Jackson has 180 pieces of gum. He wants to share the pieces equally with his friends. Which table shows the relationship between n, the number of people who received gum, and p the number of pieces of gum each person receives?

"Vertically" probably refers to stacking the polynomials on top of each other and aligning them at equal powers of x. So kind of like what you might do when adding two numbers with more than 1 digit each.

For example, the sum 123 + 456 can be computed by adding digits in the same digits place:

… 1 2 3

+ 4 5 6

… 5 7 9

Then for this sum, you have

… - 3x ²  - 6x   + 8

+    8x ² + 7x   - 14

…   5x ²  + x    - 6

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

brainly.com/question/22091903

#SPJ2

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

Learn more about area  from

https://brainly.com/question/25292087

#SPJ2

Answer:

Step-by-step explanation:

12 + 5 = 17

square root of 9 = 3

5 x 4 = 20

Answer:

angle O = 36 degrees

angle N = 54 degrees

Step-by-step explanation:

90 degrees = angle O and N

2a + 18 + 5a + 9 = 90

7a + 27 = 90

7a = 63

a = 9

2(9) + 18 = 36 degrees

5(9) + 9 = 54 degrees

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

Answer:

8 or D

Step-by-step explanation:

I say this because AD is 8 so im thinking it should be parallel and so the same would be for the opposite, AE.

Answer:

x = 5.85

Step-by-step explanation:

Given that,

One angle = 26°

Middle angle = 90°

Third angle = 180-(90+26) = 64°

Height, H = 12

We need to find the value of x. Using trigonometry to find it such that,

[tex]\tan64=\dfrac{12}{x}\\\\x=\dfrac{12}{\tan(64)}\\\\x=5.85[/tex]

So, the value of x is equal to 5.85.

Answer:

5.9

Step-by-step explanation:

im doing this rn

Answer:

x^2/3

Step-by-step explanation:

(x^4/3 × x ^2/3)^ 1/3

According to laws of indices powers are added if the base is same,

[x^(4/3 + 2/3) ] ^1/3

= (x ^ 6/3 ) ^ 1/3

= (x² )^ 1/3

= x ^ 2/3

Answer:

Step-by-step explanation:

The side opposite to the angle 30 degree in right triangle is half of hypothenuse.

9514 1404 393

Answer:

  g = 12

Step-by-step explanation:

You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:

  (g -12)² = 0

The only solution is the one that makes the squared term equal to zero:

  g -12 = 0

  g = 12

_____

The square of a binomial is ...

  (a +b)² = a² +2ab +b²

Here, we have a=x, b=-12.

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

Answer: The length of each side of the tiles is 7.2 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Answer:

14 square units

Step-by-step explanation:

Equation:

Area of a triangle = h*b/2

Variables:

h = 4 units

b = 7 units

Solve:

h*b/2

= 4 units * 7 units /2

= 14 square units

Please mark brainliest if this helped!

Answer:

Y = 4x +2

substitute Y into the second equation

-6x +2[4x +2] =8

-6x +8x +4 =8

collect like terms

-6x +8x =8-4

2x=4

x=2

Substitute (x=2) into the first equation

Y= 4(2) +2

Y= 8+2

Y= 10

Answer:

C) CA=40

Step-by-step explanation:

2y/(2y+4)=(2y+6)/4y

cross multiply

8y²=4y²+20y+24

4(2y²)=4(y²+5y+6)

divide both sides by 4

2y²=y²+5y+6

y²-5y-6=0

(y-6)(y+1)=0

So the answer must be either 6 or -1.  Since it can't be a negative number, it must be 6.

CA=2(6)+4+4(6)

CA=12+4+24

CA=40

(highest) -(lowest)

17-10

=7

Answer:

The answer is approximately 3.

Step-by-step explanation:

You add all the numbers and then divide by 10

The approximate hold time for all customers who call the customer service department is 3 minutes.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

For the given situation,

The department receives about 850 calls each hour.

The data set shows the hold time, in minutes, for 10 calls picked at random. 2,1,4,5,3,3,7,4,3,2.

The approximate hold time for all customers who call the customer service department is calculated by mean as

⇒ [tex]\frac{sum of number of data sets}{Total number of data sets}[/tex]

⇒ [tex]\frac{2+1+4+5+3+3+7+4+3+2}{10}[/tex]

⇒ [tex]\frac{34}{10}[/tex]

⇒ [tex]3.4[/tex] ≈ [tex]3[/tex]

Hence we can conclude that the approximate hold time for all customers who call the customer service department is 3 minutes.

Learn more about mean here

https://brainly.com/question/24130817

#SPJ2