Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients to make 20 glasses of lemonade. How much should he charge for one glass of lemonade to cover his expenses and make $10 in profit?

Round to the nearest cent.

Timed test

Answer:

A.

Step-by-step explanation:

Answer:

9.56 ft/sec

Step-by-step explanation:

We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.

I've attached an image showing  triangle that depicts this;

Thus; dx/dt = 3.4 ft/sec

From the attached image and using principle of similar triangles, we can say that;

9/y = 5.8/(y - x)

9(y - x) = 5.8y

9y - 9x = 5.8y

9y - 5.8y = 9x

3.2y = 9x

y = 9x/3.2

dy/dx = 9/3.2

Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;

dy/dt = dy/dx × dx/dt

dy/dt = (9/3.2) × 3.4

dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec

Answer:

Step-by-step explanation:

In population genetics, the Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, ... Males, A (p), AA (p2), Aa (pq) ... The sum of the entries is p2 + 2pq + q2 = 1, as the genotype frequencies must sum to ... Suppose that Aa is a pair of Mendelian characters, A being dominant, and

Answer:

15=15

Step-by-step explanation:

2x + 3 = 15     x = 6

(2) (6) + 3 = 15

15 = 15

TRUE!

Answer:

16

Step-by-step explanation:

Answer:

y = -9/7x + 2 is the slope intercept form.

Step-by-step explanation:

There are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.

To find the number of ways to divide 40 students into 8 discussion groups of 5 students each, we'll use a combination formula.

The number of ways to choose 5 students out of 40 for the first group is given by C(40, 5).

After choosing 5 students for the first group, there will be 35 students left for the second group.

The number of ways to choose 5 students out of these 35 for the second group is C(35, 5).

We continue this process until all 8 groups are formed.

The total number of ways to divide the students into groups is the product of the combinations for each group. So, the total number of ways is:

Total ways [tex]=^{40}C_5 \times ^{35}C_5 \times^{30}C_5 \times ^{25}C_5 \times ^{20}C_5 \times ^{15}C_5 \times ^{10}C_5 \times ^{5}C_5[/tex]

Total ways = 65800850944000

Hence, there are 65,800,850,944,000 ways to divide the 40 students into 8 discussion groups, each consisting of 5 students.

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option B. 7x+11 is the correct answer

Answer:

ur answer is c) -7x+12

Step-by-step explanation:

2x+3+x-1+3x+5+x+4=perimeter

2x+x+3x+x+3-1+5+4=perimeter

7x+11=perimeter

did u got what i had done message on this ans

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.

Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]

Like terms need to be combined to write the polynomial in standard form

Here, like terms are [tex]3x^3,2x^3[/tex]

Option A. is correct.

Answer -3/8, -2/3 1/2

Step-by-step explanation:

Thats least to greatest

Answer:

3/8, 2/3, 1/2

Step-by-step explanation:

Answer:

Unit that can be used for surface area is cubic inches.

Step-by-step explanation:

Surface area is the sum of the areas of all faces of a three-dimensional shape.

That is in case of surface area, we talk about three dimensions.

So, unit that can be used for surface area is cubic inches.

square meters, square inches and square feet are used for two dimensional shapes.

feet, centimeters are used for one dimensional shapes.

Answer:

From the information given, you can write the following system of equations:

x+y+z=16 (1)

5x+4.5y+5.5z=82 (2)

z=x+y (3)

You can replace (3) in (1) and (2):

x+y+x+y=16

2x+2y=16 (4)

5x+4.5y+5.5(x+y)=82

5x+4.5y+5.5x+5.5y=82

10.5x+10y=82 (5)

Now, you have the following equations:

2x+2y=16 (4)

10.5x+10y=82 (5)

You can isolate x in (4):

2x=16-2y

x=8-y (6)

Then, you have to replace (6) in (5):

10.5(8-y)+10y=82

84-10.5y+10y=82

84-82=10.5y-10y

2=0.5y

y=2/0.5

y=4

Now, you can replace the value of y in (6) to find x:

x=8-4

x=4

Finally, you can replace the vaue of x and y in (3) to find z:

z=4+4

z=8

According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.

Answer:

(7, 10) or (-7, -10)

Step-by-step explanation:

If you need an explanation with this lmk but it's most likely answer choice.

Answer:

3/4^ 8/3= 24/12= 2 so d.2bags

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Answer:

$420

Step-by-step explanation:

Cost to the furniture store: $300

Markup: 40%

40% * $300 = $120

The markup is $120

Selling price = cost + markup = $300 + $120 = $420

Answer: $420

Answer:

i believe it is "3x+2"

Explanation:

first you distribute the 3 to the expression in the parenthesis and you get "3x-6" and add the +4 to the end of that expression and you get "3x-6+4" add "-6+4" and you get "-2" and then you get "3x--2"since a subtraction sign and a negative sign make it be addition you get the expression "3x+2"

Answer:

PEMDAS

Step-by-step explanation:

Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.

For Example:

P-Paraenthese

E-Exponent

M-Multiply

D-Divide

A-Add

S-Subtract

NOTE!

Remember to always Multiply and divide BEFORE adding and subtracting.

Hoped this helped!

The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For example 8x + 7y = 15.

Given the equation,

√x - 3 + 1 = 6

√x + (-3 + 1) = 6

√x - 2 = 6

√x = 6 + 2 = 8

By squaring

x = 8² = 64.

Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".

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Answer:the correct answer is C.28

Step-by-step explanation:

Answer:

4/5 of an hour is 48 minutes so 48 minutes divided by 2 is 28 minutes

Step-by-step explanation:

Answer:

24 minutes.

Step-by-step explanation

4/5 = ?/60

4/5 = 48/60

half of 48 = 24

Answer:

The correct answer is c.

Step-by-step explanation:

Hope I helped.

The answer is B, I just answered this question on my quiz.

Answer: 3.3

x.   = 1.5

220      100

Answer:

9

Step-by-step explanation:

1.)Find the amount of women within the 120 people in the meeting. So 3/10*120 , you get 36.

2.)Add 24 to 120 to get the new amount of people in the room. So 144.

3.)Using the new ratio 11:5 , find the amount of total women out of 144 people . So 5/16*144 , you get 45.

4.)Now minus the 2 amounts of initial women from the amount of total new women , to get the difference to find out how many women are there in the 24 people. So 45-36 , you get 9

Answer: The first term of the arithmetic  sequence= 41,346.

Step-by-step explanation:

The first term in the Arithmetic sequence (generally denoted by 'a') is  the beginning term of the sequence.

It helps to find the other terms([tex]a_n[/tex]) as it gives the initial point to start the sequence.

In the given sequence, the sequence starts from the number 41,346.

That means, the first term of the arithmetic  sequence= 41,346.

ANSWERS TO THE WHOLE QUIZ:

1. 13.23

2. 1/2

3. 0.25

4. 31.16

5. 76.50

Your Welcome and have a great day!

( I had to fail the quiz to give the answers)

Answer:

Donald

Step-by-step explanation:

Given that :

BRUCE :

score (x) = 500

League average (m) = 620

Standard deviation (σ) = 20

DONALD:

score (x) = 520

League average (m) = 625

Standard deviation (σ) = 25

Take standardized score of both Bruce and Donald

BRUCE:

Zscore = (x - m) / σ

Zscore = (500 - 620) / 20

Zscore = - 120 / 20

Zscore = - 6

DONALD:

Zscore = (x - m) / σ

Zscore = (520 - 625) / 25

Zscore = - 105 / 25

Zscore = - 4.2

Bruce's standardized score is lesser Than Donald's. Hence,

Donald has a higher three-game series score ;