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3 years ago

What are two consecutive integers whose sum is 327?

Mathematics

2 answers:

AVprozaik [17]3 years ago

7 0

Answer:

108 + 109 + 110 = 327

I think this is the correct answer

olga_2 [115]3 years ago

5 0

Answer:

163 and 164

Step-by-step explanation:

n being defined as an integer

n+(n+1) = 327

2n+1=327

2n=326

n=163

verify answer

163 + (163+1)=327

163+164=327

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Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensive per pound? How muc

ozzi

Answer:

The apricots are less expensive per pound.

Step-by-step explanation:

Cost of 1 pound of almonds = 21.98/2

Cost of 2 pounds of almonds = $21.98

So then you have to do 21.98 - 21.98/2. Which equals $10.99

Cost of 1 pound of dried apricots = 26.25/3

Cost of 3 pounds of dried apricots = $26.25

So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.

To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.

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3 years ago

Consider the set n of positive integers to be the universal set. sets h, t, e, and p are defined to the right. determine wheth

noname [10]

Answer:

The sets E' and P' are not disjoint.

Step-by-step explanation:

Definition: Two sets are disjoint if their intersection is an empty set.

The sets are defined as follows.

$\text{Universal Set}, U=\{n|n \in \mathbb{Z}^+\},$ where \mathbb{Z}^+$ is the set of positive integers.$

$H=\{n|n \in \mathbb{N}| n>100\}\\T=\{n|n \in \mathbb{N}| n$

We are to determine if the sets E' and P' are disjoint.

E' and P' are the complements of E and P respectively.

Therefore:

$E'=\{n|n \in \mathbb{N}| n$ is odd$\}\\P'=\{n|n \in \mathbb{N}| n$ is not prime\}$

The intersection

$E' \cap P' =\{n|n \in \mathbb{N}| n$ is odd but not prime$\}$

Therefore, the sets E' and P' are not disjoint.

7 0

3 years ago

A student is assigned the task of placing the main ideas and content of this passage into a graphic organizer.

otez555 [7]

Answer:

D. A Venn diagram allows you to compare and contrast all different aspects of two types of things and contrast them aswell.

Step-by-step explanation:

3 0

3 years ago

This is a lot of work into this!

masha68 [24]

The maximum revenue of the craftsman is an illustration of objective function

The craftsman can at most make $500, if he makes 100 bracelets

<h3>How to determine the maximum revenue?</h3>

Represent bracelet with b and necklace with n.

From the question, we have:

b n Total

Unit 10 20 1000

Time 10 40 1600

Cost 5 7.5

So, we have the objective function to be:

Max C = 5b + 7.5n

And the constraints are:

10b + 20n ≤ 1000

10b + 40n ≤ 1600

b ≥ 0

n ≥ 0

From the given graph of the constraints, we have the following feasible points

(b,n) = (0,0) (40,30) (0,50) and (100,0)

Substitute these values in the objective function

C(0,0) = 5(0) + 7.5(0) = 0

C(40,30) = 5(40) + 7.5(30) = 425

C(0,50) = 5(0) + 7.5(50) = 375

C(100,0) = 5(100) + 7.5(0) = 500

The maximum revenue is at the point (100,0)

Hence, the craftsman can at most make $500, if he makes 100 bracelets

Read more about objective functions at:

brainly.com/question/16826001

7 0

2 years ago

A country has 10 billion dollars in the paper currency in circulation, and each day 33 million dollars come into the country's b

zhuklara [117]

Answer:

a.dx/dt = 0.033 billion/day

b. x = 0.033 billion/day · t

c. It will take 273 days for the new bills to account for 90% of the currency in circulation.

Step-by-step explanation:

Hi there!

a) x(t) is the number of new dollars after t days.

Every day, the number of new dollars is increasing by 0.033 billion.

Then, the rate at which the new dollars are released into the market can be expressed as follows:

dx/dt = 0.033 billion/day

b) Let´s solve the differential equation by separating variables:

dx/dt = 0.033 billion/day

dx = 0.033 billion/day · dt

Integrating both sides from x0 = 0 to x = x and from t = 0 to t = t:

∫dx = ∫ 0.033 billion/day · dt

x - 0 = 0.033 billion/day · t - 0

x = 0.033 billion/day · t

c. The 90% of 10 billion is 9 billion. Replacing x = 9 and solving the equation for t:

x = 0.033 billion/day · t

9 billion = 0.033 billion/day · t

t = 9 billion / 0.033 billion/day

t = 273 days

It will take 273 days for the new bills to account for 90% of the currency in circulation.

6 0

3 years ago