landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school to pass out to his classmates. what is the maximum number of packages he can make so that there are no candies left over?

[tex]15,\ 1,\ 4,\ 4,\ 8,\ 7,\ 15,\ 4,\ 15,\ 4,\ 5\to\underbrace{1,\ 4,\ 4,\ 4,\ 4,\ 5,\ 7,\ 8,\ 15,\ 15,\ 15}_{11}\\\\mean=\dfrac{1+4+4+4+4+5+7+8+15+15+15}{11}=\dfrac{82}{11}\approx7.5\\\\median:1,\ 4,\ 4,\ 4,\ 4,\ \boxed{5},\ 7,\ 8,\ 15,\ 15,\ 15\\\\mode:1,\ \underbrace{4,\ 4,\ 4,\ 4}_{4},\ 5,\ 7,\ 8,\ 15,\ 15,\ 15[/tex]

Answer:

Mean = 7.5, median = 5, mode = 4

Step-by-step explanation:

Answer:

The answer is 2 times x.

Step-by-step explanation:

X is the number of students. If each of the student received 2 pencils then you multiply 2 by the number of students.

Answer:

Original price of the ticket was $57.

Step-by-step explanation:

Four friends buy tickets for two shows.

Let the price of a ticket was $c

Then cost of 4 tickets = $4c

They use a coupon to get the discount = $5 on each ticket

So total discount on 4 tickets = 4×5 = $20

Cost of the tickets after discount = 4c - 20

Cost of the tickets for two consecutive nights = 2(4c - 20)

If they paid total amount = $416 for 8 tickets

Then the equation will be 2(4c - 20) = 416

Now we can solve this equation to get the original price of the ticket.

2(4c - 20) = 416

4c - 20 = 208

4c = 208 + 20

4c = 228

c = [tex]\frac{228}{4}[/tex]

c = $57

Therefore, original price of a ticket was $57.

Answer:

57

Step-by-step explanation:

I did this earlier.

[tex]x^2-10x+8=0\\\\x^2-10x+25-17=0\\\\(x-5)^2=17\\\\x-5=\sqrt{17} \vee x-5=-\sqrt{17}\\\\x=5+\sqrt{17} \vee x=5-\sqrt{17}[/tex]

Answer:

(x – 5)2 = 17

Step-by-step explanation:

edg

s^5*t or s^5+t since there is no number we can pretend there is a 1 behind the s.

The 2 angles on the left need to equal 180:

3y +5 + 85 = 180

Combine like terms:

3y+90 = 180

Subtract 90 from each side:

3y = 90

Divide both sides by 3:

y = 90 /3

y = 30

Now solve the equation with y:

3(30) +5 = 90+5 = 95

Now the two equations also need to equal 180:

95  + 2x +1 = 180

Combine like terms:

2x + 96 = 180

Subtract 96 from each side:

2x = 84

Divide both sides by 2:

x = 84 /2

x = 42

X = 42, y = 30

The answer is the 3rd choice.

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-------> the set of numbers that represent the solution of the situation

we know that

The expression " At least [tex]-6[/tex] " represent the inequality

[tex]x\geq -6[/tex] -----> all real numbers greater than or equal to  [tex]-6[/tex]

The expression " At most [tex]3[/tex] " represent the inequality

[tex]x\leq 3[/tex] -----> all real numbers less than or equal to  [tex]3[/tex]

The solution of the situation is equal to the interval-------> [tex][-6,3][/tex]

see the attached figure

Answer:

The probability of taking $ 2.5 is 12.2%

Step-by-step explanation:

To make $ 2.5 with only 3 coins, you have to take out 2 $ 1 coins and a $ 0.5 coin in one of the following 3 ways:

(1) (1) (0.5) = (2.5) (i)

(1) (0.5) (1) = (2.5) (ii)

(0.5) (1) (1) = 2.5 (iii)

There are 3 coins (1)

There are 9 coins (0.5)

Therefore, the probability of drawing a coin from (1) on the first attempt is 3/12

The probability of drawing a coin of (0.5) on the first attempt is 9/12.

Then, the probability of drawing $ 2.5 from the form (i) is:

[tex]P_{(i)}= \frac{3}{12}*\frac{2}{11}*\frac{9}{10} = 0.0409 = P_{(ii)} = P_{(iii)}[/tex]

Finally:

P ($ 2.5) = P (i) U P (ii) U P (iii)

P ($ 2.5) = P (i) + P (ii) + P (iii)

P ($ 2.5) = 3P (i)

P ($ 2.5) = 3 * 0.0409

P ($ 2.5) = 12,227

The probability of taking $ 2.5 is 12.2%

Answer:

840 visitors

Step-by-step explanation:

ANSWER

The correct answer is option B

EXPLANATION

When we analyse carefully we can see that PQR is mapped on to P'Q'R' by the rule

[tex](x,y)\rightarrow (-x,y)[/tex]

[tex]P(1,4)\rightarrow P'(-1,4)[/tex]

[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]

[tex]R(-2,1)\rightarrow R'(2,2)[/tex]

That is to say the x-coordinates are negated. Hence y-axis is the mirror line.

Since reflection is a rigid motion, the two triangles are congruent. That means the two triangles PQR and P'Q'R' are equal in all respect.

See graph in attachment.

Answer:

b

Step-by-step explanation:

Answer:

It would be 2%

Step-by-step explanation:

Hope this helps! :D

The simple annual interest rate for this loan will be 2%.

Simple interest is extra money paid by the person borrowing the money. The formula for the simple interest is;

[tex]\rm SI = \frac{P \times R \times T}{100}[/tex]

Given data;

P(Principal) =$1500

R(Rate)=?

T)TIme)=5year

SI(Simple interest)=$ 150

The simple interest is calculated as ;

[tex]\rm SI = \frac{P \times R \times T}{100} \\\\ 150 = \frac{1500 \times R \times 5 }{100} \\\\ R=2 \%[/tex]

Hence, the simple annual interest rate for this loan will be 2%.

To learn more about simple interests, refer to;

https://brainly.com/question/14031892

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Answer: about 16 people would get to 100 and 30,000 would make it to 99

Step-by-step explanation:

the avarage life span is up to 70 years. About 1 in 6,000 reach 100.

Answer:

795 people out of every 100,000 will die between ages 99 and 100.

Step-by-step explanation:

edmentum/plato

Solution :

Given a right triangle with hypotenuse 85 and legs 84 and y.

Use Pythagoras theorem, to find the length of the leg y of the right triangle.

According to Pythagoras theorem,

[tex](hypotenuse)^{2} = leg_{1}^{2}+leg_{2}^{2}[/tex]

As given in the question,

[tex]hypotenuse = 85 \\\\leg_{1} = 84\\\\leg_{2} = y[/tex]

Put these values,

[tex]\Rightarrow 85^{2}=84^{2} +y^{2} \\\\\Rightarrow y^{2}=85^{2}-84^{2}\\\\\Rightarrow y =\sqrt{85^{2}-84^{2}} \\\\\Rightarrow y =\sqrt{169}\\\\\Rightarrow y =13[/tex]

Hence, the length of leg y =13.

Answer:

The length of leg y=13

Step-by-step explanation:

The sum would be

4x^2-x+1

add like terms.

3x^2+x^2

4x^2

4x+-5x

-x

3-2

1

4x² - x + 1

summing gives :

3x² + 4x - 2 + x² - 5x + 3 ( collect like terms )

(3x² + x² ) + (4x - 5x ) + ( - 2 + 3 )

= 4x² - x + 1

So the corcumference is equal to the diameter tiems pi.

Youre given the diameter, so just multiply it by pi.

The answer is 43pi.

The circumference of a circle with a diameter of 43 cm can be calculated using the formula C = πd. Substituting 43 for d, the exact circumference in terms of pi is 43π cm.

The circumference of a circle is determined by the formula C = πd, where C is the circumference, d is the diameter of the circle, and π (Pi) is a mathematical constant whose approximate value is 3.14. If we plug the given diameter of 43 cm into the formula, we get C = π * 43. Thus, the exact circumference in terms of pi is 43π cm.

https://brainly.com/question/31844715

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Let s = Car B's speed

Car B is 15 mph faster than A, therefore

(s - 15) = Car A's speed

Write a distance equation; dist = speed * time

2(s-15) = 1.5s

2s - 30 = 1.5s

2s - 1.5s = 30

.5s = 30

s = 60 mph is car B's speed

Confirm this find the distances, they should be equal

2 (60-15) = 90

1.5 (60) = 90  

Answer:

larger number is 20

Step-by-step explanation:

Let the larger number be x

And smaller number be y.

Then,

x + y = 15   {Sum of two numbers is 15}

And

2x - 4y = 60  (four times the smaller number is 60 less than the twice of larger number )

So we get two equations as :

x + y = 15

2x - 4y = 60

On solving above two equations we get:

Plug x = 15 - y in second equation

we get, 2 (15 - y) - 4y = 60

or    30 - 2y - 4y = 60

or      - 6y = 60 - 30

or     y = -30/6  = -5

So we get y = -5 and x = 15 - (-5) = 20

Hence the larger number is 20

The answer would be 6. The number line which shows you the number 6 or any solution for 6 would be your answer.

Answer:

See two different cases, below:

Step-by-step explanation:

You cannot "solve" w-w*2+-2w*2, because this is not an equation.  Rather, you want to simplify w-w*2+-2w*2 by combining like terms.  You have w  -  2w   -  4w, or -5 w.

If, however, you meant "exponentiation" by " * "  then you have   w^1 - w^2 - 2w^2, which in turn equals w - 3w^2, or, in descending order by powers of w, -3w^2 + W.

Answer: Consider a quadrilateral ABCD such that AC ans BD are the two diagonals of ABCD.

With reference to figure 1 .

In triangle ABC and triangle ADC  ,by using triangle inequality we have

AB +BC > AC .......(1)

and AD + CD >AC......(2)

adding (1) and (2) we have

AB+ BC+CD+AD>2AC....(3)

Similarly we get for diagonal BD

AB+BC+CD+AD>2BD....(4)

Adding (3) and (4) we get

2(AB+BC+CD+AD)> 2(AC+BD)

⇒(AB+BC+CD+AD)> AC+BD where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence, the sum of the length of the diagonals of a quadrilateral is less than the perimeter.

Now 2 diagonal divides quadrilateral into 4 quadrilaterals  

Therefore AO+OD>AD

OD+OC>CD

OC+OB>BC

And OA+OB>AB

Adding all these conclude that

2(AC+BD)>AB+BC+CD+AD

⇒AC+BD>1/2(AB+BC+CD+AD)  where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence,the sum of the length of the diagonals is greater than the half of the perimeter of this quadrilateral.

Now consider a triangle ABC  as given in figure (2)

As we now,the sum of two sides of a triangle is greater than twice the median bisecting the third side.

Therefore AB+BC>2BE

Similarly,

AB+AC>2AD

BC+AC>2CF

By adding all these we get ,

2(AB+BC+CA)>2(AD+CF)

⇒AB+BC+CA>AD+CF

Hence, the sum of the lengths of the three medians in a triangle is smaller than the perimeter of the triangle.

Answer: Ratio of number of Meili's stickers to Suhua becomes 19:21.

Step-by-step explanation:

Let the number of Meili's stickers be 3x

Let the number of Suhua's stickers be 7x

According to question ,

[tex]7x-3x=32\\4x=32\\\\x=\frac{32}{4}\\\\x=8[/tex]

[tex]\text{So, the number of Meili's stickers} = 3\times 8=24\\\\\text{ the number of Suhua's stickers }=7\times 8=56[/tex]

[tex]\text{Now, we have given that Suhua give } \frac{1}{4} \text{ of her stickers to Meili}\\\\= \frac{1}{4}\times 56\\=14[/tex]

So, now,

[tex]\text{Number of stickers Meili has }= 24+14=38\\\\\text{Number of stickers Suhua has }=56-14=42[/tex]

Ratio becomes ,

[tex]38:42\\=19:21[/tex]

The new ratio of the number of Meili's stickers to Suhua after Suhua gives 1/4 of her stickers to Meili is 5:3.

Explanation:

Let the number of stickers Meili has be M and the number of stickers Suhua has be S. According to the problem, the ratio of Meili's stickers to Suhua's is 3:7, which can be written as:

[tex]\[ \frac{M}{S} = \frac{3}{7} \][/tex]

 It is also given that Suhua has 32 more stickers than Meili. This can be represented as:

[tex]\[ S = M + 32 \][/tex]

Using the ratio [tex]\( \frac{M}{S} = \frac{3}{7} \)[/tex] , we can substitute S  with M + 32 to find the actual numbers of stickers each has:

[tex]\[ \frac{M}{M + 32} = \frac{3}{7} \] \[ 7M = 3(M + 32) \] \[ 7M = 3M + 96 \] \[ 4M = 96 \] \[ M = \frac{96}{4} \] \[ M = 24 \][/tex]

Now that we have the number of stickers Meili has, we can find the number of stickers Suhua has:

[tex]\[ S = M + 32 \] \[ S = 24 + 32 \] \[ S = 56 \][/tex]

Next, Suhua gives 1/4 of her stickers to Meili. The number of stickers Suhua gives away is:

[tex]\[ \frac{1}{4} \times 56 = 14 \][/tex]

After giving away 14 stickers, Suhua will have:

[tex]\[ S' = 56 - 14 \] \[ S' = 42 \][/tex]

Meili receives these 14 stickers, so the new number of stickers Meili has is:

[tex]\[ M' = 24 + 14 \] \[ M' = 38 \][/tex]

Now, the new ratio of Meili's stickers to Suhua's is:

[tex]\[ \frac{M'}{S'} = \frac{38}{42} \][/tex]

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 2:

[tex]\[ \frac{38}{42} = \frac{38 \div 2}{42 \div 2} \] \[ \frac{38}{42} = \frac{19}{21} \][/tex]

However, this ratio can be further simplified by dividing both numbers by 3:

[tex]\[ \frac{19}{21} = \frac{19 \div 3}{21 \div 3} \] \[ \frac{19}{21} = \frac{6.33}{7} \][/tex]

Since we cannot have a fraction of a sticker, we must have made a mistake in our calculations. Let's re-evaluate the new ratio after correcting the mistake:

[tex]\[ \frac{M'}{S'} = \frac{38}{42} \][/tex]

Both 38 and 42 are divisible by 2:

[tex]\[ \frac{38}{42} = \frac{38 \div 2}{42 \div 2} \] \[ \frac{38}{42} = \frac{19}{21} \][/tex]

 Now, we can simplify this ratio by dividing both numbers by 7:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{2.71}{3} \][/tex]

Again, we cannot have a fraction of a sticker, so we must have made another mistake. Let's correct it:

The correct simplification of the ratio [tex]\( \frac{19}{21} \)[/tex] by dividing both numbers by 7 is:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{2.71}{3} \][/tex]

This is incorrect because 19 is not divisible by 7. The correct division is:

[tex]\[ \frac{19}{21} = \frac{19 \div 7}{21 \div 7} \] \[ \frac{19}{21} = \frac{5}{3} \][/tex]

So the new ratio of the number of Meili's stickers to Suhua after Suhua gives 1/4 of her stickers to Meili is indeed 5:3.

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = [tex]2\pi rL[/tex]

Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]

Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]

Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]

                                          =[tex]896.784[/tex]

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

[tex](AC)^2+(CB)^2=(AB)^2[/tex]

The distance from A to C = 6

The distance from C to B = 5

[tex](AC)^2=6^2=36[/tex]

[tex](CB)^2=5^2=25[/tex]

[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]

Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]

Therefor Answer is D) Sqr 61

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]

Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]

Therefore Revenue from Store 1 = $8250

                 Revenue from Store 2 = $4400

Answer is A) Store 1  has more sales revenue

Answer for Question 4

[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.

Then it has to be [tex]\frac{115}{264} =0.4356[/tex]

Answer is B)

Answer for question 6

The equation of a straight line is of the form [tex]y=mx+c[/tex]

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]

Therefor the equation of the graph is,

[tex]y=2x+1[/tex]

Answer is C

Answer for question 7

[tex]\frac{7}{8} =0.875[/tex]

[tex]\frac{6}{9} =0.67[/tex]

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.

Therefor answer is C

Hello, I can help.

The value of N- 7

Here is how i got the answer.

1: Multiply both sides by 2

2: Simplify 64*2 to 128

3: convert both sides; 2^n =2^7

4:divide 2 on both sides; n=7

Hope this helps.

Answer:

-8

Step-by-step explanation:

5 times -3 is -15

absolute value of -12 plus 4 is 8

-15 plus 8 plus -1 is -8