Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Madeline's account went into overdraft. To get back to a positive balance, she deposited mone at a steady rate of $29.06 per week. After 8 weeks, she had $190.69 in the account. What was the balance when the account went into overdraft?​

The miles that Jude needs to run on Thursday is 1 3/5 miles.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Total fraction = 7 3/15

Monday race = 2 3/15

Tuesday race = 1 1/15

Wednesday race = 2 1/3

The miles remaining will be:

= 7 3/15 - (2 3/15 + 1 1/15 + 2 1/3)

= 7 3/15 - 5 9/15

= 1 9/15

= 1 3/5 miles

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Answer: she donated 25%

Step-by-step explanation:

Answer:

54.54

Step-by-step explanation:

30x100 then divided by 55

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The student's having a sister is 0.4827 likely. And a random student is chosen who has a brother. Therefore, the probability that this student has a sister is 0.3636.

The fundamental assumption that something will almost certainly occur is known as probability. the percentage of positive occurrences to all occurrences.

Next, the probability is given as

P = (a favorable event) / (Total event)

The letters £ stand for the 29 students in the class, B for those who have brothers, and S for those who have sisters.

Next, the equation will be presented.

7 + 4 + 2x + x + 3 = 29

3x = 29 - 14

3x = 15

x = 5

2x will then have the value

2x = 2(5)

2x = 10

After that, x + 3 will have the value.

x + 3 = 5 + 3 = 8

The probability of the student having a sister is

P = (10 + 4) / 29

P = 14 / 29

P = 0.4827

If a student with a brother is randomly selected, the probability that this student also has a sister will be

P = 4/11

P = 0.3636

As a result, the probability that the student has a sister is 0.4827. And at random, one of the students with a brother is chosen. The likelihood that this student has a sister is then 0.3636.

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The least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.

Given:

She can lease a car for $420 per month (on an annual basis). Under this plan, the cost per mile (gas and oil) is $0.06. If she were to purchase the car, the fixed annual expense would be $4700, and other costs would amount to $0. 08 per mile.

Let x be the least miles.

420 * 12 + 0.06x < > 4700 + 0.08x

multiply by 100 on both sides.

504000+6x < > 470000+8x

97000 < > 2x

48500=x

Therefore the least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.

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The area of the triangle PQX is 9.8 cm².

Given,

on this circle

∠PQX = ∠SXR

since vertical angles are equal.

∠PQX = ∠XRS and ∠QPX = ∠XSR

since the angle is the same as the angle opposite the arc.

so triangle PQX is similar to triangle SRX

three angles are equal.

since two triangles are similar:

so, RX/QX = SX/PX = SR/PQ = 10/7

and since S Δ PQX = 1/2 . QX . PX . sin∠PXQ

SΔSRX = 1/2 . RX . SX . sin∠SXR

= 10/7 × 10/7

= 100/49

S Δ PQX = 49.SΔSRX/100

= 9.8 cm²

Hence we get the area as 9.8 cm²

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The value of the discriminant is -71. The roots of the equation are imaginary and two in number.

We are given a quadratic equation. The equation is given below.

2x² + 10x + 9 = 9x

We will simplify this equation.

2x² + x + 9 = 0

We need to find the discriminant of the equation. If the general quadratic equation is represented by ax² + bx + c = 0, then the discriminant is given below.

D = b² - 4*a*c

D = 1² - 4(2)(9)

D = 1 - 72

D = -71

The discriminant is negative, so no real roots exist for the given quadratic equation. Thus, there exist two imaginary roots for the given quadratic equation.

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The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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The expression that represents the perimeter is 8.6b  and the expression that represents the area of the exercise mat is  3.3b²  .

In the question ,

it is given that ,

the exercise mat is is 3.3 times as long as it is wide .

let the width of the exercise mat be = "b" .

So , the length of the exercise mat will be = 3.3b

The Perimeter of the exercise mat = 2( length + width)

= 2(3.3b + b)

= 2(4.3b)

= 8.6b

the perimeter is = 8.6b

The Area of the exercise mat = length × width

= 3.3b × b

= 3.3b²

the area is = 3.3b²

Therefore , The expression that represents the perimeter is 8.6b  and the expression that represents the area of the exercise mat is  3.3b²  .

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Answer:

I belive c

Step-by-step explanation:

The ratios for each pair of the data are the same, so the download time and the file size are proportional.

A proportional relationship is a linear function that has the following features.

Hence the output variable y is given by the multiplication of the input variable x and the constant of proportionality k, hence the equation is:

y = kx.

A set of data is only proportional if the division of the output by the input is the same for all pairs of values.

For this set of data, this division is given as follows:

Same ratios, hence the measures are proportional.

The data is given by the image at the end of the answer.

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The simplified expression for (0.2a²b³)(-5a³b)² is given as follows:

5a^8b^5.

The expression for this problem is given as follows:

(0.2a²b³)(-5a³b)²

First we apply the power of power simplification, in which the square of each term inside the parenthesis is calculated as follows:

Now the expression is:

(0.2a²b³)(25a^6b²).

Then:

Hence the simplified expression is:

5a^8b^5.

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p=4n+2 equation describes the relationship between n and p

How to find a function?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

Here the coordinates are (1,6),(2,10),(3,14),(4,18)

take two coordinates arbitrarily

ie. (1,6) and (3,14)

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m=\frac{14-6}{3-1}\\ = \frac{8}{2}[/tex]

=4

we know the equation

[tex]y-y_{0} = m(x-x_{0} )[/tex]

where [tex](x_{0},y_{0})= (1,6)[/tex]

y-6 = 4(x-1)

y-6 = 4x-4

y = 4x-4+6

y = 4x+2

here y is the profit and x is the number of shirts

∴p=4n+2

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Answer:

0.76 hits / per inning.

Step-by-step explanation:

Comment

Nor very many.

You are using a double ratio question.

Givens

5 hits

33 innings

x

5 innings

Formula

5 hits                 x

====           =     =====

33 innings         5 innings                 Cross multiply

Solution

5 * 5 = 33* x                                       Combine

25 = 33*x                                           Divide by 33

25/33 = x

x = 0.760                                

Less than 1 hit per inning.

Answer:a

Step-by-step explanation

let me know if this helps

Total triangles on all the quilt are 672.

What is quilt?

Quilts are often made of two or more layers of cloth or fibre and are multi-layered textiles. Three layers and a filler substance are frequently employed. These layers are often made up of a woven top, a batting or wadding layer, and a woven back that are all connected using quilting techniques.

Main Body:

Number of triangles on 1 quilt = 32

Total number of quilt = 21

So total triangles can be calculated by simply multiplying the two values,

Total triangles = 32*21

                        = 672 quilts

Hence total number of triangles = 672

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Answer: 500 W (watt)

Step-by-step explanation:

Power = P = Work / time = W/t

W = Fd = Force x distance = 400N x 5m = 2000J

P = 2000J/4s = 500 W

Answer:

$64.00

Step-by-step explanation:

4(9) + 2(6.5) + 4(3.75)

36 + 13 + 15

64

The centripetal acceleration is 15.625 m/s²

From the question, we have

centripetal acceleration (a) = v²/r

where,

v is the velocity in m./s

r is the radius in m

a = v²/r

= 2.5²/0.4

=15.625 m/s²

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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Answer:

Step-by-step explanation:

black wombat in the dessert jungle

i know its wrong but its right

trust it

the process

For n as 5,7,8 and 9 the relation will become function

A relation is a function if it has only One y-value for each x-value.

The given relation is two comma eight comma six comma zero comma four comma two comma two times of n comma n.

{(2,8), (6,0), (4,2), (2n,n)}

We need to make it  function for which n should not be 2,6, or 4.

When n is 1, it is not function

n is 3, it is not function

n is 5, it is function

n is 7, it is  function

n is 8, it is function

n is 9, it is function

Hence for n as 5,7,8 and 9 the relation will become function

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Answer:

x = 84

Hope this helped! If you need to know the steps, just let me know and I'll add it :)

Answer:

Step 1: Simplify both sides of the equation.

x/4−10=11

1/4x+−10=11

1/4x−10=11

Step 2: Add 10 to both sides.

1/4x−10+10=11+10

1/4x=21

Step 3: Multiply both sides by 4.

4*(1/4x)=(4)*(21)

x=84

Answer:

x=84

Answer:

Step-by-step explanation:

the numerical coefficient of x2 here is 3.

The quantity of fruit left is 2 pounds which is the difference between the quantity bought by Delon and the quantity eaten by the class.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The quantity of fruit has left the difference between the quantity bought by Delon and the quantity eaten by the class.

The quantity bought by Delon = 2.9 pounds

The quantity eaten by the class =  0.9 pounds

The quantity of fruit left = 2.9 pounds - 0.9 pounds  

Apply the subtraction operation,

The quantity of fruit left = 2 pounds

Thus, the quantity of fruit left is 2 pounds

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The solutions of the quadratic equation are:

A general quadratic equation:

a*x^2 + b*x + c = 0

Has solutions of the form:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4a} }{2a}[/tex]

In this case, the quadratic is:

2*x^2 + x + 2 = 0

a = 2

b = 1

c = 2

Then using above formula we get the two solutions:

[tex]x = \frac{-1 \pm \sqrt{1^2 - 4*2*2} }{2*2} \\\\x = \frac{-1 \pm \sqrt{-8} }{4}[/tex]

So the solutions are:

x = (-1 +√8*i)/4

x = (-1 -√8*i)/4

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Answer:

b is the answer

Step-by-step explanation:

hi hope it helps

Answer:

8505

Step-by-step explanation:

Step 1

Firstly, work out 5 × 243. The smaller figures in green are the tens figures carried over. Working from right to left:

5 × 3 = 15

Put the 5 in the appropriate column and carry the 1.

5 × 4 + 1(carried) = 21

Put the 1 in the appropriate column and carry the 2.

5 × 2 + 2(carried) = 12

Put the 2 in the appropriate column and carry the 1.

Step 2

Lastly, work out 30 × 243.

This can be written as 3 × 243 × 10.

Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 243.

3 × 3 = 9

3 × 4 = 12

Put the 2 in the appropriate column and carry the 1.

3 × 2 + 1(carried) = 7

Step 3

Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.

0 + 5 = 5

9 + 1 = 10

Put the 0 in the appropriate column and carry the 1.

2 + 2 + 1(carried) = 5

7 + 1 = 8

So: 243 × 35 = 8505

The radius of the cone if the volume of a right cone is 448 π cube units and if its height is 21 units is 8 units.

First, let us understand the cone:

It is a solid or hollow item with a round or approximately circular base that tapers to a point.

The volume of the cone is given by;

Volume = 1/3 π r^2 h

where r = radius of the base of the cone

and h = height of the cone

We are given;

The volume of a right cone is 448 π cube units.

Height is 21 units.

Put the values in the volume formula;

448 π = 1/3 π r^2 * 21

448 π = 7 π r^2

r^2 = 448 π / 7 π

r^2 = 64

r = 8 units

So, the radius of the base is 8 units.

Thus, the radius of the cone if the volume of a right cone is 448 π cube units and if its height is 21 units is 8 units.

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Answer:

8

Step-by-step explanation:

don't know how to explain it but I had he same problem and I got 8 and it was right.