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400 hope this helps!

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You're given 3 points (x, y) on the circle with equation

x ² + y ² + Dx + Ey + F = 0

and you have to use these known points on set up 3 equations involving D, E, and F.

For the point (3, -1), this means when x = 3, y = -1, so

3² + (-1)² + 3D - E + F = 0

→   3D + (-1)E + 1F = -10

The next point (-2, 4) gives

(-2)² + 4² - 2D + 4E + F = 0

→   (-2)D + 4E + 1F = -20

And from the last point (6, 8),

6² + 8² + 6D + 8E + F = 0

→   6D + 8E + 1F = -100

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

Answer:

Step-by-step explanation:

After buying the ticket, the amount with him = 50 - 7 = 43

p ≤ 50 - 7

p ≤ 43

Answer:

p≤ 43

Step-by-step explanation:

50-7=43

so now Mr.smith will have $43 to spend

p is less than or equal to 43

Answer:

The reason that 0.35 should not be used to estimate the population proportion of the 30,000 new cars sold that experienced a problem with the power door locks within the first 5,000 miles driven is that 0.35 does not represent the sample proportion.

The correct sample proportion is 0.14 (140/1,000) and not 0.35 (140/400).  It is this that can be used to estimate the population proportion and not 0.35.

Step-by-step explanation:

a) Data and Calculations:

New cars sold by the automobile manufacturer = 30,000

Number of customers that the 30,000 new cars were sold to = 30,000

Simple random sample = 1,000 customers

Number of customers from the SRS that reported a problem = 400

This is equal to 40% of the sample (400/1,000 * 100)

Proportion of customers who reported a problem (specifically) with the power door locks = 140/400 = 0.35

Proportion of customers out of the sample that reported specifically a problem with the power door locks = 140/1000 = 0.14.

Answer:

B.

Step-by-step explanation:

Answer:

175% of 4 is 7

Step-by-step explanation:

i hope this helps

Answer:

a and d

Step-by-step explanation:

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Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

done

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Answer:512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

8*8*8=512

5 is the answer

here we have hypoteaus and base

so by using pythagoreaus theorem

p^2 = h^2 - b^2

p^2 = 13^2 - 12^2

p^2 = 169 - 144

p^2 = 25

p = root under 25

p = 5

Answer:

5 cm

Step-by-step explanation:

A^2+B^2=C^2

12^2+B^2=13^2

144+B^2=169 (You have to subtract 144 from both sides to get B^2 by its self)

-144       = -144

B^2= 25 (To get rid of the square you have to find the square root)

Square root of 25 = 5cm

Answer:

City A

Year 0: 25,000

Year 1: 25,260

Year 2: 25,520

Year 3: 25,780

Year 4: 26,040

Year 5: 26,300

City B

Year 0:  25,000

Year 1: 25,250

Year 2: 25,502

Year 3:  25,757

Year 4: 26,014

Year 5: 26,274

In year 5 City B will have a larger population. City B has a more exponetial model while City A is more linear model.

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

25÷5=5

5x3=15

15 oatmeal cookies

Step-by-step explanation:

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Answer:

1) $68.40

2)456 tickets

Step-by-step explanation:

1)

They need to raise $8,250.

They have already raised $3,120.

The amount they have still to raise is $8,250-$3,120=$5,130.

There are 75 band members, so the amount yet to raise per member is $5,130/75=$68.40.

2)

The businesses give $0.50 for every $1 in ticket sales, ie. they pay an extra 50% of the total.

Let number of tickets sold=x

Let money made from ticket sales = 7.5x

The total amount of money made is therefore 1.5(7.5x)=11.25x

The minimum amount of tickets to hit $5,130:

$5,130=11.25x

x=456

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

Answer:

the first easy assignment for aii the students

the first day of school is go in to be in a while

Step-by-step explanation:

Answer:

$6

Step-by-step explanation:

there was 11 total and 5 went into the soda and 6 went into the pizza so it's 6.

Answer:

100

i hope it helps

Answer:

100

Step-by-step explanation:

Answer:

8/15 and 3/10

Answer:

Percent of increase in weight = 33.33% Approx.

Step-by-step explanation:

Given:

Old weight = 60 pound

New weight = 80 pound

Find:

Percent of increase in weight

Computation:

Percent of increase in weight = [(New weight - old weight)/Old weight]100

Percent of increase in weight = [(80 - 60)/60]100

Percent of increase in weight = [(20)/60]100

Percent of increase in weight = 33.33% Approx.

Answer:

398 ft

Step-by-step explanation:

Answer:

Fraction of cars 4/15

Total number of vehicles 15

4 is the numerator and 15 is the denominator

Step-by-step explanation:

Answer:

half a cup

Step-by-step explanation:

75% minus 25% is 50% aka 1 half

Answer:

7

Step-by-step explanation:

F(x) =2x+1

f(x) =6+1

Answer:

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of two independent events is the multiplication of their separate probabilities.

Green shirt:

3 green shirts, out of 3 + 3 + 2 = 8 shirts.

So 3/8 probability of green shirts.

Cargo pants:

4 cargo pants, our of 4 + 3 = 7.

So 4/7 probability of cargo shirts.

Green shirt and cargo pants:

[tex]p = \frac{3}{8} \times {4}{7} = \frac{12}{56} = \frac{3}{14} = 0.2143[/tex]

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.