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4vir4ik [10]
3 years ago
11

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two

hats for $30.00. What were the prices for the gloves and hats?
Mathematics
2 answers:
Anna [14]3 years ago
7 0
Let g = number of gloves and let h = number of hats. We're going to write a system of equations.
2g+4h=43
2g+2h=30
Now I'm going to isolate a variable in one of the equations. Let's isolate the g in the second equation
g+h=15
g=15-h
Next, I'm going to plug in my new equation for g into the first equation and solve for h.
2(15-h)+4h=43
30-2h+4h=43
30+2h=43
2h=13
h=6.5
Finally, I'm going to plug my solution for h into either equation (I'll use the second one) and solve for g.
2g+2(6.5)=30
2g+13=30
2g=17
g=8.5
If I want to double check my answers, I can plug both values into the first equation and see if I get 43. The hats are $6.50 and the gloves are $8.50.
Olegator [25]3 years ago
5 0

 $6.50 and $8.50

_____________


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If line AD is a tangent to circle B at point C, and m∠ABC = 55º, what is the measure of ∠BAD?
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The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.

We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
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