Solve:<br> 6X+10>5x-12<br> i need help

Dhani has 4 cards numbered 1 through 4. He removes 2 cards at random and adds their values.

DanielleElmas [232]

Answer:

$2/3$

Step-by-step explanation:

The total number of sums (not distinct) is $4\cdot 3=12$ , because we're removing without replacement.

Count the sums that fit the stipulation (sum $\leq$ 5):

$1,2,\\2,1\\1,3\\3,1\\1, 4\\4, 1\\2, 3, \\3,2$

There are 8 sums that work. Therefore, the desired answer is $\frac{8}{12}=\boxed{\frac{2}{3}}$

3 0

2 years ago

A species of beetles grows 32% every year. Suppose 100 beetles are released into a field. How many beetles will there be in 10 y

siniylev [52]

Given that a species of beetles grows 32% every year.

So growth rate is given by

r=32%= 0.32

Given that 100 beetles are released into a field.

So that means initial number of beetles P=100

Now we have to find about how many beetles will there be in 10 years.

To find that we need to setup growth formula which is given by

$A=P(1+r)^n$ where A is number of beetles at any year n.

Plug the given values into above formula we get:

$A=100(1+0.32)^n$

$A=100(1.32)^n$

now plug n=10 years

$A=100(1.32)^{10}=100(16.0597696605)=1605.97696605$

Hence answer is approx 1606 beetles will be there after 20 years.

Now we have to find about how many beetles will there be in 20 years.

To find that we plug n=20 years

$A=100(1.32)^{20}=100(257.916201549)=25791.6201549$

Hence answer is approx 25791 beetles will be there after 20 years.

Now we have to find time for 100000 beetles so plug A=100000

$A=100(1.32)^n$

$100000=100(1.32)^n$

$1000=(1.32)^n$

$log(1000)=n*log(1.32)$

$\frac{\log\left(10000\right)}{\log\left(1.32\right)}=n$

33.174666862=n

Hence answer is approx 33 years.

4 0

3 years ago

Read 2 more answers

I needddd helppp please

Montano1993 [528]

Answer:

X=66°

Step-by-step explanation:

Because it is an isosceles triangle, the 2 missing angles are going to be the same size.

Subtract 48 from the total degree of the triangle which is 180.

180-48= 132

now you di ed that by 2 and you’ll know the missing angle.

132/2= 66

5 0

2 years ago

The function C(t) = 5t 0.1t + 3.3 models the amount of a drug in a persons bloodstream over a period of time. What is a reasonab

enyata [817]

7 0

3 years ago

Read 2 more answers

4. GIVEN: AC II DB, AC = DB

LUCKY_DIMON [66]

Answer:

khan accademy will help you

Step-by-step explanation:

7 0

2 years ago

Solve: 6X+10>5x-12 i need help