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pentagon [3]
3 years ago
5

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

Answer:

$6.35

Step-by-step explanation:

Number of pennies = 10% of the 50 coins = .10(50) = 5

Number of dimes = 34% of the 50 coins = .34(50) = 17

Number of nickels = 7 + no. of pennies = 7 + 5 = 12

Number of quarters = 50 - 5 - 17 - 12 = 16

Each penny is 1 cent, each nickel is 5 cents, each dime is 10 cents, and each quarter is 25 cents.

Amount of money in the bag = 5(1) + 17(10) + 12(5) + 16(25) = 5 + 170 + 60 + 400 = 635 cents = $6.35

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Amanda [17]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

We have the following points:

(x_ {1}, y_ {1}): (- 9,5)\\(x_ {2}, y_ {2}): (- 3,3)

Substituting we have:

m = \frac {3-5} {- 3 - (- 9)}\\m = \frac {-2} {- 3 + 9}\\m = \frac {-2} {6}\\m = - \frac {1} {3}

Thus, the equation is of the form:

y = - \frac {1} {3} x + b

We substitute one of the points and find "b":

3 = - \frac {1} {3} (- 3) + b\\3 = 1 + b\\3-1 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {1} {3} x + 2

Answer:

y = - \frac {1} {3} x + 2

7 0
3 years ago
Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the
stellarik [79]
63 + 36...there is a common factor of 9
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63 + 36...there is a common factor of 3
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4 years ago
PLZ HELP
Scrat [10]

Answer: Ix - 950°C I ≤ 250°.

Step-by-step explanation:

Ok, the limits are:

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The first step is to find the mean these numbers:

M = (700°C + 1200°C)/2 = 950°C

Now let's find the distance between the mean and the limits (which is equal to half the difference between our numbers)

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Now we can write our relation as:

Ix - MI ≤ D

Ix - 950°C I ≤ 250°.

if x = 1200°C.

I1200°C - 950°CI = 250°C ≤ 250°C ---- true.

if x = 700°C

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3 years ago
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Elis [28]

Answer:

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5 + 7 + 9

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3 years ago
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Answer:

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