The population of rabbits doubles every 3 months. If there were initially 150 at the bunny farm, how many will there be after 3 years?

Answers

Answer 1

Answer: First you need to find how many months there are in 3 years. You multiply 3 by 12 to find out how many months there are(there are 12 months in a year) 3*12 = 36. Next you need to find out how many times the population doubles. You can do this by dividing the total amount of months by 3(36/3=12). You can then multiply the starting population by 2 to the amount of times you double (150*( $2^(12)$ )). Giving you an answer of 49152.

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Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the probability that the fruit is an orange or a pear? A. 56 B. 23 C. 12 D. 13

Answers

Answer: The probability that the fruit is an orange or a pear is $(1)/(3)$ .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange) = $\frac{\text{Number of oranges}}{\text{Total fruits}}$

$=(3)/(12)$

P(pear)= $\frac{\text{Number of pears}}{\text{Total fruits}}$

$=(1)/(12)$

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

$=(3)/(12)+(1)/(12)=(4)/(12)=(1)/(3)$

Therefore , the probability that the fruit is an orange or a pear is $(1)/(3)$ .

one angle of a triangle is three times as large as another. the measure of the third angle is 40 degrees more than that of the smallest angle. find the measure of each angle

Answers

Hello,

Let x the second angle
the first is 3x
the third 40°

3x+x+40=180
==>4x=140
==>x=35°
3x=3*35=105°

Need help solving this proportion....
x\4 = 5\7

Answers

$(x)/(4)= (5)/(7)$

$7*x=4*5$

$7x=20$

$x=2(6)/(20)$

$x=2(3)/(10)$

$x/4=5/7 \n 7x=4*5 \n 7x=20 \n x=20/7 \n x=2+6/7$

which fraction is halfway between 1/2 and 5/6? A. 2/3 B. 4/3 C.3/5 D.7/12 And another question Arrange these numbers from least to greatest: -3/7, -5/6, -3/5, and -7/9 ?

Answers

1st Question:

1/6, 2/6, 3/6 = 1/2, 4/6, 5/6, 6/6.

Halfway between 1/2 and 5/6 is 4/6 = 2/3.

-----------

2nd Question: Could've been worked out on a calculator.

-5/6, -7/9, -3/5, -3/7

What is an equation in slope intercept form for the line perpendicular to y = - 2x + 5that contains (-8, 1)?
1
A.O
y - 8 = 2 (x + 1)
B. O y=-2x - 1
C.O. 1
=
0:0 x = žy + 14

Answers

Answer:

$\displaystyle y =(1)/(2)x+5$

Step-by-step explanation:

Equation of the line

The slope-intercept form of a line is given by:

$y=mx+b$

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

$y - k=m(x-h)$

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

We are given the line:

$y=-2x+5$

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

$\displaystyle m_2=-(1)/(m_1)$

$\displaystyle m_2=-(1)/(-2)$

$\displaystyle m_2=(1)/(2)$

The required line contains the point (-8,1), thus the equation is:

$\displaystyle y - 1=(1)/(2)(x+8)$

Removing the parentheses:

$\displaystyle y - 1=(1)/(2)x+(1)/(2)\cdot 8$

Adding 1:

$\displaystyle y =(1)/(2)x+(1)/(2)\cdot 8+1$

Operating:

$\displaystyle y =(1)/(2)x+4+1$

$\mathbf{\displaystyle y =(1)/(2)x+5}$

Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost? A. $28,865.00
B. $28,911.50
C. $27,275.00
D. $28,908.50

Answers

Given:
cost:        26,500
option:          725
total    27,225
tax (27,225 * 6%)   1,633.50
total 28,858.50
license & reg. fee 50.00
total cost 28,908.50 Choice D.

Answer:

D. $28908.5

Step-by-step explanation:

We have been given that Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00.

So the cost of car after options costing will be: $\$26,500+\$725=\$27,225$ .