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Katen [24]
3 years ago
10

at least $580 to buy a new Bose sound system. He has $210 in savings and plans to save $30 a week until he has enough money to b

uy one. How many weeks will it take Nick to save enough money to buy the sound system?
Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

13 weeks

Step-by-step explanation:

multiply $30 by 13 weeks you get $390 add the $210 and get $600

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In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

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3 years ago
What word describes the equal shares of 4 equal sides
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Quadrilateral the word that describe the equal share of 4 equal sides
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Find 2 consecutive positive even integers such that the product of the 1st and 2nd is 2 less than 5 times the 3rd. Use an algebr
Aloiza [94]
Assume the smaller one is x, then the other ones will be x+2 and x+4

x(x+2) + 2 = 5(x+4)

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-> (x-6)(x+3) = 0

-> x = 6 or -3, since x must be positive, then x = 6

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Answer:

x  =  2 , y  =  − 3

Step-by-step explanation

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , − 3 )

Equation Form: x  =  2 , y  =  − 3

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Step-by-step explanation:

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