Answer:
$ 154
Step-by-step explanation
Let the value of suitcase=x
x × 4.5% = 6.93 (converted the question into equation)
x × 
= 6.93 (converted the percentage into fraction)
x = 6.93 x 
(took reciprocal of 4.5/100 after moving it to the other side of the equation)
x = 
(multiplied the values)
x = 154 $ (simplified the fraction)
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In the given question, there are two vital information's give. Firstly 8 ears of corn and 1 cantaloupe cost $2.37. On the other hand 6 ears of corn and 3 cantaloupes cost $3.51.
Let us assume the cost of 1 corn = X
Let us assume the cost of 1 cantaloupe = Y
Then
8X + Y = 2.37
Y = 2.37 - 8X
And
6X + 3Y = 3.51
Now we replace the value of Y we found from the first equation
Then
6X + 3(2.37 - 8X) = 3.51
6X - 24X + 7.11 = 3.51
-18X = 3.51 - 7.11
-18X = -3.6
X = 3.6/18
= 0.20
So $0.20 is the value of 1 corn. Then the value of a cantaloupe
Y = 2.37 - 8X
= 2.37 - (8 * 0.20)
= 2.37 - 1.6
= 0.77
So cost of a cantaloupe is $0.77
Answer:
gradient=change in y/change in x
=y2-y1/x2-x1
=-8-(-16)/-10-(-8)
=8/-2
=-4
Answer:
x=5
Step-by-step explanation:
x is the length of the line segment from the center to the boderline of circle. So x=5
First 3 terms are a^2 + n a^(n-)1 b + n(n-1)/2 * a^(n-2) b^2
So q^2 / pr = (n^2 * a^(2n-2) * b^2 ) / (1/2 * a^n * (n(n-1) * a^(n-2) * b^2 )
= n^2 * a^2n-2 * b^2
-----------------------------------
1/2 n(n-1) * a^(2n-2) * b^2
= 2n / n - 1 as required
given p = 4, q=32 and r = 96:-
32^2 / 4*96 = 2n / n-1
2n / n-1 = 8/3
6n = 8n - 8
2n = 8
n = 4 answer
