When Frank buys three packs of pens, he knows he has 36 pens. When he buys five packs, he knows he has 60 pens. What is the constant of proportionality between the numbers of packs and the number of pens?

Answers

Answer 1

Answer:

just add

Step-by-step explanation:

96


Related Questions

1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?

Answers

(−0.0081p)(t)=(15000)(2.718282)

Step 1: Divide both sides by -0.0081t.

−0.0081pt

−0.0081t

=

40774.227427

−0.0081t

p=

−40774.227427

0.0081t

Answer:

p=

−40774.227427

0.0081t

The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.​

Answers

Jvucupjeghrjtkkffjjrhfb over cztTzvo xis divi. I thrush kB

Answer:

Mean: 14

Median: 14

Mode: 12, 16

Good luck!

simplify (2x)^1/3 times (2x)^4/3

Answers

Answer:

2x^5/3

Step-by-step explanation:

Answer:

32x small 5

9         32x small 5 over 9

Step-by-step explanation:

A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long

Answers

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

7/8 ÷ 7/16 = Reduce your answer to the lowest terms.

Answers

I got 2/1= 2
You just divide and reduce

simplify (2x+1)(x+8) - (x-3)(2x+1) ​

Answers

Answer:

22x+11 is your answer

Step-by-step explanation:

(2x+1)(x+8) - (x-3)(2x+1)

(2x+1)(x+8-x+3)

(2x+1)(11)

=22x+11

When calculating the discriminant if your answer was 16, what does that say about your roots?

Answers

Answer:

Your roots are equal to 16

The determinant of the matrix

Answers

Answer:57

Step-by-step explanation:

(7 x 9) - (-3 x -2) = 57

What decimal is equivalent to 13/20?

Answers

Answer: 0.65

13/20 as a decimal is 0.65.

0.65 is equivalent to 13/20

What goes on the green box?

Answers

11 because you would add the 14 and 2 which would be 9^16 then you would subtract 5 which would make it 9^11

Can someone explain their answer? ​

Answers

The answer is -36 because
13,6,-1,-8,-15,-22,-29,-36

Answer: -36

Step-by-step explanation:

13, 6, -1

to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms

13, 6, -1, -8, -15, -22, -29, -36

the eighth term would be -36

i hope that makes sense

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

Answers

Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

Find x:

2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24

Find Y:

m∠Y = x + 8 = 24 + 8 = 32°

I need some help on this if possible

Answers

where C is the circumference, d is the diameter and r is the radius.

The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. The radius of the circle is a line segment from the center of the circle to a point on the circle. The diameter of a circle is twice the length of its radius.

If you are given the diameter then use the formula C = πd

If you are given the radius then use the formula C = 2πr

Step-by-step explanation:

A manager records the number of projects employees complete in one month. If the manager wants to summarize the data, which two statements are true?

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.
The manager should use a measure of center to summarize how the number of projects employees complete differs.
The manager should use a measure of center to summarize the typical number of projects an employee completes.
The manager should use a measure of variability to summarize how the number of projects employees complete differs.
The manager should use a measure of variability to summarize the typical number of projects an employee completes.

Answers

Answer:

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.

Step-by-step explanation:

Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3

Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!

Answers

Answer:

54 - 14 = 30

Step-by-step explanation:

If y is directly proportional to x and y = 17.5 when x = 21.

Answers

Then what’s the question?

Their are 2 ppl in front of me shot 1 how many are left

Answers

Answer:

1

Step-by-step explanation:

PLEASE !!! HELP D: lord pls

Answers

Answer:

the answer is 4 have a nice day

It might be 4 I think

Help me with this pls

Answers

A and E, they are basically at the same point around

HELP PLS!!

If the sequence 4, 8, 12, 16 continues, what will be the 7th
term?

Answers

Answer:

28

Step-by-step explanation:

In order to find the seventh term in this arithmetic function, you need to find its function; in order to do this, you must first identify the common difference by finding the difference between two consecutive terms:

16 - 12 = 4; the common difference is 4

Now, you need to find the 0th term, which is the 1st term minus the common difference:

4 - 4 = 0

At this point, you can write out the function (where f(n) = [0th term] + [common difference]n:

f(n) = 4n

Finally, you can plug 7 into this function:

f(n) = 4(7)

f(n) = 28, so the 7th term is 28

If a sporting goods store has 40 basketballs, 39 baseballs, 24 footballs, 51 hockey pucks, and 16 lacrosse sticks.
Write the following ratio in simplest form.
Lacrosse Sticks to Basketballs

Answers

Answer:

40/16

2/5

Thus the ratio

= 2:5

Please explain! What is the solution for the inequality below:
12- x<8
Please help!!!!!

Answers

Answer:

The solution for the inequality is x>4.

Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.

Answers

The answer would be 21 good luck hope you get it correct

Answer:

It would take them  [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

Step-by-step explanation:

Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.

Plug in 10 and 11:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]

Find the common denominator, then add the fractions together:

[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]

[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]

Cross multiply and solve for tb:

110 = 21tb

5.24 = tb

So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together

What is the additive 3x -6

Answers

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

Rename 5/6 and 14/15 using the least common denominator.

Answers

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

Answer:

25/30 and 28/30

Step-by-step explanation:

answer for the plato mastery test

Eight times the sum of a number and 9 equals 7.

Answers

Answer:

8(x+9)=7

comment if you need anything else like solving for x

The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the two numbers.
Sample question text with
and

Answers

Answer:

one number x= 16

other number y = 4

HELP I WILL MARK YOU GOOD

Answers

Answer:

You have a 2/3 chance

Answer:

2/3

Step-by-step explanation:

when you spin twice you either get a KK, KV, KH, VK, VV, VH, HK, HV, HH.

so the probability of getting a K and a K is 1/3 plus 1/3 to get your answer as 2/3.

Determine if the expression -z^3 + 8x is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. (Someone help me )

Answers

Answer No because it does not have a coefficient

Step-by-step explanation:

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