Tania took selfies with her 8 cousins. Each cousin is in exactly 2 or 3 pictures. There are 5 cousins in each picture. How many selfies did Tania take?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

Answer 2

Final answer:

Tania took 4 selfies with her cousins. Each cousin appeared in exactly 2 selfies, with some appearing a third time to account for 16 total cousin appearances divided by 5 cousins per selfie.

Explanation:

The problem presented is a combinatorial puzzle involving selfies and cousins. Since each cousin is in either 2 or 3 pictures, we can try to minimize the number of pictures by assuming each cousin is in exactly 2 pictures first. If there are 8 cousins and 5 cousins per picture, then by multiplying 8 by 2 (every cousin appears exactly 2 times), we get 16 cousin appearances in total.

Since each selfie has 5 cousins, we divide the total cousin appearances by the number of cousins per picture: 16 / 5, which results in 3.2. However, since it's not possible to have a fraction of a picture, we need at least 4 selfies to cover all appearances. Yet, this leaves us 4 extra appearances (because 4 pictures would mean 20 cousin appearances in total).

These 4 extra appearances account for the fact that some cousins appear 3 times instead of just 2. Therefore, Tania must have taken 4 selfies with her cousins to cover the 16 cousin appearances with some cousins appearing an additional third time.


Related Questions

25 POINTS


I need help in calculating the total cost of packaging for both shapes, the image below:

Answers

Multiply your surface area by your cost/ square in. for your current cereal box to find the total cost of packaging. Then do the same with the new measurements for the new container.

Answer:

1. $21.60     2. 64.80

Step-by-step explanation:

I hope this helps :)

16. Andrew borrowed $695 for a new TV. He will make
10 monthly payments of $75 to repay the loan.
How much will he pay in interest?
$75
$695
$750
$5.50
$55​

Answers

The answer is $55

You multiply 10 by 75 which gives you $750 and subtract the borrowed money by $750 to get $55

Final answer:

Andrew will pay a total of $55 in interest on the $695 loan when he makes 10 monthly payments of $75 each.

Explanation:

The student is asking how much interest Andrew will pay on a $695 loan if he makes 10 monthly payments of $75 each. To find the total interest paid, we need to calculate the total amount Andrew will pay back and then subtract the original loan amount from it.

Total amount paid by Andrew = 10 monthly payments times $75/payment = $750

Original loan amount = $695

Interest paid = Total amount paid - Original loan amount = $750 - $695 = $55

Therefore, Andrew will pay $55 in interest to repay the loan for the new TV.

Consider the diagram below.
What is the measure of arc PD?
A. 35°
B. 90°
C. 110°
D. 180°

Answers

Answer:

(C) [tex]110^{\circ}[/tex].

Step-by-step explanation:

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

[tex]{\angle}FED=90^{\circ}[/tex].

Now, it is given from the figure that [tex]{\angle}FEP=35^{\circ}[/tex], therefore

[tex]{\angle}FED={\angle}FEP+{\angle}DEP[/tex]

[tex]90^{\circ}=35^{\circ}+{\angle}DEP[/tex]

[tex]{\angle}DEP=55^{\circ}[/tex]

Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore

[tex]{\angle}PCD=2{\angle}PED[/tex]

[tex]{\angle}PCD=2(55^{\circ})[/tex]

[tex]{\angle}PCD=110^{\circ}[/tex]

Thus, the measure of arc PD is [tex]110^{\circ}[/tex].

Hence, option (C) is correct.

The measure of arc PD is 110. So, The correct option is option C.

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

90° = 135° + ∠DEP

∠DEP = 50°

Now, here is given,

∠FEP = 35°

∠FED = ∠FEP + ∠DEP....(1)

Plug the value of ∠FEP = 35° in equation (1),

∠FED = 90

90 = 35 + ∠DEP

∠DEP = 55

∠PCD = 2∠PED

∠PCD = 2 (55)

∠PCD = 110

Therefore, the measure of arc angle PCD is 110.

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In a fish tank 75% of the fish are goldfish. How many fish are in the tank if there are 24 goldfish pls answer!!!!!!

Answers

I believe it’s 8 because 24 divided 75% is 32.

To find the total number of fish in a tank where 75% are goldfish and there are 24 goldfish, solve the equation 0.75 × Total Number of Fish = 24, resulting in 32 fish in total.

The question asks about calculating the total number of fish in a tank knowing that 75% of them are goldfish, and there are 24 goldfish. To find the total number of fish in the tank, we set up a proportion based on the given information that 75% (or 0.75 when converted to a decimal) of the total number of fish equals 24 goldfish.

Mathematical equation: 0.75 × Total Number of Fish = 24.

To solve for the Total Number of Fish, we divide both sides of the equation by 0.75:

Total Number of Fish = 24 ÷ 0.75

Total Number of Fish = 32

Therefore, there are 32 fish in the tank in total.

What is the answer to this equation? - (-5a^3)(2ab^3)

Answers

The answer is 10a^4b^3

need answer... PLZ PLZ

Answers

Answer:

Option A is correct.

Step-by-step explanation:

The credit limit is $6000

New balance after the transactions = $ 3604.50

Available credit on Nikki's card = credit limit - New balance after the transactions

Available credit on Nikki's card = $6000 - $ 3604.50

Available credit on Nikki's card = $ 2395.50

So, Option A is correct.

                                                 

Michael starts with $45 in his savings account and adds $5 to the account each week .write an expression for the number of dollars in Michael's savings account after a week's (w is the variable). Assume no money is added or removed from the account.pls need help asap

Answers

Expression: 45+(5 x w)

Hope this helps man.

The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

Where, y is total amount and w is number of weeks.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Michael starts with $45 in his savings account and adds $5 to the account each week .

Now,

Since, Michael starts with $45 in his savings account and adds $5 to the account each week .

Hence, After w weeks the total amount (y) is,

⇒ y = $45 + $5w

Thus, The expression for the number of dollars in Michael's savings account after w week's will be;

⇒ y = $5w + $45

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Using the Quadratic Formula, which of the following is the solution to the quadratic equation x2 + 2x - 3 = 0?

x = -1, -3

x = 1, -3

x = -1, 3

x = 1, 3

Answers

Answer:

x=1, -3

Step-by-step explanation:

Bao yu is completing the square to solve the polynomial epuation

X^2-x-3=0.
What should her first step be ?

Answers

Answer:

The first step would be to add 3 on both sides of the equation.

Step-by-step explanation:

Given a polynomial or a quadratic equation, the first step in completing the square is to take the constant term to the other side of the equation. In the polynomial given the constant term is -3 which implies that we can add 3 on both sides of the equation in order to eliminate this constant term from the left hand side;

x^2 -x -3 +3 = 0 + 3

x^2 - x = 3

Answer:

The first step of Bao yu is to isolate the constant

Step-by-step explanation:

For using completing the square to solve the polynomial equation, the equation should be of the type [tex]a^2 \pm 2ab +b^2[/tex] that can also be written as:[tex](a\pm b)^2[/tex]

so, for the given equation: [tex]x^2 -x -3 =0[/tex]

The first step should be to isolate the constant:

[tex]x^2 -x = 3[/tex]

Then we have to make the middle term according to 2ab where a = 1x and b= (1/2) i.e, -2(1x)(1/2) = 1x

so,by adding (1/2)^2 on both sides of equation, we can complete the formula:

[tex]x^2 -x = 3[/tex]

[tex]x^2 -2(x)(\frac{1}{2}) + (\frac{1}{2})^2 = 3 (\frac{1}{2})^2[/tex]

Solving we get,

[tex](x- (\frac{1}{2}))^2 = 13/4[/tex]

So, the first step is to isolate the constant.

Find the output, y, when the input, x, is -1.

Y = ?

Answers

When the input is -1, the output is 3

The answer is 3

In the given graph, the value of y at x = - 1 is 7.

This means that when the input x is - 1, the corresponding output y is 7. The graph visually represents the relationship between x and y, where each point on the graph corresponds to a specific x - y pair. When x takes the value - 1, the graph intersects the y-axis at the point (- 1, 7), indicating that the output y is 7.

In summary, for x = - 1, the associated output value y is 7, as shown by the graph's plotted point.

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What is the completely factored form of the expression 16X2 +18X+32

Answers

ANSWER

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

EXPLANATION

The given expression is

[tex]16 {x}^{2} + 18x + 32[/tex]

The greatest common factor is 2.

We factor 2 to obtain:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

The expression in the parenthesis is prime.

This means that the quadratic expression in the parenthesis cannot be factored.

Hence the completely factored form is:

[tex]2(8 {x}^{2} + 9x + 16)[/tex]

Answer:

2(8 {x}^{2}  + 9x + 16)

Step-by-step explanation:

2 is the gcf so you factor it outnow it is unfactorable

Can someone please help me!? I have to turn this in today !

1. “How many possible “green power” options did you find in your research?”

2. What were the options you found?

3. Which is any do you feel are viable energy sources for the future why?

4. Which if any do you feel are NOT! viable energy sources for the future why?

Answers

Answer:

Step-by-step explanation:

1. 15 green power options

2. sun

wind

water

earth

tide

waves

oceans

renewable energy

biofuel

uranium

coal

natural gas

oil

tires

biomass

3. most are all viable energy sources for the future because you need them all for example like the sun if we do not have sun then we all will die

4. Oil is not a viable energy source because think of how many gallons are dumped in the ocean and how many animals and fish it kills

geometric sequence
-48, 96, -192, 384, …

Answers

What about it? From least to greatest?

-192, -48, 96, 384

Pattern is its always multiplied by -2


an arrangement of flowers originally priced at $46 is marked down to $35 what is the percent of decrease rounded to the nearest whole number

Answers

The answer is 24% I hope this helps : )

For this case we must make a rule of three:

$ 46 -----------------> 100%

$ 35 -----------------> x

Where "x" represents the percentage of the discounted cost.

[tex]x = \frac {35 * 100} {46}\\x = 76[/tex]%

We subtract to know how much was the discount percentage:

100% -76% = 24%

Thus, the discount percentage was 24%

ANswer:

24%

The mean for the set of numbers 12 10 7 8 m is 25 what is the value of m

Answers

Answer:

m = 88

Step-by-step explanation:

The mean of a set of data is calculated using the formula

mean = [tex]\frac{sumofdata}{count}[/tex]

hence

[tex]\frac{12+10+7+8+m}{5}[/tex] = 25 ( multiply both sides by 5 )

37 + m = 125 ( subtract 37 from both sides )

m = 88

Jenna bought 6 pounds of apples for $7.38. What is the unit price per pound of apples?

Answers

Answer:

$ 1.23

Step-by-step explanation:

We are given that Jenna bought 6 pounds of apples for $7.38 and we are to find the unit price per pound of apples.

To find that out, we will simply divide the total price of apples by the number of pounds she bought.

Unit price per pound of apples = [tex] \frac { 7 . 3 8 } { 6 } [/tex] = $1.23

PLEASE HELP ME FAST!

Answers

Answer:

50% chance

Step-by-step explanation:

There is a 50% chance because there in a 3/6 chance he will pick a number above 2

How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

Answers

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]

[tex]sinB=\frac{34}{42}\times sin(117)[/tex]

sinB=0.7212

[tex]B=46.161 ^{\circ}[/tex]

and A+B+C=180

[tex]C=16.839^{\circ}[/tex]

Thus 2 triangles can be formed with given value

Answer:

one solution

Step-by-step explanation:

darr has written 60% or 12 pages of his history report their wants to figure out how many pages he needs to write their work is shown below​

Answers

The answer is 20 pages.

Hope this helps!

For this case we must make a rule of three to determine the number of pages to finish your work.

12 --------------> 60%

x ----------------> 40%

Where "x" represents the number of pages needed to complete the job:

[tex]x = \frac {40 * 12} {60}\\x = 8[/tex]

So, there are 8 pages left to finish their work. The total number of pages of the work is 20.

Answer:

You need to finish 8 pages out of a total of 20

Which of the following statements are true?
1. The difference between -1.4 and -8.3 is positive.
2. -1.4 + 8 3 has the same value as the difference between -1.4 and -8.3.
3. The between -8.3 and -1.4 has the same value as the difference between -1.4 and -8.3.

A. 1 only
B. 1 and 2
C. All the statements are true.
D. None of the systems are true. ​

Answers

I would say C but number 2 isn’t making sense but 1 and 3 are true

Answer:B

Step-by-step explanation:

an officer administrator earns 16$ an hour ,and she works 32 hours a week . what is her weekly wage

Answers

Answer: She makes $1632 a week.

Step-by-step explanation:

You multiply 16 times 32 and get your answer.

One cube is 3 yards by 4 yards by 2 yards. Another cube is 3 feet by 4 feet by 2 feet. What is the ratio of the volume of the first cube to the volume of the second?
(there are 3 feet in a yard)

Answers

Answer:

9ft*12ft*6ft=648

3*4*2=24

648:24

Complete the following subtraction problems.
a. 9.5 – 3.2
b. 6.213 – 1.8219
c. 38.9 – 9.2
d. 3.76 – 2.9
e. $ 6.50 – 1.88
f. $ 6.52 – 2.37
g. $ 4.47 – 1.18
h. $ 156.25 – 83.73

Answers

Answer:

A . 6.3

B . 4.4002

C . 29.7

D . 0.86

E. 4.62

F. 4.15

G. 3.29

H. 72.5

A=6.3

B=4.3911

C=29.7

D=0.86

E=4.62

F=4.15

G=3.29

H=72.52


What is the explicit rule for the sequence?
12,6, 0, -6, ...
an = 18 - 6n
an = 18 – 12n
an= 18 + 6n
an = 6 - 6n

help please!​

Answers

The answer is the first one. an=18-6n

because

18-6 (1) = 12

18-6 (2)=6

18-6 (3)=0

18-6 (4)= -6

and so on

hope this helps

PLEASE HELP!!! GEOMETRY AND IDK WHAT IM DOING NEED TO PASS

In the diagram, and . What additional information is necessary to prove that ΔABC is similar to ΔFGH, using the SSS similarity theorem?




Answers

Answer:

revolvelution

Step-by-step explanation:

Answer with explanation:

To prove two triangles are similar using SSS Similarity Criterion we need to prove that sides of triangles are Proportional.

Sides of two triangles can be obtained using Distance formula.

 Coordinates of ΔABC are= A(0,0) , B(6,3) and C(-3,3)

Coordinates of ΔFGH are=F(-3,-2),G(-1,-3) and H(-4, -3)

        [tex]AB=\sqrt{(6-0)^2+(3-0)^2}\\\\=\sqrt{36+9}\\\\=\sqrt{45}\\\\=5\sqrt{3}\\\\BC=\sqrt{(6+3)^2+(3-3)^2}\\\\BC=9\\\\AC=\sqrt{(-3-0)^2+(3-0)^2}\\\\AC=\sqrt{9+9}\\\\=\sqrt{18}\\\\=3\sqrt{2}\\\\FG=\sqrt{(-3+1)^2+(-2+3)^2}\\\\FG=\sqrt{4+1}\\\\FG=\sqrt{5}\\\\GH=\sqrt{(-1+4)^2+(-3+3)^2}\\\\GH=3\\\\HF=\sqrt{(-4+3)^2+(-3+2)^2}\\\\HF=\sqrt{1+1}\\\\HF=\sqrt{2}[/tex]

Ratio of Corresponding sides are

    [tex]1.\rightarrow \frac{AB}{FG}=\frac{3\sqrt{5}}{\sqrt{5}}\\\\=3\\\\2.\rightarrow \frac{AC}{FH}=\frac{3\sqrt{2}}{\sqrt{2}}\\\\=3\\\\3.\rightarrow \frac{CB}{HG}=\frac{9}{3}\\\\=3\\\\\rightarrow \frac{AB}{FG}=\frac{AC}{FH}=\frac{CB}{HG}[/tex]

As corresponding sides are proportional, so trinagles are Similar.

 ⇒  ΔABC ≅ ΔFGH--------[SSS]

Hence proved.

How many families have at least 4 pets?

Answers

Answer:

6 families have at least 4 pets

Step-by-step explanation:

Hope it helped you!

The results from the customer survey are being put together into different types of graph.

Help your colleagues by working out the degrees of a pie chart each result should be shown as.

Answers

Answer:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

Step-by-step explanation:

To find the degrees on a pie chart we need to find the proportion of each category over the total.

The total is: 60 + 40 + 250 + 350 + 200 = 900

The proportions of each category is going to be:

Strongly Disagree: 60/900 = 1/15.

Somewhat Disagree: 40/900 = 2/45.

Neither Agree nor Disagree: 250/900 = 5/18.

Somewhat Agree: 350/900 = 7/18.

Strongly Agree: 200/900 = 8/9.

We find the degrees by multiplying the proportions to 360 degrees as follows:

Strongly Disagree: 24°

Somewhat Disagree: 16°

Neither Agree nor Disagree: 100°

Somewhat Agree: 350/900 = 140°

Strongly Agree: 200/900 = 80°

The total should be 360°. Let's prove it:

24 + 16 + 100 + 140 + 80 = 360°.'

What is the answer to number 2.

Answers

Answer: The correct answer would be B.

Step-by-step explanation:

Because....

24 gets the variable because in total that's number of bottles that Marjorie bought. And each day she would open and drink 2 bottles of juice, which is the reason why you are subtracting 24d with 2.

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

The answer is To number two is b

Can someone please help me ASAP?

Answers

Answer:

b. 3

Step-by-step explanation:

Box J has surface area 2(4.5 ft * 2 ft) + 2(3 ft * 2 ft) + 2(4.5 ft * 3 ft) =  57

Box F has surface area 6(3^2 ft) = 54 ft^2

The difference between the surface areas is: 57 - 54 = 3

b. diff = 3

[tex]

S_j=2\cdot(3\cdot2)+2\cdot(4.5\cdot2)+2\cdot(4.5\cdot3) \\ S_j=12+18+27=\underline{57} \\ \\

S_f=6\cdot(3\cdot3)=6\cdot9=\underline{54} \\ \\

S_j-S_f=57-54=\boxed{3}

[/tex]

The answer is 3.

jose went jogging with sam. jose jogged 5/8 miles before resting. sam jogged 1/4 mile more before stopping. after resting, they continued jogging. each of them jogged a total distance of 2 1/5 miles. how far did sam job before stopping? what was the distance jose jogged after resting?

Answers

Answer:

7/8 miles63/40 or 1 23/40

Step-by-step explanation:

1/4 = 2/8

5/8 + 2/8 = 7/8

    2. 2 1/5 = 11/5

11/5 = 88/40

5/8 = 25/40

88/40 - 25/40 = 63/40

For this case we have to, if Sam ran [tex]\frac {1} {4}[/tex]of a mile more than Jose, then, before stopping he ran:

[tex]\frac {5} {8} + \frac {1} {4} = \frac {20 + 8} {32} = \frac {28} {32} = \frac {14} {16} = \frac { 7} {8}[/tex]

I ran [tex]\frac {7} {8}[/tex]miles before stopping.

Now, Jose after resting ran ([tex]2 \frac {1} {5} = \frac {10 + 1} {5} = \frac {11} {5}[/tex]):

[tex]\frac {11} {5} - \frac {5} {8} = \frac {88-25} {40} = \frac {63} {40}[/tex]

Jose ran [tex]\frac {63} {40}[/tex]miles

ANswer:

[tex]\frac {7} {8}\\\frac {63} {40}[/tex]

Other Questions
write 250 essay in parallel structure Picture PerfectMarie Devers1At the first yearbook meeting, I quietly sat in the back of the classroom and hardly said anything. Unlike the other yearbook-club members, I found it hard to come up with catchy slogans to put under the pictures. While some students were outgoing and had no difficulty signing up sponsors on a daily basis, I was afraid to ask my grandmother, who owned a business in our hometown. When I finally did work up the nerve to ask her for a donation, she offered me some advice.2She explained that she had been the photographer of her high-school yearbook. She pulled out the old crimson book and opened it up to a giant photograph that took up a whole page. A small group of kids crowded into the shot. I looked away from the photograph and up at my grandmothers sentimental smile. 3 After she showed me some of her finest shots, we went up to her attic and found her old box of high-school memories. Inside, we found a letter man jacket that Grandma let me wear while we shuffled through the mementos. Finally, we found what she was searching for. At the bottom of the box was my Grandmas big black camera. She explained that the strap was actually for a guitar. She had attached it to the camera so she could stylishly carry it around school. Again, her gorgeous smile expanded across her face as she remembered aloud. If you were to finish writing this narrative, which is MOST LIKELY an implication you would need to explore?A)how the narrator could find enough money to buy a cameraB)what the narrator would need to do to learn how to make better grades in math classC)how the narrator could use photography to overcome fear and gain a sense of identityD)if the narrator's grandmother had a good relationship with her husband, the narrator's grandfather HELPQuelles sont quelques diffrences entre le mode de vie la campagne et en ville? Utilisez quatre adverbes de comparaison pour exprimer vos penses. crivez trois quatre phrases en franais. how do humans obtain the nitrogen they ues in their bodies Which phrase best describes a plant that is an epiphyte What information does this table present? Brooks is known for writing about __________.A.loneliness, desire, and observations of the worldB.Topeka, Kansas, where she was bornC.Amherst, Massachusetts, where she grew upD.social, political, and cultural topics "... (L)iberalism is a force truly of the spirit, a force proceeding from the deep realization that economic freedom cannot be sacrificed if political freedom is to be preserved. [An expansion of the governments role in the business world] would cramp and cripple the mental and spiritual energies of our people. It would extinguish equality and opportunity. It would dry up the spirit of liberty and progress... 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What was the Womens Suffrage Movement?Question 1 options:a) A decades-long fight to win the right to vote for women in the United Statesb) A quarter century of men suffering due to the action of their wivesc) A movement that endorsed the protection of childrend) A movement that promoted health education wavy lines will show passive sentences and - wavy lines will sho misspelled words in the document. Green Red Blue Solve the system of linear equations below.2x + y = 5 x + y = 4I don't just want the answer can someone explain how to do this? Some county districts are called parishes. True False Which correctly solves the inequality t+1825 d. t Johns house is 5 miles from his school and 9 miles from the mall. John plotted the locations of his house, his school, and the mall to form a triangle. Which statement must be true aboutm, the number of miles between the school and the mall? The area of a square is 64n^36 units. 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