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2 years ago

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let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?

1 answer:

3241004551 [841]2 years ago

3 0

The value of P - Q as described in the question above is; P -Q = 2.

According to the question;

P = number of primes less than 100
Q = number of primes less than 90

Since, we are required to determine what the value of P-Q is;

The value of P-Q is simply the number of primes between 90 and 100.

The prime numbers between 90 and 100 are; 91 and 97.

Therefore, P - Q = 2.

Read more;

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78 is what percent of 110

irinina [24]

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Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.

It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.

So we have the equation $78 = \frac{x}{100} *110$

So cross canceling the 110 and 100 to 11 and 10, we have $78 = \frac{11x}{10}$

Multiply both sides by 10 to get rid

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Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

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3 years ago

What is the volume of this rectangular

Basile [38]

<h3>Given:</h3>

l= 5 m
b= 4 m
h= 3 m

<h3>Note that:</h3>

l= length
b= breadth
h= height

<h3>To find:</h3>

The volume of the given rectangular pyramid.

<h3>Solution:</h3>

$\large\boxed{Formula:V=\frac{1}{3}lbh}$

First, multiply the length (5), breadth (4) and height (3).

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$= 60 \: cm$

Now, divide 60 by 3.

$\frac{60}{3}$

$\large\boxed{V= 20 \: {m}^{3}}$

<u>Therefore, the volume of the given rectangular pyramid is 20 cubic meters.</u>

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2 years ago