Answer:
7.745
Step-by-step explanation:
Square root of 60 equals X.
When we simplify (3 + √5)(3 + √2), the result obtained is:
9 + 3√2 + 3√5 + √10
<h3>Surd operation </h3>
a√b × c√d = (a × c)√(b × d)
<h3>How to simplify (3 + √5)(3 + √2)</h3>
(3 + √5)(3 + √2)
Expand by clearing the bracket
3(3 + √2) + √5(3 + √2)
9 + 3√2 + 3√5 + √10
Thus,
(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10
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Answer:
n=2
Step-by-step explanation:
14=6n+6-2n
Combine like terms
14 = 4n+6
Subtract 6 from each side
14 -6 = 4n+6-6
8 = 4n
Divide by 4
8/4 = 4n/4
2 =n
Hey there!
They are both correct, and their expressions are equivalent.'
9(S + T) + 45 = 9S + 9T + 45
Have a terrificly amazing day!
Answer:
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50
Step-by-step explanation:
Let
x-----> the cost of the ice cream cone
y----> the cost of the ice cream basket
z---> the cost of the donut
we know that
2x+y=12.75 ------> y=12.75-2x ------> equation A
x+2z=7.50 ------> z=(7.50-x)/2 -----> equation B
x+y+z=9.75 ----> equation C
substitute equation A and equation B in equation C and solve for x
x+(12.75-2x)+((7.50-x)/2)=9.75
Multiply by 2 both sides
2x+25.50-4x+7.50-x=19.50
3x=25.50+7.5-19.50
3x=13.5
x=$4.50
Find the value of y
y=12.75-2(4.50)=$3.75
Find the value of z
z=(7.50-4.50)/2=$1.50
therefore
The cost of each ice cream cone is $4.50
The cost of each ice cream basket is $3.75
The cost of each donut is $1.50