15. For a school basketball game, the cost is $7.50 per ticketNumber of Shirts23Total Cost (S)4
Answers
Explanation
Step 1
as the cost per unit is 7.5 , we can set a function
\(\begin{gathered} total\text{ cost=}7.5x \\ where\text{ is is the number of shirts, } \end{gathered}\)so
a)for x=1
\(\begin{gathered} total\text{ cost=}7.5x \\ tota\text{l cost=}7.5*1=7.5 \end{gathered}\)b))for x=2
\(\begin{gathered} total\text{ cost=}7.5x \\ tota\text{l cost=}7.5*2=15 \end{gathered}\)c)forx= 3
\(\begin{gathered} total\text{ cost=}7.5x \\ tota\text{l cost=}7.5*3=22.5 \end{gathered}\)d)for x=4
\(\begin{gathered} total\text{ cost=}7.5x \\ tota\text{l cost=}7.5*4=305 \end{gathered}\)so, the answer is
Related Questions
Find the sum of the infinite geometric sequence.
If the answer is not an integer, enter it as a fraction in simplest form.
Answers
The sum of the infinite geometric sequence is 3 3/4
How to find the sum of the infinite geometric sequence.From the question, we have the following parameters that can be used in our computation:
The geometric sequence
In the geometric sequence, we have
First term, a = 3/5¹⁻¹
a = 3
Also, we have
Common ratio, r = 1/5
The sum of the infinite geometric sequence is calculated as
Sum = a/(1 - r)
So, we have
Sum = 3/(1 - 1/5)
Evaluate
Sum = 3 3/4
Hence, the sum of the infinite geometric sequence is 3 3/4
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Select all ratios equivalent to 10:9.
26:21 110:99 75:45
Answers
Answer:
9:0
Step-by-step explanation:
how do u expect me to explain it
At restaurants waiters typically receive tips that average 15% of the customer’s bill. At this rate, which of the following is the closest to the trip the waiter can expect to receive if the bill was $84.63?
A) $1.27
B) $12.69
C)$97.32
Answers
Answer:
B $12.69
Step-by-step explanation:
Divide 84.63 by 100 to get 1% of the bill and then multiply the answer by 15 for 15% and round it:
\($\frac{84.63}{100} \times 15 = 12.6945$\)
The closest answer would be B $12.69.
A shop makes a profit of £2 750 in March
It has an Easter sale and the profit for April is £3 162.50
Work out the profit percentage increase
Answers
The percent increase of the profit is 15%
How to determine the percent increase of the profit?In this question, the figures are given as
Profit in March = £2750
Profit in April = £3162.50
The percentage of the increase of the profit is then calculated using the following equation
Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%
Substitute the known values in the above equation, so, we have the following representation
Increase percentage = (3162.50 - 2750)/2750 * 100%
Evaluate
Increase percentage = 15%
Hence, the increase in percentage is 15%
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A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
Answers
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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If we know that W is a subset of the vector space V and we know that W contains the zero vector 0, then W must be a subspace of V.
True
False
Answers
The statement that W must be a subspace of V is "true."
What exactly is a vector's subspace?A vector space that's also enclosed inside another vector space is referred to as a subspace. So each subspace is a vector space in and of itself, but it is also defined in relation to another (larger) vector space.Fr the given question;
To demonstrate that a subset is indeed a subspace, you must demonstrate three things:
Show that it is closed in addition. Demonstrate that it is closed under scalar multiplication. Demonstrate that vector 0 is included in the subset.As, it is given in the question that;
W is a subset of the vector space V. W contains the zero vector.Which shows that the W must be within the subspace of V.
Thus, the set W is the subspace of V is true statement.
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Trova la primitiva della funzione f(x)= xì2-2x+1 che ha un flesso di ordinata 4/3
Answers
Answer:
cioè x ≥ 1; si avrà pertanto x > 0
Step-by-step explanation:
EXERCISE 2. Risolvere le seguenti disuguaglianze:
(1) | x−1 |< 3
(2) | x+1 |> 2
(3) | 2x+1 |< 1
(4) | x−1 |<| x+1 |
Caso: (a): | x−1 |< 3, risolvo
x−1 < 3
x ≥ 1
∪
−x+1 < 3
x < 1
, si avrà quindi
x < 4
x ≥ 1
cioè 1 ≤ x < 4 e
x > −2
x < 1
cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4
Caso: (b):
x+1 > 2
x ≥ −1
∪
−x−1 > 2
x < −1
, si avrà quindi
x > 1
x ≥ −1
cioè x > 1 e
x < −3
x < −1
cioè x < −3,
pertanto x < −3 ∪ x > 1
Caso: (c):
2x+1 < 1
x ≥ −1
2
∪
−2x−1 < 1
x < −
1
2
, si avrà quindi
x < 0
x ≥ −1
2
cioè −
1
2 ≤ x < 0 e
x > −1
x < −
1
2
cioè
−1 < x < −
1
2
. pertanto −1 < x < 0
Caso: (d): in questo caso,
−x+1 < −x−1
x < −1
∪
−x+1 < x+1
−1 ≤ x < 1
∪
x−1 < x+1
x ≥ 1
, si avrà quindi
0 < −2
x < 1
cioè non si hanno soluzioni e
x > 0
−1 ≤ x < 1
cioè 0 < x < 1 e
0 < 2
x ≥ 1
cioè x ≥ 1; si avrà pertanto x > 0
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 55 Miles/Hour . The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/Hour . The records show that exactly 1% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answers
The standard deviation of the car speeds is given as follows:
8.6 miles per hour.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean for this problem is given as follows:
\(\mu = 55\)
Then the standard deviation is obtained considering the 75 mph is the 99th percentile of the distribution, that is, when X = 75, Z = 2.327, hence:
\(2.327 = \frac{75 - 55}{\sigma}\)
\(2.327\sigma = 20\)
\(\sigma = \frac{20}{2.327}\)
\(\sigma = 8.6\)
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22. What is the mean of these
numbers?
2, 5, 4, 9, 5
Answers
Answer:
5
Step-by-step explanation:
Answer:
the mean is 5
Step-by-step explanation:
Drag each tile to each correct box. Not all tiles will be used
Order the steps for bisecting the line segment AB using a reflective device
*please help*
Answers
The steps for bisecting a line segment are to place the reflective device, draw the line of reflection, place the reflective device on point B, move the reflective device around, place the reflective device on point A and repeat the process.
How to bisect the line AB using a reflective device?This process implies creating a new line that is perpendicular to the original line, which means the new line will cross the original one. The steps for this are:
Place the reflective device anywhereDraw the line of reflectionPlace the reflective device on point BMove the reflective device aroundPlace the reflective device on point AMove the reflective device until it coincides with the one of point BLearn more about lines in https://brainly.com/question/2696693
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tìm một đoạn nghiệm của phương trình
3/x+1 +4/(x+1)^2+5/(x+1)^3+6/(x+1)^4=10
Answers
Answer:
btfrt34598fc
Step-by-step explanation:
what is the quotient of 35.86 divided by 2.123
Answers
Answer:
Its just 16.
Step-by-step explanation:
Did i do this right?
Answers
Answer:
-7 = x +6
Step-by-step explanation:
Answer:
Step-by-step explanation:si
The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
Answers
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
Find the vertex of the graphed function. f(x) = [x - 4] + 3
Answers
The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).
The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.
The constant term of 3 represents a vertical shift upwards by 3 units.
To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.
In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.
Therefore, setting x - 4 = 0, we find x = 4.
Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.
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Given: ΔABC, CM⊥AB, BC = 5, AB = 7, CA = 4√2
Find: CM
Answers
Step-by-step explanation:
first finding the area of the triangle by Heron's formula.
s=(a+b+c)/2, a=BC=5 unit, b=AC= 4√2unit, c=AB=7unit.
s=(5+4√2+7)/2 = (12+4√2)/2 =2( 6+2√2 )/2 = 6+2√2 unit .
Now, the Heron's formula : √s(s-a)(s-b)(s-c)
> √ (6+2√2)[(6+2√2)-5][(6+2√2)-4√2][(6+2√2)-7]
we have use √2's value ; 1.414 to simplify.
please simplify it with the help of calculator or doin it in a copy, because it is very difficult to share the full calculation. AFTER CALCULATION,
> √196.0000 > 14(units)².
Now, we know that the area of triangle is 14(units)². and another formula of finding the area of triangle is ½(base)(height). let the height be h.
Area = ½(base)(height)
=>14= ½(7)h. (after cross multiplication)
=>(14×2)/7=h. (after cancellation)
=>2×2=h.
=> 4units = h.
Therefore, CM that is the height is 4units.
I have every time written units because the unit is not given or you have not posted if given in the question you will write that unit only like cm or m anything like that.
A rectangle has side lengths (x+5) meters and (2x - 1) meters. Wite an expression in the simplest form that
represents the perimeter of the rectangle.
Answers
Answer:
P = 6x+8
Step-by-step explanation:
P = perimeter
P = 2[(x+5) + (2x-1)]
P = 2(3x+4)
P = 6x+8
Evaluate. [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answers
The value of given expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5
In this question, we have been an expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9)
We need to evaluate given expression.
First we write an improper fraction as proper fraction.
1 1/5 = 6/5
So given expression becomes,
[(1 1/5−2/5)⋅(− 3/4)3]÷(−9)
= [(6/5 − 2/5) × (− 3/4) 3] ÷ (−9)
= [(4/5) × (-9/4)] ÷ (−9)
= (-9/5) ÷ (-9)
= 1/5
Therefore, the value of given expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5
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Labor economists have extensively researched the determinants of earnings. Invest-ment in human capital, measured in years of education, and on the job training aresome of the most important explanatory variables in this research. You decide toapply earnings functions to the field of sports economics by finding the determinantsfor baseball pitcher salaries. You collect data on 455 pitchers for the 1998 baseballseason and estimate the following equation using OLS and heteroskedasticitv-robust standard errors:
Ln (Eami) = 12.45 + 0.052 x Years + 0.00089 x Innings + 0.0032 x Saves
(0.08) (0.026) (0.00020) (0.0018)
- 0.0085 x ERA, R^2 = 0.45, SER = 0.874
(0.0168)
where Earn is annual salary in dollars, Years is number of years in the major leagues, Innings is number of innings pitched during the career before the 1998 season, Saves is number of saves during the career before the 1998 season, and ERA is the earned run average before the 1998 season.
A) What happens to earnings when the pitcher stays in the league for one additional year? Compare the salaries of two relievers, one with 10 more saves than the other. What effect does pitching 100 more innings have on the salary' of the pitcher? What effect does reducing his ERA by 1.5? Do the signs correspond to your expectations? Explain.
B) Are the individual coefficients statistically significant? Indicate the level of significance you used and the type of alternative hypothesis you considered.
C) Although you are quite impressed with the fit of the regression, someone suggests that you should include the square of years and innings as additional explanatory variables. Your results change as follows:
Ln (Eami) = 12.15 + 0.160 x Years + 0.000268 x Innings + 0.0063 x Saves
(0.05) (0.039) (0.00030) (0.0010)
-0.0584 x ERA - 0.0165 x Years - 0.00000045 x Innings
(0.0165) (0.0026) (0.00000012)
R^2 = 0.69, SER = 0.666
What is her reasoning? Are the coefficients of the quadratic terms statistically significant? Are they meaningful?
D) Calculate the effect of moving from two to three years, as opposed to from 12 to 13 years.
E) You also decide to test the specification for stability across leagues (National League and American League) by including a dummy variable for the National League and allowing the intercept and all slopes to differ. The resulting F-statistic for restricting all coefficients that involve the National League dummy variable to zero, is 0.40. Compare this to the relevant critical value from the table and decide whether or not these additional variables should be included.
Answers
Answer:
Kindly check explanation for other solutions
Years, Inning and saves are statistically significant ; ERA is not.
Step-by-step explanation:
Earning for staying one additional year :
Multiply slope value of years * 1 = 0.052 * 1 * 100 % = 5.2% (earning increases by 5.2%)
Relives with 10 more saves :
10 * 0.0032 * 100% = 3.2% (earning increases by 3.2%)
Having 100 more innings :
100 * 0.00089 * 100% = 8.9%
If ERA is reduced by 1.5 ; earning will increase by (0.0085*100)% * 1.5 = 1.275%
B.) At 5% level of confidence :
α = 1.64
Years = 0.052/0.026=2
Inning = 0.00089/0.00020 = 4.45
Saves = 0.0032/0.0018 = 1.78
ERA = 0.0085/0.0168 = 0.51
Years, Inning and saves are statistically significant as they are greater than α ; As for ERA, it is not statistically significant (0.51 < 1.64)
Two books, A and B, are sold in three stores, X, Y and Z. The number of copies of book A sold in a month is 40, 20, and 60 from stores X, Y, and Z, respectively. The number of copies of book B sold is 10, 70, and 20 from X, Y, and Z, respectively. The profit from the sales of book A is $4, and the profit from the sales of book B is $1 for all the three stores. Which matrix represents the profit from the sales of book A for each store?
Answers
The matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.
The matrix representing the profit from the sales of book A for each store is as follows:
Store Book A
X $4
Y $4
Z $4
Therefore, the matrix representing the profit from the sales of book A for each store is:
[ $4 ]
[ $4 ]
[ $4 ]
Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).
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find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet
Answers
Answer: 91 ft
V = b x h
V = 13 x 7
V = 91
Jessica wants to make a ramp using a board so that she can ride her bike onto the front porch. The ramp must reach from the ground to the floor of the porch, which is 212
ft above the ground. Jessica has decided that the ramp cannot have an incline of more than 35°.
What length board should Jessica buy if she uses the maximum angle of incline?
Enter your answer in the box. Round only your final answer to the nearest tenth
Answers
Length of board should Jessica buy is 4.4 feets.
Step-by-step explanation:
Height of the ramp =
Distance of the porch from the ground = x
Inclination of the ramp,θ = 35°
In triangle ABC,
AB =
AC = x
θ = 35°
According trigonometric ratios:
Length of board should Jessica buy is 4.4 feets.
Solve for x. 24= -4(x-1)
Answers
Answer:24 = 24x
Step-by-step explanation:Cross multiply:
2 * 12 = x * 24
Simplifying
2 * 12 = x * 24
Multiply 2 * 12
24 = x * 24
Reorder the terms for easier multiplication:
24 = 24x
Solving
24 = 24x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24x' to each side of the equation.
24 + -24x = 24x + -24x
Combine like terms: 24x + -24x = 0
24 + -24x = 0
Add '-24' to each side of the equation.
24 + -24 + -24x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -24x = 0 + -24
-24x = 0 + -24
Combine like terms: 0 + -24 = -24
-24x = -24
Divide each side by '-24'.
x = 1
Simplifying
x = 1
Four years ago, Tasha bought a car for $28,000. Since then, the car has decreased in value by $2,400 each year. What is the percent of change in the value of the car from when Tasha purchased it to now? Round to the nearest tenth of a percent. A. 34.3% B. 52.1% C. 47.8% D. 65.8%
Answers
Answer:
I don't know sorry:(((
Step-by-step explanation:
÷::&":;,';
Solve for x:
A: 3x - 7 = -19; x =
B: 2x + 3 = -11; x =
C: -3 + 1 = -26; x =
D: 6x + 3 = -15; x =
E: -9 + 7x = 33; x =
F: -2x + 8 = 4; x =
( URGENT PLEASE SOLVE !!! )
Answers
A: x = -4
B: x = -7
C: There is no solution for x since -2 does not equal -26.
D: x = -3
E: x = 6
F: x = 2
What is the surface area of the triangular prism???
I really need an answer to this. My math test is tomorrow and I really need to be prepared!
Answers
The surface area of the triangular prism is B. 1,008 \(cm^{2}\)
What is Triangular Prism?Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.
How to determine this
The surface area of the triangular prism = Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.
Area of the front and back triangle will be the the same given the same base and height
To find the area of the triangle = 1/2 * Base * Height
Where base = 12 cm
Height = 9 cm
Area = 1/2 * 12 cm * 9 cm
Area = 6 * 9 \(cm^{2}\)
Area of the one triangle = 54 \(cm^{2}\)
So, by multiplying each sides of the triangle by the length
= Base * Length
= 12 cm * 25 cm
= 300\(cm^{2}\)
Height * Length
= 9 cm * 25 cm
= 225 \(cm^{2}\)
Then, Hypotenuse * Length
= 15 cm * 25 cm
= 375 \(cm^{2}\)
Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)
Surface Area = 1,008\(cm^{2}\)
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can someone please help with this problem please
Answers
Answer:
1360 seats sold
Step-by-step explanation:
total seats = 1600
total seats sold = 85% of 1600
= 85/100 × 1600
= 85 × 16
= 1,360 seats sold
Write an equation and solve. You are saving money to buy a new iPad that costs $353. You have saved $225. How much more money do you need to save?
Answers
Answer: You have to save $128 more dollars.
Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)
How can I figure out what set is a function? I did not understand this in class today.
Answers
Functions
A function is a relation in which each input has only one output.
If we are given a set of ordered pairs (x,y) and find that for a specific value of x there is more than one value of y, then it's NOT a function.
Let's analyze each option.
The first set contains two ordered pairs (7,-3) and (7,9) that give for x=7 two different values of y, so this is not a function.
The third set contains the ordered pairs (6,6) and (6,-7). The input value 6 has two different output values. This is not a function either.
The fourth set also fails to be a function because (0,-5) and (0,-2) give to x=0 two different outputs for y.
The second option is a function because every value of the input set has only one value in the output set.
WILL GIVE BRAINLIEST PLEASE HELP !!!!!
Answers
Answer: sorry but i am not in collage just in 8 grade
Step-by-step explanation:
Two objects are congruent if they are the same size and shape. ... There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent.