The times for three runners in a 100 yard dash are 9.85 s, 9.6 s and 9.625 s. What is the winning time?

9514 1404 393

Answer:

  A) 226.98 in^2

  B) 120 in^2

  C) 106.98 in^2

Step-by-step explanation:

A) The diagonal of the rectangle is the diameter of the circle. The area can be found using the formula ...

  A = (π/4)d^2

  A = (π/4)(17 in)^2 = 72.25π in^2 ≈ 226.98 in^2

__

B) The area of the rectangle is the product of its length and width:

  A = LW

  A = (15 in)(8 in) = 120 in^2

__

C) The shaded area is the difference between the circle area and the rectangle area:

  shaded area = (226.98 in^2) -(120 in^2) = 106.98 in^2

Answer:

B

Step-by-step explanation:

2d represents the amount sold on Tuesday

subtracting 150 from this amount fits the question

Answer:

The solution to this problem is −2−14

Step-by-step explanation:

Answer:

4/99

Step-by-step explanation:

Step-by-step explanation:

p/q=2/3

q/r=6/5

First q is to be made same . So take LCM of 3 and 6 which is 6 only.

Now,

p/q=2×2/3×2=4/6

q/r=6/5 only

Cancel both the 6.

Therefore the answer is p/r=4/5.

Hope this helps

Answer:

p:r =4:5

hope it helps

Answer:

1081.2x10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

x + 75 + x + 125 = 180 add like terms

2x + 200 = 180 subtract 200 from both sides

2x = -20 divide both sides by 2

x = -10

Answer:

Yes

Step-by-step explanation:

12/21 simplified is 4/7. if you divide the numerator (12) by 3 and the denominator (21) by 3, you get 4 and 7, or 4/7 if you put it together.

4/7 and 12/21 are equivalent fractions

A fraction represents a part of a whole.

We need to check whether the fractions  4/7 and 12/21  are equivalent or not.

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

12/21 we have to simplify.

12 and 21 are the multiples of 3, so  divide numerator and denominator by 3

which gives 4/7

12/21=4/7

Hence, 4/7 and 12/21 are equivalent fractions

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Answer:

G(x) =0.4/0.7

F(x)= 6.6/14

Step-by-step explanation:

G(x)= 0.4/0.7

F(x)= 4(0.4)+5

=6.6

4(0.7)+5

=14.

Dm me if I'm wrong. If not, please mark as brainliest

Answer:

Answer is -10

Step-by-step explanation:

Explanation:

First, define the variable. Let n represent the unknown number.

Next, write an equation to represent the situation. Because a quotient is the result of division, divide the unknown number by -5:

.

Then, use opposite operations and the properties of equality to solve for n. Notice that the variable, n, is divided by -5. So, to isolate n, do the opposite and multiply both sides of the equation by -5:

Finally, to check the solution, substitute -10 for n in the original equation:

The resulting statement is true, so the solution is correct.

Answer: You didn't give choices but here are all of them

Step-by-step explanation: 1, 3, 5, 7, 11, 13, 15, 21, 33, 35, 37, 39, 55, 65, 77, 91, 105, 111, 143, 165, 185, 195, 231, 259, 273, 385, 407, 429, 455, 481, 555, 715, 777, 1001, 1155, 1221, 1295, 1365, 1443, 2035, 2145, 2405, 2849, 3003, 3367, 3885, 5005, 5291, 6105, 7215, 8547, 10101, 14245, 15015, 15873, 16835, 26455, 37037, 42735, 50505, 79365, 111111, 185185, 555555

Answer

The factors of 55 are 1, 5, 11, and 55.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{x} \sqrt{x} -(-9)^{2} \\=x-81\\x=81[/tex]

Answer:

Yes

Step-by-step explanation:

When u divide 1 by 3 the answer is repeating 0.3333....

Answer: $10,875

Step 1: Subtract.

10,950 - 75 = 10,875.

Step 2: Add a dollar sign.

$10,875

Hope this helps!

Answer:

No

Step-by-step explanation:

Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.

You would have sides x, 2x, 3x in this case and use the inequality a+b>c.

if...

a=x, b=2x, c=3x

then...

x+2x>3x

3x>3x which is false.

Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.

Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

Answer:

[tex]-(C^5)^4\\= -(C^2^0)\\= -C^2^0[/tex]

Answer:

The point G represents: "60 dollars is the cost to dry clean 6 suits."

Step-by-step explanation:

If you look at the graph, on the bottom it shows number of suits, which is the independent. On the left it shows the cost of suits which is the dependent.

The dependent (Money) depends on the independent (Suits) so when you look at the point G you see that it is graphed on 6 suits for 60 dollars.

Answer:

it so blurry

Step-by-step explanation:

Answer:

.313265*100 is 31.3265

rounded is 31.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 ant = 6 legs

6 legs ×2 ants= 12 legs of ants

1 butterfly = 6 legs

2 butterfly ×6 legs = 12 legs of butterfly

total

12 legs of butterfly + 12 legs of ants

= 24 legs in total

Answer:

24

Step-by-step explanation:

1 ant = 6 legs

2 ants = 6 + 6 = 12

2 ants = 12 legs

1 butterfly = 6 legs

2 butterflies = 6 + 6 = 12

2 butterflies = 12 legs

12 + 12 = 24

There were 24 legs all together.

Answer:

Step-by-step explanation:

30*1.6 = 48 km per second

48 * 2 = 96 kilometres

this is not rounded!!

Answer:

(-2,-1)

Step-by-step explanation:

The solution is,  x = 3.06 and, y = -7.33..

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

5x + 4y = -14 ..(1)

y = -7x - 15

i.e. 7x + y = -15 ...(2)

for solving now, we multiply (2) by 4 , then subtract from (1),

we get,

5x + 4y = -14

20x + 4y = -60

------------------------

15x = 46

or, x = 3.06

and, y = -7.33

Hence, The solution is,  x = 3.06 and, y = -7.33.

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Answer:

CT = 10x-44

Step-by-step explanation:

Since J is the midpoint you would set your equation up like this

Now you would add like terms

Hope this helps!

Answer:

The  upper bound of the 90% confidence interval is 0.181

Step-by-step explanation:

From the question we are told that

  The  sample size is  n  =  582

  The  number of accidents  is  k  =   91

Generally the sample proportion is mathematically represented as

         [tex]\r p = \frac{ k}{n} = \frac{582}{91 }[/tex]

=>     [tex]\r p = 0.1564[/tex]

Generally the confidence level is  90% , the level of significance is  [tex]\alpha  =  (100-90)\%[/tex]

=> [tex]\alpha =  0.10[/tex]

From the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as

       [tex]E  =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p)}{n} }[/tex]

=>       [tex]E  =  1.645* \sqrt{\frac{ 0.1564 (1 - 0.1564)}{582} }[/tex]

=>        [tex]E =  0.0248[/tex]

Generally the 90% confidence interval is mathematically represented as

     [tex]0.1564 - 0.0248  <  p  <  0.1564  -0.0248[/tex]

=>   [tex]0.1316  <  p  <  0.1812[/tex]

Answer and Step-by-step explanation:

Random sample = 582

No. of accidents = 91

P = 91 / 582 = 0.156

Confidence interval for proportion of accidents:

P ± z √(p(1-p)/n)

Where,

n = 582

p = 0.156

z = 1.645

Formula:

P ± z √(p(1-p)/n)

put these values in formula, we get:

 = 0.156 ± 1.645 √(0.156(1-0.156)/582)

 = 0.156 ± 1.645 √(0.1316/582)

= 0.156 ± 1.645 (0.01483)

= 0.156 ± 0.0244

= (0.1804, 0.1316)

Answer:

24:32

Step-by-step explanation:

When I saw that you wrote 'the ratios of BUTTERFLIES TO BEES' it tells me that I need to do the order of But. to Bees.  I saw you had 3:4, and you said, '32 bees' I know because of that, 32 bees needs to be the second.

I got my answer, by seeing 4x_=32.  I actually multiplied 4x8=32, and then multiplied 3x8 as well, to get 24.  Then I got my answer: 24:32!

HOPE I HELPED:)

-Adiel, Age 11, 6th Grade

Answer:

Given the following geometric sequence, find the common ratio. {0.45, 0.9, 1.8, ...} 0.45 0.9 2

Given the following geometric sequence {0.45, 0.9, 1.8, ...}, the common ratio is 2. The common ratio = 1.8/0.9 = 0.9/0.45 = 2