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3 years ago

This is for algebra 1

Mathematics

1 answer:

allsm [11]3 years ago

3 0

X+y=12 -- 1
3x+2y=29 -- 2

(1)x2
2x+2y=24 -- 1
(2)-(1)
x=5

Sub x into 1
x+y=12
5+y=12
y=7

Her two numbers are 5 and 7

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A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

3 years ago

How much money would a person have 8 years after they invested $2,000 into an account that has an annual interest rate of 3% tha

madam [21]

The amount of money the person would have in 8 years s $2541.74.

<h3>How much would the person have in 8 years? </h3>

The formula for calculating future value is:

FV = P (1 + r)^nm]

Where:

FV = Future value

P = Present value = $2000
R = interest rate = 3% / 12 = 0.25%
m = number of compounding = 12
N = number of years = 8 years

Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74

To learn more about future value, please check: brainly.com/question/18760477

4 0

2 years ago

Explain why it is possible to draw more than two different rectangles with an area of 36 square units, but it is not possible to

Inessa05 [86]

Answer:

Step-by-step explanation

you are able to make two squares because you can use the square root of 36 and that twill give you 6 not a decimal.

in comparison if you do the square root of 15 it will give you 3.87298335

7 0

3 years ago

When a whole number is multiplied by a decimal smaller than one, what can you conclude about the result?

Sophie [7]

Answer:

The answer is D

Step-by-step explanation:

The resulting number is smaller than the original. This is true because if you take 20 times 0.5 it will equal ten. A decimal is pretty much a fraction in another form.

The reason why A is false is because if the number isn't being multiplied by 1 then it can't stay the same.

The reason why B is false is because that is not true as in the example above, 20 times 0.5, it equaled 10 and not less than one.

The reason why C is false is because the the resulting number simply cannot be higher than the original when being multiplied by a decimal smaller than 1.

Hope this helps

- Que

3 0

3 years ago

Read 2 more answers

Al sumar fracciones con igual denominador, debemos sumar numerador con numerador y denominador con denominador. Verdadero o fals

Ahat [919]

Answer:

La respuesta es falso.

Step-by-step explanation:

La respuesta es falso.

Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:

$\frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} = \frac{4}{5}$

En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.

Por lo tanto, la respuesta es falso.

Espero que te sea de utilidad!

7 0

2 years ago