In linear equation, the unit rate of tickets at the skating rink is; 11.95 per ticket.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
We have been given Adela paid $71.70 for 6 tickets at the skating rink.
We need to find the unit rate per ticket.
Total amount = 71.70
Number of tickets = 6
Unit rate = Total amount/ Number of tickets
Unit rate = 70.70/ 6
Unit rate = 11.95/1
Therefore, the unit rate of tickets at the skating rink is; 11.95 per ticket.
Learn more about linear equation
brainly.com/question/29739212
#SPJ1
Answer:B
Step-by-step explanation:
Directions: Based on the information given in the following problem, compute the gross pay.
Regular salary: $1,100 per month
Overtime rate: $10.38 per hour (20 hours overtime to be paid)
Round your answers to two decimal places.
gross pay: $
The gross pay for the given service is $1307.6.
What is gross pay?Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.
Given that, the regular salary of some service is $1100, we need to calculate the gross payment with over time rate, which is $10.38 per hour (20 hours overtime to be paid)
Therefore,
To find, gross payment, we will multiply by 10.38 by 20, and add to regular salary,
Gross payment = 10.38 × 20 = 207.6 + 1100
= 1307.6
Hence, the gross pay is $1307.6
Learn more about gross pay, click;
https://brainly.com/question/14690804
#SPJ1
a certain forest coavers an area of 3900 km^2 suppose that each year this area decreases by 3.25% what will be the aera after 6 years
The solution is, the area after 6 years is 3198.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Rate of reduction = 100 - 3.25 = 96.75%
After 6 years, the reduction in trees =0 .9675^6
=0.820
Area after 6 years = 3900 x 0.820
= 3198
Hence, The solution is, the area after 6 years is 3198.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ1
Naomi had a blast at the water park, even though she was 3 inches too short to ride the biggest slide, The Water Slinger. Naomi is 49 inches tall.
Let h represent the minimum height for The Water Slinger. Which equation models the problem?
mrs peery is sharing 18 biscutes between gemma and zak in the ratio 1:2
Answer:
gemma gets 6 and zac gets 12
Step-by-step explanation:
zac gets double the about
Shanti packs 4689 jelly beans equally into 15 bags and there are some jelly beans left. How many jelly beans are there left?
Answer:
hi !!
Step-by-step explanation:
you have to do an Euclidean division :
4689/15 = 312
the quotient is 312 so there will be 312 jelly beans per bags . The rest is 9 so there are 9 jelly beans left
There were 50% more apples picked this year than last. If there were 230 pounds of apples picked this year, how many pounds were picked last year?
Answer:
115 apples were picked last year
Step-by-step explanation
It says there are 50% more apples picked this year than last year. So, we divide 230 by 2 because 50% is half of 100%. 230÷2 = 115
115 apples
Use the Distributive Property to rewrite each expression in its equivalent form. 5x (2x + 6)
Answer:
10x+30x
Step-by-step Explanation:
Multiply 5x by 2x, which gives you 10xMultiply 5x by 6, which gives you 30xSolved! 10x+30x8 grades, help please!!!
Answer:
Step-by-step explanation:
no it isnt
there are six members on a student council. two of these members will serve on a spring formal committee. how many possible spring formal committees are there?
There are 30 different combinations of two members who can be selected to serve on the spring formal committee.
Permutation is the arrangement of elements in a specific order. In this scenario, the elements are the six members of the student council, and the order in which they are arranged is important.
To find the number of permutations, we use the formula nPk, where n is the number of elements and k is the number of elements we want to arrange.
In this case, n = 6 and k = 2,
so we have
=> 6P2 = 6!/(6-2)!
=> 6!/(4!) = 6 x 5/1 = 30.
So, there are 30 possible spring formal committees that can be formed from the six members of the student council.
To know more about permutation here.
https://brainly.com/question/1216161
#SPJ4
What is seventy five divided by four
Answer:
18.75
Step-by-step explanation:
45 points!
The graph of $y = 2x^2 - 8x + 7$ is identical to the graph of $y = a(x-h)^2 + k$ for some real numbers $a, h, k$.
What is the value of $k$?
The value of k is 3.
What are Quadratic Functions?Quadratic functions are polynomial functions of second degree.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
y = 2x² - 8x + 7
This function is identical to some function y = a(x - h)² + k
We have to write the given quadratic function in the form y = a(x - h)² + k.
2x² - 8x + 7 = (2x² - 8x) + 7
= 2(x² - 4x) + 7
= 2(x² - 4x + 4) + 7 - 4
We have the algebraic identity, (a - b)² = a² - 2ab + b²
= 2 (x - 2)² + 3
a = 2, h = 2 and k = 3
Hence the value of k is equal to 3.
Learn more about Quadratic Functions here :
https://brainly.com/question/18958913
#SPJ1
help asap will give briniest
Match the correlation coefficient with the correct association:
Question 8 options:
0.52
-0.86
-0.01
0.93
-0.66
1.
Strong association
2.
Weak association
3.
Moderate association
Answer:
strong:0.93
moderate:0.52
weak:-0.01
Step-by-step explanation:
The manager of a local radio station wants to find out what type of music people in
the area like the most. She surveys every 10th person leaving a country music
concert held near the radio station.
Is this sample likely to be representative of the population? Explain.
Answer:
No, this sample is not likely to be representative of the population. The sample only includes people who attended a country music concert, which means it does not include people who prefer other genres of music. Therefore, the survey results would likely be biased towards country music, and not necessarily reflective of the general population's music preferences.
One of the sides of a parallelogram has a length of 5 in. Can the diagonals
have the following lengths?
4 in. and 3 in.
with explanation, please !
Answer:
No, the diagonals of a parallelogram cannot have lengths of 4 in. and 3 in. The diagonals of a parallelogram bisect each other and have equal length. Therefore, if one diagonal has a length of 4 in., the other diagonal must also have a length of 4 in. and cannot have a length of 3 in.
Step-by-step explanation:
Yes, I know you pretty much
Bob had $300 in his bank account. He wrote 3 checks for exactly $20, then deposited $50. What is the overall change to his bank account?
Answer: He has 290 dollars.
Step-by-step explanation:
3 x 20 is 60
300-60 is 240
240 + 50 is 290.
The overall change is 110 dollars.
jennifer has three more dimes than nickels and three times as many quarters as nickels. if she has $7.50, how many quarters does she have? www.wyzant
Jennifer has 48 nickels, which means she has 144 quarters.
Let's call the number of nickels Jennifer has "n".
Since Jennifer has three more dimes than nickels, she has n + 3 dimes.
And since she has three times as many quarters as nickels, she has 3n quarters.
We can start by figuring out the total value of the nickels and dimes in terms of cents:
n * 5 cents + (n + 3) * 10 cents = 750 cents
Expanding the right side of the equation and solving for n:
5n + 10n + 30 cents = 750 cents
15n + 30 cents = 750 cents
15n = 720 cents
n = 48
So Jennifer has 48 nickels, which means she has 3 * 48 = 144 quarters.
You can learn more about finding missing quantity at
https://brainly.com/question/29417721
#SPJ4
what is a requirement for two sample means in order to conduct a hypothesis test for the difference between the two means? select all that apply!
The two samples must be independent, which means that the results of one sample should not influence the results of the other.
To lead a hypothesis test for the contrast between two examples implies, certain prerequisites should be met. The examples, right off the bat, should be free, implying that the two examples ought to be arbitrarily chosen and the people in a single example ought not to be available in another example.
Furthermore, the examples should be typically dispersed, which can be tried by plotting the information in a histogram.Also, the two examples ought to have equivalent differences, which can be tried by utilizing Levene's test.At long last, the two example sizes ought to be adequately huge to have stable outcomes, generally no less than 30 perceptions.Learn more about hypothesis tests:
https://brainly.com/question/17099835
#SPJ4
a ball is thrown vertically upward. after seconds, its height (in feet) is given by the function . after how long will it reach its maximum height? h(t)
The ball reaches its maximum height after 2 seconds.
To determine when the ball reaches its maximum height, we need to find when its velocity changes from positive to negative. The velocity of the ball is given by the derivative of its height, which is the function h'(t) = -16t. The ball's velocity is 0 when h'(t) = 0, so we need to solve -16t = 0.
The solution to this equation is t = 0. When t = 2, h'(t) = -32, which is negative, indicating that the ball is moving downward. So, the maximum height is reached when the velocity changes from positive to negative, which is at t = 2 seconds.
Learn more about Velocity here:
https://brainly.com/question/25749514
#SPJ4
A line has a slope of – 9 and includes the points ( – 9,1) and ( – 10,q). What is the value of q?
To find the value of q, we can use the point-slope form of a line:
y - y1 = m(x - x1)
where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) is a second point on the line.
In this case, we have the slope of the line as -9 and the point ( -9, 1), so we can plug in the values:
y - 1 = -9 (x - (-9))
Expanding and solving for y, we get:
y = -9x + 90
Next, we want to find the value of y when x = -10. Substituting this value into the equation:
q = -9(-10) + 90
Solving for q:
q = -90 + 90 = 0
So, the value of q is 0.
2.01 Quiz Polygons and Symmetry 1
What is the value of x?
X= ___
Answer:
Step-by-step explanation:
112+120+133+128+100+x=720
593+x=720
x=720-593
x=127
 so does anyone know the answer to this image please show the steps along with it.
The transformations of the parent cube function to the function g(x) = -2(x + 4)³ - 5 are given as follows:
Reflection over the x-axis.Vertical stretch by a factor of 2.Translation left 4 units.Translation down 5 units.What are the transformations?The parent cube function is given as follows:
f(x) = x³.
The transformed cube function is given as follows:
g(x) = -2(x + 4)³ - 5.
Hence the transformations are given as follows:
Multiplication by -2: vertical stretch by a factor of 2 and reflection over the x-axis, due to the negative number with absolute value of 2.x -> x + 4: translation left 4 units.y -> y - 5: translation down 5 units.More can be learned about transformations at https://brainly.com/question/29209050
#SPJ1
7. Kiran iS playing a video game. He earns 3 stars for each easy level he completes and 5
stars for each difficult level he completes. He completes more than 20 levels total and
earns 80 or more stars.
The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Kiran iS playing a computer game. He procures 3 stars for each simple level he finishes and 5 stars for each troublesome level he finishes. He finishes in excess of 20 levels altogether and procures at least 80 stars.
Let 'x' be the number of easy levels and 'y' be the number of difficult levels. Then the equations are given as,
x + y > 20
3x + 5y > 80
The inequalities that represent the situation will be x + y > 20 and 3x + 5y > 80.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
a sample of 4 different calculators is randomly selected from a group containing 47 that are defective and 29 that have no defects. what is the probability that all four of the calculators selected are defective? round to four decimal places.
The probability of selecting 4 defective calculators is 0.0009.
The probability of selecting 4 defective calculators out of a group containing 47 defective and 29 non-defective calculators can be calculated using the formula for a combination. The formula is n!/r!(n-r)! where n is the total number of items and r is the number of items being selected. In this case, n is 76 (47 defective + 29 non-defective) and r is 4. Therefore, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.
To calculate this answer, the first step is to calculate the total number of combinations that can be made using 4 items out of 76 items. This is calculated using the formula n!/r!(n-r)!. The numerator, n!, is equal to 76! which is equal to 5.43e+102. The denominator, r!(n-r)!, is equal to 4!(76-4)! which is equal to 5.90e+09. By dividing the numerator by the denominator, the probability of selecting 4 defective calculators is 0.0009. To round this answer to four decimal places, the answer is 0.0009.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
what is 8 x 3 7/9
cuz i dont know
Step-by-step explanation:
hdhfjojfbnx zvcmbbczABMM CXFHEWT
which figure is shown in the drawing
hen reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to which place? hundredths. thousandths. tenths.
When reading a buret with graduated markings at every 0.1 ml, your recorded volume should read to a) hundredths place.
Definition and Function of the BuretteA burette is a long tube-shaped glass instrument with scale lines like a measuring pipette or measuring cup with the same cross section from top to bottom. At the bottom of this tool is equipped with a faucet as a place for the solution to come out at the mouth of the burette.
The function of the burette is as a tool to measure the solution based on the volume released. The burette size usually has a volume of 25 / 50 ml.
If the burette is being used, it must be supported firmly with a stand equipped with clamps to clamp the burette. Make sure that when clamping the burette in the stand and clamp the position of the burette must be perpendicular so that the scale reading is correct and does not cause paralax errors.
Learn more about buret at https://brainly.com/question/25223760.
#SPJ4
the distance between the two curves changes for 0
The distance between the two curves, with respect to the curves changing can be calculated as follows:
3-(3-2sin(2θ))
[tex] \frac{dx}{dθ} 2 \sin(20) [/tex]
2cos(20)
4cos(20)
[tex]4 \cos(2 \frac{\pi}{3} ) = - 2[/tex]
The Fréchet distance is a mathematical metric for comparing the similarity of curves that takes into account the position and arrangement of curve points. Maurice Fréchet is honored by having his name used. The pairs of points that make up the Fréchet distance sweep continuously along their respective curves, so the Fréchet metric takes the flow of the two curves into account. As a result, the Hausdorff distance and other similarity measures for arbitrary point sets are inferior to the Fréchet distance for curves. Two curves might have a small Hausdorff distance but a large Fréchet distance.
Note that the full question is:
The distance between the two curves changes for 0<θ<π/2. Find the rate at which the distance between the two curves is changing with respect to θ when θ = π/3.
To learn more about distance: https://brainly.com/question/26550516
#SPJ4
Order these numbers from least to greatest.
4 7/11, 37/8, 4.427, 4.42
The order of given numbers is 4.42<4.427<4.625<4.64.
How to compare to decimals?Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.
The given numbers are [tex]4\frac{7}{11}[/tex] =4.64, 37/8 =4.625, 4.427, 4.42
From least to greatest is
4.42<4.427<4.625<4.64
Therefore, the order of numbers is 4.42<4.427<4.625<4.64.
To learn more about the comparison of decimals visit:
https://brainly.com/question/18270620.
#SPJ1
pls help plssssss
it would really help
The measure of angle Y is given as follows
m < XYZ = 72.9º.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.For angle Y, we have that:
The adjacent side length is of 4 cm.The opposite side length is of 13 cm.Applying the tangent function, the measure is obtained as follows:
tan(Y) = 13/4
Y = arctan(13/4)
Y = 72.9º.
More can be learned about trigonometric ratios at brainly.com/question/24349828
#SPJ1
Ross goes on a hiking trip. He hikes 2000 feet before stopping to rest. He turns around and hikes back 1050 feet and rests again. After some time, he hikes the rest of the way back to his starting point. Sketch the graph to show the distance from his starting point compared to time. Use the graph to find the total distance that Ross hiked.
Helpp!
The total distance that Ross hiked is 4000 feet.
How to determine the total distance hikedFrom the question, we have the following parameters that can be used in our computation:
He hikes 2000 feet before stopping to rest. He hikes back 1050 feet After some time, he hikes the rest of the way back to his starting pointThis means that the total distance travelled is
Total distance = 2 * Initial distance hiked
Substitute the known values in the above equation, so, we have the following representation
Total distance = 2 * 2000
Evaluate
Total distance = 4000
Hence, the total distance hiked is 4000 feet
See attachment for the graph
Read more about distance at
https://brainly.com/question/14335655
#SPJ1