write an equation for the money they collect,y,as a function of the number of t-shirts they sell,x.
Answers
Answer:
Step-by-step explanation:
There are several ways to write an equation for the money collected as a function of the number of t-shirts sold. One possible equation is $y = x \cdot p$, where $p$ is the price of each t-shirt. This equation says that the total amount of money collected is equal to the number of t-shirts sold multiplied by the price of each t-shirt.Another possible equation is $y = p \cdot (x - c)$, where $c$ is the cost of producing each t-shirt. This equation says that the total amount of money collected is equal to the price of each t-shirt multiplied by the number of t-shirts sold minus the cost of producing each t-shirt.These are just two examples of how to write an equation for the money collected as a function of the number of t-shirts sold. The exact equation will depend on the specific details of the situation.
Related Questions
Give an example of a proportion using only numbers. How do you know it is a proportion?
Answers
Answer:
Step-by-step explanation:
Give an example of a proportion using only numbers.
When all numbers are given (A, B, C, D) in order to assess whether the proportion is true or false it will calculate the value of the division of A by B (A/B), and the value of the division of C by D then compares it. If the two resulting values are equal then the ratio is TRUE, otherwise is FALSE. Few examples of calculations 1.
How do you know it is a proportion?
A proportion is just an expression setting two ratios equal to each other, using different absolute numbers in the fractions. Proportions are written like ratios are, for example, a/b = c/d or a:b = c:d. You don't need a fancy ratio calculator function to solve most simple ratio problems.
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answers
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
Jessica went shopping and bought a pair of jeans that were on sale for 25% off the original price of $23.98. A 6% tax was also added on to the sale price. Enter the total amount that Jessica spent on the jeans. Round your answer to the nearest cent, if necessary.
Answers
$19.07
Step-by-step explanation:
First off we need to find the discounted price of the jeans that Jessica bought.
We find the discount by multiplying the original price by 25% or 0.25
Discount Price = 23.98 x 0.25
Discount Price = 5.99
Now we subtract the discount from the original price.
Discounted Price = 23.98 -5.99
Discounted Price = 17.99
Now that we have the discounted price, we then compute for the sales tax.
Sales Tax = 17.99 x 0.06
Sales Tax = 1.08
Then we add the sales tax to the discounted price.
Total Price = 17.99 + 1.08
Total Price = $19.07
Jessica spent $19.07 on the jeans.
can someone help me please
Answers
Answer:
The hypotenuse is \(8\sqrt{3}\) and the other missing side is 12
Step-by-step explanation:
We use the 60 degree angle and side length 4sqrt(3) to find the hypotenuse using,
H = Hypotenuse
Y = The other side that we need to find
cos(a) = Adjacent/H
H = Adjacent/cos(a)
\(Adjacent = 4\sqrt{3} \\a = 60\\H = 4\sqrt{3} /cos(60)\\H = 8\sqrt{3}\)
Now, finding the other side,
Using
tan(a) = Y/Adjacent
Y = (Adjacent)(tan(a)
\(adjacent = 4\sqrt{3} \\a = 60\\Y = (4\sqrt{3} )(tan(60))\\Y = 12\)
hence the hypotenuse is 8sqrt(3) and the other side is 12
A software development company is voting to elect a president, a secretary, a treasurer, and three directors. If a total of 11 qualified candidates applied for these positions, in how many ways can the positions be filled?
Answers
The ways to elect the candidates from the total is 462
How to determine the ways of selection?From the question, we have
Total number of candidate, n = 11Numbers to selection, r = 6 i.e. the president, a secretary, a treasurer, and three directorsThe number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 11!/5!6!
Evaluate
Total = 462
Hence, the number of ways is 462
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Which value is a solution to the inequality x 4
Answers
Answer:
0
Step-by-step explanation:
x < 4 means all numbers less than 4, excluding 4 itself.
4.5 > 4.
5 > 4.
so 0 is the solution
Answer:
4
Step-by-step explanation:
interval notation ( negative infinity, 4)
determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8
Answers
Answer:
x = 3 ± \(\sqrt{24}\)
or
x = 3 + \(\sqrt{24}\), x = 3 - \(\sqrt{24}\)
Step-by-step explanation:
given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40
So, we plug in 40 for f(x) in the 1st equation and solve for x. (Aim to got x on its own)
40 = 2 (x - 3)^2 - 8
+ 8 + 8
-----------------------------
48 = 2 (x - 3)^2
/2 /2
-----------------------------
24 = (x - 3)^2
square root both sides
--------------------
\(\sqrt{24}\) = x - 3
x = 3 ± \(\sqrt{24}\)
Solve inequalities using the addition and subtraction properties of inequality. And Solve three part inequalities.12x < -21answer from book. graph number line and and (a) {x | x < -7/4} (b) (-inf, -7/4)
Answers
Given the inequality;
\(12x<-21\)Then, we will divide both sides of the inequality by 12;
\(\begin{gathered} \frac{12x}{12}<-\frac{21}{12} \\ x<-\frac{7}{4} \end{gathered}\)The number line graph is;
The interval notation solution is;
\((-\infty,-\frac{7}{4})\)
5/12 as a whole number
Answers
Answer:
the answer is 0.41666666666
Answer:
when we convert 5/12 as whole number we get 0.41666666666
2/5 divided 1/2 as a unit rate
Answers
Answer:
2/5 divided 1/2 as a unit rate .what do you mean
3(-5y+2)= 21 how do i solve this problem algebraically?
Answers
Answer:
Step-by-step explanation:
1)expand out the bracket
-15y+6=21
2) get the y to one side
6=21+15y
3) solve
15=15y
1=y
Answer:
Y= -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(−5y+2)=21
(3)(−5y)+(3)(2)=21(Distribute)
−15y+6=21
Step 2: Subtract 6 from both sides.
−15y+6−6=21−6
−15y=15
Step 3: Divide both sides by -15.
−15y −15 = 15 −15
Y= -1
Find the length of the third side. If necessary, round to the nearest tenth. 25 7.
Answers
The value of the length of the third is 24
How to determine the valueUsing the Pythagorean theorem which states that the square of the hypotenuse side is equal to the sum of the other two sides.
This is represented as;
a² = b² + c²
Given that the parameters are;
a is the hypotenuseb and c are the opposite and adjacentsubstitute the values
25² = 7² + c²
find the square
c² = 625 - 49
subtract the values
c = √576
c = 24
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A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answers
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Answers
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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Can someone help me ASAP !?
Answers
Answer:
1/6
Step-by-step explanation:
2 is 1/6th of 12
5 is 1/6th of 30
Answer:
C.) 6
Step-by-step explanation:
I multiplied the number 2 by X and my sum was Y.
1. Quadrilateral LBMN is the result of a 180 degree rotation of Quadrilateral ABCD around point B, write the corresponding angles and segments in the table below.
Answers
In the quadrilateral ABCD and LBNM the corresponding angles and line segments are as follow,
∠A = ∠L, ∠D =∠M , ∠C = ∠N , and
AB = LB , CD = NM , DA = ML.
Quadrilateral ABCD rotates 180 degrees around point B,
New quadrilateral formed named LBMN
The corresponding angle after rotation of 180 degrees around B is equals to,
B remain at same position.
A rotates and point L take the position of A.
D rotates and point M take the position of D.
C rotates and point N take the position of C.
Corresponding angle to A is angle L.
Corresponding angle to D is angle M.
Corresponding angle to C is angle N.
Similarly corresponding segments are of ABCD and LBNM are
Line segment AB corresponds to line segment LB.
Line segment CD corresponds to line segment NM
Line segment DA corresponds to line segment ML.
Therefore, in the quadrilateral the corresponding angles and line segments are ∠A = ∠L, ∠D =∠M , ∠C = ∠N , AB = LB , CD = NM , and DA = ML.
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Solve the equation
-3x²-150
Answers
60 is thaks for points
Step-by-step explanation:
I think
34 + (-21) +15 = 0
5
-2
NE
2.
Answers
Answer:
\(34 + ( - 21) + 15 = 28\)
What is the slope of the line represented by the equation 3x + 4y
12?
Answers
Answer:
Are you looking for coordinates or a equation?
Step-by-step explanation:
Answer:
y=-3/4x+3
Step-by-step explanation:
3x+4y=12
-3. -3
4y=-3x+12 (I put the 3x first just so that it is already in slope intercept form)
4y/4=-3x/4+12/4
y=-3/4x+3
Two hens can lay 2 eggs in 2 minlutes if that is the maximum speed how many hens can lay 500 eggs in 500 minutes
Answers
To determine how many hens are needed to lay 500 eggs in 500 minutes, we divide 500 eggs by the number of eggs laid by each hen in 500 minutes. In this case, 500 eggs divided by 250 eggs per hen equals 2 hens.
So, you would need two hens to lay 500 eggs in 500 minutes at their maximum speed.
2. Choose whether the given sets of lengths are or are not possible side lengths
of a triangle.
Possible side lengths Not possible side lengths
3 ft, 5 ft, 9 ft
11 cm, 6 cm, 17 cm
4 in., 4 in., 6 in.
16 yd, 10 yd, 12 yd
Answers
The first and second lengths are not possible lengths of triangle.
The third and fourth lengths are possible lengths of triangle.
What are the possible lengths of triangle?For the first case; 3 ft, 5 ft, 9 ft: Not possible. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 3 ft + 5 ft = 8 ft, which is less than 9 ft.
For the second case. 11 cm, 6 cm, 17 cm: Not possible. Using the same reasoning as above, we see that 6 cm + 11 cm = 17 cm, which means that the three sides cannot form a triangle.
For the third case. 4 in., 4 in., 6 in.: Possible. The sum of any two sides is greater than the third side, since 4 in. + 4 in. = 8 in., which is greater than 6 in. Therefore, these lengths can form a triangle.
For the fourth case. 16 yd, 10 yd, 12 yd: Possible. Again, we see that the sum of any two sides is greater than the third side, since 10 yd + 12 yd = 22 yd, which is greater than 16 yd. Therefore, these lengths can form a triangle.
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138.867545518 to 4 decimal places.
Answers
Step-by-step explanation:
138 I guess I think. this is the answer.
A to D is an example of _____________?
A. reflection across the line y = 1
B. reflection across the line y = x
C. y-axis symmetry
D. x-axis symmetry
Answers
Answer:
D
Step-by-step explanation:
A and D are both equidistant from the x- axis, that is
A is 3 units above the x- axis and D is 3 units below the x- axis
then the x- axis is the line of symmetry
I need the surface area for this prism. If you could provide a formula too, that would be great!
Answers
Answer:
136 \(m^{2}\)
Step-by-step explanation:
Back of the shape area/ front of the shape area
A = \(\frac{1}{2}\) \((bh)\)
A = \(\frac{1}{2}\) (6 × 4)
A = \(\frac{1}{2}\) (24) Divide 24 ÷ 2
A = 12
Bottom of the shape area
A = l · w
A = 7 · 6
A = 42
Left side of the shape area/right side of the shape area
A = l · w
A = 7 · 5
A = 35
---------------------------------------------------------------------------------
35 + 35 + 42 + 12 + 12 = 136 \(m^{2}\)
SA = 136 \(m^{2}\) Surface Area = 136 \(m^{2}\)
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answers
Complete Question
A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:
a. The average index of elementary school children must be 60.69.
b. The standard deviation of the sample is about 10% smaller than the population standard deviation.
c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.
d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.
e. 4.40 is 95% of the true average of the index for all elementary school children.
f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.
Answer:
The correct option is a and f
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The 95% confidence interval is (56.29, 65.09)
Generally the sample mean(average index of elementary school children) is mathematically represented as
\(\= x = \frac{65.09 + 56.29}{2}\)
=> \(\= x = 60.69 \)
The perimeter of a rectangular window is 43 feet. The width of the window is 5 ft more than the length. Find the width of the window
Answers
Answer:
13.25 ft
Step-by-step explanation:
Let w represent the width of the window. Then w-5 represents the length, and the perimeter is ...
P = 2(L+W)
43 = 2((w-5) +w) = 4w -10
53/4 = w = 13.25 . . . feet
The width of the window is 13.25 ft.
caculate the following multiplication
\(67 \times 12\)
Answers
Answer:
804
Step-by-step explanation:
Just use a calculator.
I need 23 questions answered
Answers
The surface area of a rectangular prism is 48 5/6 mi².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]
Surface area of rectangular prism = 2[14 + 15/2 + 35/12]
Surface area of rectangular prism = 48 5/6 mi².
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2+2 what is da answer ill gib bralniest
Answers
Answer:
4
Step-by-step explanation:
2+2=4
Answer:
Step-by-step explanation:
4
Please help me !!!!!!
Answers
Answer:
it's option is last one.
Subtract to eliminate y.
Hope it will help :)❤