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3 years ago

on a bookshelf there are 5 paperback books and 3 hardcover books is the ratio of books to hardcover books 5:3 explain

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer: no

Step-by-step explanation: because overall there’s isn't a total of 5 books, 5 books is how many paperback books you have

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Please solve the following question!!

Komok [63]

2(21x − 7) + 4(3x + 2) = 6(2x + 9) + 3
42x - 14 + 12x + 8= 12x + 54 + 3
54x - 6= 12x + 57
54x=12x + 63
42x=63
x= 63/42
x= 3/2

4 0

2 years ago

Out of 30 students are surveyed 17 have a dog based on these results predict how many of the 300 students in the school have a d

zubka84 [21]

$From\ proportion:\\
30\ students\ 17\ dogs\\
300\ students\ x\ dogs\\\\Cross\ multiplication\\
30x=300*17\\
30x=5100\ \ \ | divide\ by\ 30\\
x=170\\\\
There\ will\ be\ 170\ dogs\ for\ 300\ students.$

5 0

3 years ago

Read 2 more answers

In a triangle , the measures of the angles are x,x + 20 & 2x . What is the value of x ?

Alexus [3.1K]

X+x+20+2x=180
4x+20=180
4x=160
x=40

5 0

2 years ago

How do you find the area of a triangle when given only the lengths of three sides?

SashulF [63]

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

$s = \dfrac{a + b + c}{2}$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

$s = \dfrac{a + b + c}{2}$

$s = \dfrac{3 + 4 + 5}{2}$

$s = 6$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

$area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}$

$area = \sqrt{6(3)(2)(1)}$

$area = \sqrt{36}$

$area = 6$

3 0

2 years ago

Hey, I need help with questions 1 and 2, if anyone can help, please? thanks!

Eva8 [605]

The correct works are:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$ .
$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

<h3>Function Notation</h3>

The function is given as:

$Blue(s) = 2s^2 + 3$

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

$Blue(s + h) = 2(s + h)^2 + 3$

Evaluate the exponent

$Blue(s + h) = 2(s^2 + 2sh + h^2) + 3$

Expand the bracket

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

So, the correct work is:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

$Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3$

$Blue(s) = 2s^2 + 3$

The difference quotient is represented as:

$\frac{f(x + h) - f(x)}{h}$

So, we have:

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}$

Evaluate the like terms

$\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}$

Evaluate the quotient

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Hence, the correct work is:

$\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h$

Read more about function notations at:

brainly.com/question/13136492

4 0

2 years ago