Ask question

Ask question

All categories

2 years ago

13

helen divides up some money to give to her eight nieces. if d represents the total amount, enter an expression to represent how

much each niece recieves

1 answer:

poizon [28]2 years ago

4 0

1/8 d = how much each niece receives

Each niece receives(x) amount of money.1/8 of the money)

If you multiply this amount by 8 it will be the money Helen divides up to her 8 nieces 1/8dx8=8/8(the whole amount is 8/8)

You might be interested in

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

mamaluj [8]

Answer:

Option c. Reflection across the x-axis and vertical stretch by a factor of 7

Step-by-step explanation:

If the graph of the function $y = cf(x)$ represents the transformations made to the graph of $y = f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor a.

If $|c| > 1$ then the graph is stretched vertically by a factor a.

If $c$ then the graph is reflected on the x axis.

In this problem we have the function $y = -7secx$ and our paretn function is $y = secx$

therefore it is true that

$c = -7\\\\|-7|> 1\\\\-7$ .

Therefore the graph of $y = secx$ is stretched vertically by a factor of 7 and is reflected on the x-axis

Finally the answer is Option c

6 0

3 years ago

Two ride-sharing companies, A and B, provide service for a certain city. A random sample of 52 trips made by Company A and a ran

Bogdan [553]

WTFFFFF this is hella long

3 0

3 years ago

The smallest square number which can be divisible by 11 and 5

Elena L [17]

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

$\sqrt{55x} = \sqrt{5 \times 11 \times x}$

the smallest value of x to make 55x a perfect square is....

$x = 11 \times 5 = 55$

Therefore the number is.... .

$55x = 55(55) = 3025$

<em>sweet</em><em> </em><em>right</em>

<h2><u>B</u><u>R</u><u>A</u><u>I</u><u>N</u><u>L</u><u>I</u><u>E</u><u>S</u><u>T</u><u> </u><u>P</u><u>L</u><u>S</u><u>.</u><u>.</u><u>.</u><u>.</u></h2>

6 0

2 years ago

A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is

mars1129 [50]

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards. There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

$P(Hearts) = \frac{13}{52}$

Now, the probabily that the second card is a diamond is:

$P(Diamond | First card is Heart) = \frac{13}{51}$

The Probability that the first card is a heart and the second one a diamond is given by:

$P(Hearts)$ × $P(Diamond | First card is Heart)$

$= \frac{13}{52}\frac{13}{51}$

$= 6.37$ %

4 0

2 years ago

Read 2 more answers

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

2 years ago