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3 years ago

What percent of $20,574.50 equals $1,180.47

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

7 0

5.737539186% rounded to the nearest tenth its 5.7%

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Audrey has 32 dimes and quarters in her piggy bank with a total value of $6.50. how many of the coins are dimes and how many are

fgiga [73]

D + q = 32....d = 32 - q
0.10d + 0.25q = 6.50

0.10(32 - q) + 0.25q = 6.50
3.20 - 0.10q + 0.25q = 6.50
-0.10q + 0.25q = 6.50 - 3.20
0.15q = 3.30
q = 3.30 / 0.15
q = 22 <=== 22 quarters

d + q = 32
d + 22= 32
d = 32 - 22
d = 10 <=== 10 dimes

7 0

2 years ago

Choose the most appropriate strategy and then use it to solve the quadratic equation.

dsp73

(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2

7 0

3 years ago

What is the length of segment AD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share

igomit [66]

Answer: 5.83 units

Step-by-step explanation:

Sketching the data above,

Length of segment AD can be computed using Pythagoras rule ;

Where segment AD = hypotenuse

Segment AB = 3 = opposite

Sin Θ = opposite / hypotenuse

Sin 31° = 3 / hypotenuse

Hypotenuse × 0.5150380 = 3

Hypotenuse = 3 / 0.5150380

Hypotenuse = 5.8248120 units

Hypotenuse = 5.83 units

3 0

3 years ago

Read 2 more answers

Kyle is using 4 pounds of peaches to make pies. How many ounces of peaches is Kyle using for the pies? (1 pound = 16 ounces)

professor190 [17]

Should it be 64 cause that what i got<span />

4 0

3 years ago

Read 2 more answers

A population of voters contains 46% Republicans, 45% Democrats and the rest are Independents. Assume 50% of Republicans, 40% of

ICE Princess25 [194]

Answer:

The probability is 0.18

Step-by-step explanation:

Here, we are interested in calculating a conditional probability;

Let the event that a voter is a Republican be R , the event that a voter is a Democrat be D and that a voter is an independent is I

Let the event that the election issue is favored be F

We have the following probabilities;

P(R) = 46% = 0.46

P(D) = 45% = 0.45

P(I) = 1-0.45-0.46 = 0.09

The conditional probability we want to calculate is;

P(D | F) which can be read as probability of event D given event F

From the question, we can identify the following conditional probabilities;

P(F|R) = 0.46 * 0.5 = 0.23 (0.5 is gotten from 50% = 50/100)

P(F | D) = 0.45 * 0.4 = 0.18

P( F | I) = 0.09 * 0.6 = 0.054

P(F) = 0.054 + 0.18 + 0.23 = 0.464

Mathematically; From Baye’s theorem

P( D | F) ={ P ( F | D) * P(D) }/ P(F)

P( D | F) = (0.18 * 0.45)/0.464 = 0.1745

7 0

3 years ago