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aliya0001 [1]
3 years ago
15

A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 5 grams and the amo

unt of gold in each necklace is 22 grams. The jeweler made a total of 17 bracelets and necklaces using 238 grams of gold. Write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you use to write the system.
Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

The jeweler made 9 necklaces.

The jeweler made 8 bracelets.

Step-by-step explanation:

x = number of bracelets

y = number of necklaces

17 = x + y

238 = 5x + 22y

Make one of the coefficients, x, the same.

17 = x + y

Multiply this equation by 5.

85 = 5x + 5y

Subtract the equations to get rid of x.

(238 = 5x + 22y) - (85 = 5x + 5y)

(5x - 5x) + (22y - 5y) = 238 - 85

22y - 5y = 238 - 85

17y = 153

y = 153/17 = 9

The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.

17 = x + y

17 = x + 9

17 - 9 = x

x = 8

238 = 5x + 22y

238 = 5x + 22(9)

238 = 5x + 198

238 - 198 = 5x

40 = 5x

x = 40/5

x = 8

The jeweler made 8 bracelets.

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Answer:

\huge\boxed{\sf Area\ of\ the\ circle = 1385.4\ in.\²}

Step-by-step explanation:

We have to find out the area of the square in order to find how many square inches were cut from the squared cloth.

Diameter = 42 in.

Radius = D / 2 = 42 / 2 = 21 in.

Area of circle = πr²

Where r = 21 in.

Area = (3.14)(21)²

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Area of the circle = 1385.4 in.²

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Hope this helped!

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3 0
3 years ago
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i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
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Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

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The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

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Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

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No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

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