There are 216 blueberries in 6 baskets. What is the unit rate of blueberries per basket?

Answer:

[tex]n = 11[/tex]

Step-by-step explanation:

Given

[tex]^nP_2 = 110[/tex]

Required

Solve for n

[tex]^nP_2 = 110[/tex]

Start by applying permutation formula:

[tex]\frac{n!}{(n-2)!} = 110[/tex]

Expand the numerator

[tex]\frac{n*(n-1) * (n-2)!}{(n-2)!} = 110[/tex]

(n-2)! cancels out

[tex]n*(n-1) = 110[/tex]

Expand

[tex]n^2 - n = 110[/tex]

Subtract 110 from both sides

[tex]n^2 - n -110= 110-110[/tex]

[tex]n^2 - n -110= 0[/tex]

Expand:

[tex]n^2 - 11n +10n-110= 0[/tex]

Factorize:

[tex]n(n-11) +10(n-11)= 0[/tex]

[tex](n+10)(n-11) = 0[/tex]

This implies that:

[tex]n + 10 = 0\ or\ n - 11 = 0[/tex]

[tex]n = -10\ or\ n = 11[/tex]

But n can't be negative.

So:

[tex]n = 11[/tex]

Answer:

D

Step-by-step explanation:

Answer:

A=πr²

3.14×5²

3.14×25

=78.5cm²

Answer:

C. Yes.  Daniel and Elizabeth each read 15 pages an hour

Step-by-step explanation:

30 + 45 = 75

3 + 2 = 5

75/5 = 15/h

Hope it helps, sorry if its wrong.

Answer:

1.8

2.24

3.15

Step-by-step explanation:

Answer: 3 different orderings :)

Step-by-step explanation:

Answer:

504

Step-by-step explanation:

9*8*7 = 504

Answer:

i think the answer would be 8 2/5

Step-by-step explanation:

but i also need to know what the other uestions are saying

Answer

36 is a perfect square

50 is not a perfect square

20 is not a perfect square

2 is not a perfect square

So, the answer is 36

Hope this helps! <3

Answer:

x=6

Take 2 to the other side, the sign becomes negative. You're then left with 5x is less than 30. After that just divide both sides with 5 so that you're left with x.

The value of  x is less than 6

Inequality shows the relationship between two values in an algebraic equation that are not equal.

The given inequality is 5x + 2 < 32

Subtract -2 from both sides of the inequality then we get

5x < 30

Next, divide both sides by 5, then we get the range of x.

i.e x < 6

The solution to the given inequality  is x < 6 .

To learn more about inequality use the below link:

https://brainly.com/question/28823603

#SPJ5

Answer:

You can do 60 ÷ 6 = 10 groups.

Step-by-step explanation:

There are many ways to answer this and it's very simple.

6 and 10 is just one of the many factors of 60.

you can also do 60 ÷ 2 = 30 groups

Complete Question

Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e^2t 1 bacteria per hour. Find the population size after four hours

Answer:

3010

Step-by-step explanation:

We were given the rate: 2e^2t

Step 1

We would integrate

P = Population

dP/dt = 2e^2t

dP =( 2e^2t) dt

∫dP = ∫ 2e^2t dt

P(t) = (2e^2t)/2 + C

P(t) = e^2t + C

Step 2

We solve for C

The culture initially has 30 bacteria

When t = 0

P(0) = 30

P(0) = e^2t + C

30 = e^2× 0 + C

30 = 1 + C

C = 30 - 1

C = 29

Step 3

Find the population size after four hours

t = 4, C = 29

P(t) = e^2t + C

P(4) = e^2 × 4 + 29

P(4) = e^8 + 29

P(4) = 3009.957987

Approximately = 3010 bacteria

Answer:

Surface area: 500

Volume: 5500

Step-by-step explanation:

Scale factor: 2:5

This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.

Surface area:

The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So

[tex]S = (\frac{5}{2})^2 \times 80 = \frac{25}{4} \times 80 = 25 \times 20 = 500[/tex]

Volume:

The volume is found multiplying the cube of the change(5/2) by the original volume(352). So

[tex]S = (\frac{5}{2})^3 \times 352= \frac{125}{8} \times 352 = 125 \times 44 = 5500[/tex]

Answer:

36

Step-by-step explanation

Subtract 50% from $96.00

96.00 - 48.00 = 48.00

Find out what is 75% of 48

48.00 - 75% = 36

Answer:

ok

Step-by-step explanation:

Given:

[tex]m\angle ABC=46^\circ[/tex]

BD bisects angle ABC.

To find:

The [tex]m\angle ABD[/tex].

Solution:

It is given that, BD bisects angle ABC. It means, BD divides the angle ABC is two equal parts. So,

[tex]m\angle ABD=m\angle DBC=\dfrac{\angle ABC}{2}[/tex]

We need to find [tex]m\angle ABD[/tex], so

[tex]m\angle ABD=\dfrac{\angle ABC}{2}[/tex]

[tex]m\angle ABD=\dfrac{46^\circ}{2}[/tex]

[tex]m\angle ABD=23^\circ[/tex]

Therefore, the [tex]m\angle ABD[/tex] is 23°. Hence first option is correct.

Answer: attached 47 degrees

Step-by-step explanation:

There is three inner triangles the total angle is 540 or 180*3 see comment

Answer:

(0,4) is the y intercept for function A

(0,3) is the y intercept for function B

so function A has the greatest y intercept

Step-by-step explanation:

Answer:

1. $1430

2. $930

3. $1070

4. 105

   96

  -20

  -76

  -560

Answer:

M

Step-by-step explanation:

because it is equal on either side if you cut a line down the middle of the letter

Answer:

14x18;16123

Step-by-step explanation:

Answer: isosceles scalene scalene and equalateral

Step-by-step explanation:

Answer:

p = 11

Step-by-step explanation:

In a parallelogram BA and CD are parallel so you would set the problem up 7p = p +66

- p both sides

6p = 66

divide 6 both sides

p = 11

Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:I believe y would also be 0

Step-by-step explanation: so sorry if I’m wrong but good luck! :)

Answer:

the person above me is correct!

Step-by-step explanation:

0 2021 Edg

Answer:

A sample of 307 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this question, we have that:

We dont know the true proportion of women police officers, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size would be needed.

92% confidence level

So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].

How large should a sample be if the margin of error is .05 for a 92% confidence interval

We need a sample of n, and n is found when [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.75\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.75*0.5[/tex]

[tex]\sqrt{n} = 17.5[/tex]

[tex](\sqrt{n})^2 = (17.5)^2[/tex]

[tex]n = 306.25[/tex]

Rounding up

A sample of 307 is needed.

Answer:

the answer is x < - 6

Step-by-step explanation:

see the pictures for the step by step explanation

i hope this helps

if you need more help understanding algebraic inequality's

if this helps please give brainliest

and 5 stars

Also share this answer so it can help others

thanks,

skymillie28

Expert

Answer:

8 × 6.98

Step-by-step explanation:

..............

Answer:

When it comes to positive and negative numbers, you can think of the inverse as being the "opposite." For example, for 5, the inverse is -5.

Answer:

(6, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - 10y = -28

-10x + 10y = -20

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

on edge I got it right so yea