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ale4655 [162]
2 years ago
7

In a meeting, there are five presenters: Lily, Catherine, Ted, Edward, and Bianca. Bianca must present after Edward but not imme

diately so. There must be one presenter between Bianca and Catherine Catherine must present immediately after Ted. At least two other people must present after Edward and before Ted. When must Lily present?
Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

Lily would present after Edward

Step-by-step explanation:

Catherine must present after Ted. Therefore we have Ted, Catherine.

There must be one presenter between Bianca and Catherine, therefore we have: Bianca, x, Catherine. x is the name of the presenter between  Bianca and Catherine. Since Ted presents immediately before Catherine, x = Ted. This means we have Bianca, Ted, Catherine.

There must be at least two other people must present after Edward and before Ted. This means we have Edward, y, Bianca, Ted, Catherine. y is the name of the presenter between Edward and Bianca.. Since we have only five presenters, the only presenter remaining is Lily.

Therefore the presenters are arranged as:

Edward, Lily, Bianca, Ted, Catherine.

Lily is the second to present. Lily would present immediately after Edward and before Bianca

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On sunday 1/16 people who visit were senior citizens, 3/16 were infants, 3/8 were children and 3/8 were adults, how many of each
mamaluj [8]

Answer:

Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.

Step-by-step explanation:

let total number of people visited the group  = x

so number of senior citizens = x × 1/16 = x/16

Percentage of  senior citizens = (number of senior citizens ÷ total number of people visited the group) × 100

= (x/16 ÷ x)  × 100 = 100/16 = 6.25%

number of infants = 3/16 × x = 3x/16

Percentage of  infants =(number of infants  ÷ total number of people visited the group) × 100 = (3x/16 ÷ x)  × 100 = 300/16 = 18.75%

number of  children = 3/8 × x = 3x/8

Percentage of  children =(number of children ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%

number of  adults = 3/8 × x = 3x/8

Percentage of  adults =(number of adults ÷ total number of people visited the group) × 100 = (3x/8 ÷ x)  × 100 = 300/8 = 37.5%.

Hence we can conclude that Out of total people visited the zoo on Sunday , 6.25% was senior citizen ,  18.75% were infants , 35% were children and 35% were adult.






4 0
2 years ago
Robert is traveling to Mexico for a family vacation. He is bringing 625 U.S. dollars with him. Robert needs to exchange his mone
Evgesh-ka [11]

Robert should get D. 8281.25 pesos in exchange.

Explanation:

  • Robert is bringing 625 U.S. dollars with him to Mexico. He needs to exchange the money he has with him to Mexico's currency i.e. from U.S. dollars to Mexican pesos.
  • The exchange rate is 13.25 Mexican pesos for each U.S. dollar. So                               1 U.S. dollar = 13.25 Mexican pesos.
  • So to calculate how much 625 U.S. dollars is in pesos we multiply 625 with the exchange rate i.e. 13.25 pesos                                                        625 U.S dollars = 625 × 13.25 = 8281.25 Mexican pesos.

7 0
2 years ago
Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
2 years ago
Choose the function whose graph is given by:
katen-ka-za [31]

Answer:

D. y=\tan (x-\pi)+2

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, y=\tan (x)+2.

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period \frac{P}{|b|}.

Also, form the figure, we see that the period of the graphed function is \pi.

Since, y=\tan (x) have period \pi.

So, function in option B will have period \frac{\pi}{2}, which is not possible.

<em>Further, function in option D have period \pi.</em>

Thus, the equation of the graphed function is, y=\tan (x-\pi)+2.

7 0
2 years ago
Read 2 more answers
Which of the number(s) below are potential roots of the function? p(x) = x4 + 22x2 – 16x – 12
Neporo4naja [7]

Complete question is;

Which of the number(s) below are potential roots of the function? p(x) = x⁴ + 22x² – 16x – 12

A) ±6

B) ±1

C) ±3

D) ±8

Answer:

Options A, B & C: ±6, ±1, ±3

Step-by-step explanation:

We are given the polynomial;

p(x) = x⁴ + 22x² – 16x – 12

Now, the potential roots will be all the rational numbers equivalent of p/q.

Where;

p are the factors of the constant term of the polynomial

q are the factors of the leading coefficient of the polynomial

Now, in the given polynomial, the constant term is seen as -12 while leading coefficient is 1 which is the coefficient of x⁴.

We know that factors of 12 are any of:

±1, ±2, ±3, ±4, ±6 and ±12

While possible factors of 1 is just ±1.

Thus, all the potential roots of the polynomial function are;

±1, ±2, ±3, ±4, ±6 and ±12

From the options given, option A, B & C could be the potential roots.

6 0
2 years ago
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