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enyata [817]
3 years ago
6

Prove that given an unlimited supply of 6-cent coins, 10-cent coins, and 15-cent coins, one can make any amount of change larger

than 29 cents.
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0

30¢ = 2×15¢

31¢ = 15¢ +10¢ +6¢

32¢ = 2×10¢ +2×6¢

33¢ = 15¢ +3×6¢

34¢ = 10¢ +4×6¢

35¢ = 15¢ +2×10¢

From this 6¢ range, any subsequent values can be reached by adding multiples of 6¢ to these numbers. For example, 36¢ = 2×15¢ +6¢.

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eight ears of corn and a cantaloupe cost $2.37. six ears of corn and 3 cantaloupes cost $3.51. what does a cantaloupe cost?
abruzzese [7]
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
3 0
4 years ago
I’ve tried everything
ludmilkaskok [199]

Answer:

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8 0
3 years ago
Solve the proportion: 65/x = 13/10
Hoochie [10]

Answer:

x=50

Step-by-step explanation:

65/x =13/10

13x=650

x=650/13

x=50

7 0
3 years ago
Dexter is making a sculpture with
beks73 [17]
To find the surface area of the entire sculpture, you need to add up the surface area of each part of the sculpture.  Overall, you see two triangles connected by two rectangles at the top, and the half of a cylinder at the bottom.

To find the area of one of the two triangles, you use the equation A = (1/2)bh, where b = the base of the triangle and h = the height.  So, the area of one triangle is:

5 0
4 years ago
I need help fast Pleeeease!<br> Find and Factor the GCF:<br> 4y^3-2y^2
fomenos
4y^3 - 2y^2

what is the largest number that divides evenly into 4y^3 and -2y^2?
it is 2

what is the highest degree of y that divides evenly into 4y^3 and -2y^2
it is y^2

the GCF is 2y^2

2y^2(2y - 1) <<<< answer

hope that helps, God bless!
6 0
3 years ago
Read 2 more answers
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