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Solve the equation by completing the square.
x^2 + 10x= -81

Answer:

( -2,-3) is the midpoint

Step-by-step explanation:

To find the x coordinates of the midpoint, add the x coordinates of the endpoints and divide by 2

( -1+-3)/2 = -4/2 =-2

To find the y coordinates of the midpoint, add the y coordinates of the endpoints and divide by 2

( 3+-9)/2 = -6/2 =-3

( -2,-3) is the midpoint

Answer:

She will pay $7,500 interest over the 5 years

She will have to pay back $17,500 in total

Step-by-step explanation:

Let us revise the rule of the simple interest

I = Prt and A = P(1 + rt) , where:

∵ Leah borrows £10,000 over 5 years at a simple interest rate of 15%.

∴ P = 10,000

∴ t = 5

∴ r = 15% = [tex]\frac{15}{100}[/tex] = 0.15

→ Substitute them in the first rule to find the interest

∵ I = 10,000(0.15)(5)

∴ I = 7,500

∴ She will pay $7,500 interest over the 5 years

→ Let us find A

∵ A = 10,000(1 + 0.15×5)

∴ A = 17,500

∴ She will have to pay back $17,500 in total

Answer:

maximum y=9 and x=0 but the minimum is infinite.

Step-by-step explanation:

Answer: 4224 feet cubed

Step-by-step explanation:

Volume for a rectangular tank =LxWxH

22x12x16=4,224

Answer:

4224in^3

Step-by-step explanation:

The formula for volume is height x length x width ( x means multiply)

so to find the volume of the fish tank you multiply each of the sides by each other, 12x16x22. So the volume of the fishtank is 4224 inches cubed(^3) make sure you write the cubed and units at the end, just like how for area you always make it squared.

Answer:

Your answer is: 12f + 49g

Simplify each term.

Step-by-step explanation:

Hope this helped : )

Answer:

44

Step-by-step explanation:

hi! we can plug in 7 for each x in this equation.

f(7)=5(7)+7+2

=35+7+2

=35+9

=44

Answer:

25

Step-by-step explanation:

-53 + n= -28

-53 + 53 + n = -28 + 53

n = 25

Answer: -81

Step-by-step explanation: -53 + n = -28

                                            = n = -53/-28

                                            = -81 as you should put the sign of the bigger no.

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Answer: A) (20, 1)

Step-by-step explanation: Largest number

Answer:

175°F

Step-by-step explanation:

The difference between -82 and 0 is 82.

The difference between 0 and 93 is 93.

Add these two numbers together to find the total difference:

82 + 93

= 175

So, the difference is 175°F

Answer:

the answer is d

Step-by-step explanation:

Serious Answer:

It's 2, you can use the calculator

Joke Answer:

Uhh it's 11 !

Answer:

20

Step-by-step explanation:

hope this was right and helpful

Answer:

Price of one pretzel = $1.5

Step-by-step explanation:

Let the price of a hot dog = [tex]x[/tex]

Let the price of a drink = [tex]y[/tex]

Let the price of a pretzel = [tex]z[/tex]

As per the given question statement:

[tex]3x+2y+z=\$16.50..... (1)\\4x+4y+2z=\$26........ (2)\\2x+y+3z=\$13.75..... (3)[/tex]

To find:

The price of one pretzel, i.e. [tex]z=?[/tex]

Multiplying (3) with 2 and subtracting (1) from it:

[tex]x+5z=11[/tex] ..... (4)

Multiplying (3) with 4 and subtracting (2) from it:

[tex]4x+10z=29[/tex] ..... (5)

Multiplying (4) with 4 and subtracting (5) from it:

[tex]10z=15\\\Rightarrow z =\bold{1.5}[/tex]

The price of one pretzel is $1.50.

Let the price of a hot dog = x

Let the price of a drink = y

Let the price of a pretzel = z

So,

The equations are

3x + 2y + z = $16.50 .....(1)

4x + 4y + 2z = $26..........(2)

2x + y + 3z = $13.75........(3)

Now

Here we Multiplying (3) with 2 and subtracting (1) from it:

So, it gives x + 5z = 11 ......(4)

Now

Multiplying (3) with 4 and subtracting (2) from it:

So, 4x + 10z = 29...(5)

Now

Multiplying (4) with 4 and subtracting (5) from it:

So, 10z = 15

x = 1.5

Therefore, The price of one pretzel is $1.50.

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Answer: The answer is Weight(car), or W(c)

Step-by-step explanation: Hope this helps!!

Answer:

THE CORRECT ANSWER IS: EFFICIENCY(weight), or E(w)

Step-by-step explanation:

Answer: it is a non viable solution

If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.

Answer:

non-viable

Step-by-step explanation:

Answer:

a) 0.11277

b) 0.83253

c) 0.67364

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

Mean = $109.55.

Standard deviation = $21.00.

a) What proportion of bills are greater than $135?

z = (x-μ)/σ

z = 135 - 109.55/21

= 1.2119

Probability value from Z-Table:

P(x<135) = 0.88723

P(x>135) = 1 - P(x<135) = 0.11277

The proportion of bills are greater than $135 = 0.11277

(b) What proportion of bills are between $84 and $143?

For x = $84

z = (x-μ)/σ

z = 84 - 109.55/21

= -1.21667

Probability value from Z-Table:

P(x = 84) = 0.11187

For x = 143

z = (x-μ)/σ

z = 143 - 109.55/21

= 1.59286

Probability value from Z-Table:

P(x = 143) = 0.9444

The proportion of bills are between $84 and $143

= P(x = $143) - P(x = 84)

= 0.9444 - 0.11187

= 0.83253

(c) What is the probability that a randomly selected household had a monthly bill less than $119?

For x = $119

=119 - 109.55/ 21

= 0.45

Probability value from Z-Table:

P(x<119) = 0.67364

The probability that a randomly selected household had a monthly bill less than $119 is 0.67364

Answer:

12 multiplied by 8.24=98.88

Subtract 24 from 98.88=74.88

Answer:

144

Step-by-step explanation:

 12

X12

------

If you are writing this problem out by hand, be sure that your numbers are lined up, like above.  This will help you in making sure that you solve each step of your problem properly.

First, start with the 12.  Multiply 12 by the "2" in the one's place, in the second number:

 12

X  2

-----

Begin by multiplying 2 X 2 first, in the "ones" column.

Do you have 2X2=4?  Great!  Put the 4 in the ones column, where your answer would go.

Next, multiply 2 times the 1 digit.  The 1 is actually a 10, because it is in the "tens" column.

2 X10=20

Place your 2 in the "tens" column--It should look like this...

 12

X  2

-----

 24

Since you are finished with the "ones" place, now you will work with the tens column.

put a zero under the 4 in 24.

then continue like this

 12

X12

-----

 24

120      because 12 X10=120

------

144      If you add 24 +120, you should have 144.

If you have a slightly different way of doing this problem, that's OK.  The point is to get the correct answer.

If you have a times table, you can check yourself.

 12 X12=144

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The result of 12×12 is 144.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

To multiply 12×12 can be done as

       1   2

     × 1   2

    ______

1. Multiply 2 to 2, therefore, you will get the first term, thereafter, multiply 2 to 1.

       1   2

     × 1   2

    ______

       2   4

2. Next, leave the place below the first digit and start to multiply 1 to 2 and then to 1 to 1. Therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

3. Now add the term you will get the final result, therefore,

       1   2

     × 1   2

    ______

       2   4

+ 1   2   0

________

  1   4   4

Hence, the result of 12×12 is 144.

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Answer:

Not Inversely Proportional

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

i showed my work

Answer:

Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.

Here is 6 divided by 1/4 displayed mathematically in colors:

6

 ÷    

1

4

The numbers in 6 divided by 1/4 are labeled below:

6 = whole number

1 = numerator

4 = denominator

To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:

6 x 4

1

 =  

24

1

Thus, the answer to 6 divided by 1/4 in fraction form is:

24

1

To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

24 / 1 = 24

The answer is rounded to the nearest two decimal points if necessary.

24/1 is an improper fraction and should be written as 24.

Step-by-step explanation:

Answer:

imagine

Step-by-step explanation:

lol there no picture but lets say its invisible

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

-4 = -7 * 1 + b

-4 = -7 + b

3 = b

y = x + 3

Hope this helps!

Let me know if I'm wrong :)

Answer:

3 yards

Step-by-step explanation:

8 1/2 - 2 1/2 = 6

6 - 3 = 3

Your answer is 3.

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Answer:

1222.2

explanation:

53.95 x 12 = 647.40

17.95 x 12 = 215.40

29.95 x 12 = 359.40

647.40 + 359.40 + 215.40 = 1222.2

The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.

To calculate the total cost for a team of 12 players,

Add up the costs of the required equipment for each player.

The equipment includes a glove, a hat, and a pair of cleats.

Cost of one glove = $53.95

Cost of one hat = $17.95

Cost of one pair of cleats = $29.95

Now, we need to calculate the total cost for each player by adding the costs of all three items:

Total cost per player = Cost of glove + Cost of hat + Cost of cleats

Total cost per player = $53.95 + $17.95 + $29.95

Total cost per player = $101.85

Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:

Total cost for the team of 12 players = Total cost per player × Number of players

Total cost for the team of 12 players = $101.85 × 12

Total cost for the team of 12 players = $1222.20

Therefore, the total cost for a team of 12 players is $1222.20.

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Answer:

Step-by-step explanation:

Given

Let the adult ticket be a and kids be k

We got equations

From the first equation we get

Substituting k in the second equation

Then finding k

Answer:

Step-by-step explanation:

How to add a great answer

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Question

Complete the expression so it forms a perfect-square trinomial.

x² +

x + 49

Answer:

The answer is 14

Step-by-step explanation:

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