Please help ill give brainlest

Please Help Ill Give Brainlest

Answers

Answer 1

Answer & Step-by-step explanation:

For this problem, we have to find the equations that have a value of 10 for the variable y. Immediately, we can eliminate some answers. We can eliminate A, D, and E because they all have a different value for the variable y. So, that leaves us with answer choices B and C.

In order to check to see if we are correct, let's plug in 10 for the y in answer choices B and C.

B:

8 = 18 - y

8 = 18 - 10

8 = 8

C:

60 = 6y

60 = 6(10)

60 = 60

So, as you can see, we are correct and we have successfully found the correct answer to the given problem.

Answer 2

Answer:

B and C

Step-by-step explanation:

We want to find the equations where y=10 is a solution. Let's plug 10 into each equation and solve.

A. y+11=22

10 +11 =22

Add 10 and 11.

21 ≠ 22

21 does not equal 22. This choice is incorrect.

B. 8= 18-y

8=18-10

Subtract 10 from 18.

8=8

8 equals 8. This choice is correct.

C. 60=6y

60=6(10)

Multiply 6 and 10.

60=60

60 equals 60. This choice is correct.

D. y/5=4

10/5=4

Divide 10 by 5.

2≠4

2 does not equal 4. This choice is incorrect.

E. 10y=20

10(10)=20

Multiply 10 and 10.

100≠20

100 does not equal 20. This choice is incorrect.

The equations where y=10 is a solution are B. 8=18-y and C. 60=6y


Related Questions

A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wats to determine how many houses the carrier can deliver in 7.5 minutes at the rate. He thiks that to find the awnsers, he should do the following: 1. Divide 36 houses by 30 to find a unit rate of 1.2 houses per minute 2. Then multiply 1.2 houses per minute minute by 7.5 to get 9 houses.

Answers

Answer:

he interval itself is either correct in its estimate [i.e. the true parameter value is in ... year, and then interviews all students in that class, the sampling method is a ... If the target population is all U.S. adults, then a telephone directory would not

Step-by-step explanation:

will mark brainliest and give 50 points pls help asap tyyy <3

Answers

Answer: 20, -7, and -3

Step-by-step explanation:

`1.) 15 plus 8 is 23

23 minus 3 equals 20

2.) -25 plus 5 equals -20

-20 plus 13 is -7

3.) i can see the last one to show work

The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes.
(a) Find the probability that the time interval between two successive barges is less than 5 minutes.
(b) Find a time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t.

Answers

Answer:

a) 0.4647

b) 24.6 secs

Step-by-step explanation:

Let T be interval between two successive barges

t(t) = λe^λt where t > 0

The mean of the exponential

E(T) = 1/λ

E(T) = 8

1/λ = 8

λ = 1/8

∴ t(t) = 1/8×e^-t/8   [ t > 0]

Now the probability we need

p[T<5] = ₀∫⁵ t(t) dt

=₀∫⁵ 1/8×e^-t/8 dt

= 1/8 ₀∫⁵ e^-t/8 dt

= 1/8 [ (e^-t/8) / -1/8 ]₀⁵

= - [ e^-t/8]₀⁵

= - [ e^-5/8 - 1 ]

= 1 - e^-5/8 = 0.4647

Therefore the probability that the time interval between two successive barges is less than 5 minutes is 0.4647

b)

Now we find t such that;

p[T>t] = 0.95

so

t_∫¹⁰ t(x) dx = 0.95

t_∫¹⁰ 1/8×e^-x/8 = 0.95

1/8 t_∫¹⁰ e^-x/8 dx = 0.95

1/8 [( e^-x/8 ) / - 1/8 ]¹⁰_t  = 0.95

- [ e^-x/8]¹⁰_t = 0.96

- [ 0 - e^-t/8 ] = 0.95

e^-t/8 = 0.95

take log of both sides

log (e^-t/8) = log (0.95)

-t/8 = In(0.95)

-t/8 = -0.0513

t = 8 × 0.0513

t = 0.4104 (min)

so we convert to seconds

t = 0.4104 × 60

t = 24.6 secs

Therefore the time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t is 24.6 secs

a.) we can conclude that probability for the time interval between two successive barges is less than 5 minutes is 46.47%.

b.) the time interval 't' such that we can be 95% sure that the time interval between two successive barges will be greater than 't' is 24.6 secs.

Given to us:

exponential distribution with mean = E(T) = 8,

The mean of the exponential

E(T) = 1/λ

 1/λ = 8

λ = 1/8

∴ [tex]t(t) =\frac{1}{8} \times e^\frac{-t}{8} }\ ;\ [ t > 0][/tex]

(a) The probability that the time interval between two successive barges is less than 5 minutes.

Now the probability we need

[tex]\begin{aligned} \ [T<5] &= \int\limits^5_0 {t(t)} \, dt\\&= \int\limits^5_0 { (\frac{1}{8} \times e^\frac{-t}{8} })dt\\&= \frac{1}{8} \int\limits^5_0 { (e^\frac{-t}{8} })dt\\&= \frac{1}{8} \int\limits^5_0 { (e^\frac{-t}{8} })dt\\\\&= [ \dfrac{(e^\frac{-t}{8})}{\frac{-1}{8}} ]_0^5\\&= - [ e^{-t/8}]_0^5\\&= - [ e^{-5/8} - 1 ]\\&= 1 - e^{-5/8}\\&= 0.4647\end{aligned}[/tex]

So, we can conclude that probability for the time interval between two successive barges is less than 5 minutes is 46.47%.

b)  Now we find t such that;

   

[tex]\begin{aligned} \ &p[T>t]=0.95\\ & \int\limits^{10}_0 {t(t)} \, dt=0.95\\& \int\limits^{10}_0 { (\frac{1}{8} \times e^\frac{-t}{8} })dt=0.95\\& \frac{1}{8} \int\limits^{10}_0 { (e^\frac{-t}{8} })dt = 0.95\\& \frac{1}{8} \int\limits^{10}_0 { (e^\frac{-t}{8} })dt=0.95 \\\\& [ \dfrac{(e^\frac{-t}{8})}{\frac{-1}{8}} ]_0^{10}=0.95\\\\& - [ 0 - e^{-t/8} ] = 0.95&\ \ e^{-t/8} = 0.95\\\end{aligned}[/tex]

taking logs,

t = 24.6 secs

Hence,the time interval 't' such that we can be 95% sure that the time interval between two successive barges will be greater than 't' is 24.6 secs.

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jonalyn has five discs, each with a different counting numbers printed on one face. however , she lost three discs and all she can remember is that the sum of the five numbers is 50 and the number in the two remaining discs are 12 and 9. 1. what is the greatest possible value of one of the numbers? 2. what can be the possible values of the three other numbers?

Answers

Answer:  (1) 26   (2) 1, 3, 25

Step-by-step explanation:

Let a, b, and c represent the three discs.

a + b + c + 12 + 9 = 50

a + b + c = 29

1) Since a, b, and c are all different numbers then the one possibility is:

a = 1, b = 2, --> c = 26

2) There are many different possibilities for creating a sum of three numbers whose total is 29.

One example is provided above in #1.

Here are few other examples:

1, 3, 25               2, 3, 24            3, 4, 19               4, 5, 20

1, 4, 24               2, 4, 23            3, 5, 18               4, 6, 19

1, 5, 23               2, 5, 22            3, 6, 17               4, 7, 18

Using a system of equations, it is found that:

The greatest possible value of one of the numbers is 26.The possible values are all values of x,y and z different of 12 and 9 such that:

[tex]x + y + z = 29[/tex]

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

There are 5 distinct numbers, with a sum of 50, thus they are:

[tex]x + y + z + t + w = 50[/tex]

Two of them are 12 and 9, thus [tex]t = 9, w = 12[/tex], and:

[tex]x + y + z + 9 + 12 = 50[/tex]

[tex]x + y + z + 21 = 50[/tex]

[tex]x + y + z = 29[/tex]

The greatest possible value of one of the numbers is 26, as then one would be 2 and the other 1, having five distinct numbers.The possible values are all values of x,y and z different of 12 and 9 such that:

[tex]x + y + z = 29[/tex]

A similar problem is given at https://brainly.com/question/17096268

Michaela has h hair ties. Michaela's sister has triple the number of hair ties that Michaela has . Choose the expression
that shows how many hair bows Michaela's sister has.
A. H^3

B. 3/H

C. H/3

D. 3H

Answers

Answer:

D

Step-by-step explanation:

Triple means 3 times something. "Times" means multiplication and the "something" is h so the answer is 3 * h = 3h.

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.05 signifcance level to test the claim that such polygraph results are correct less than 80% of the time. Based on the results should polygraph test results be prohibited as evidence in trials? identify the null hypothesis, alternative hypothesis, test statistic, P-value conclusion about the null hypothesis and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution
a. H0:p= 0.80 b. H0:p=0.20
H1:p>0.80 H1: p =/ 0.20
c. H0:p=0.20 d. H0:p= 0.80
H1:p< 0.20 H1: p< 0.80
e. H0: p= 0.20 f. H0: p= 0.80
H1: p>0.20 H1:p =/ 0.80
the test statistic is z=
the P-value is ?

Answers

Answer:

H0:p= 0.80                 H1: p< 0.80  one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80                 H1: p< 0.80  one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237    q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value  does not fall in the critical region  we fail to reject the null hypothesis. There is not sufficient evidence to support  the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z <  -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005  Fail to reject H0.

anyone know this one

Answers

Answer:

A e/f

Step-by-step explanation:

[tex]\frac{-e}{-f} = \frac{e}{f}[/tex]

Two negatives always equal one positive

Recall:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Positive = Positive

C. None of the above.

The correct answer would be -e/f. Remember that fractions are really just division problems and if you divide a negative by a negative the result will be a positive. A helpful trick is to just count the negative signs, if there are an even number the result will be positive, if there are an odd number the result will be negative.

How many planes contain points b, c, and a

Answers

Answer:

let me calculate it

Step-by-step explanation:

and then i will tell you if i can answer it

The points b, c, and a contains 3 planes.

Here,

Given that;

The figure is shown.

We have to find number of planes contains points b, c and a.

What is Planes?

Plane is a flat, two-dimensional surface that extends infinitely far.

Now,

The point b contain planes ABGD, ABCL and BLD.

The point c contain planes ACG, ABLC and CGDL.

The point a contain planes ACLB, ABDG and ACG.

Hence, The points b, c, and a contains three planes.

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Which is the correct pair?

Answers

Answer: D

Step-by-step explanation:

Since we are given that the x value is -1, we can eliminate A and C because the -1 is in the y coordinate.

To find the proper y value, we plug x into the equation.

y=-2x+5                                                 [plug in x=-1]

y=-2(-1)+5                                              [multiply -2 and -1]

y=2+5                                                    [add 2 and 5]

y=7

Now that we have the y value, we know the coordinate (-1,7) which makes D the correct answer.

You and your six friends are eating lunch and decide to split the bill equally. Write an algebraic expression explaining how you will pay the bill.

Answers

x=t/7

x is the cost for each of the friends plus you (me)

t is the total amount of me and my friends

7 is me and my friends

Hope this helps you •з•

Find the number that completes each of the following proportions: a.8120=4c b.n0.5=0.71 c.8x=23 d. 7:6=k:120

Answers

Answer:

a. c = 2030,

b. n = 1.42,

c. x = 2.875,

d. k = 140

Step-by-step explanation:

a ) 8120 = 4c,

c = 8120 / 4 = 2030

b ) 0.5n = 0.71,

n = 0.71 / 0.5 = 1.42

c ) 8x = 23,

x = 23 / 8 = 2.875

d ) 7 : 6 = k : 120

Here we want to convert this ratio into fraction form,

7 / 6 = k / 120

And now we can cross - multiply to determine the value of k,

6k = 7(120) = 840,

k = 840 / 6 = 140

We can check the value of k, by plugging it back into our ratio, and see if it reduces to 7 : 6,

140 : 120,

14 : 12,

7 : 6

What is the domain of this function? ​

Answers

I’m pretty sure the answer is A

2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.24 Calculate: (a) sample range

Answers

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

Super Saver grocery carries a 128 ounce jug of iced tea. The nutrition label states that the jug serves 16 people. Which rate best represents the relationship between the number of ounces of iced tea and the number of servings? F. 8 ounces per serving G. 16 servings per ounce H. 128 ounces per serving J. 8 servings per ounce

Answers

Answer:

I am pretty sure it is J

Step-by-step explanation:

128 divided by 16 equals 8

Answer:

F

8 ounce per serving

Step-by-step explanation:

128 ounce jug of iced tea.

label says = serves 16 people

therefore, the number of ounces per serving = 128 ounce / 16 serving

= 8 ounce per serving

so the answer is option F

what is 8/9 minus 1/3

Answers

Answer: Hi!

Your answer is 5/9.

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 3, and get 24.

Then we multiply 1 by 9, and get 9.

Next we give both terms new denominators -- 9 × 3 = 27.

So now our fractions look like this:

24/27 - 9/27

Since our denominators match, we can subtract the numerators.

24 − 9 = 15

So the answer is:

15/27

(After you simplify it, it will be 5/9.)

Hope this helps!

The value of the expression "8/9 minus 1/3" is 5/9.

To subtract fractions, we need a common denominator. In this case, the least common multiple (LCM) of 9 and 3 is 9.

We can convert both fractions to have a denominator of 9:

(8/9) - (1/3)

Multiplying the numerator and denominator of the first fraction by 3, we get:

(8/9) - (1/3)

This gives us:

8/9 - 1/3

Since both fractions now have a common denominator of 27, we can subtract the numerators:

(8 - 3x 1) / 9

= (8-3)/9

= 5/9.

Therefore, 8/9 minus 1/3 is equal to 5/9.

To learn more about subtraction;

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ANSWER FOR 10 POINTS!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Select option D.

Step-by-step explanation:

Notice the input is n and the output is n+4. This simply means you add 4 to the input value. So,

-3 + 4 = 1

1 + 4 = 5

6 + 4 = 10

Cheers.

What is the solution to the division problem? Enter numbers in the boxes to complete the problem.​

Answers

Answer:52

Step-by-step explanation:

How many times can 8 go into 4. 0 so how many times can 8 go into 41 without going over 41.

8 x 5 = 40

41 - 40 = 1

bring down the next number which is 6

16 how many times can 8 go into 16, 2.

8 x 2 = 16

16 - 16 = 0

Start with the first number inside the division bracket (4). Because 8 can't go into 4, include the second number in the division bracket (1). Because 8 can go into 41 with a whole number, put a 5 above the bracket and subtract the value of 5*8 from 41. You should get 1. Then, bring down the 6 to form 16. Because 8 can evenly go into 16 twice, put a 2 next to the 5 above the bracket. Multiply 2*8 and subtract the value from 16.

Prove the multiple of two consecutive integers is positive

Answers

Answer:

2×3=6

or 6×5=30

Step-by-step explanation:

Theres a lot!

The cross section of rectangular prism A measures 3 units by 2 units. The cross section of triangular prism B has a base that measures 4 units and a height of 3 units. If the length of each prism is 3.61 units, which statement is true? rectangular prism A , with a cross-section that is parallel to its respective basetriangular prism B, with a cross-section that is parallel to its respective base Volume A = one half(Volume B) Volume A = 2(Volume B) Volume A = one third(Volume B) Volume A = Volume B

Answers

Answer:

Volume A = one third(Volume B)

Step-by-step explanation:

I just took the test

Answer:

Volume A = one third(Volume B)

Step-by-step explanattyy

20 girls tried out for the basketball team and 18 boys tried out. What was the ratio of girls to boys who tried out for the team?

Answers

Answer: 10 : 9

Step-by-step explanation:

GIVEN

20 girls tried out

18 boys tried out

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

The final ratio should be girl to boy

 girl to boy

=20 : 18

=10 : 9 ⇔ divide 2 on both sides (simplify the ratio)

Hope this helps!! :)

Please let me know if you have any question


Add the following polynomials (write answers in descending order):
1. (7j9 – 2) + (5j9 - j - 3)

2. (8a - 4) + (3a + a - 2)

3. (6m² + 1) + (3a + a - 2)

4. (3m + 1) + (9m + 3m - 2)

5. (- 5x2 - x + 4) + (- 3x?
5x + 2)

Answers

Answer/Step-by-step explanation:

1. (7j³ - 2) + (5j³ - j - 3)

Open the parentheses

7j³ - 2 + 5j³ - j - 3

Collect like terms. Like terms are terms that have the same degree.

7j³ + 5j³ - j - 2 - 3 (7j³ and 5j³, have the same degree, 2 and 3 are if the same degree)

12j³ - j - 5 (this already in descending order)

2. (8a⁵ - 4) + (3a⁵ + a - 2)

Open parentheses

8a⁵ - 4 + 3a⁵ + a - 2

Collect like terms

8a⁵ + 3a⁵ + a - 4 - 2

12a⁵ + a - 6 (in ascending order from largest to smallest degree)

3. (6m² + 1) + (3a⁵ + a - 2)

6m² + 1 + 3a⁵ + a - 2

Collect like terms

6m² + 3a⁵ + a + 1 - 2

6m² + 3a⁵ + a - 1

Rearrange from largest to smallest degree

3a⁵ + 6m² + a - 1

4. (3m⁵ + 1) + (9m⁵ + 3m - 2)

3m⁵ + 1 + 9m⁵ + 3m - 2

Collect like terms

3m⁵ + 9m⁵ + 3m + 1 - 2

12m⁵ + 3m - 1

5. (- 5x² - x + 4) + (- 3x² - 5x + 2)

Open parentheses

-5x² - x + 4 - 3x² - 5x + 2

Collect like terms

-5x² - 3x² - x - 5x + 4 + 2

-8x² - 6x + 6

does someone know the answer of (-9+v)/8=3

Answers

Hi

(-9+V) /8 = 3

-9/8 +V/8 = 24/8

 -9+V = 24

  V = 24+9

  V = 33

let's check :   -9+33 = 24    and 24/8 = 3

A researcher measures the correlation between the frequency of self-esteem (high,low)and health status (lean/healthy,overweight/obese).Based on the frequencies for each nominal category given below,what is the value of the phi correlation coefficient?img Health status Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18
A) 0.08
B) 0.28
C) 0.52
D) 0.56

Answers

Answer: B) 0.28

Step-by-step explanation:

Given that:

Lean/Healthy Overweight/ ObeseSelf Esteem Low 18 32 High 32 18

                Overweight/Obese      Lean/Healthy               Total

Low          32                                   18                                 50

High         18                                    32                                50

Total         50                                   50                               100

the phi correlation coefficient is defined by Ф = √x²/n

where n = 100 ( total number of response )

x² = [(32×32 - 18×18)² × 100] / [50 × 50 × 50 × 50]

Ф = √ [(700)² x 100) / (50)⁴ × 100

Ф = 700 / 50²

Ф = 0.28

Therefore option B) is the correct answer

describe how to obtain the graph of the transformed function below from its parent function.

Answers

Answer:

shifted horizontally to the right 4 units, then stretched vertically by a factor of "3" , and finally shifted vertically up 6 units.

Step-by-step explanation:

Given the function

[tex]f(x)=\frac{3}{x-4} +6[/tex]

we can say that its parent function

[tex]f(x)=\frac{1}{x}[/tex]

was:

shifted horizontally to the right 4 units (given by the 4 units subtracted from the variable x)

stretched vertically by a factor of "3"

and finally shifted vertically up 6 units.

(2x+(-3))/(4+4)=18/5=

Answers

Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

The weight load on an airplane pallet is normally distributed with a mean of 250 pounds and a standard deviation of 40 pounds. What is the probability that a randomly selected pallet will support more than 290 pounds

Answers

Answer: 0.1587

Step-by-step explanation:

Given : The weight load on an airplane pallet is normally distributed with a mean of 250 pounds and a standard deviation of 40 pounds.

i.e. [tex]\mu = 250[/tex] pounds

[tex]\sigma=40[/tex] pounds

Let x be the weight load on an airplane pallet.

Then, the probability that a randomly selected pallet will support more than 290 pounds will be :-

[tex]P(X>290)=P(\dfrac{X-\mu}{\sigma}>\dfrac{290-250}{40})\\\\=P(Z>1)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\\\\=1-0.8413\ \ \ \ [\text{by z-table}]\\\\=0.1587[/tex]

Hence, the required probability is 0.1587 .

Translate the figure 4 units right and 2 units up.
Draw a vector from the origin 4 units right and 2 units up.

Answers

Answer:

Hey there!

The correct answer would be a line from the point (0, 0) to the point (4, 2).

Let me know if this helps :)

(Branliest!) Edith uses the greatest common factor and the distributive property to rewrite this sum: 32 + 24 Which expression does Edith write? A. 2(16+12) B. 2(30+22) C. 8(4+3) D. 8(24+16)

Answers

Answer:

A. 2(16 + 12)

Step-by-step explanation:

If we look at choice A, it says 2 times 16 + 12.

When we solve this, 2 × 16 = 32 + 2 × 12 = 24, we get 32 + 24 because we used the distributed property on answer A.

The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

Given that;

The expression is,

⇒ 32 + 24

Now,

The greatest common factor of 32 and 24 = 8

So, We can take 8 as common factor, we get;

⇒ 32 + 24

⇒ 8 x 4 + 8 x 3

⇒ 8 (4 + 3)

Thus, The correct statement will be;

⇒ 8 (4 + 3)

Option C is true.

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solve | − 9 | − | − 4 | =

Answers

Answer: 5

Step-by-step explanation:

First of all, keep in mind that absolute value of any real number (positive and negative) is always positive because it stands for the distance from zero, and distance will never be negative.

         i.e. |x|=x, |-x|=x

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

 |-9|-|-4|

=9-4

=5

Hope this helps!! :)

Answer:

[tex]\huge \boxed{5}[/tex]

Step-by-step explanation:

[tex]|-9|-|-4|[/tex]

Apply rule : [tex]|-a|=a[/tex]

[tex]9-4[/tex]

Subtract.

[tex]=5[/tex]

the population of butterflies in a particular place is 50. if population increases by 20% in every 6 months . find out the population of butterflies after 1 year

Answers

Answer:

butterflies (b)=50

butterflies in 6 months =20/100×50=10+b =60

butterflies in 12 months =2(6months)

butterflies in 12 months= 120

The population of butterflies after 1 year is 72 butterflies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the present population of butterflies be A = 50 butterflies

The percentage increase after 6 months = 20 %

The population of butterflies after 6 months = present population of butterflies + percentage increase after 6 months

The population of butterflies after 6 months = 50 + ( 20/100 ) x 50

                                                                         = 50 + ( 0.2 x 50 )

                                                                         = 50 + 10

                                                                         = 60 butterflies

The population after 6 more months =  population of butterflies after 6 months + percentage increase after 6 months

The population after 6 more months =  60 + ( 20/100 ) x 60

                                                              = 60 + 0.2 x 60

                                                              = 60 + 12

                                                              = 72 butterflies

Hence , The population of butterflies after 1 year is 72 butterflies

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