Answer:
Step-by-step explanation:
George has $20.00 saved up to see a movie. The movie tickets cost $8.00 each and he wants a large popcorn that costs $5.76. He also wants to buy a medium soda for $3.87. Will he have enough money to buy everything he wants? What expression can be used to show this?
Answer:
yes he will have enough
Step-by-step explanation:
8.00 + 5.76 + 3.87 is 17.63 so he will have less than 3 dollars left over.
Answer:
yes Equation: 8 + 3.87 + 5.76
Step-by-step explanation:
Movie Ticket:
8$
Large Popcorn:
5.76$
Medium Soda:
3.87
Total:
5.76 + 3.87 + 8 = 17.63$
Hopefully this helps you :)
pls mark brainlest ;)
He will have 2. 27$ left.
In a right triangle, sin (2x + 7)° = cos (3x - 9)°. Solve for 1. Round your answer to the nearest hundredth if necessary.
The value of x is 18.4.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Given that,
sin (2x + 7)° = cos (3x - 9)° [Equation 1]
We have the trigonometric rule that,
cos (θ) = sin(90 - θ)
So, cos (3x - 9)° = sin (90 - (3x - 9))
So from equation 1,
sin (2x + 7)° = sin (90 - (3x - 9))
Equating,
2x + 7 = 90 - (3x - 9)
2x + 7 = 90 - 3x + 9
2x + 7 = 99 - 3x
5x = 92
x = 18.4
Hence the value of x is 18.4.
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Sara is shopping for jeans and shirts on tax-free weekend. She has $60 to spend. She knows she will buy one pair of jeans for $29. Each of the shirts she wants to buy cost $10. Which inequality shows how many shirts (s) Sara will be able to buy on her budget?
Answer:29x+10y<60
Step-by-step explanation:
She has $60 to spend.
And no tax. it should be 29x+10y>(less than or equal to) $60.
Question 7 (Essay Worth 6 points)
(04.04 MC)
The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam.
Passed exam Did not pass exam Row Totals
10%
65%
Completed exam review
55%
Did not complete exam review 20%
Column Totals
75%
15%
25%
35%
100%
Part A: What is the percentage of students who passed the exam, given that they completed the exam review? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who passed the exam, given that they did not complete the exam review? Round to the nearest percentage. (2 points)
Part C: Is there an association between passing the exam and completing the exam review? Justify your answer. (2 points)
83% of pupils passed the test as a group.
Explain about the proportion?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls)
It is claimed that two ratios are in proportion if they are the same. A/B Equals C/D if the four elements are a, b, c, and d in that order. The terms a and d are referred to as extremes, whereas b and c are referred to as medium terms. The ratio equates the product of extremes to the product of means.
Results in total: 65% of the review was finished.
The desired results were 55% exam pass.
The percentage is as follows:
p = 55/65 x 100%
= 82.3%.
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A bottle filling machine fills an average of 20 000 bottles a day with a standard deviation of 2000. Assuming that production is normally distributed and the year comprises 260 working days, calculate the approximate number of working days on which:
The approximate number of working days on which a bottle-filling machine fills 22,500 bottles or more is 120 days.
The average of bottle filling machine filling per day is 20,000.
The standard deviation is 2000.
There are 260 working days in a year.
We have to calculate the approximate number of working days on which the machine fills:22,500 bottles or more
To solve this problem we can use the following formula:
z = (X - μ) / σ
Where: X = 22,500, μ = 20,000, σ = 2000
Putting values in the formula, we get:
z = (22,500 - 20,000) / 2000z = 1.25
Using the z-table, we can calculate the area under the curve to the right of z = 1.25.
The area under the curve represents the proportion of the data that lies to the right of z = 1.25.
We add 0.50 to the area to get the proportion of the data that lies to the left of z = 1.25.
Therefore, we need to look for the area that is closest to 0.3944 + 0.5 = 0.8944.
The area that is closest to 0.8944 corresponds to z = 1.25.
The approximate number of working days on which the machine fills 22,500 bottles or more can be calculated as follows:
Number of working days = 260 × 0.1056
The number of working days = 27.45 ≈ 28 days.
Therefore, the approximate number of working days on which the machine fills 22,500 bottles or more is 28 days (rounded to the nearest whole number).
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Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills.
Andrew
Karleigh
Time in Distance
Minutes
in Miles
18
24
1.5
2
OA) (4,0)
Time in Distance
in Miles
Minutes
30
40
3
Andrew and Karleigh each run for 1 hour. Which statement explains who ran a
greater distance?
C)
Andrew ran a greater distance.
his table increased at a rate of
10
mile per minute.
4
B) Andrew ran a greater distance. The slope of the line described by the data in
his table increased at a rate of mile per minute compared to Karleigh's
12
The slope of the line described by the data in
mile per minute compared to Karleigh's
D) Karleigh ran a greater distance. The slope of the line described by the data in
her table increased at a rate of mile per minute compared to Andrew's
mile per minute
The correct statement regarding the proportional relationships is given as follows:
B. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10, compared to 1/12 for Andrew.
How to obtain who run faster?
To obtain the person who runs faster, we need to look at their rates, as the time and the distance form a proportional relationship.
Andrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes, hence his rate is given as follows:
k = 1.5/18 = 2/24 = 1/12 = 12 minutes per mile.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes, hence her rate is given as follows:
k = 3/30 = 4/40 = 1/10 = 10 minutes per mile.
Due to the lower number of minutes per mile, Karleigh ran faster, and the correct option is given by option B.
Missing InformationAndrew ran 1.5 miles in 18 minutes and 2 miles in 24 minutes.
Karleigh ran 3 miles in 30 miles and 4 miles in 40 minutes.
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You measure the length of the same side of a block five times and each measurement has an uncertainty of Δ
b = 0.1 mm. What is the uncertainty in the best estimate for b?
The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.
To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate
To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.
In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.
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1. A ride in a cab costs $0.60 plus $0.14 per mile.
a. Write an equation for traveling x miles in the cab.
b. The cab charges $0.88 for a ride of how many miles?
c. How much does the cab charge for a trip of 8 miles?
The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.
a. The equation for traveling x miles in the cab can be written as:
Cost = $0.60 + $0.14 * x
b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:
$0.88 = $0.60 + $0.14 * x
Subtracting $0.60 from both sides, we get:
$0.88 - $0.60 = $0.14 * x
$0.28 = $0.14 * x
Dividing both sides by $0.14, we find:
x = $0.28 / $0.14
x = 2 miles
Therefore, the cab charges $0.88 for a ride of 2 miles.
c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:
Cost = $0.60 + $0.14 * 8
Cost = $0.60 + $1.12
Cost = $1.72
Therefore, the cab charges $1.72 for a trip of 8 miles.
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A group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends and the total cost.
Answer:
No table shown.
Step-by-step explanation:
Where’s the table?
Answer:
it is c
Step-by-step explanation:
write the method mirror vertical right to left that mirrors a picture around a mirror placed vertically from right to left, so that you get 2 tails for the caterpillar instead of two heads.
Answer:
Step-by-step explanation:
To mirror a picture vertically from right to left, effectively creating two tails for a caterpillar instead of two heads, you can follow the steps outlined in the mirror vertical right-to-left method:
Start with the original picture.
Create a new blank canvas of the same size as the original picture.
Iterate over each pixel in the original picture.
For each pixel, calculate its mirrored position by subtracting its x-coordinate from the maximum x-coordinate value of the picture.
Copy the color value of the pixel from its original position to its mirrored position on the new canvas.
Repeat steps 4-5 for all pixels in the original picture.
The resulting new canvas will be the mirrored picture with two tails instead of two heads for the caterpillar.
Implementing this method in a programming language would require accessing and manipulating pixel values in the image, which can vary depending on the programming language and libraries used.
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Jack had four bags of M&M's and eight Reese's cups. He randomly chose a piece of candy, ate it, then chose another. What is the probability that both pieces of candy were Reese's cups. Show work.
please help me!!!
Katahdin is the highest Mountain in Main. What is its Elevation?
4,757 ft
3,776 ft
3,655 ft
5, 268 ft
8(2+8) Use distributive property to rewrite expression then simplify
By using the distributive property, you have:
\(8(2+8)=8\cdot2+8\cdot8=16+64=80\)Hence, the simplified expression is equal to 80
Consider the quadratic pattern -7;0;9;20 4.1 show that the general term of the quadratic number pattern is given by tn=n^2+4n-12
To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.
Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.
First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11
We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.
To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2
The second differences are constant, which suggests a quadratic pattern.
Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.
Using the given terms, we can form three equations:
1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)
Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9
Solving this system of equations, we find a = 1, b = 4, and c = -12.
Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).
The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).
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what is the radius of convergence? what is the intmake sure you name the test that you use. consider the following power series.rval of convergence? use interval notation. what test did you use?
The radius of convergence is the distance from the center of a power series to the nearest point where the series converges, determined using the Ratio Test. The interval of convergence is the range of values for which the series converges, including any endpoints where it converges.
The radius of convergence of a power series is the distance from its center to the nearest point where the series converges.
To determine the radius of convergence, we can use the Ratio Test.
Step 1: Apply the Ratio Test by taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms.
Step 2: Simplify the expression and evaluate the limit.
Step 3: If the limit is less than 1, the series converges absolutely, and the radius of convergence is the reciprocal of the limit. If the limit is greater than 1, the series diverges. If the limit is equal to 1, further tests are required to determine convergence or divergence.
The interval of convergence can be found by testing the convergence of the series at the endpoints of the interval obtained from the Ratio Test. If the series converges at one or both endpoints, the interval of convergence includes those endpoints. If the series diverges at one or both endpoints, the interval of convergence does not include those endpoints.
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A field in the shape of a square has an area of 8,100 square feet . What is the length of 1 side of the field ?
Answer:
A) Find the square root of 8,100.
Step-by-step explanation:
Answer is above
slope intercept equation from graph
Adrianna has $16 worth of quarters and dimes. If Adrianna has 21/2 times as many dimes as she does quarters, how many quarters does she have?
Answer:
32 quaters
Step-by-step explanation:
We have two unknowns, the number of quarters, Q and the number of dimes, D.
Since we have two unknowns, we need to come up with two equations using these unknowns
1st Equation) We know that 1 quarter = 0.25 dollars, 1 dime = 0.10 dollars and that Adriana has 16 dollars:
0.25 *Q + 0.10 * D = 16 dollars
2nd Equation) The problem also states that Adriana has two and half (2.5) times as many dimes than quarters:
D =2.5 * Q
Substitute Equation 2 into Equation 1 and solve for Q, the number of quarters
0.25 * Q + 0.10 * (2.5 * Q) = 16.00
(0.25 + 0.25) Q = 16
0.5 * Q = 16
Q = 16 / 0.5 = 32
Adriana has 32 quarters.
Adriana also she 2.5 * 32 dimes, which means she has 80 dimes
Check the results
0.25 * 32 + 0.10 *80 = 16.00
8.00 + 8.00 = 16.00
16.00 = 16.00
Round the number to the nearest tenth.
7.82
Answer:
7.8
Step-by-step explanation:
if the number is 5 or higher, round up
if the number is 4 or less the number stays the same and all numbers to the right go away.
the number is 2 so the 8 would stay an 8 and the 2 would go away, leaving you with 7.8 as the answer.
Answer:
The answer of this Question is 7.8
Height is 2ft. More than its width. If the total area is 99ft squared , determine the dimensions of the painting.
Answer: \(9\times 11\ ft^2\)
Step-by-step explanation:
Given
Height is \(2\ ft\) more than its width
Suppose the width is \(x\). So, height becomes \(x+2\)
Area of the painting is \(99\ ft^2\)
Area is the product of width and height
\(\therefore 99=x(x+2)\\\Rightarrow 99=x^2+2x\\\Rightarrow x^2+2x-99=0\\\Rightarrow x^2+11x-9x-99=0\\\Rightarrow (x+11)(x-9)=0\\\Rightarrow x=-11,9\)
Neglect the negative values
\(\text{Width =}9\ ft\\\text{height =}9+2=11\ ft\)
Select the correct answer from each drop down menu
Answer:
3rd one
Step-by-step explanation:
If the equation were 6x + 2 = 5x + 17, would there be one unique solution?
4. A national opinion poll found that 44% of all American adults agree that parents should be given
vouchers that can be applied toward their children's education at any public or private school of the
choice. The result was based on a small sample. How large an SRS is required to obtain a margin
error of at most 0.03 in a 99% confidence interval? Answer this question using the previous poll's
result as the guessed value for p.
A simple random sample (SRS) of at least 1,352 respondents is required to obtain a margin of error of at most 0.03 in a 99% confidence interval, using the previous poll's result as the guessed value for p.
To calculate the required sample size (n) for a 99% confidence interval with a margin of error (E) of at most 0.03, we will use the following formula:
n = (Z² * p * (1-p)) / E²
In this case, Z represents the critical value for a 99% confidence interval, which is approximately 2.576. The previous poll result (p) is 44%, or 0.44.
We can now plug these values into the formula:
n = (2.576^2 * 0.44 * (1-0.44)) / 0.03²
n ≈ 1351.79
Since we need a whole number for the sample size, we round up to the nearest integer.
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write the equation of an exponential decau function with a range of (-inifinage,10) verticlal shrink of 3/4 and vertical shift up 10 units
The equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.
An exponential decay function can be written as f(x) = ab^x where b is the base of the exponential function and a is the initial value. If b is between 0 and 1, the function will exhibit exponential decay. Since we need a vertical shrink of 3/4, we can set b = 3/4.
We also need a vertical shift of 10 units, so we add 10 to the function. The resulting function is: f(x) = 10 - (3/4)^x. Therefore, the equation of an exponential decay function with a range of (-∞,10), vertical shrink of 3/4, and vertical shift up 10 units is f(x) = 10 - (3/4)^x.
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Clare mixes 2 ½ cups of water with ⅓ cup of orange juice concentrate.
Han mixes 1 ⅔ cups of water with ¼ cup of orange juice concentrate.
Whose orange juice mixture tastes stronger? Explain or show your reasoning.
Answer:
Han had a stronger orange flavor
Step-by-step explanation:
Because he put less water in the mixture.
Answer:
I believe Han's orange juice has a stronger taste of the orange itself. Even though 1/4 is less than 1/3, the amount of water that has been mixed in with the amount of orange juice is less than the 2 1/2. Therefore Clare's is much more diluted with a weaker taste.
Step-by-step explanation:
Hope this helped! <3
Mark collects Pokémon cards. He recently bought 24 cards to add to his collection. He decided to give of all of his cards to his little brother. If he gave a total of 15 cards to his brother, which equation best represents the situation?
A- 1/6c + 15 = 24
B- 1/6 + 24c=15
C- 1/6 (c + 24) = 15
D- 1/6c + 24=15
The required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.
How to use the concept of the equation model?The concept of the equation model is a fundamental part of mathematics, and it is used in a wide range of applications. Here are some ways in which the equation model is used,
1. Solving equations 2. Modeling real-world situations 3.Understanding relationships between variables.
here,
According to the question let the Pokémon cards Mark intially had be c,
So as per the given condition, Mark has c + 24 card and he gives 1/6 of his card to his little brother, which is 15 cards
The equation model of the situation is given as,
1/6(c + 24) = 15
Thus, the required equation model for the given situation is 1/6 (c + 24) = 15. Option C is correct.
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What is the solution to the equation
X/6 = 4/12
X=1
x= 2
x=4
x = 6
Answer:
x = 2
because we have the same question and i got it right its hard to explain but trust me its x = 2
The solution to the given equation is 2. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x/6 = 4/12.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, x/6 = 4/12
By cross multiplication, we get
12x=24
⇒ x=2
The solution to the given equation is 2. Therefore, option B is the correct answer.
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Define the points P(1,1) and Q(3,-4).
Carry out the following calculation:
Find two vectors parallel to QP with length 3.
The parallel vector of length 3 with the same direction is <? , ?>.
The parallel vector of length 3 with the opposite direction is <? , ?>
The two vectors parallel to QP with a length of 3 are:
v1 = (2/sqrt(29), -5/sqrt(29)) and v2 = (6/sqrt(29), -15/sqrt(29)).
To find two vectors parallel to QP with a length of 3, we need to determine the direction of the vector QP and then scale it to the desired length.
The vector QP can be obtained by subtracting the coordinates of point P from those of point Q:
QP = Q - P = (3, -4) - (1, 1) = (2, -5).
To obtain a vector parallel to QP with a length of 3, we can normalize QP (divide it by its magnitude) and then scale it to the desired length.
The magnitude of QP is given by:
|QP| = sqrt((2)^2 + (-5)^2) = sqrt(29).
The normalized vector of QP, let's call it v1, is:
v1 = QP / |QP| = (2/sqrt(29), -5/sqrt(29)).
To obtain a vector parallel to QP with a length of 3, we can scale v1 by a factor of 3:
v2 = 3 * v1 = (6/sqrt(29), -15/sqrt(29)).
Therefore, the two vectors parallel to QP with a length of 3 are:
v1 = (2/sqrt(29), -5/sqrt(29)) and v2 = (6/sqrt(29), -15/sqrt(29)).
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Use the properties of isosceles triangles to find m
The difference between the park and house of a student is 1Km 575m. Every day he walks both ways between the park and his house. Find the total distance covered by him in a week's time?
The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.
To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.
Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.
In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.
Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.
Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.
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