All categories

2 years ago

The number 132 can be written in the form

1 answer:

3 0

$132|2 \\ 66 \ | 2 \\ 33 \ |3 \\ 11 \ |11 \\ 1 \\\\ 132=2*2*3*11 \\\\ 132=2p*q*r \\\\ 2p=2*2 \to\boxed{p=2} \\\\ \boxed{q=3} \ \ \ \ \ \ \ \ \ \ \ \ \boxed{r=11}$

You might be interested in

Which side lengths form a right triangle?

lilavasa [31]

Answer:

About anything that adds up to 90...

Step-by-step explanation:

3 0

2 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

<em>The fraction of the beads that are red is</em>

Step-by-step explanation:

<u>Algebraic Expressions</u>

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago

If you have a chance to win $500 for drawing a card of 10 of any suit from a standard deck of cards, what is the value of expect

Dimas [21]

The expected value is $38.46.

The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings, 500:

4/52(500) = 2000/52 = 38.46

6 0

2 years ago

How do I solve this question?

Juli2301 [7.4K]

11 because if you count the spaces between the two places, the answer would be 11.

3 0

2 years ago

Read 2 more answers

You make a time capsule with your friends. Find the surface area of the shape pictured. Use 3.14 to approximate pi.

Orlov [11]

Answer: $1,475.8mm^{2}$

Step-by-step explanation:

1. If you join the top part and the bottom part of the figure, you obtain a sphere. Then, you must apply the formula for calculate the surface area of a sphere:

$SA_s=4r^{2}(3.14)$