Answer:Explanation: The area of a circle is πr2 where r is the radius. Dividing both sides by π we find r2=16=42 and hence r=4
Step-by-step explanation:
Answer:
"Multiply –6 and 3"
Step-by-step explanation:
For order of operations, we follow the rule PEMDAS
- We do PARENTHESIS first, then
- Exponents, then
- Multiplication, then
- Division, then
- Addition, then
- Subtraction
In this problem, we have parenthesis, so (-6)(3) should be done first.
Hence, we should multiply -6 and 3.
<em>Answer:</em>
<em> $ 2.76</em>
<em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>1 pd ........... $1.15</em>
<em>2.4pd .........$ x</em>
<em>x = 2.4×1.15/1</em>
<em>= $ 2.76</em>
<em>Good luck !</em>
a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3

Dividing both sides by 9

Putting x=62 in Eqn 1

Putting x=62 in Eqn 2

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
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AC in this problem will equal 87. If the (units) is where you put the put units like feet, inches if there is units.