What single transformation was applied to triangle AAA to get triangle BBB?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Translation
(Choice B)
B
Rotation
(Choice C)
C
Reflection
(Choice D)
D
Dilation
Answers
Related Questions
state the trigonometric substitution you would use to find the indefinite integral. do not integrate.
∫ (81+x^2)^−5 dx
X(θ) = ______
Answers
To find the trigonometric substitution for ∫ (81+x^2)^−5 dx, we can use x = 9tanθ.
This substitution is useful because it allows us to rewrite the expression in terms of trigonometric functions, which we can then integrate using trigonometric identities.
Therefore, X(θ) = 9tanθ.
To find the indefinite integral of the given function using trigonometric substitution, you'll need to choose an appropriate substitution. For the integral ∫ (81+x^2)^−5 dx, we can use the substitution:
x(θ) = 9 * tan(θ)
This is because we can relate x^2 to a trigonometric identity. After substituting, you would proceed with integration, but since you asked to not integrate, I'll stop here. So the trigonometric substitution for this problem is:
x(θ) = 9 * tan(θ)
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what is the meaning of the word 'coplanar'
Answers
Answer:
It means in the same plane
Suppose that each of n sticks is broken into one long and one short part. The 2n parts are arranged into n pairs from which new sticks are formed. Find the probability (a) that the parts will be joined in the original order, (b) that long parts are paired with short parts.
Answers
Given Information:Each of n sticks is broken into one long and one short part. The 2n parts are arranged into n pairs from which new sticks are formed.Pairing each long part with a short part gives n possible pairs.Explanation:a. Probability that the parts will be joined in the original orderWe have n sticks that are broken into 2 parts
each.So, total parts = 2nOut of 2n parts, we can select n parts in n! ways. (Order is important as we have to join them in the original order)For each such n! arrangement, there is only 1 main answer that is the original order of n sticks.Now, total number of ways to arrange the parts is 2n!.So, probability that the parts will be joined in the original order = Number of favourable outcomes / Total number of possible outcomes= n! / 2n! = 1 / 2n-1b. Probability that long parts are paired with short partsWe have n pairs out of which one part is long and other is short.Each long part can be paired with a short part in n ways.Out of n pairs, one pair can be selected in nC1 ways. Similarly, the other pairs can be selected in n-1 C 1 ways, n-2 C 1 ways and so on
Total number of ways to select n pairs is n * (n-1) * (n-2) *... * 1 = n!So, probability that long parts are paired with short parts= Number of favourable outcomes / Total number of possible outcomes= n! / 2n! = 1 / 2n-1Therefore, the main answer to the problem is:(a) Probability that the parts will be joined in the original order= n! / 2n!(b) Probability that long parts are paired with short parts= n! / 2n!
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a(n) ? is a shorthand method for writing a mathematical rule.a. equal sign (=)b. equationc. formulad. math problem
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The equation is a shorthand method for writing a mathematical rule.
The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Use the given graph to determine the limit, if it exists. (4 points)
A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.
Find limit as x approaches three from the right of f of x. .
Answers
Explanation:
Refer to the graph below. It should be similar to what your teacher gave you, based off the description.
Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.
As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.
In terms of notation, we can write \(\displaystyle \lim_{x\to3^{+}}f(x) = 3\)
The portion \(x \to 3^{+}\) means we're approaching 3 from the positive side, aka the right hand side on the number line.
Someone who wants to go camping in the spring starts to pack his backpack and this camper must pack three items: food, first-aid kits, and clothes. The backpack has a capacity of 9 ft 3. Each unit of food takes 2ft 3 . A first-aid kit occupies 1ft 3 , and each piece of cloth takes about 3ftt 3 . The hiker assigns the benefit of the items as 7, 5 , and 6 to food, first aid, and clothes, respectively, which means that foods are the most valuable of the three items. From experience, the hiker must take at least one unit of each item. How many of each item should the camper take?
Answers
The camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing within the given constraints.
To determine the optimal number of each item the camper should take, we need to maximize the total benefit while considering the capacity constraint of the backpack.
Let's assume the camper takes x units of food, y first-aid kits, and z pieces of clothing.
The backpack has a capacity of 9 ft^3, and each unit of food takes up 2 ft^3. Therefore, the constraint for food is 2x ≤ 9, which simplifies to x ≤ 4.5. Since x must be a whole number and the camper needs at least one unit of food, the camper can take a maximum of 3 units of food.
Similarly, for first-aid kits, since each kit occupies 1 ft^3 and the camper must take at least one, the constraint is y ≥ 1.
For clothing, each piece takes 3 ft^3, and the constraint is z ≤ (9 - 2x - y)/3.
Now, we need to maximize the total benefit. The benefit of food is assigned as 7, first aid as 5, and clothing as 6. The objective function is 7x + 5y + 6z.
Considering all the constraints, the possible combinations are:
- (x, y, z) = (3, 1, 0) with a total benefit of 7(3) + 5(1) + 6(0) = 26.
- (x, y, z) = (3, 1, 1) with a total benefit of 7(3) + 5(1) + 6(1) = 32.
- (x, y, z) = (4, 1, 0) with a total benefit of 7(4) + 5(1) + 6(0) = 39.
- (x, y, z) = (4, 1, 1) with a total benefit of 7(4) + 5(1) + 6(1) = 45.
Among these combinations, the highest total benefit is achieved when the camper takes 3 units of food, 1 first-aid kit, and 1 piece of clothing.
Therefore, the camper should take 3 units of food, 1 first-aid kit, and 1 piece of clothing to maximize the total benefit within the given constraints.
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Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.
Answers
The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.
To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.
Now, integrating the inner integral with respect to x, we get:
∫ (x² + y²)dx = (1/3)x³ + y²x + C1,
where C1 is the constant of integration.
Next, we integrate the resulting expression with respect to y:
∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,
where C2 is another constant of integration.
Finally, we evaluate this double integral over the given region by substituting the limits of integration:
∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.
Performing the integration, we can find the numerical value of the double integral within the given region.
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The Walker family and the James family each used their sprinklers last summer. The water output rate for the Walker family’s sprinkler was 20L per hour. The water output rate for the James family’s sprinkler was 35L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1300L. How long was each sprinkler used?Walker family’s sprinkler:James family’s sprinkler:
Answers
we have
Walker family= 20 L/H
James family = 35 L/H
Total time= 50h
total water= 1300L
let's x be the time walker family use the sprinkler
let's y be the time James family use the sprinkler
then the total time is given by
First equation
\(x+y=50\)second equation
then the flow of water of is
Walker family = x*20
James Family = y*35
since the total flow is 1300L
then
\((x\ast20)+(y\ast35)=1300\)\(20x+35y=1300\)now with the 2 system equation we can solve x and y
\(x=50-y\)then
\(20(50-y)+35y=1300\)\(1000-20y+35y=1300\)\(15y=300\)\(y=\frac{300}{15}=20\)then
x+20=50
x=50-20=30
wich means
the walker family use the sprinkler for 30h
and
the James family use the sprinkler for 20h
Find the missing number so that the equation has no solutions 2x+2=?x+13
Answers
Answer:
2
Step-by-step explanation:
2x+2=?x+13
Let x=2
2x+2=2x+13
Subtract 2x from each side
2 =13
This is never true so there is no solution
The Augello family is driving From Columbus to saint Louis at a constant rate of 65 mph. The distance between the 2 cities with 420 miles. Brain equation in slope intercept form to represent the distance Y. and miles remaining after driving X. hours
Answers
The linear equation that models the distance as a function of time is:
y = -65mi/h*x + 420mi
How to write the linear equation?A general linear equation can be written as:
y = a*x + b
Where y is the distance, x is the number of hours, x is the slope or rate of change, and b is the y-intercept.
Here we know that the family traves at a constant rate of 65 mi/h, then that will be the value of the slope.
And the y-intercept will be equal to the initial distance that they need to travel, which is 420 miles, then the linear equation that represents the distance as a function of time is:
y = -65mi/h*x + 420mi
The negative sign in the first term is because the distance decreases as time passes.
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In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))
Answers
if the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 americans, the confidence interval would be larger
Answers
The confidence interval of (3.53, 3.83) hours contains the mean hours that U.S. adults have for leisure time after an average workday.
How to identify if the statements are true or falseFrom the question, we have the following parameters that can be used in our computation:
Sample size, n = 1154
Also, we have
A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.
The interpretation of the above confidence interval is that 3.53 to 3.83 hours contains the required mean hours
Hence, the true statement is (c) and others are false
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Question
The General Social Survey (GSS) is a sociological survey used to collect data on demographic characteristics and attitudes of residents of the United States. In 2010, the survey collected responses from 1,154 US residents. The survey is conducted face-to-face with an in-person interview of a randomly selected sample of adults. One of the questions on the survey is “After an average workday, about how many hours do you have to relax or pursue activities that you enjoy?” A 95% confidence interval from the 2010 GSS survey for the collected answers is 3.53 to 3.83 hours.
Identify each of the following statements is true or false. Explain your answers.
1. If the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 Americans, the confidence interval would be larger.
2. We can be 95% confident that the interval (3.53, 3.83) hours contains the mean hours that the sampled adults have for leisure time after an average workday.
3. The confidence interval of (3.53, 3.83) hours contains the mean hours that U.S. adults have for leisure time after an average workday.
If the researchers wanted to report a confidence interval with a smaller margin of error based on the same sample of 1,154 Americans, the confidence interval would be larger.
A confidence interval (CI) is a range of values within which the true population parameter is estimated to lie with a specific level of confidence. The confidence interval is a probability statement that reflects the amount of uncertainty associated with the sample estimate.
The level of confidence that the true population parameter falls within the calculated confidence interval is called the confidence level.
In statistics, a sample is a subset of a population that is used to investigate the properties of the population. The sampling process entails selecting a subset of individuals from a population. As a result, the accuracy of the sample's results in representing the population is critical.
The larger the sample size, the better it represents the population, and the lower the margin of error. When reporting a confidence interval, the larger the margin of error, the larger the range of values in which the true population parameter can lie. When a confidence interval with a smaller margin of error is required, the sample size should be increased to reduce the margin of error and produce a more precise estimation of the true population parameter.
As a result, if the same sample of 1,154 Americans is used, the confidence interval would have to be larger to obtain a smaller margin of error.
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Help me with this, it’s due in a bit!
Answers
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
12. [Ex 2K) Find the centre, C, and the radius, r, of the following equation of circle: x2 + y2 - 6x + 4y + 9 = 0
Answers
An equation in the form:
\((x-a)^2+(y-b)^2=r^2\)is the standard form for the equation of a circle with center (a,b) and radius r. Here we have:
\(x^2+y^2-6x+4y+9=0\)Then, group the x and y terms separately and "move" the constant to the right side of the equation:
\(x^2-6x+y^2+4y=-9\)Complete the square:
\(x^2-6x+9+y^2+4y+4=-9+9+4\)Factor:
\((x-3)^2+(y+2)^2=4\)Express the right side as a square:
\((x-3)^2+(y-(-2))^2=2^2\)Therefore:
The center is: (3, - 2), the radius is 2
Answer:
\(\begin{gathered} \text{Center: (3,-2)} \\ \text{Radius: 2} \end{gathered}\)The company Wash-A-World sells washing machines. Lena has found a suitable machine called the Washenator 1500. The cost of the machine is shown below. Wash-A-World How much more expensive is the hire purchase cost than the cash price for this washing machine? Show your work in the space below to find the difference in cost between the two options. Which option would you recommend to Lena? Give a reason for your answer.
Answers
The hire purchase option is $55 more expensive than the cash price.
How much more expensive is the hire purchase cost?A hire purchase is an arrangement where a person agrees to acquire an asset by paying an initial installment and repaying the balance of the price of the asset plus interest over time.
The total cost of the washing machine under hire purchase can be calculated as follows:
30% deposit = 30% * $850 = $255Remaining amount to be paid = $850 - $255 = $59510 monthly payments of $65 = $650Therefore, the total cost under hire purchase is:
= $255 + $650
= $905
To find out how much more expensive the hire purchase option is compared to the cash price, we can subtract the cash price from the hire purchase price, which gives us:
= $905 - $850
= $55.
Therefore, the hire purchase option is $55 more expensive than the cash price.
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4 A home-decorating company is determining the amount of fabric required for a customer's window treatments. A single window requires 13 yards and a double 7 window requires 16, yards of fabric. If there are two single windows and one double window, how much fabric is required?
Answers
The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.
As per the information we have received from the question,
A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to
13×(no of single windows)+ 16×(no of double windows)
Here, no of single windows= 2
And, no of double window= 1
Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards
Hence the solution is 42 yards of fabric.
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A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,5,4. What is the MODE score of the hockey team?
Answers
The given data set is:
\(3,6,2,1,2,3,0,4,5,1,5,4\)It is required to find the mode.
Recall that the mode is the value in a set of data that has the most occurrences.
Note that the mode is not unique and a data set may have no mode.
The value that has the most occurrences in the set is not unique.
Hence, the data set has no mode score
If the events have the same theoretical probability of happening, then they are called
Answers
Answer:
if outcomes are equally likely then the probability of an event occurring is the number in event divided by the number in sample space
a. A gas well is producing at a rate of 15,000ft 3 / day from a gas reservoir at an average pressure of 2,500psia and a temperature of 130∘
F. The specific gravity is 0.72. Calculate (i) The gas pseudo critical properties (ii) The pseudo reduced temperature and pressure (iii) The Gas deviation factor. (iv)The Gas formation volume factor and Gas Expansion Factor. (v) the gas flow rate in scf/day.
Answers
(i) Gas pseudo critical properties: Tₚc = 387.8 °R, Pₚc = 687.6 psia.
(ii) Pseudo reduced temperature and pressure: Tₚr = 1.657, Pₚr = 3.638.
(iii) Gas deviation factor:
(iv) Gas formation volume factor and gas expansion factor is 0.0067.
(v) Gas flow rate in scf/day 493.5 scf/day.
Gas pseudo critical properties i -
The specific gravity (SG) is given as 0.72. The gas pseudo critical properties can be estimated using the specific gravity according to the following relationships:
Pseudo Critical Temperature (Tₚc) = 168 + 325 * SG = 168 + 325 * 0.72 = 387.8 °R
Pseudo Critical Pressure (Pₚc) = 677 + 15.0 * SG = 677 + 15.0 * 0.72 = 687.6 psia
(ii) Pseudo reduced temperature and pressure:
The average pressure is given as 2,500 psia and the temperature is 130 °F. To calculate the pseudo reduced temperature (Tₚr) and pressure (Pₚr), we need to convert the temperature to the Rankine scale:
Tₚr = (T / Tₚc) = (130 + 459.67) / 387.8 = 1.657
Pₚr = (P / Pₚc) = 2,500 / 687.6 = 3.638
(iii) Gas deviation factor:
The gas deviation factor (Z-factor) can be determined using the Pseudo reduced temperature (Tₚr) and pressure (Pₚr). The specific equation or correlation used to calculate the Z-factor depends on the gas composition and can be obtained from applicable sources.
(iv) Gas Formation Volume Factor (Bg):
T = 130°F + 460 = 590°R
P = 2,500 psia
Z = 1 (assuming compressibility factor is 1)
Bg = 0.0283 × (590°R) / (2,500 psia × 1) ≈ 0.0067
(v) Gas Flow Rate in scf/day:
Gas flow rate = 15,000 ft³/day × 0.0329
≈ 493.5 scf/day
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Consider an urn with 10 balls labeled 1,..., 10. You draw four times without replacement from this urn. (a) What is the probability of only drawing balls with odd numbers? = (b) What is the probability that the smallest drawn number is equal to k for k = 1, ..., 10? ?
Answers
(a) The probability of drawing only odd numbered balls is 1/8 or 0.125.
(b) The probability of the smallest drawn number being equal to k for k = 1,...,10 is (4 choose 1)/ (10 choose 4) or 0.341.
(a) To calculate the probability of only drawing odd numbered balls, we first need to find the total number of ways to draw four balls from the urn, which is (10 choose 4) = 210. Then, we need to find the number of ways to draw only odd numbered balls, which is (5 choose 4) = 5. Thus, the probability of only drawing odd numbered balls is 5/210 or 1/8.
(b) To calculate the probability that the smallest drawn number is equal to k for k = 1,...,10, we first need to find the total number of ways to draw four balls from the urn, which is (10 choose 4) = 210. Then, we need to find the number of ways to draw four balls such that the smallest drawn number is k. We can do this by choosing one ball from the k available balls (since we need to include that ball in our draw to ensure the smallest drawn number is k) and then choosing three balls from the remaining 10-k balls. Thus, the number of ways to draw four balls such that the smallest drawn number is k is (10-k choose 3). Therefore, the probability that the smallest drawn number is equal to k is [(10-k choose 3)/(10 choose 4)] for k = 1,...,10, which simplifies to (4 choose 1)/(10 choose 4) = 0.341.
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solve the inequality -179 greater than or equal to 9v - 8
Answers
Answer:
v ≤ -19
Step-by-step explanation:
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
Answers
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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the back contents 3 red balls 5 black balls and 4 white balls a bag is drown at random from the bag what is the probability that the ball drawn is 1.white?2.red? 3.black? 4.not red?
Answers
Answer:
Sanjay
aka
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aoama
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Please help and show work only do the left side
Answers
bottom was cut off a bit its 4=b
My victory will be in your hands if you answer this ✌✌✌✌✌
Answers
Add dress and shoes together:
30 + 25 = 55
1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)
Multiply total price by 4/5:
55 x 4/5 = (55 x4)/5 = 220/5 = 44
Total after discount is 44
Now add shipping:
44 + 8 = 52
Total paid = £52
Answer:
She will pay $52
Step-by-step explanation:
So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars. By the way substitute this money sign $ for the one on your page
3x^2+5x^2
Tyyyy
Sorry about the bad photo quality.
Answers
Answer:
8x^2
7y^2+ 4y^3
3d^3+ 4d^2
What number can be added to the right side of the equation to change it to a function with one real zero
Answers
Answer:
+3
Step-by-step explanation:
Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.
Find and simplify an expression for the area of three rows of m squares with side lengths of m centimeters .
The area is __ square centimeters.
Answers
Answer:
The area of the shape is 3m³ square centimetres.
Step-by-step explanation:
We know that the area of single square is m² cm².
There are m squares per row, so for the area of the row, we multiply that by m, giving us m³ cm².
Finally, we know that there are three rows, so we need to multiply that by three, giving a total area of 3m³ cm²
Estimate the value of √2π / √5 .
Answers
Answer:
1.12099824328 or estimated is 1
Step-by-step explanation:
Give branliest if i was right!
During the 1998-1999 Little League season, the Tigers played 47 games. They won 25 more games than they lost. How many games did they win that season
Answers
According to the question, the Tigers won 36 games during the 1998-1999 Little League season.
Let's assume the number of games the Tigers lost during the season is \(\(x\)\).
According to the given information, the Tigers won 25 more games than they lost. So the number of games they won is \(\(x + 25\)\).
The total number of games played is the sum of the games won and the games lost:
\(\(x + (x + 25) = 47\)\)
Combining like terms:
\(\(2x + 25 = 47\)\)
Subtracting 25 from both sides:
\(\(2x = 47 - 25\)\(2x = 22\)\)
Dividing both sides by 2:
\(\(x = 11\)\)
So the Tigers lost 11 games during the season.
To find the number of games they won, we can substitute this value back into the equation:
\(\(x + 25 = 11 + 25 = 36\)\)
Therefore, the Tigers won 36 games during the 1998-1999 Little League season.
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