in the proportion a/b=c/d and bc are the

He can make 8 party package and each package consists 4 pencils and 7 lollipops with 32 pencils and 56 lollipops .

To determine the greatest number of identical packages possible we have to determine the highest common factor of two given no. , 32 and 56

Let's determine the factors of the 32 and 56 ,

32 = 2 × 16 = 2 × 2 × 2 × 2 × 2

56 = 2 × 2 × 2 × 7

So , common factors are 2 , 2 ,2

Now , The HCF is , 2 × 2 × 2 = 8

So , total combination is 8 and in each combination , there is 4 pencils  ( 32 / 8 = 4 )and 7 ( 56/8 = 7 ) lollipops .

To know more about HCF visit ,

https://brainly.com/question/17437347?referrer=searchResults

#SPJ4

Answer: The answer is A) - 9/5, because the slope of the line is decreasing/going downward indicating that the slope is negative. The slope of the line is steep, and so the rise should be more the run.

Step-by-step explanation: hope this helps!!!!!!

The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

The arithmetic sequence is given as:

1, .25, blank, -1.25, blank

Replace the blanks in the arithmetic sequence with x and y

So, we have:

1, .25, x, -1.25, y

An arithmetic sequence has a common difference (d)

The common difference is calculated using

d = T2 - T1

So, we have

d = 0.25 - 1

d = x - 0.25

d = y + 1.25

Substitute d = x - 0.25 in d = 0.25 - 1

x - 0.25 = 0.25 - 1

This gives

x = 0.25 + 0.25 - 1

Evaluate the sum

x = -0.5

Substitute d = 0.25 - 1 in d = y + 1.25

0.25 - 1  = y + 1.25

This gives

y = 0.25 - 1 - 1.25

Evaluate

y = -2

Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

Read more about arithmetic sequence at

https://brainly.com/question/6561461

#SPJ1

If the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

A set of 10 scores has SS = 90.

The formula in getting the population variance is

σ² = SS / N

where SS is the sum of squared deviation and N  is the number of population.

Therefore, the population variance is

σ² = 90 / 10

σ² = 9

The formula in getting the sample variance is

σ² = SS /( n - 1)

where SS is the sum of squared deviation and n is the number of samples.

Therefore, the sample variance is

σ² = 90/ (10 - 1)

σ² = 90 / 9

σ² = 10

Therefore, if the scores are a sample, the sample variance is 10, and if the scores are a population, the population variance is 9.

Learn more about the variance here:

https://brainly.com/question/5518024

#SPJ4

The solution is Mean = 3.25 for the given distribution's mean and its type of skew.

A list of values, such as measurements or numbers, is used to calculate it by dividing the total number of values in the list by the total number of values in the list. Add up each value in the set to determine the mean. Next, divide the total by the number of values.

based on the facts provided;

Step 1: Presented data:

4.5, 3, 1, 2, 4, 3, 6, 4.5, 4, 5, 2, 1, 3, 4, 3, 2

Step 2:

Sum of the numbers

         = 4.5 + 3 + 1 + 2 + 4 + 3 + 6 + 4.5 + 4 + 5 + 2 + 1 + 3 + 4 + 3 + 2

         = 52

Sum of the numbers = 52

Number of terms = 16

Step 3:

Mean=sum of the number/number of term

         =52/16

          = 3.25

Mean = 3.25

Mean of the distribution is 3.25.

to know more about Mean visit;

https://brainly.com/question/12789483

#SPJ9

Answer:

A. E negitive

Step-by-step explanation:

Answer: x is alys a step behind y so you can make ech difrints by moltapling to ech step

Step-by-step explanation:

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

More details : brainly.com/question/16283887

#SPJ9

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

Let, the total number of marbles Andy have in the bad in beginning = x

One third of the marbles rolled down the slope too quickly for Andy to pick them up. So we can write,

Total number of marbles Andy have now = x - (x/3)

One sixth of all the marbles disappeared into the rain-water drain. So, So we can write,

Total number of marbles Andy have now = x - (x/3) - (x/6) = (x/2)

Half of the marbles that remained nearby were picked up by other children who ran off with them. So, we can write

Total number of marbles Andy have now = (x/2) - (x/4) = (x/4)

Andy gave one third of these to Sam for helping him pick them up. So,

Total number of marbles Andy have now = (x/4) - (x/12) = (x/6)

Now, we have given that Andy have 14 marbles in the end in his pocket. On comparing it with above equation, we get

(x/6) = 14

⇒ x = 84

The total number of marbles that were there in Andy's bag before the bottom split are 84 marbles.

To know more about Solving Quadratic equations refer to the link:

https://brainly.com/question/18117039

#SPJ4

Answer:

$98.14

Step-by-step explanation:

150.99 x 0.35. Subtract answer from total to get final price.

The answer for this equation would be f = 86

Answer:

area is side multiplied by side

Step-by-step explanation:

162 divided by 2x

The simplified form of the expression is -m-2n+10

Linear equation are equation that has a linear degree of 1. Given the following expression

-3m+7-2n+3-m+3m

Collect the like terms

-3m+3m-m-2n+7+3

-m - 2n +  7 + 3

Simplify to finally have:

-m-2n+10

Hence the simplified form of the expression is -m-2n+10

Learn more on simplifying linear equation here: https://brainly.com/question/28293715

#SPJ1

Answer:

82 + 0.6h = 85           and          h = 5

Step-by-step explanation:

hours = h

82 + 0.6h = 85

85 - 82 = 0.6h

3 = 0.6h

3/0.6 = h

h = 5

Answer:

18

Step-by-step explanation:

Congruent means same size and shape

So if the first one was 18 by 24 and you are given another that is congruent to it and given one side which is 24 so the other has to be 18.

Answer:

6.4 (or round to 6 for one digit)

Step-by-step explanation:

Look up "distance between two points formula"

Answer: MN≈6.4

Step-by-step explanation:

[tex]M(-3,-1)\ \ \ \ N(2,3)\\[/tex]

                        [tex]\boxed {MN=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]

[tex]x_1=-3\ \ \ \ x_2=2\ \ \ \ y_1=-1\ \ \ \ y_2=3\\MN=\sqrt{(2-(-3))^2+(3-(-1))^2}\\ MN=\sqrt{(2+3)^2+(3+1)^2}\\ MN=\sqrt{5^2+4^2}\\ MN=\sqrt{25+16} \\MN=\sqrt{41} \\MN\approx6.4[/tex]

Answer: Credit cards are safer to carry than cash and offer stronger fraud protections than debit.

If Payton buys 3 pounds of Kiwi and 1.5 pounds of cherries, then the pounds of fruit Payton bought at 4.5 pounds.

If Payton buys x pounds of Kiwi and y pounds of cherries, the number of pounds of fruit purchased is x + y.

Payton bought 3 pounds of kiwi and 1.5 pounds of cherries. The total fruits bought is therefore:

= 3 + 1.5

= 4.5 pounds of fruit

If Payton bought x pounds of kiwi and y pounds of cherries, again the total pounds purchased is:
= x + y

Find out more on total purchases at https://brainly.com/question/28613294

#SPJ1

The end behavior of g(x) is;Option A: As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

The Factor Theorem states that a function with leading coefficient a and zeros x1, x2, x3,....,xn is defined by;

g(x) = a(x - x1)(x - x2).....(x - xn)

In the given table;

f(x) = 0 for x = -4 and 12. Thus, the zeros are x1 = -4 and x2 = 12

Then the definition is;

g(x) = a(x + 4)(x - 12)

g(x) = a(x² - 8x - 48)

The end behavior is the limit of g(x) as x goes to infinity, thus:

limₓ→ ∞ g(x) = limₓ→ ∞ax² = a * ∞

Since the leading coefficient a is negative, then;

a * ∞ = - ∞

Thus, the end behavior of g(x) is; As x→–∞, g(x)→–∞ and as x→∞, g(x)→–∞.

Read more about End behavior of Polynomial at; https://brainly.com/question/1365136

#SPJ1

Answer:

Step-by-step explanation:

hope it helps you

Answer: C. It illustrates the resistance of the median.

The coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.

Let the coordiantes of point Q be (x, y).

According to the given question.

R is the midpoint of QS.

The coordinates of point R is (6, -1).

And the coordinates of point S is (12, 4).

Thereofore, the coordiantes of point Q is given by

(6, -1) = (  (x + 12)/2, (y + 4)/2 )

⇒  x + 12/2 = 6  and  y + 4/2  = -1

⇒ x + 12 = 12 and  y + 4  = -2

⇒ x = 0 and  y = -6

Hence, the coordinates of Q will be (0, -6) if R(6, -1) is the midpoint of QS.

Find out more inofrmation about midpoint here:

https://brainly.com/question/4728902

#SPJ1

Answer:

Step-by-step explanation:

The carrier that has the lower initial fee is carrier B

For carrier B, we have the following equation

y = 55x + 300

Set x = 0 to determine the initial fee

y = 55 x 0 + 300

Evaluate

y = 300 ---- the initial fee of carrier B

For carrier A, we have the following points on the table

(x, y) = (3, 500), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - 500)/(6 - 3)

Evaluate

m = 50

Let the initial fee of carrier B y

So, we have the following points

(x, y) = (0, y), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - y)/(6 - 0)

Evaluate

m = (650 - y)/6

Substitute m = 50 in m = (650 - y)/6

50 = (650 - y)/6

This gives

300 = 650 - y

Solve for y

y = 350

So, we have:

y = 300 ---- the initial fee of carrier B

y = 350 ---- the initial fee of carrier A

300 is less than 350

Hence, the carrier that has the lower initial fee is carrier B

Read more about linear equations at

https://brainly.com/question/14323743

#SPJ1

Answer:

1. l

2. h

3. j

4. k

Step-by-step explanation:

Looks right to me :)

Answer:

Step-by-step explanation:

Click this link to see the answer pls. I cannot explain it on this little square box.

i swear, just click it.

https://giphy.com/gifs/trolli-basketball-weirdly-awesome-sour-brite-slam-STcNf6rLHyMA8

Step-by-step explanation:

Determine the area of square 1

Answer:

x > - 7

Step-by-step explanation:

- 5x - 7 < 28 ( add 7 to both sides )

- 5x < 35

divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.

x > - 7

When we divide 58 by 5,350, the value is 0.108411.

The information is that we should divide 58 by 5,350.

It should be noted that we cab reduce to the lowrst term before dividing. This will be:

= 58/5350

= 29/2675

Therefore, we can then convert the value to decimal and this will be:

= 29/2675

= 0.108411

The division is 0.108411.

Learn more about division on:

brainly.com/question/148825

#SPJ1

Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

Answer:

32

Step-by-step explanation: