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shusha [124]
3 years ago
10

The square of sophie's age is 16 less than joanna's age. it is also the case that joanna's age is 8 times that of sophie. how ol

d is joanna?
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0
Let s be Sophie's age. Then joanna is s²+16. Joanna is also 8s, if  Sophie is s. So:
s²+16=8s
s²-8s+16=0
(s-4)²=0
s=4
Sophie is 4; Joanna is 32
☺☺☺☺
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Answer:

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Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

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1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

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