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

On an assembly line, 3 out of every 100 light bulbs are found to be defective . If 5000 light bulbs are produced, how many would

STatiana [176]

Answer:

Step-by-step explanation:

There are 50 hundreds in 5000.

No of defective bulb expected = 50 * 3 = 150

3 0

4 years ago

In arithmetic sequence tn find: S10, if t2=5 and t8=15

makkiz [27]

Given:

$\bold{t_2=5}\\\\\bold{t_8=15}\\\\$

To find:

$\bold{T_n=?}\\\\\bold{S_{10}=?}$

Solution:

$\to \bold{t_2=5}\\\\ \bold{a+d=5} \\\\ \bold{a=5-d} ................(i)\\\\ \to \bold{t_8=15}\\\\ \bold{a+ 7d=15}.................(ii)\\\\$

Putting the equation (i) value into equation (ii):

$\to \bold{5-d+7d=15}\\\\\to \bold{5+6d=15}\\\\\to \bold{6d=15-5}\\\\\to \bold{6d=10}\\\\\to \bold{d=\frac{10}{6}}\\\\\to \bold{d=\frac{5}{3}}\\\\$

Putting the value of (d) into equation (i):

$\to \bold{a=5-\frac{5}{3}}\\\\\to \bold{a=\frac{15-5}{3}}\\\\\to \bold{a=\frac{10}{3}}\\\\$

Calculating the $\bold{t_n :}$

$\to \bold{t_n=a+(n-1)d}\\\\\to \bold{t_n=\frac{10}{3}+(n-1)\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}+\frac{5}{3}n-\frac{5}{3}}\\\\\to \bold{t_n=\frac{10}{3}-\frac{5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{10-5}{3} +\frac{5}{3}n}\\\\\to \bold{t_n=\frac{5}{3} +\frac{5}{3}n}\\\\ \to \bold{t_n=\frac{5}{3}(1+n)}\\\\$

Formula:

$\bold{S_n = \frac{n}{2}[2a + (n - 1)d ] }\\$

Calculating the $\bold{S_{10}} :$

$\to \bold{S_{10} = \frac{10}{2}[2\frac{10}{3} + (10- 1)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + (9)\frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 9 \times \frac{5}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 3\times 5 ] }\\\\\to \bold{S_{10} = 5[\frac{20}{3} + 15 ] }\\\\\to \bold{S_{10} = 5[\frac{20+ 45}{3} ] }\\\\\to \bold{S_{10} = 5[\frac{65}{3} ] }\\\\\to \bold{S_{10} = 5 \times \frac{65}{3} }\\\\\to \bold{S_{10} = \frac{325}{3} }\\\\\to \bold{S_{10} =108.33 }$

Therefore, the final answer is " $\bold{\frac{5}{3}(1+n)\ and\ 108.33}$ "

Learn more:

brainly.com/question/11853909

7 0

3 years ago

A teacher has a 2-gallon (32-cup) container of juice. She gives each student 1/2 cup of juice. Which equation represents the amo

charle [14.2K]

Y = 32 - 1/2x

example : lets say that there r 30 students.....x = 30
y = 32 - 1/2(30)
y = 32 - 15
y = 17 cups......so 17 cups remain

3 0

3 years ago

Read 2 more answers

Find the simplified product:<br> √2x² • √184²

KatRina [158]

I believe it is numbers 184x√2

4 0

3 years ago

A deck is in the shape of a right triangle. The area of the deck is 44 m². The length of one side of the deck next to the right

Andrews [41]

11m
The area of a triangle is bh/2. If we know the height (8m), we can plug it into a=bh/2 for a=8h/2 or a=4h or a/4=h
Since we know the area (44m^2), we can put that in for 44/4=h or h=11 metres.

8 0

3 years ago