There are 8 carrots. Four friends take 2 carrots each. What fraction of the carrots
does each friend take?
Type the answer in the boxes.

Answer:

see below

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

FOIL

8(n^2 +2n+4n+8) = 1144

Divide each side by 8

8/8(n^2 +2n+4n+8) = 1144/8

(n^2 +2n+4n+8) = 143

Combine like terms

n^2 +6n+8 = 143

Subtract 143 from each side

n^2 +6n+8 -143= 0

Combine like terms

n^2 +6n -135 =0

Factor

What two terms multiply to -135 and add to 6

-9*15 =-135

-9+15 = 6

(n-9) (n+15) =0

Using the zero product property

n-9 =0    n+15=0

n = 9   n=-15

The length cannot be negative so n = -15 cannot be  a solution

n =9

Answer:

n = 9

Step-by-step explanation:

8(n + 2)(n + 4) = 1,144

(n + 2)(n + 4) = 143

n² + 2n + 4n + 8 = 143

n² + 6n - 135 = 0

n² + 15n - 9n - 135 = 0

n(n + 15) - 9(n + 15) = 0

(n - 9)(n + 15) = 0

n = 9, -15

since n is a length, it can not be negative

Therefore the only solution is n = 9

Answer:

The correct answer is A, Point P

Step-by-step explanation:

since the additive inverse of 2 is -2 because -2 + 2 = 0 the correct choice must be choice A, Point P.

Answer:

Height of tree =  28.2 ft (Approx)

Step-by-step explanation:

Given:

Angle from ground to top of the tree = 62°

Distance from a point to base of tree = 15 ft

Height of tree = [tex]X[/tex]

Find:

Height of tree = [tex]X[/tex]

Computation:

Using trigonometric application:

[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]

Height of tree =  28.2 ft (Approx)

Answer:

M=25-3D

Step-by-step explanation:

Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.

Answer:

5x (3-2x^2)

Step-by-step explanation:

so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.

The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].

The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

Given that,

Equation; [tex]\rm 15x - 10x^3[/tex]

We have to determine,

Factorize the equation and factor of the equation.

According to the question,

To factorize the equation and determine the factor of the equation following all the steps given below.

Equation; [tex]\rm 15x - 10x^3[/tex]

                   [tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]

                   [tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]

                    [tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]

                    [tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]

Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].

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Answer:

it will be equal to 11/20

Answer:

11/20

Step-by-step explanation:

= (5+12-6)/20

= 11/20

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

Answer:

[tex]AC=13.5[/tex]

Step-by-step explanation:

Use the Law of Sines as follows:

[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]

Insert the values (use the steps from the last problem):

[tex]\frac{sin25}{14} =\frac{sin24}{b}[/tex]

Isolate b. Multiply both sides by b:

[tex]b*(\frac{sin25}{14} )=b*(\frac{sin24}{b})\\\\b*\frac{sin25}{14}=sin24[/tex]

Multiply both sides by 14:

[tex]14*(b*\frac{sin25}{14})=14*(sin24)\\\\b*sin25=14*sin24[/tex]

Isolate b. Divide both sides by sin 25:

[tex]\frac{b*sin25}{sin25} =\frac{14*sin24}{ysin25} \\\\b=\frac{14*sin24}{sin25}[/tex]

Insert the equation into a calculator and round to the nearest tenth:

[tex]b=13.5[/tex]

The length of AC is 13.5 units.

:Done

Answer:

b) 8/40 = 1/5

The probability of the relative frequency for females in the age group 60-69 is 0.625.

We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.

here we have to find the probability that a resident is female.

[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]

here the total number of females are=19+2+4

                                                              =25

and the total number of males=1+9+5

                                                   =15

Hence, the total number of people=25+15=40

So Probability=25/40

                      =0.625

Hence option D is correct.

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Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

The given graph shown in the image is of function y = cotx. Option D is correct.

Given that,
To determine the function whose curve is plotted in the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



Here,
Since the given graph is of cots because only cotx tends to infinity whenever x tends nπ where n is an integer on the number line.

Thus, the given graph shown in the image is y = cotx. Option D is correct.

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Answer:

x = 1/2

Step-by-step explanation:

-3= 4x - 5 becomes 5 - 3 = 4x when 5 is added to both sides.  Then:

2 = 4x, and x = 2/4, or x = 1/2.

The solution of the linear equation -3= 4x - 5 is x = 1/2.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An equation: -3 = 4x - 5.

Simplifying,

by using substitution,

4x - 2 = 0

This is a one variable linear equation. Where x is a variable.

In order to solve the equation:

Simplifying,

4x  = 2

x = 1/2

Therefore, the solution of the equation is 1/2.

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Answer:

Attention for the conditions:

[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]

Step-by-step explanation:

we have

[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]

So the solutions are 5 because x>0

Step-by-step explanation:

let 3 sides be a b c

a-b<c<a+b (always)

we have 7+5 =12 (contradict the above property)

-> 12,7,5 will not make a triangle

Answer:

Value of x = 25

Step-by-Step Explanation:

~ Knowing that, in a right triangle ~

sin(40-x)=cos(3x) ⇒

sin(40-x)=sin(90-3x) ⇒

40 - x = 90 - 3x ⇒

40 - x  +3x=90 - 3x  +3x =>

40+2x=90 =>

2x=50 =>

x = 25

Now it is proven to be that,

x = 25

Answer:

9

Step-by-step explanation:

13.5 / 1.5 = 9

Answer:

[tex] \boxed{Speed = 0.15 \: miles \: per \: minute} [/tex]

Given:

Distance travelled = 13.5 miles

Time taken = 1.5 hours = 1.5 × 60 = 90 minutes

Step-by-step explanation:

[tex]Speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{13.5}{90} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.15 \: miles \: per \: minute[/tex]

Answer:

34

Step-by-step explanation:

There is the same opposite arch for both angles so they should be equal.

Hope this is helpful!

Step-by-step explanation:

Total marbles = 25

Probability of white marble = 3/ 25 = 0.12

Answer:

The loan was $28184.81

Step-by-step explanation:

Let the loan amount be x

Rate of interest on Loan = 9%

Time = 8 years

Amount of loan over 8 years = $56160

Formula : [tex]A=P(1+r)^t[/tex]

Where A = Amount =56160

P = Principal = x

r = rate of interest = 9% = 0.09

t = time = 8 years

Substitute the values in the formula :

So,[tex]56160=x(1+0.09)^8[/tex]

[tex]\frac{56160}{(1+0.09)^8}=x[/tex]

$28184.81=x

Hence The loan was $28184.81

Answer:

D

Step-by-step explanation:

if something is multiplied by 1.025 it is increasing by 2.5 percent

Answer:

D , 2.5%

Step-by-step explanation:

1.025 - x = 1; x = .025; as a percent = .025 * 100 = 2.5%.

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

Answer: 37.6991118

Step-by-step explanation:

------------------------------------------------

-3x - 3 <-63

Add 3 to both sides:

-3x-3+3 < -63+ 3

Simplify:

-3x < -60

Multiply both sides by -1:

(reverse the inequality)

(-3x)(-1) > (-60)(-1)

Simplify:

3x > 60

Divide both sides by 3:

3x/3 > 60/3

Simplify:'

x > 20

Your Answer Is x > 20

plz mark me as brainliest if this helped :)

Answer:

theoretical is first then experimental

Step-by-step explanation:

Answer:

Experimental , Theoretical

Answer:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

Answer: 3

This is the answer if you think its wrong i don't know its correct i got it right

Answer:

23/33 x 10/33 = 21/100

Probability of A and B (independent events): p(A and B) = p(A) * p(B).

P(Foreign language | Sport) would mean P for probability

We use P in questions

and P in answer format.

We Know that F Union S F Union Sport = All in A + B and both = 47

The probability in both means you need to subtract the middle values as they are in both and repeated. It also becomes a special  

Union. The union of two or more sets is the set that contains all the elements of each of the sets; an element is in the union if it belongs to at least one of the sets. The symbol for union is ∪ , and is associated with the word “or”, because A∪B A ∪ B is the set of all elements that are in A or B (or both.)

Answer:

6a   +13

Step-by-step explanation:

(2a + 8) + (4a + 5)

Combine like terms

2a+4a   +8+5

6a   +13

Answer:

6a + 13

Step-by-step explanation:

1. simplify

(2a + 8) + (4a + 5)

2. Reorder the terms

(8 + 2a) + (4a + 5)

3. Remove parentheses

8 + 2a + 4a + 5

4. Combine like terms

8 + 5 = 13

2a + 4a = 6a

So, 6a + 13 is your answer.

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation: