A group of 25 people are going to run a race. The top 8 finishers advance to the finals.

Step-by-step explanation:

  [tex]a^{2} + 10a + 24[/tex]

= [tex]a^{2}[/tex] + 6a + 4a + 24

= a(a + 6) + 4(a + 6)

= (a + 6)(a + 4)

Answer:

solution:

[tex] {a}^{2} + 10a + 24[/tex]

a²+6a+4a+24

a(a+6)+4(a+6)

(a+6)(a+4) is your answer

Answer:

[tex](a + 1)(a - 5) \\ {a}^{2} - 5a + a- 5 \\ {a}^{2} - 4 a- 5[/tex]

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)

Answer:

5

Step-by-step explanation:

1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.

2.)  Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.

3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).

4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).

5.) Now, subtract both interquartiles. This should give you your answer (5).

The solution is, D.) 11,115 is the total value of his assets.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

Malcolm's net worth is $3,475.

His liabilities are $7,650.

now, we have,

the total value of his assets is:

we just have to add them.

$3,475 + $7,650

=11125

Hence, The solution is, D.) 11,115 is the total value of his assets.

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The area of the rectangle is A = 4 4/27 inches²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L = 2 2/3 inches

Let the width of the rectangle be W = 1 5/9 inches

So , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 2 2/3 inches x 1 5/9 inches

A = ( 8/3 ) ( 14/9 )

A = ( 112/27 )

On further simplification , we get

A = 4 4/27 inches²

Hence , the area of rectangle is A = 4 4/27 inches²

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Answer:

x<(with a line underneath)-1

Step-by-step explanation:

10-2x>(with a line underneath)12

-10 -10

-2x>(with a line underneath)2

/-2 /-2

x<(with a line underneath)-1

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

Answer:

Step-by-step explanation:

this is about the volume of each size of candle.  so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.  

area of a circle is  = [tex]\pi[/tex][tex]r^{2}[/tex]

then the big candle is [tex]\pi[/tex][tex]2^{2}[/tex] = 12.56637

times 10 for it's height = 125.6637

so that's the big candles volume

then make 20 of those = 2513.27

a small candle is [tex]\pi[/tex][tex]1.5^{2}[/tex] = 7.068583471

and it's 6 cm tall so times 6 = 42.41150082

Now divide the small candle volume into the 20 big ones to see how many small ones can be made

2513.27 /  42.41150082 = 59.259

so just a bit over 59 small candles can be made from 20 big candles

21 is the answer you are looking for.

Step-by-step explanation:

First, plug in the numbers for the variables:

[tex]20-5(-3) + 2(8)[/tex]

Then use order of operations to solve, begin with parenthesis:

[tex]20-15+16[/tex]

Subtract:

[tex]5 +16[/tex]

Add:

[tex]5+16=21[/tex]

So,

[tex]20-5y+2x=21[/tex]

The correct answer is 21

Answer:

2/3

Step-by-step explanation:

REmember that the slope of a line is y/x. To find this, we must use the formula:

y2-y1/x2-x1=y/x

So this is -1 - -7/4- -5. The  -1 -- 7 is actually -1+7. This is 6, meaning y equals 6.

The x is 4 - - 5 is actually 4+5. This is 9, meaning x is equal to 9.

We can now write this as y/x. This would be 6/9.

Once we simplfy this, we get 2/3.

Answer:

2/3

Answer:

V≈1767.15cm³

Step-by-step explanation:

Using the formulas

V=43πr3

d=2r

solving for v

V=16πd3=16·π·153≈1767.14587cm³

hope i helped plz mark me brainlest

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Answer:

I think 2/3

Step-by-step explanation:

sorry if I'm wrong

Answer:

5/12

Step-by-step explanation:

All the others are more than 1/2. This is the only one that is less than half.

Answer:

I think it's B)

Step-by-step explanation:

Answer:

divide by 1k

Step-by-step explanation:

Answer:

Multiply by 1,000

Step-by-step explanation:

Since,

1 litre = 1000ml

Hence,

3.2 litre = 3.2 × 1000 ml = 3200 ml

So,

Option B that is to Multiply by 1000 is correct.

Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

Answer:4

Step-by-step explanation:

30÷8=3.75

3.75=4

Manny need 4 bags.

Answer:

Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).

Step-by-step explanation:

Answer:

4m + 14

Step-by-step explanation:

m = # movies Mia has

2m = # movies Eli has

14 + m = # movies Doug has

Total:  m + 2m + 14 + m = 4m + 14

Answer:

46.77ft^2

Step-by-step explanation:

Answer:

0.24

Step-by-step explanation:  

Answer:

0.24kg

Step-by-step explanation:

The answer is 0.24 kg since

1 gram equals 0.001 kg

1g = 0.001kg

Answer:

ohhhhh and who is the jeweler

Answer:

Your answer is 24.333.

Step-by-step explanation:

..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = [tex]\sqrt{175/16}[/tex]   and  t =  - [tex]\sqrt{175/16}[/tex]

However, as time cannot rewind,  we will  keep only positive solution

So t = [tex]\sqrt{175/16}[/tex]

in seconds  it will be  :  3.3 seconds

Answer: X=dc/10+8/5   X=AB/4 -5 hope it helps

Step-by-step explanation:

Answer:

(1) The angles are 81⁰, 76⁰, 23⁰ and y = 157⁰

(2) The angles are E = 122⁰, P = 40⁰, and Q = 18⁰

Step-by-step explanation:

(1)

Considering the first diagram;

(4x + 29)  + (5x + 11)   +   (2x - 3) = 180 (sum of angles in a triangle)

collect like terms together;

(4x  + 5x  +  2x)  + ( 29 + 11 - 3) = 180

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143 / 11

x = 13

The angles of this triangle are calculated as follows;

4x + 29 =  (4 x 13)  + 29  = 81⁰

5x + 11  = (5 x 13) + 11 = 76⁰

2x - 3 = ( 2 x 13) - 3 = 23⁰

y⁰ + (2x - 3) = 180 (sum of angles on a straight line)

y⁰ + 23⁰ = 180

y⁰  = 180 - 23

y = 157⁰

(2)

Considering the second triangle;

(15m + 17)  +   (7m - 9)   +   (4m - 10) = 180 (sum of angles in a triangle)

(15m + 7m + 4m) + (17 - 9 - 10) = 180

26m - 2 = 180

26m = 180 + 2

26m = 182

m = 182 / 26

m = 7

The angles of this second triangle are calculated as follows;

E: 15m + 17  = (15 x 7) + 17 = 122⁰

P: 7m - 9 = (7 x 7) - 9 = 40⁰

Q: 4m - 10 = ( 4 x 7)  - 10 = 18⁰

Answer:

21

Step-by-step explanation:

4x+6+4x+6=180

8x+12=180

8x=168

x=21

Answer:

X=21

Step-by-step explanation:

Well since its just a right angle you really gotta only solve for one since their their the same things.

4x+6=90

Solve the equation

x=21

Even if you do the two together with 180, same thing.