Carly uses 3/4 cup of lemonade for each customer at her lemonade stand. If she has 5 1/2 cups of lemonade left, how many more customers can she serve?

Answer:

-7

Step-by-step explanation:

Answer:

InfinitE number of solutions

Step-by-step explanation:

y=3x-2

6x-2y=4

sub value of y in first equation (3x-2) into 2nd equation

6x-2(3x-2)=4

6x-6x+4=4

0+4=4

4=4

since the equation equals on both sides, the answer is infinite number of solutions.

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

To know more about annual annuity payment,

https://brainly.com/question/31981614

#SPJ11

According to the question,

Given data in the question.

If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

What is the average length of DNA per gene?

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.

The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.

How long does DNA typically be per gene?

Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G  bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G   bp, 208.23 cm, and 6.51 p g are the female measurements.

The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,

To know more about genome visit

https://brainly.com/question/27842203

#SPJ1

The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.

Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."

The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.

Find out more about DNA size here:

https://brainly.com/question/20556821

#SPJ4

Answer:

A = 19.25

Step-by-step explanation:

4/7 = 11/A

Using cross products

4A = 11*7

4A=77

Divide each side by 4

4A/4 = 77/4

A = 19.25

Answer:

one plane will be at an altitude of 39900 and the other will be at 33464

Step-by-step explanation:

airplane 1 -

39,900 divided by 3100 = 12.87

airplane 2-

2600 x 12.87 = 33,464

Answer:

For an nth term in an arithmetic sequence

U(n) = a + ( n-1)d

a = first term

d = common difference

n = number of terms.

Considering the above picture

a = 9

d = 6 - 9 = - 3

For an nth term of the sequence

U(n) = 9 + (n - 1)-3

= 9 - 3n + 3

= 12 - 3n

Hope this helps

The evaluated lateral surface area is 261.8 square meters, under the condition that the base length is 20 m and height is 13 m.

The lateral surface area of a cylinder is given by the formula 2πrh
Here,
r = radius of the base
h = height of the cylinder.
For the given case, the base length is 20 m and height is 13 m. Then the base length is stated  instead of the radius, we have  to evaluate the radius first.
The radius of a cylinder can be found applying the formula r = l/2π
Here,
l = base length.
So, staging l = 20 m
, we get
r = 20/(2π)
≈ 3.18 m
Now that we have received the radius and height, we can evaluate the lateral surface area applying the formula mentioned above.
Staging
r = 3.18 m
h = 13 m,
we get:
Lateral surface area
= 2πrh
≈ 261.8 m²
Then, the lateral surface area of the given cylinder is approximately 261.8 square meters.
To learn more about surface area
https://brainly.com/question/951562
#SPJ1

Answer:

8-1

Step-by-step explanation:

theres 8 boxes they crossed off one of them, now theres 7

When triangle ABC is rotated 90 degrees counterclockwise about point P to create triangle DEF the correct orientation and location of triangle DEF is given in Option A where: D is pointing to the North, E to the south, and F to the West.

The circular movement of an item around a center is referred to as rotation. Different forms can be rotated by an angle around the center point.

Switch the values of the coordinates x and y for a 90-degree counterclockwise rotation, then multiply the previous y coordinate by -1. Apply the principles stated below to the computations for each rotation.

Counterclockwise

Learn more about Rotation:
https://brainly.com/question/1571997
#SPJ1

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

Learn more about Kristine from

https://brainly.com/question/27244350

#SPJ11

Answer:

G < -7

Step-by-step explanation:

We can create an equation first with what the problem provides:

4 - 5G > 39

Now, since the question asks for the solution, we can solve for G:

-5G > 39-4

-5G > 35

-G > 7

Since G is still a negative, we need to switch the inequality around:

(-1)(-G) > (7)(-1) (To cancel out the negative)

G < -7

Answer:

144km^3

Step-by-step explanation:

\(V = (6)(6)(4)\\= 144 km^3\)

Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

Answer:

Step-by-step explanation:

Note that the given height equation, which is a quadratic) has a graph that opens downward.  Borrowing the quadratic formula, we find the roots of this equation, that is, the t values at which h(t) = 0:

The coefficients of this equation are a = -16, b = 80 and c = 0.

We need to find the roots of this quadratic.  By the quadratic formula,

      -(80) ±√(80² - 4(-16)(0) )         -80 ± 0

t = ------------------------------------- = ----------------- = -5/2 and -5/2 (seconds).

                 2(-16)                               -32

The initial height is 0 at t = 0 seconds and the final height 0 at 5/2 seconds.

Answer:

170 in²

Step-by-step explanation:

This trapezoid is broken up into two shapes: a triangle and a parallelogram.

The formula for area of a triangle is b (base) × h(height) ÷ 2.

The base of the triangle is 4 and the height is 10.

b (base) × h(height) ÷ 2

10 × 14 ÷ 2 = 70

-------------------------------------------------------------------------------------------------------------

The formula for area of a parallelogram is b (base) × h(height).

The base of the parallelogram is 10 and the is 10 as well.

b (base) × h(height)

10 × 10 = 100.

-------------------------------------------------------------------------------------------------------------

Lastly, add both areas.

100 + 70 = 170

Therefore, the area of this figure is 170 in².

\(Hiya!\)

The answer is....

Hopefully, this helps you!!

\(Sokka\)

Answer:

I hope it helps you :)

Answer:

1. 6

2. There will be two middle numbers. 18 and 4. Add them

(18+4)=22

Now divide by 2

(22/2)

Ans. 11

3. There will be two middle numbers. 50 and 30. Add them

(50+30)=70

Now divide by 2

(70/2)

Ans. 35

4. 26

5. 76

6. There will be two middle numbers. 11 and 10. Add them

(11+10)=21

Now divide by 2

(21/2)

Ans. 10.5

7. There will be two middle numbers. 5 and 1. Add them

(5+1)=6

Now divide by 2

(6/2)

Ans. 3

8. There will be two middle numbers. 2 and 4. Add them

(2+4)=6

Now divide by 2

(6/2)

Ans. 3

║

((7, 15, 12, 9, 7))

Mean: =50/5 Ans. 10

Mode: = (7, 7, 9, 12, 15) Ans. 7

Median: Ans. 12

((10, 8, 4, 5, 8, 5, 7))

Mean: =47/7 Ans. 6.71

Mode: = (4 , 5 , 5 , 7 , 8 , 8 , 10) Ans. 5 and 8

Median: (5+8) =13/2 Ans. 6.5

((4 , 8 , 11, 11, 12, 12, 12, 12,)

Mean: 82/8 Ans. 10.25

Mode: Ans. 12

Median= (11+12)= 23/2 Ans. 11.5

((7, 5, 11, 7, 12, 8, 6, 9, 7))

Mean: 72/9 Ans. 8

Mode: (5, 6, 7, 7, 7, 8, 9, 11, 12) Ans. 7

Median: Ans. 12

5a= -1 a=

\(\frac{b}{-3} = -15 b=

-14+c = -12.5 c=

The discount given on the cost of the meal is $15

When a government imposes an obligational fee or financial charge on an individual or group in order to raise funds for public projects that support the best facilities and infrastructure, the action is referred to as a tax.

step1

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

step2

Required

The number of coupons given

coupon amount = 0.2 * 75

coupon amount = $15

Hence the discount given on the cost of the meal is $15

To learn more about discounts refers to;

brainly.com/question/26618117

#SPJ1

If the original price was $75 and Fatima used a 20% coupon, then Fatima saved $15.

    0.20 x 75 = 15

This means the cost of the meal that was taxed was a $60 meal.

Now we also know that after tax, the price of the meal came back to a $75 cost.  This means that the amount of tax was also $15, but it's a $15 tax on a $60 meal, so this is a 25% tax.

    $15 tax / $60 meal = 0.25 = 25%

The trick here is that in the beginning, the savings is based on the $75 meal, while the tax is based on a $60 meal, so the percentages are not the same.

Answer:

It's 25

Step-by-step explanation:

It's asking for distance between the two numbers

Answer:25

Step-by-step explanation:

option "The population is the number of people in the town of Westingbrook, and the sample is the number of people who go to the mall" is correct

Answer:

Step one is incorrect

Step-by-step explanation:

Answer:

 \(-x^{3} -9x^{2}\)

Step-by-step explanation:

I think.

Pls give Brainliest.

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

Learn more about probability here: brainly.com/question/13604758

#SPJ11

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is x and the total tickets porches by the adults is y.

As the total tickets sold for the game is $320. Thus,

\(\begin{aligned}\\ x+y&=320\\ y&=320-x\\ \end\)                    .......1

Now as the total money with ticket selling is $1100. Thus,

\(2.5x+4y=110\)

Keep the value of u from the equation 1 in the above equation. We get,

\(\begin{aligned} 2.5x+4(320-x)&=1100\\ 2.5x+1280-4x&=1100\\ -1.5x&=1100-1280\\ -1.5x&=-180\\ x&=\dfrac{180}{1.5} \\ x&=120\\ \end\)

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

\(y=320-x\\ y=320-120\\ y=200\)

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

https://brainly.com/question/787279

Answer:

#1 and # 3 maybe

Soooooooory if this wrong, This is the type of question I would get stuck on... O////O

If you doubled a penny every day, you would have $5,368,709.12

You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars

On day 30, if you doubled a penny every day, you would have $5,368,709.12.

Know more about compound interest at:

https://brainly.com/question/28020457

#SPJ4