Use the geometric sequence formula to solve for rate:
an=a1r^(n-1)
6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875
1.5 is the multiplicatice rate hope that helps :)
let
x-------> walnuts that Mario eats in a week
y-------> walnuts that Yolanda eats in a week
we know that
x=2y-------> equation 1
y=6*7-------> y=42 walnuts
substitute the value of y in equation 1
so
x=2*42-----> x=84 walnuts
therefore
the answer is
Mario eat in a week 84 walnuts
<h2>
Explanation:</h2>
A cube is a prism whose sides all have the same length. You can think of a cube like the three dimensional version of a square. In this problem, we know that Mary is using a microscope in order to look at a salt crystal and discovers it is shaped like a cube. Each square face has side length:

This diagram is shown in the first figure below. A crystal's square face is one of the six faces of the cube. So in order to draw it we need to know how many units we'll have in each side. Since we know that 1 unit on the grid represents 0.01mm, then:

So we will have 10 units that measure 0.01mm in each side. This is shown in the second figure below.
<u>Answers</u>
19 fiction books
7 nonfiction books
<u>Explanation</u>
x + y = 26 ............................................. (i)
x – y = 12 ............................................ (ii)
Elliot added the two equations and the result was
2x = 38.
Dividing both sides by 2;
x = 19
There are 19 fiction books.
Substituting x in equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
There are 7 nonfiction books
Area of a square equals side squared
(A = s²)
30 = s²
√30 = s
You can use a calculator to find out that √30 ≈ 5.48
or you can use estimation (√25 < √30 < √36) which means that √30 is between 5 and 6.