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3 years ago

11

Is 98.45 a rational or irrational number?

2 answers:

wlad13 [49]3 years ago

8 0

Rational, it can be turned into a fraction.

MAVERICK [17]3 years ago

5 0

It is a rational number because 98.45 can be turned into a fraction.

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In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the

SSSSS [86.1K]

Answer:

A) (17 ; 550)

B) $17/item

C) 550

Step-by-step explanation:

First we must calculate the intersection point of the two lines. Since in that point <em>y</em> has the same value in both equations, we can obtain <em>x </em>by equalling the two equations and then using that value for obtaining <em>y</em>:

$5x+465=-6x+652\\5x+6x=652-465\\11x=187\\x=\frac{187}{11}\\x=17$

So the value of <em>x</em> in the intersection point is 17. We now use this value with either one of the equations to obtain <em>y</em><em>. </em>Let's use the supply equation:

$y=5*17+465\\y=550$

So the intersection point is (17 ; 550)

Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the <em>x</em> coordinate and the amount of items is the <em>y</em> coordinate, so that is a selling price of <em>$17/item</em> with a number of items of <em>550</em>.

3 0

3 years ago

Gerald has a punch bowl in the shape of a hemisphere as shown below.

zmey [24]

The closest to the maximum number of cups the punch bowl can hold is 30

<h3>How to determine the number of cups?</h3>

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

$V = \frac{2}{3}\pi r^3$

This gives

$V = \frac{2}{3}\pi * 6^3$

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

Read more about volumes at:

brainly.com/question/1972490

#SPJ1

6 0

2 years ago

Now suppose there are more goods and services and the economy is now open to trade with other countries. Based on this generated

OLEGan [10]

It should be noted that GDP deflator simply measures the changes in price for goods and services.

<h3>What is GDP?</h3>

Your information is incomplete as the figures aren't given. Therefore, an overview will be given.

Gross domestic product simply means the total monetary value of the finished goods and services that are produced in a country.

The formula for calculating the GDP deflator will be:

= Nominal GDP/Real GDP × 100

Also, the formula fro calculating real GDP per capita will be:

= Real GDP/Total population

In conclusion, the real GDP is the GDP of a country that has been adjusted for inflation.

Learn more about GDP on:

brainly.com/question/1383956

3 0

2 years ago

A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of th

Marrrta [24]

Answer:

$-4(a + b = 6)$

Step-by-step explanation:

Given

$a + b = 6$

$4a + 2b = 19$

Required

Eliminate a

Multiply the first equation by -4

$-4(a + b = 6)$

Add to the second equation

$-4(a + b = 6) + (4a + 2b = 19)$

Solve brackets

$(-4a -4b = -24) + (4a + 2b = 19)$

Open bracket

$-4a + 4a -4b + 2b = -24 + 19$

$-4b + 2b = -24 + 19$

At this point, a has been eliminated;

From the list of given options, the option that answers the question is $-4(a + b = 6)$

8 0

3 years ago

Which equation shows this relationship? 8 less a number (n) is 21.

GarryVolchara [31]

N-8=21 should be the answer

8 0

3 years ago