Vickie buys a pack of 30 folders. She keeps 15 for herself and divides the rest between three of her friends. Which equation will help us find the number of folders each friend gets? *

Answers

Answer 1

Answer: 30 folders - 15 folders which she keeps = 15 folders; 15 folders / 3 friends = 5 folders per firend.

Step-by-step explanation:

Answer 2

Answer:

x= (30 -15)/3

Step-by-step explanation:

Number of folders = 30Kept for herself = 15 foldersDivided = the reminderNumber of friends= 3Each friend gets= ?

If we call x the number each friend gets, then the equation is:

x= (30 -15)/3

Solving this we get:

x= 5

Each friend gets 5 folders


Related Questions

Which shapes have the same volume as the given rectangular prism?

Answers

A cylinder because of the volume of the rectangular prism.

What is 62 in expanded form?
A. 2 x 2 x 2 x 2 x 2 x 2
B. 6 x 6
C. 12
D. 36

Answers

Answer:

I think so you meant to write 62 as 6^2

If this is the question , then the answer is 6 x 6

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

B. 6 × 6

Step-by-step explanation:

The square of a number means that the number is multiplied by itself.

6 × 6 (expanded form)

find P (3) if p(x)=-×^3-2x^2+7​

Answers

Answer:

-38.

Step-by-step explanation:

p(x) = -x^3 - 2x^2 + 7

p(3) = -(3^3) - 2(3^2) + 7

p(3) = -27 - 2(9) + 7

p(3) = -27 - 18 + 7

p(3) = -45 + 7

p(3) = -38

Hope this helps!

Answer:

p(3) = -38

Step-by-step explanation:

p(x) = -x³ - 2x² + 7

p(3) = -3³ - 2(3)² + 7

p(3) = -27 - 2(9) + 7

p(3) = - 27 - 18 + 7

p(3) = -38

Find the perimeter and total area ? Use 3.14 in

Answers

Answer:

Perimeter is when you add up all of the sides, and the area is when you multiply length times width.

The table shown lists the atomic weight of the elements that begin with the letter c. What's the range of these

atomic weights?

Review My Answers

Save & EVE

No. Atomic Weight Name 48112411 2040078 98251000

Cadmium cd Calcium Ca Californium Cf Carbon Cerium Ce Cesium Cs Chlorine C Chromium Cr Cobalt Co Copper Cu Curium Cm

6 12.011 58140116 55132906 1735453 2451996 2758933 2963546 96 *247.00

A. 215.547

B. 238.989

C. 234.989

D. 134.589

Answers

Maalum hai Lekin tumko nahi bataenge

Value of the digit 5 in 75 389

Answers

Answer:

The value of digit 5 is thousand

Step-by-step explanation:

Digit 5 has thousand value in 75 389

Which of the following is false? Correlation coefficient and the slope always have the same sign (positive or negative). If the correlation coefficient is 1, then the slope must be 1 as well. If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them. Correlation measures the strength of linear association between two numerical variables.

Answers

Answer:

If the correlation coefficient is 1, then the slope must be 1 as well.

Step-by-step explanation:

Coefficient of correlation is used in statistics to determine the relationship between two variables. Correlation coefficient and slope always have same sign. It measures the strength of linear relation between two variables. The values of correlation coefficient ranges between 0 to 1. where 0 determines that there is no relationship between two variables.

If the correlation coefficient is 1, then the slope must be 1 as well.

The correlation coefficient (ρ) is a measure that determines the degree to which the movement of two different variables is associated.

Correlation coefficient and the slope  both quantify the direction and strength of the relationship between two numeric variables. When the correlation (r) is negative, the regression slope (b) will be negative. When the correlation is positive, the regression slope will be positive.If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them.

So, the false statement is:

If the correlation coefficient is 1, then the slope must be 1 as well.

Learn more:https://brainly.com/question/16557696

If a person invests $190 at 8% annual interest, find the approximate value of the investment at the end of 10 years.

Answers

Answer:

$420

Step-by-step explanation:

This the problem of compound interest

If any amount P is invested at rate of r% per year then its value after n years is given by

amount = [tex]p( 1+ r/100)^n[/tex]

______________________________

Given

p = $190

r =8%

n = 10 year then

[tex]amount = p( 1+ r/100)^n\\=> amount = 190( 1+ 8/100)^10\\=> amount = 190( 108/100)^10\\=> amount = 410.20[/tex]

Thus, value of the investment at the end of 10 years is $420.

Answer: 342

Step-by-step explanation:

This is a SIMPLE INTEREST question:

SI = prt

SI = 190 x 0.08 x 10

SI = 152

Amount = 190 + 152 = 342

Find [g ° h](x) and [h ° g](x) , if they exist. g(x)=x+6 and h(x)=3x2 YALL PLEASE I NEED HELP :((

Answers

Answer:

a) [g ° h](x)  = 3x² +6

b) [h ° g](x) =3 x²+36x+108

Step-by-step explanation:

Explanation:-

a)

Given g(x) = x+6 and h(x) = 3x²

Given [g ° h](x) = g(h(x))

                          = g(3x²)       (∵ h(x) =3x²)

                         = (3x²)+6      (∵ g(x) =x+6)

∴ [g ° h](x)  = 3x² +6

b)

Given [h ° g](x) = h (g(x))

                          = h(x+6)     (∵ g(x) =x+6)

                         = 3 (x+6)²    (∵ h(x) =3x²)

                         = 3 (x²+2(6)x+36)    (∵ (a + b)² = a²+2ab+b²)

                         = 3 (x²+12x+36)

                        = 3 x²+36x+108)

     ∴ [h ° g](x) =3 x²+36x+108

If a carpenter nails a 15-ft brace to the wall 9 feet above the floor, how far (in ft) from the base of the wall should he nail the brace to the floor? ___________________________________ ft.

Answers

Answer:

c = 12ft

Step-by-step explanation:

Given that the wall is 9ft from the ground.

Brace nailed to the wall is 15ft.

Note that the brace to the wall will be slant hence it will look like the hypotenus side of a triangle.

The question requires the solution to the distance from the base of the wall to the brace.

Note from Pythagoras theorem

a^2 = b^2+c^2

Where a = 15ft

b = 9ft

Hence, from the base of the wall, the brace will be nailed 9ft

c = ?

15^2 = 9^2+c^2

225 = 81+c^2

225-81 = c^2

144 = c^2

c =√144

c = 12ft

Select all the correct answers.

Which three pieces of information contribute the most to your credit score?

the number of bank accounts you have

the amount of debt you have

your payment history

your ability to make a down payment on a credit purchase

the number of loans you have

W

Answers

Answer:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

Step-by-step explanation:

To determine the three pieces of information that contribute the most to your credit score, we have to find the factors that affect credit score calculation.

The major factors that affect a person's credit score calculation include : Payment history:

This is the most important factor that affect your credit score. Lenders want to be sure that you have a reputation back your debt and on time when you apply for new credit.

Amount of Debt :

This is the amount of overall debt you carry. It is the ratio of your credit card balances to your credit limit. Too much debt can hurt your credit score

Credit History:

This is a borrower's track record for repaying debts and how old it is. Opening new accounts within a short time will affect your credit score.

Account Mix: having a diverse portfolio of credit accounts could tell how well you manage different credits.

Credit Inquiries:

Several applications involving inquiries into your credit check within a short duration can affect your credit score.

Therefore the three pieces of information that would contribute the most to your credit score:

B) the amount of debt you have

C) your payment history

E) the number of loans you have

-4(-11+4n)-3(-2n+9) simplify to create an equivalent expression

chose 1 answer

-10n-35, -18n+17, -10n-17, or -10n+17

Answers

Answer:

the last one is correct

Step-by-step explanation:

hello,

-4(-11+4n)-3(-2n+9) = 44 - 16n + 6n - 27 = -10n + 17

hope this helps

Two particles travel along the space curves r(t) and u(t). A collision will occur at the point of intersection if both particles are at P at the same time. (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.)
r(t) = t^2i + (9t - 20)j + t^2k u(t) = (3t + 4)i + t^2j + (5t - 4)k point of intersection (x, y, z) =
1. Do the particles collide?
a. Yes
b. No
2. Do their paths intersect?
a. Yes
b. No

Answers

Answer:

Point of intersection (x, y, z) = (16, 16, 16)

1. a. Yes

2. a. Yes

Step-by-step explanation:

In order for the particles to colide (and therefore have their paths intersect), the values for the i, j, and k coordinates must be equal for a given 't':

For the i coordinate:

[tex]i_{r(t)} =i_{u(t)}\\t^2=3t+4\\t=\frac{3\pm\sqrt{9-4*1*(-4)} }{2}\\t=4\ or\ -1[/tex]

For the j coordinate:

[tex]j_{r(t)} =j_{u(t)}\\9t-20=t^2\\t=\frac{9\pm\sqrt{81-4*1*20} }{2}\\t=4\ or\ 5[/tex]

For the k coordinate:

[tex]k_{r(t)} =k_{u(t)}\\t^2=5t-4\\t=\frac{5\pm\sqrt{25-4*1*4} }{2}\\t=4\ or\ 1[/tex]

As we can see, for t =4, both paths have the same coordinates and therefore they intersect and the particles will colide.

[tex]r(4) = 4^2i + (9*4 - 20)j + 4^2k \\r(4)=16i+16j+16k\\u(4) = (3*4 + 4)i + 4^2j + (5*4 - 4)k\\u(4)=16i+16j+16k[/tex]

Point of intersection (x, y, z) = (16, 16, 16)

Find the equation of a line perpendicular to 4x+2y=3 that contains the point (1,5)

Answers

Answer:

  x -2y = -9

Step-by-step explanation:

We can start by swapping the coefficients of x and y, then negating one of them. We can finish by evaluating the expression at the given point to find the constant.

  2x -4y = constant

  2(1) -4(5) = -18 = constant

So, an equation could be ...

  2x -4y = -18

We notice that all of the coefficients of this equation are divisible by 2, so we can remove a factor of 2 from the equation:

  x -2y = -9

–735 = 15(m + 929) m = _______

Answers

Answer:

-978

Step-by-step explanation:

1.) Use Distributive property (by multiplying 15 by the values in parentheses): -735=15m + 13935

2.) Subtract 13,935 on both sides, to move that value to the left side, to further  isolate the variable m.

-735-13935=15m + 13935 - 13935

3.)-Simplify/Combine Like Terms

-14,670=15m

4.) Divide both sides by 15 to isolate and solve for m

-14,670/15=15m/15

5.) Simplify

-978=m    

6.) Rearrange so m is on left side and value is on right side

m=-978

please help me out asap

Answers

Answer:

SOLUTION SET={x<-3/2   or   x≥48/5} option A

Step-by-step explanation:

12x+7<-11                           and            5x-8≥40

solving the both inequalities

12x+7-7<-11-7                     and             5x-8+8≥40+8

12x<-18                              and              5x≥48

12x/12<-18/12                     and               5x/5≥48/5

x<-3/2                                and               x≥48/5

SOLUTION SET={x<-3/2   or   x≥48/5}

i hope this will help you :)

Need Help ASAP!!!
Which of the following is a key property of the linear parent function?
O A. It is in quadrants I and III.
B. It does not go through the origin.
C. It has a slope of zero.
O D. It is a curved line.

Answers

Answer:

The answer is:

A. It is in the quadrants I and III.

Step-by-step explanation:

I am not sure if this is correct, but I tried my best :)

I hope this helped~

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:

D. No solution

Step-by-step explanation:

Instead of solving everything I just plugged the numbers on equations and saw that for some of them the numbers satisfied one or two equation but not all.  Also for some I saw that a number set makes the equation have no solution. For eg, I plugged option B into equation 3 and got 1305=756 which is never true so it is no solution.

Hope you understand :)

Use the addition method to solve the system of linear equations for x. (Enter an exact number.)
3x - 2y = 8
2x + y = 3​

Answers

Answer:

work is shown and pictured

x = 16 18 34 can someone explain please?

Answers

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) * 2 = 6^2

2(x+2) = 36

Divide each side by 2

x+2 = 18

Subtract 2

x+2-2 = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

According to tangent-secant Theorem:

(Tangent)² = (External Part of the secant)(Whole Secant)

(6)² = (2)(2+x)

36 = 4+2x

Subtracting 4 from both sides

36-4 = 2x

=> 2x = 32

Dividing both sides by 2

=> x = 16

Which statement best interprets the factor (r+7) in this context?

Answers

Answer:

  the height of the cylinder is 7 units greater than the radius

Step-by-step explanation:

When you match the forms of the equations ...

  [tex]V=\pi r^2(r+7)\\V=\pi r^2h[/tex]

you see that the factor (r+7) corresponds to the height (h) of the cylinder. That is ...

  the height of the cylinder is 7 units greater than the radius.

You take a multiple choice test that you are not prepared for, so you have to guess on all twenty questions. The probability that you guess correctly on any given question is 20% (since there are five choices on each question). What is the probability that you are able to guess ten or more correct answers? You must show correct inputs to either binompdf or binomcdf to receive credit.

Answers

Answer:

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Step-by-step explanation:

This can be modeled by a binomial random variable, with sample size n=20 and probabillity of success p=0.2.

The probability of getting k answers right can be calculated as:

[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.2^k\cdot0.8^{20-k}[/tex]

Now, we have to calculate the probabiltiy that 10 or more answers are correctly answered guessing. This is P(x≥10).

[tex]P(x\geq10)=P(x=10)+P(x=11)+P(x=12)+P(x=13)+P(x\geq14)[/tex]

Note: the expression is simplified for x≥14 because we know the additional probability is less than 0.00005.

[tex]P(x=10)=\dbinom{20}{10}\cdot0.2^{10}\cdot0.8^{10}=184756\cdot0.0000001\cdot0.1074=0.0020\\\\\\P(x=11)=\dbinom{20}{11}\cdot0.2^{11}\cdot0.8^{9}=167960\cdot0.00000002\cdot0.1342=0.0005\\\\\\P(x=12)=\dbinom{20}{12}\cdot0.2^{12}\cdot0.8^{8}=125970\cdot0\cdot0.1678=0.0001\\\\\\P(x=13)=\dbinom{20}{13}\cdot0.2^{13}\cdot0.8^{7}=77520\cdot0.000000001\cdot0.2097=0.0000\\\\\\P(x\geq14)=0.0000[/tex]

[tex]P(x\geq10)=0.0020+0.0005+0.0001+0.0000+0.0000=0.0026[/tex]

The probability that you are able to guess ten or more correct answers is P(x≥10) = 0.0026

Please answer this correctly

Answers

Answer:

1/2

Step-by-step explanation:

The numbers that are 6 or even on the cards are 2, 4, and 6.

3 cards out of a total of 6 cards.

3/6 = 1/2

Answer:

1/2 chance

Step-by-step explanation:

There are 3 numbers that fit the rule, 2, 4, and 6. 3/6 chance of picking one or 1/2, simplified.

Suppose you draw a single sample of size 64 from a large population and measure its sample proportion. What is the margin of error for 95% confidence?

(a) 5% (b) 6.25% (c) 12.5% (d) 95%

Answers

Answer:

(b) 6.25%

Step-by-step explanation:

Margin of error is the chances of percentage deviation that may differ from original population data. The margin of error for 95% confidence interval can be 6.25%. To find this we divide population standard deviation with square root of sample size. The margin of error is the estimate of the deviation from actual and real value of population.

this circle is centered at the origin (0,0) the radius is 4, what is the equation?

Answers

Answer:

x^2   +y^2 = 16    

Step-by-step explanation:

The equation of a circle is given by

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0) ^2 + (y-0)^2 = 4^2

x^2   +y^2 = 16        

write your answer without using negative exponents (u^4)^-7

Answers

Answer:

[tex] \frac{1}{ {u}^{28} } [/tex]

solution,

[tex] {(u}^{4} \: )^{ - 7} \\ = {(u)}^{4 \times ( - 7)} \\ = {(u)}^{ - 28} \\ = \frac{1}{ {u}^{28} } [/tex]

Hope this helps...

Good luck on your assignment..

Gregoire sold 24 cars to his friend for $71.76. What was the price per car?
a. $47.76
b. $2.99
c. $17.22
d. $3.25​

Answers

Answer:

2.99

Step-by-step explanation:

Take the total cost and divide by the number of cards

71.76/24 = 2.99

The cost per car is 2.99

Answer:

b. $2.99.

Step-by-step explanation:

To get the price per car, you get the total price divided by the total number of cars.

That would be 71.26 / 24 = 2.969166667, which is most close to b. $2.99. Those are some cheap cars!

Hope this helps!

Compare the distributions using either the means and standard deviations or the five-number summaries. Justify your choice. Set A Set B The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.2. The mean for Set B is about 42.8 with standard deviation of about 1.86. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set A’s low temperatures have a greater variability than Set B temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set B is about 41.56 with standard deviation of about 6.07. The mean for Set A is about 43.8 with standard deviation of about 14.8. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set A means that Set A’s low temperatures have a greater variability than Set B temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.4. The mean for Set B is about 41.5 with standard deviation of about 6.7. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set B’s low temperatures have a greater variability than Set A temperatures. The distributions are symmetric, so use the means and standard deviations. The mean for Set A is about 44.6 with standard deviation of about 6.2. The mean for Set B is about 43.8 with standard deviation of about 14.8. While the average low temperatures for the cities are approximately equal, the greater standard deviation for Set B means that Set B’s low temperatures have a greater variability than Set A temperatures.

Answers

Answer:

Explained below.

Step-by-step explanation:

The question is:

Compare the distributions using either the means and standard deviations or the five-number summaries. Justify your choice.

Set A: {36, 51, 37, 42, 54, 39, 53, 42, 46, 38, 50, 47}

Set B: {22, 57, 46, 24, 31, 41, 64, 50, 28, 59, 65, 38}

The five-number summary is:

MinimumFirst Quartile Median Third Quartile Maximum

The five-number summary for set A is:

Variable   Minimum       Q₁         Median        Q₃         Maximum

  Set A       36.00       38.25        44.00       50.75        54.00

The five-number summary for set B is:

Variable   Minimum       Q₁         Median        Q₃         Maximum

 Set B         22.00      28.75        48.00       58.50         65.00

Compute the mean for both the data as follows:

[tex]Mean_{A}=\frac{1}{12}\times [36+51+37+...+47]=44.58\approx 44.6\\\\Mean_{B}=\frac{1}{12}\times [22+57+46+...+38]=44.58\approx 44.6[/tex]

Both the distribution has the same mean.

Compare mean and median for the two data:

[tex]Mean_{A}>Median_{A}\\\\Mean_{B}>Median_{B}[/tex]

This implies that set A is positively skewed whereas set B is negatively skewed.

Compute the standard deviation for both the set as follows:

[tex]SD_{A}=\sqrt{\frac{1}{12-1}\times [(36-44.6)^{2}+...+(47-44.6)^{2}]}=6.44\approx 6.4\\\\SD_{B}=\sqrt{\frac{1}{12-1}\times [(22-44.6)^{2}+...+(38-44.6)^{2}]}=15.56\approx 15.6[/tex]

The set B has a greater standard deviation that set A. Implying set B has a greater variability that set B.

Use the box-and-whisker plot below to identify the lower quartile, upper quartile, and interquartile range of the
data set the plot represents.
37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
A lower quartile - 38, upper quartile = 47. interquartile range = 9
B lower quartile = 45, upper quartile -50, interquartile range = 5
cu lower quartile 47 upper quartile = 53, interquartile range 6
D. lower quartile = 45, upper quartile = 47. interquartile range = 2

Answers

Answer:

The answer should be B.

The lower quartile is the one that is  45, the upper quartile is the one on 50, and the interquartile range is the difference between upper and lower quartile, which is 5.

Hope this helps!



























A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by the x-axis and the base of the house is at the origin. There are two trees on the property. One tree is 8 feet from the base of the house and is 14 feet tall. The other tree is 16 feet from the base of the house and is 9 feet tall. What is the distance from the base of the house to the closest treetop? Round your answer to the nearest tenth.

Answers

Answer:

15.81

Step-by-step explanation:

Sorry for the delay

Other Questions
On a system with paging, a process cannot access memory that it does not own. Why? How could the operating system allow access to other memory? Turn on Write equation. What you see is an equation that shows the original uranium atom on the left. The boxes on the right represent the daughter productthe atom produced by radioactive decayand the emitted alpha particle. translate into an algebraic expression: x is increased by 50% and decreased by 30% . What is the result? Read the excerpt from 'A Quilt of a Country."Which statement best summarizes the central idea ofthis paragraph?What is the point of this splintered whole? What is thepoint of a nation in which Arab cabbies chauffeurJewish passengers through the streets of New York -and in which Jewish cabbies chauffeur Arabpassengers, too, and yet speak in theory of hatred,one for the other? What is the point of a nation inwhich one part seems to be always on the verge offisticuffs with another, blacks and whites, gays andstraights, left and right, Pole and Chinese and PuertoRican and Slovenian? Other countries with suchdivisions have in fact divided into new nations withnew names, but not this one, impossibly interwoveneven in its hostilitiesAmerica's cultural differences have caused it tofractureAmerica is a united country despite its culturaldifferencesAmerica's cultural differences make it impossible tolive peacefullyAmerica is always on the verge of civil unrest due toits multicultural citizens. 3^x+x=17solve for x Susan works for a salary of $3,600 per month. She has federal income tax withheld at the rate of 15%, Social Security tax at the rate of 6.2%, Medicare tax at the rate of 1.45%, and health insurance premiums of $48 per month. Susan also contributes to a savings plan. Each month, 2% of her gross pay is placed in the plan. which event was a consequence of the enlightment PLEASEEE HELP1 What is the order of this from least to greatest. 4.37, 5.844, 5 21/25,117/20 Find mA. 46B. 23C. 69D. 167 A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere where the radius is 6 m. (Round to the nearest tenth) Escriba oraciones completas usando el pretrito del verbo y los pronombres de objeto directo e indirecto. Siga el modelo. MODELO: (Yo) traer / la msica / a mi hermano Se la traje. 1) (Yo) mandar / las invitaciones / a la familia _________. 2) (Sandra) comprar / pelotas / a los perros __________. 3) (Mi madre) dar / los jugos / a los menores ___________. 4) (Mis primos) preparar / comida vegetariana / a ti ___________. 5) (La abuela) comprar / un regalo / a m ___________ A pet store has 32 more dogs than cats. If there are a total of 144 dogs and cats altogether, then how many cats does the pet store have?PLZ ANSWER ASAP THANKS Before the family entered the salt cavern, Father said they had to A. Purify the foul and stinking air.B. Agree upon a distress call in case one of them became injured.C. Allow the animals to enter first.D. Find timbers with which to fortify the unstable ceiling.(15 points) A piece of aluminum with a mass of 100.0 g has a temperature of 20.0C. It absorbs 1100 J of heat energy. What is the final temperature of the metal? 8 of 8Find the product of 505 and 68 Complete the following passage with the words in the box Ma maisonVoici maDans ma maison onmaison Elle a t construite enborin unpeut trouver uneunede bains et une coucher. Dans la cuisine il y a uneDans le salon il y aune_; dans la salle de bains il y a unet dans la chambre coucher il y a aussi un_. J'aime bien ma maison.brique, table centrale, salon, maison, salle, drap, bouteille de gaz,cuisine, chambre, ponge The graphs show the distances traveled by two people walking at constant rates. Drag to the table the unit rate that matches each graph. in one or two sentence, summarize the environmental policy of each president. George w. bush Barack Obama A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 30 batteries of each type. Required:a. How many ways can a total inventory of 30 batteries be distributed among the eight different types.b. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inventory must include at least four A76 batteries? c. How many ways can a total inventory of 30 batteries be distributed among the eight different types if the inventory includes at most three A7b batteries? Which set of steps shows the solution to the equation 3y = -9?Oy=-9-3; y = 6Oy=-9 = 3; y = -3Oy= -9 +(-3); y = 3Oy = -9 -(-3); y = -6