Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)
Answer:
p = 250 - 15(w)
Step-by-step explanation:
Original amount: 250
No of weeks to return money: w
Amount to pay each week: 15
Amount that he has paid back: 15 × w (When we subtract this term from the total we will get the answer)
So after w weeks he owes his parents :
p = 250 - 15(w)
Answer:
Step-by-step explanation:
The volume of a cube is s*s*s or s^3 where s = the length of a side (2 in this case).
V = s^3
V = 2^3
V = 2*2*2
V = 8 cu in or 8 in^3
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
<h3>How to simplify the expression?</h3>
The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
Read more about expressions at
brainly.com/question/723406
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See the picture attached with letters to better understand the problem
in the right triangle ABD
applying the Pythagoras theorem
8²=AD²+(x+4)²-----> AD²=64-(x+4)²------> equation 1
in the right triangle ADC
applying the Pythagoras theorem
12²=AD²+(2x+1)²-----> AD²=144-(2x+1)²------> equation 2
equate equation 1 and equation 2
64-(x+4)²=144-(2x+1)²-------> 64-[x²+8x+16]=144-[4x²+4x+1]
64-x²-8x-16=144-4x²-4x-1
4x²-x²-8x+4x=144-1-64+16
3x²-4x=95
3x²-4x-95=0
using a graph tool----> to resolve the second order equation
see the attached figure N 2
the solution is
x=6.33
the answer isx=6.33 units