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Kisachek [45]
3 years ago
12

At a hardware store a bag holds up to 1 pound of nails. Each penny nail (x) weighs 0.05 pounds and each wood nail (y) weighs 0.1

pounds. Which inequality shows the solution for all combinations of the two kinds of nails that will fit in the 1-pound bag?
Mathematics
2 answers:
posledela3 years ago
7 0
For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y.  If the bag holds one pound of nails, you would use the inequality ≤.

.05x + 0.1y ≤ 1
Zina [86]3 years ago
3 0

Answer:

0.05x+0.10y \leq 1

Step-by-step explanation:

Let the penny nails be represented by x

Let the wood nails be represented by = y

Each penny nails weigh = 0.05 pounds

Each wood nail weigh = 0.10 pounds

Now we have been asked about the inequality which shows the solution for all combinations of the two kinds of nails that will fit in the 1-pound bag.

So, the inequality becomes:

0.05x+0.10y \leq 1

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A woman takes 121212 equal-sized steps. She walks a total of 10 \text { yards}10 yards10, start text, space, y, a, r, d, s, end
kramer

Answer:

30 inches

Step-by-step explanation:

She takes 12 equal sized steps and they all add up to 10 yards.

The length of each step (in yards) is:

10 / 12 = 5/6 yards

The question requires the answer in inches, therefore, we must convert this to inches:

1 yard = 36 inches

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3 years ago
What is the sum of 3 fifteens and 17 fifteens?
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Solve for x in the equation x squared + 2 x + 1 = 17.
Papessa [141]

Answer:

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

Step-by-step explanation:

given equation

x^2 +2x +1 = 17

subtracting 17 from both sides

x^2 +2x +1 = 17\\x^2 +2x +1 -17= 17-17\\x^2 +2x - 16 = 0\\

the solution for quadratic equation

ax^2 + bx + c = 0 is given by

x = x = -b + \sqrt{b^2 - 4ac} /2a \\\\and \ \\-b - \sqrt{b^2 - 4ac} /2a

________________________________

in our problem

a = 1

b = 2

c = -16

x =( -2 + \sqrt{2^2 - 4*1*-16}) /2*1 \\x =( -2 + \sqrt{4  + 64}) /2\\x =( -2 + \sqrt{68} )/2\\x = ( -2 + \sqrt{4*17} )/2\\x =  ( -2 + 2\sqrt{17} )/2\\x = - 1 + \sqrt{17}\\and\\\\x = - 1 - \sqrt{17}\\

thus value of x is

x = - 1 + \sqrt{17}\\and\\x = - 1 - \sqrt{17}\\

3 0
2 years ago
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