Giselle's youth club sells cookies to fund their trips and activities. Each year they need to earn $1,247 from selling cookies. For each box of cookies they sell, they make $1.45. If Giselle's club has already made $472.70 from selling cookies, how many more boxes do they need to sell to meet their goal?

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

The answer is D

I hope this is right

Answer:

A. 7

Step-by-step explanation:

7= 1*7

8= 1*8= 2*4

9= 1*9= 3*3

10= 1*10= 2*5

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Answer:

502.655

Step-by-step explanation:

The actual answer was 502.655

Answer:

Step-by-step explanation:

so for the triangles in 7)   they angles are the same in each, that's what the lines are saying,  that they are the same angles, and because the angle are the same, the triangles are just a scale of each other we can say that the X side is just a ratio of the other triangle , or

\(\frac{6}{12}\) = \(\frac{10}{x}\)

now just solve for X

\(\frac{12}{6}\) * \(\frac{6}{12}\) = \(\frac{10}{x}\) * \(\frac{12}{6}\)

x = 120/6

x=20

_______________________________

for the triangles in 8)  same thing

\(\frac{x}{3}\) =  \(\frac{14}{21}\)

\(\frac{3}{1}\) * \(\frac{x}{3}\) =  \(\frac{14}{21}\) * \(\frac{3}{1}\)

X = \(\frac{14}{7}\)

X = 2

Marco practiced 1.13 hours more on Tuesday than on Monday.

In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. 

Given that,

Marco practiced for only 7/10 hours on Monday (less than the expected  \(1\frac{1}{4}\)hours)

He practiced for \(1\frac{5}{6}\) hours on Tuesdays.

He is supposed to practice \(1\frac{1}{4}\) hours each day.

Finding the difference between the hours he practiced each day:

\(1\frac{5}{6} - 7/10 = 11/6-7/10= (110-42)/60 = 68/60 = 1.13 hours\)

Thus,  Marco practiced 1.13 hours more on Tuesday than on Monday.

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The amount of sales is 7500$

Given the exponential function:

to find the initial value of the house, we can make t = 0 and evaluate on v(t):

then, the initial value of the house is $325900

Notice that the rate factor on the function is 0.92, which, since it is less than 1, shows a decay rate.

Finally, since the decay factor is 0.92, we have that the house each year losses 100-92=8% of its value

Answer:

69.08 yd

Step-by-step explanation:

Answer:

75 shots and 15.1%

Step-by-step explanation:

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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\(\\ \tt\longmapsto y-y_1=m(x-x_1)\)

\(\\ \tt\longmapsto y-1=4(x-1)\)

\(\\ \tt\longmapsto y-1=4x-4\)

Extra shots

Standard form

\(\\ \tt\longmapsto 4x-y-3=0\)

Slope intercept form

\(\\ \tt\longmapsto y=4x+3\)

Solution:

Note that:

Use the formula to convert the line in point slope form.

The equation of the line (In point slope form) is y - 1 = 4(x - 1).

Answer:

x=2 or x= -2

Step-by-step explanation:

x^2 - 4 = 0

x ^2  − 4  +  4  =  0 + 4  

x^2 = 4

√ ( x ^2 ) = √ 4

=  ±  2  =  { x 1 = − 2

              x 2 = 2

Answer:

X=2 or X=-2

Step-by-step explanation:

x^2 - 4 = 0

x ^2  − 4  +  4  =  0 + 4  

x^2 = 4

√ ( x ^2 ) = √ 4

=  ±  2  =  { x 1 = − 2

             x 2 = 2

The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

The Number of red balls = 5

The number of blue balls = 6

The number of green balls = 8

The Total number of balls = 5 + 6 + 8 = 19

Then with three balls selected at random, by using combination method ;

nCr = n!/(n-r)!r!

a) P( of the same color) = 5C3 + 6C3 + 8C3 / 19C3

=  86/969 = 0.08875

b) P ( of different color) = 5C1 X 6C1 X 8C1 /19C3

= 240/969 = 0.247678

Hence, The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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Answer:

27

Step-by-step explanation:

Answer:

ST=27   (Hope this helps)

Step-by-step explanation:

         RS+ST=100

           2x+7+x-6=100

             3x+1=100

               3x=99

                 x=33

         ST=33-6

           ST=27

Answer:

(x-2)2 +1.

Step-by-step explanation:

Hope this helps!

It looks like the vertex is (2,1) based on the multiple choice answers.

The formula for an equation in vertex form is a(x-h)2+k.

The vertex is known as (h,k).

(x-+2)2+1.

In other words, (x-2)2+1.

To determine Emma's federal income tax (FIT) withholding, we need to consider her annual salary, pay frequency, filing status, and the standard withholding allowances.

Given that Emma earns an annual salary of $84,400 and is paid biweekly, we can calculate her gross biweekly salary by dividing the annual salary by the number of pay periods in a year. Assuming there are 26 pay periods in a year for biweekly payments:

Gross biweekly salary = Annual salary / Number of pay periods

                    = $84,400 / 26

                    = $3,246.15 (rounded to two decimal places)

Next, we need to determine Emma's withholding allowances based on her filing status. Since she selected "married filing jointly" and is using the standard withholding, the default number of allowances for this status is usually higher compared to single or married filing separately. However, the specific number of allowances can vary based on personal circumstances.

As of my knowledge cutoff in September 2021, the standard withholding allowances for married filing jointly were as follows:

First allowance: $4,300

Additional allowances: $4,400

Please note that tax laws can change, and it's advisable to consult the latest IRS guidelines or use an online tax calculator to get accurate withholding information.

To calculate Emma's FIT withholding, we'll subtract her allowances from her gross biweekly salary and apply the appropriate tax rates. For simplicity, let's assume Emma has one withholding allowance:

Total allowances = First allowance + Additional allowances

               = $4,300 + $4,400

               = $8,700

Taxable income = Gross biweekly salary - Total allowances

             = $3,246.15 - $8,700

             = -$5,453.85 (negative because allowances exceed the salary)

Since the taxable income is negative, Emma's FIT withholding should be $0. In this case, no federal income tax will be withheld from her biweekly paychecks. However, please note that Emma may still owe taxes when filing her annual tax return if her other sources of income or deductions are not accounted for in her withholding calculations.

A volume of 2 liters is needed to obtain a 92 % solution.

In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:

(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)

Where V is the volume needed of the pure acid, in liters.

3.52 L + V = 3.68 L + 0.92 · V

0.08 · V = 0.16 L

V = 2 L

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b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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Answer: Cannot be factored

Step-by-step explanation:

= Factor Y^2x -y^x-20

= Cannot be factored

Answer:

the answer is w

Step-by-step explanation:

the answer to that question is w

Answer: y

Step-by-step explanation:

there can not be two of the same number in the x row

(a) g'(π/3)  = 12. This can be found using the product rule, which states that the derivative of f(x) g(x) is f'(x) g(x) + f(x) g'(x). In this case, f(x) = sin x and g(x) = f(x), so the product rule gives us: g'(x) = f'(x) g(x) + f(x) g'(x)

Plugging in x = π/3 and using the fact that f(π/3) = 4 and f'(π/3) = −3, we get g'(π/3) = (-3) 4 + 4 g'(π/3)

Solving for g'(π/3), we get g'(π/3) = 12.

(b) h'(π/3)

The h'(π/3) = −3/4, this can be found using the quotient rule, which states that the derivative of f(x)/g(x) is (g'(x) f(x) - f'(x) g(x)) / [g(x)]^2. In this case, f(x) = cos x and g(x) = f(x), so the quotient rule gives us h'(x) = (f'(x) g(x) - f(x) g'(x)) / [g(x)]^2

Plugging in x = π/3 and using the fact that f(π/3) = 4 and f'(π/3) = −3, we get: h'(π/3) = ((-3) 4 - 4 (-3)) / (4)^2 = -3/4

The product rule and quotient rule are two important differentiation rules that can be used to find the derivatives of composite functions. The product rule states that the derivative of f(x) g(x) is f'(x) g(x) + f(x) g'(x). The quotient rule states that the derivative of f(x)/g(x) is (g'(x) f(x) - f'(x) g(x)) / [g(x)]^2.

In this problem, we were given that f(π/3) = 4 and f'(π/3) = −3. We were then asked to find g'(π/3) and h'(π/3). To find g'(π/3), we used the product rule. To find h'(π/3), we used the quotient rule.

The product rule and quotient rule are powerful tools that can be used to find the derivatives of a wide variety of functions. They are essential for anyone who wants to understand calculus.

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                                       "complete question"

Suppose f(π/3) = 4 and f '(π/3) = −3, and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following.

(a) g'(π/3)

(b) h'(π/3)

Answer:

(a). The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b.

\(s _{1} = \frac{d _{1} }{t _{1} } \\ = \frac{15}{1.5} \\ s _{1} = 10 \: miles \: per \: hour \\ \\ s _{2} = \frac{d _{2} }{t _{2}} = \frac{45}{2} \\ = 22.5 \: miles \: per \: hour \\ average = \frac{22.5 + 10}{2} \\ = 16.25 \: miles \: per \: hour\)

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)The average rate of change represent is 16.25 miles per hour.

a) The bus decelerated to rest through 75 miles for 1.25 hours and accelerated through same distance for 1.25 hours.

b)

s1 = d1/t1

15/1.5

s1 = 10 miles per hour

s2 = d2/t2

22.5 miles per hour

Average = 16.25 miles per hour.

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

2

Step-by-step explanation:

Answer:

\(-5x+7\)

Step-by-step explanation:

Given: Two expressions are \((4x+1),(-9x+6)\)

To find: sum of the given expressions in simplest terms

Solution:

A variable is a term that takes various numerical values and a constant is a term that takes a fixed numerical value.

Consider \((4x+1)+(-9x+6)\)

Here, solve \((4x-9x),(1+6)\)

\(4x-9x=(4-9)x=-5x\\1+6=7\)

Therefore,

\((4x+1)+(-9x+6)=(4x-9x)+(1+6)=-5x+7\)

The given statement "A right solid has an axis that is also an altitude" is False. The Correct statement is "A right Cone has an axis that is also an altitude".

The altitude of the cone is the perpendicular segment from the vertex to the plane of the base. The length of the altitude is also the height of the cone. So we can say that A right Cone has an axis that is also an altitude.

A right solid have an axis that is also an altitude is the incorrect statement. So, the correct statement is that a right cone has an axis that is also an altitude.

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