All categories

2 years ago

A bag of gumballs contains 2 pink, 3 orange, 4 blue, 2 red, and 1 yellow

Mathematics

1 answer:

podryga [215]2 years ago

8 0

Answer:

1/4

Step-by-step explanation:

there are 12 gumballs in total

1 yellow + 2 pink = 3 gumballs out of all 12

3 /12 is simplified to 1/4 as both numbers is divisible by 3

You might be interested in

Suppose somebody writes down an equation for a 5th-degree polynomial function in standard form and tells you that it has only on

Vlada [557]

The answer & explanation for this question is given in the attachment below.

4 0

3 years ago

If logb2=x and logb3=y, evaluate the following in terms of x and y:

Alja [10]

$log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x$

Solution:

Given that,

$log_b2 = x\\\\log_b3 = y --------(i)$

Use the following log rules

Rule 1: $log_b(ac) = log_ba + log_bc$

Rule 2: $log_b\frac{a}{c} = log_ba - log_bc$

Rule 3: $log_ba^c = clog_ba$

$a) log_b{162}$

Break 162 down to primes:

$162 = 2^1 \times 3^4$

$log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y$

Thus we get,

$log_b162 = x + 4y$

$b) log_b 324$

Break 324 down to primes:

$324 = 2^2 \times 3^4$

$log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y$

$c) log_b\frac{8}{9}$

By rule 2

$log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} = 3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} = 3x - 2y$

$d) \frac{log_b27}{log_b16}$

By rule 2

$\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} = 3y - 4x$

Thus the given are evaluated in terms of x and y

3 0

2 years ago

Been looking for answers all day. Please.

Papessa [141]

Answer:88

Step-by-step explanation:

8 0

2 years ago

You have your heart set on buying a new car in 2 years. You invest $3,200 at 3.75% interest compounded continuously. How much mo

SCORPION-xisa [38]

Answer:

The available amount for the down payment of car and invested $3,200 at 3.75% interest compounded continuously is 3449.23$

Explanation:

We know final amount is given by

Where,

$A=P \times e^{r t}$

A = final amount

P = initial principal balance = $3200

r = interest rate = 3.74%

t = number of time periods elapsed = 2 years

Substituting the values in the formula

$r=\frac{3.75}{100}=0.0375$

A= $3200 \times e^{(0.0375 \times 2)}$

We know, e = 2.72

So we get A = 3449.23$ which is the available amount for the down payment of car .

7 0

3 years ago

Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets

nydimaria [60]

"The mean study time of students in Class B is less than students in Class A" is the statement among the following choices given in the question that is true for the data sets. The correct option among all the options that are given in the question is the second option or option "B". I hope the answer helped you.

3 0

3 years ago

Read 2 more answers