What are the measurements?
Answer:
Step-by-step explanation:
Answer:
X=9 or x=-9
Step-by-step explanation:
X^2=81
Can be written as
x^2-81=0
Factorize by the property:
a^2-b^2=(a-b)(a+b)
So the expression becomes:
(x-9)(x+9)=0
Therefore, either x-9=0or x+9=0
Then the solutions are x=9 or x=-9
Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Step-by-step explanation:
Cost of almonds per pound = $10
Cost of roasted pistachios = $12
Total amount spent = $70
Weight of nuts = 6.3
Let,
Weight of almonds = x
Weight of roasted pistachios = y
According to given statement;
x+y=6.3 Eqn 1
10x+12y=70 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 2

Putting y=3.5 in Eqn 1

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.
Keywords: linear equations, elimination method
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Answer:
Silver
Step-by-step explanation:
Find the volume of the coin
<u>Volume of a cylinder</u>

Given:
Substituting given values into the formula to find the volume:


Find the density of the coin given it has a measured mass of 18.54 g
<u>Density formula</u>

where:
= density- m = mass
- V = volume
Given:
- m = 18.54 g

Substituting given values into the density formula:


Given:
Therefore, as
the coin is made from silver.