randomly sampling the data multiple times (e.g., around 10,000), we can create bootstrap samples of the same size as the original sample. For each bootstrap sample, we calculate the sample mean and collect these means.
By sorting the collected means, we can determine the lower and upper percentiles of the bootstrap distribution. Since we want an 80% confidence interval, we look for the 10th percentile and the 90th percentile.
Performing the bootstrap simulation, the resulting distribution of sample means might exhibit a normal-like shape. From this distribution, we can find the lower and upper bounds that correspond to the 10th and 90th percentiles, respectively. These bounds would form the 80% bootstrap confidence interval for the population mean.
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Review Questions
1. Cindy is a baker and runs a large cupcake shop. She has already
a. How many workers will the firm hire if the market wage rate is
hired 11 employees and is thinking of hiring a 12th. Cindy esti- $27.95 ? \$19.95? Explain why the firm will not hire a larger or mates that a 12 th worker would cost her $100 per day in wages $ smaller number of units of labor at each of these wage rates. and benefits while increasing her total revenue from $2,600per. day to $2,750 per day. Should Cindy hire a 12 th worker? b. Show this firm Explain. L016.2 c. Now again determine the firm's demand curve for labor. Complete the following labor demand table for a firm that is assuming that it is selling in an imperfectly competitive marhiring labor competitively and selling its product in a competiket and that, although it can sell 17 units at $2.20 per unit, it tive market. L016.2 ginal product of each successive labor unit. Compare this demand curve with that derived in part b. Which curve is more elastic? Explain. 3. Alice runs a shoemaking factory that uses both labor and capital to make shoes. Which of the following would shift the factory's demand for capital? You can select one or more correct answers from the choices shown. LO16.3 a. Many consumers decide to walk barefoot all the time. b. New shoemaking machines are twice as efficient as older machines. c. The wages that the factory has to pay its workers rise due to an economywide labor shortage.
Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.
a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.
b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.
c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.
Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.
The events that would shift the factory's demand for capital are:
a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.
b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.
The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.
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Colette is considering switching to a cell phone plan with unlimited texting. She currently
pays $38 per month for service, plus $0.20 per text. That adds up fast!
Write an equation that shows how the total monthly cost, y, depends on the number of texts,
X.
Do not include dollar signs in the equation.
y =
Answer:
y= 38 + 0.20x
The equation will be y=38+0.20x where x is the number of texts and y is in dollars.
What is equation?An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.
It is known that the fixed payment is of $38 and each text costs $0.20.
Assume Colette sends x texts in a month and y be the total cost.
Determine the monthly cost equation.
Total cost= Fixed cost+ x(cost of each text)
y=38+0.20x
So, the total monthly cost will be represented by the equation, y=38+0.20x.
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what sample size is necessary if the 95% ci for p is to have a width of at most 0.14 irrespective of p?
385 Sample size is necessary is the 95% confidence Interval for p .
Sample Size:
Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population. Sampling is the process of selecting a subset of individuals from a population to estimate characteristics of the population as a whole. The number of entities within a subset of the population is selected for analysis
According to the Question:
The Necessary Sample Size is calculated as follows:
Necessary Sample Size =
(Z-score)² * Std Dev*(1-StdDev) / (margin of error)²
For example, given a 95% confidence level, 0.5 standard deviation, and a margin of error (confidence interval) of +/- 5%. Necessary Sample Size =
= (1.96)² x 0.5(0.5)) / (0.05)²
= (3.8416 x 0.25) / .0025
= 0.9604 / 0.0025
= 384.16
So in order to get 95% confidence level, with confidence interval of +/- 5%, and standard deviation of 0.5, I have to survey 385 samples.
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Cuando A =
b.h
2
es resuelto por h el resultado es:
Area del triangulo = base por altura/2
A = b*h/2
A = 22,5cm²
Base = 5cm
a = b*h/2
22,5cm² = 5cm /h
22,5cm²/5cm = h
4,5cm = h
What is Area del?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
La altura del triangulo es de 4,5cm
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4+8 890-5+764+88=765678987654
Answer:
no its 1749
Step-by-step explanation:
an ocean depth finder shows the number of feet in the depth of water at a certain place. the difference between d, the actual depth of the water, and the depth finder reading, x, is id - xi and must be less than or equal to 5% of the actual depth. if the depth finder reading is 620 feet, what is the greatest number of feet of the actual depth of the water?
The greatest actual depth of the water is approximately 590 feet, given that the depth finder reading is 620 feet and the difference between the actual depth and the reading must be within 5% of the actual depth.
Let d be the actual depth of the water, and x be the depth finder reading. According to the problem, the difference between the actual depth and the depth finder reading must be less than or equal to 5% of the actual depth. This can be expressed as:
|d - x| ≤ 0.05d
Simplifying this inequality, we get:
-0.05d ≤ d - x ≤ 0.05d
Adding x to both sides of the inequality, we get:
x - 0.05d ≤ d ≤ x + 0.05d
We are given that x = 620 feet, so we can substitute this value into the inequality:
620 - 0.05d ≤ d ≤ 620 + 0.05d
Simplifying this inequality, we get:
0.95d ≤ 620 ≤ 1.05d
Dividing both sides of the inequality by 1.05, we get:
0.90476d ≤ 590.476 ≤ d
Therefore, the greatest number of feet of the actual depth of the water is approximately 590 feet.
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A shop has an offer on jumpers as shown below.
Buy 4 jumpers and get 1 free!
Kara gets 6 jumpers.
After applying the offer, each one ends up costing £8.50 per jumper.
What is the regular cost of one jumper when not in this offer?
Answer:
Step-by-step explanation:
1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.
21
4 = 420= 15 bracelets
7 28
20
Answer:
10.20 regular cost
Step-by-step explanation:
8.50 x 6 = 51 total
51/5 = 10.20
A. Line m contains the points, A(–2, 6) and B(4, 8), while line n contains the C(8, 12) and D(x, 24).
a.) Given m and n are perpendicular lines, solve for the value of x.
b.) Given m and n are parallel lines, solve for the value of x.
In your final answer, include all formulas and calculations necessary to solve for x.
Using perpendicular slope property, when lines m and n are perpendicular, x = -40 and when lines m and n are parallel, x = 44.
What is the value of x?a) To find the value of x when lines m and n are perpendicular, we can use the property that the product of the slopes of two perpendicular lines is -1.
1. Find the slope of line m:
Slope of line m = (change in y)/(change in x) = (8 - 6)/(4 - (-2)) = 2/6 = 1/3
2. Find the slope of line n:
Slope of line n = (change in y)/(change in x) = (24 - 12)/(x - 8) = 12/(x - 8)
3. Set up the equation using the perpendicular slope property:
(1/3) * (12/(x - 8)) = -1
4. Solve for x:
Multiply both sides by (3/1) and (-1/12):
(12/(x - 8)) = (-1) * (3/1) * (1/12)
12/(x - 8) = -1/4
Cross-multiply:
12 * 4 = -1 * (x - 8)
48 = -x + 8
Move x to one side:
48 - 8 = -x
40 = -x
Multiply both sides by (-1) to solve for x:
x = -40
Therefore, the value of x when lines m and n are perpendicular is x = -40.
b) To find the value of x when lines m and n are parallel, we know that parallel lines have the same slope.
1. Find the slope of line m (same as in part a):
Slope of line m = 1/3
2. Find the slope of line n:
Slope of line n = (change in y)/(change in x) = (24 - 12)/(x - 8) = 12/(x - 8)
3. Set up the equation using the equal slope property:
1/3 = 12/(x - 8)
4. Solve for x:
Multiply both sides by (3/1) and (x - 8):
(3/1) * (12) = 1 * (x - 8)
36 = x - 8
Move -8 to the other side:
36 + 8 = x
44 = x
Therefore, the value of x when lines m and n are parallel is x = 44.
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If sin theta equals to a divided by b what is the value of sec square theta minus tan square theta
Answer:
Square is the answer
hope it helps u
plz mark it as brainliest
Which of the following best described the line that is passing through the ordered pairs given below? Select all that apply
(-4, 6) & (-4, 1)
The slope of the line is undefined.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (-4, 6) and (-4, 1)
Now,
Since, The equation of line passes through the points (-4, 6) and (-4, 1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 6) / (-4 - (-3))
m = - 5 / 0
m = ∞
Thus, The slope of the line is undefined.
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Ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. How much would Ariana need to invest, to the nearest ten dollars, for the value of the account to reach $110,000 in 14 years?
Answer:
110000=p(1+0.019)^168
23.62p=110000
p=4660
credit: sqdancefan
Answer:
84330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
can someone pls help
Answer:
1.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
its the same number
an exponent is Multipulcation
anything times one is that number
a claim that two situations are similar, based on minor similarities between two cases when there are major differences being ignored is a _____.
The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.
False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.
For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.
In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.
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At the beginning of this month cybil had $185.36 in digital money so far this month she had made deposits of $13.74 $58.27 and $69.30 into her account while she has made withdrawls of $19.29 $28.19 and $52.55 how much digital money does cybil have now
Hey there! I'm happy to help!
If you make a deposit, you add money to your bank account, and if you withdraw, you take money out of it.
We have $185.36 and we put in some deposits. Let's do this below.
$185.36+$13.74+$58.27+$69.30=$326.67
Now, we do some withdrawals and take money out.
$326.67-$19.29-$28.19-$52.55=$80.64
Therefore, Cybil has $226.64 in digital money.
Have a wonderful day! :D
homework has to be due by 5:30 pls help
Answer:
D is the answer because the dot is at -5 and -6. Like the graph shows
A supermarket gives a special
offer to cus-
tomers who purchase at least a pack of
vests and a pack of T-shirts. The offer is
restricted to a total of 7 of these items.
a) Write down three inequalities which
must be satisfied.
(b) Draw the graphs of the above condi-
tions and shade the region that satis-
fies them.
(c) If the supermarket makes a gain of N5
on each vest and N8 on each T-shirt,
find the maximum gain made by the
supermarket.
A) the three inequalities that must be satisfied are:
The number of vests, represented by x, must be a non-negative integer: x ≥ 0.The number of T-shirts, represented by y, must also be a non-negative integer: y ≥ 0.The total number of vests and T-shirts must not exceed 7: x + y ≤ 7.B) Graph shaded and satisfying all conditions is attached.
What is an inequality?An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.
It is most commonly used to compare the sizes of two numbers on a number line.
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Point \blue{A}Astart color #6495ed, A, end color #6495ed is at \blue{(-2, -7)}(−2,−7)start color #6495ed, left parenthesis, minus, 2, comma, minus, 7, right parenthesis, end color #6495ed and point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is at \purple{(2.5, -1.5)}(2.5,−1.5)start color #9d38bd, left parenthesis, 2, point, 5, comma, minus, 1, point, 5, right parenthesis, end color #9d38bd.
Point \purple{M}Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point \blue{A}Astart color #6495ed, A, end color #6495ed and point \green{B}Bstart color #28ae7b, B, end color #28ae7b.
What are the coordinates of point \green{B}Bstart color #28ae7b, B, end color #28ae7b?
Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is expressed as:
M(X, Y) = {(x2+x1)/2, (y2+y1)/2
Given the coordinates of the midpoint
M(2.5, -1.5)
Endpoint A(-2, -7)
Required
Endpoint B
From the formula;
X = x2+x1/2
Given
X = 2.5, x1 = -2
Get x2
2.5 = -2+x2/2
5 = -2+x2
x2 = 5+2
x2 = 7
Also
Y = y2+y1/2
-1.5 = -7+y2/2
-3 =-7+y2
y2 = -3+7
y2 = 4
Hence the coordinate of the endpoint B (x2,y2) is (7,4)
Answer:
(0,0.5)
Step-by-step explanation:
Trust me, it's from Khan Academy
Lines AC and RS are
Coplanar
Parallel
Perpendicular
Skew
Answer:
Skew Is your answer
Step-by-step explanation: Took the test
The correct option is Option D: Line AC and RS are skew lines.
What is the line?A line is defined as set of points that extends infinitely in either direction. A line is the shortest distance between any two points.
What are skew lines?Skew lines are two lines that never intersect and are not parallel also. Hence we can say that the two lines can not exist in the same plane.
From the figure it is clear that
Line AC and RS are in different planes and they are also not intersecting each other, hence according to the definition of skew lines, they are skew lines.
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Find a second-degree polynomial P such that P(2)=11,P′(2)=9, and P′′(2)=6. P(x)=
the second-degree polynomial P(x) that satisfies the given conditions is: P(x) = 3x²2 - 3x + 5
To find a second-degree polynomial P(x) that satisfies the given conditions, we can use the general form of a second-degree polynomial:
P(x) = ax²2 + bx + c
Given that P(2) = 11, we have:
P(2) = a(2)²2 + b(2) + c = 11
Simplifying this equation, we get:
4a + 2b + c = 11 ...(1)
Next, we are given that P'(2) = 9. Taking the derivative of P(x), we have:
P'(x) = 2ax + b
Therefore, P'(2) = 2a(2) + b = 9
Simplifying this equation, we get:
4a + b = 9 ...(2)
Finally, we are given that P''(2) = 6. Taking the second derivative of P(x), we have:
P''(x) = 2a
Therefore, P''(2) = 2a = 6
Simplifying this equation, we get:
2a = 6
a = 3
Now, substituting the value of a = 3 into equations (1) and (2), we can solve for b and c:
4(3) + b = 9
12 + b = 9
b = -3
4(3) + 2(-3) + c = 11
12 - 6 + c = 11
c = 5
Therefore, the second-degree polynomial P(x) that satisfies the given conditions is:
P(x) = 3x²2 - 3x + 5
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which expression shows a way to factor 16 + 72
The expression that shows a way to factor 16 + 72 is 8(2 + 9)
How to determine the way to factor the expression?From the question, we have the following parameters that can be used in our computation:
16 + 72
Express the terms of the expression as products
So, we have the following representation
16 + 72 = 8 * 2 + 8 * 9
Factor out 8 from the expression
This gives
16 + 72 = 8 * (2 + 9)
Hence, the factored expression of 16 + 72 is 8 * (2 + 9)
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Which point lies on the graph of the equation-2x+5y+20
The provided dataset "Franchises Dataset" contains data collected from different 100 franchises. The data contains the net profit (million $) for each franchise, the counter sales (million $), the drive-through sales (million $), the number of customers visiting the business daily, and the type of the franchise. Q: What is the predicted profit of a Burger store restaurant with 900,000$ counter sales, and 800,000$ drive-through sales?
The predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.
To find the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales using the provided dataset, we can follow these steps:
Step 1: Import the "Franchises Dataset" into a statistical software package like Excel or R.
Step 2: Perform regression analysis to find the equation of the line of best fit that relates the net profit (dependent variable) to the counter sales and drive-through sales (independent variables). The equation will be in the form of y = mx + b, where y is the net profit, x is the combination of counter sales and drive-through sales, m is the slope, and b is the y-intercept.
Step 3: Use the regression equation to calculate the predicted net profit for the given counter sales and drive-through sales values. Plug in the values of $900,000 for counter sales (x1) and $800,000 for drive-through sales (x2) into the equation.
For example, let's say the regression equation obtained from the analysis is: y = 0.5x1 + 0.3x2 + 1.
Substituting the values, we get:
Predicted Net Profit = 0.5(900,000) + 0.3(800,000) + 1
= 450,000 + 240,000 + 1
= 690,001 million dollars.
Therefore, the predicted profit of a Burger store restaurant with $900,000 counter sales and $800,000 drive-through sales is $690,001 million.
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Simplify. 4−8÷2+3
i need help with it
Answer:
3
Step-by-step explanation:
Using PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), You do 8/2 first, which equals 4, then add 3 which turns 4 into a 7, then finally subtract 4 and your final answer is 3.
Answer:
3
Step-by-step explanation:
I took the test >.<