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Scilla [17]
3 years ago
14

4) The sum of two numbers is 21. The smaller number is three more than half the larger number. What are the two numbers?

Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

4) smaller number is 9, larger number is 12

13) 38.45=5m+8.5

m=5.99

Step-by-step explanation:

x+y=21      the sum of two numbers is 21

x-3=.5y  the smaller number is 3 more than half the larger number

multiply both sides by 2 and you get 2x-6=y

plug that equation into the first equation and you get x+2x-6=21

simplifying you get 3x-6=21 add 6 to  both sides and you get 3x=27

x=9 so the smaller number is 9 then you plug that back into the first equation and get y=12


let m be the cost of 1 movie and c be the cost of the cd

38.45=5m+c

38.45=5m+8.5 this is the equation you use

subtract 8.5 from both sides and you get 29.95=5m

divide both sides by 5

5.99=m the answer

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Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

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2 years ago
Which set is closed under the operation multiplication?
oee [108]
I have another set of choices here:

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B. {1, 2, 4} 


C. {1, 2, 3, 4, 5} 


<span>D. {0} 
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3 years ago
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2 years ago
Solve the quadratic equation by completing the square.
Step2247 [10]

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1     b = -2    c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

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3 years ago
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