The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters
apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters
from the last hurdle to the finish line, how long is the race? Show your work.

Answer:

a

Step-by-step explanation:

The system of equations is represented by lines s and t will be,3x + 5y = - 18 and 5x - 9y = 25.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

For S,

x ⇒  -5    2    4

y ⇒   4    10   22

For T,

x⇒ -4   0    5

y⇒ 14   6    -4

Since the equation represented by lines s and t will be verified by the given value for the x and y.As a result, the equation given in option C satisfies all the given points.

Thus, the system of equations is represented by lines s and t will be,3x + 5y = - 18 and 5x - 9y = 25.

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Answer:

33 pounds

Step-by-step explanation:

Your weight on the Moon is 16.5% what you would experience on Earth. In other words, if you weighed 100 kg on Earth, you would weigh a mere 16.5 kg on the Moon. For you imperial folks, imagine you tipped the scales at 200 pounds. Your weight on the Moon would only be 33 pounds.

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

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Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75

Answer: mixed fraction 4 1/2   improper fraction 9/2  decimal 4.5

Step-by-step explanation:

Answer:

2700

Step-by-step explanation:

i think it is becaus you have to do l x w x h

Answer: the range is 8

Step-by-step explanation:

Answer:

The rate is $18.15 per mile.

Step-by-step explanation:

Add $18 + $0.15 and it equals $18.15.

Answer:

11 miles ah day

Step-by-step explanation:

11.5 x 12

Answer:

138 divided by 12 =11.5

Step-by-step explanation:

or you can do 11.5 x 12 to check your answer

Answer:

She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.

For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.

That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.

Step-by-step explanation:

Answer:

x=16/3

Step-by-step explanation:

5x−2(x+1)=14

Distribute

5x -2x -2 =14

Combine like terms

3x -2 =14

Add 2 to each side

3x-2+2 =14+2

3x=16

Divide each side by 3

3x/3 = 16/3

x=16/3

Answer:

x = 16/3

Step-by-step explanation:

5x - 2(x + 1) = 14

~Simplify

5x - 2x - 2 = 14

~Combine like terms

3x - 2 = 14

~Add 2 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

Answer:

The second choice; KJL and HGJ

Step-by-step explanation:

These 2 angles are corresponding angles

Answer:

Assuming you wanted the expression simplified, the answer is 8x-5

Step-by-step explanation:

this is a great online math calculator site, Mathw ay. I hope it helps! have a great day mark as brainlest!

Answer:

solve

Step-by-step explanation:

it

A graph is said to be symmetric about the y -axis if whenever (a,b) is on the graph then so is (−a,b) . Here is a sketch of a graph that is symmetric about the y -axis. A graph is said to be symmetric about the origin if whenever (a,b) is on the graph then so is (−a,−b) .

hope this helped u <3

Answer: How do you describe the symmetry?

If f (-x), then the graph of f(x) is symmetrical with respect to. A function symmetrical with respect to the y-axis is called an even function. A function that is symmetrical with respect to the origin is called an odd function.

Step-by-step explanation: hope I help you with your problems

Answer:

12

Step-by-step explanation:

12x12= 144

Answer:

what

Step-by-step explanation:

what are you asking

Answer

he diameter of the circle is 22 units.

x² + y² - 16x + 12y = 21    

If this answer is correct, please make me Brainliest!

HAVE AN AMAZING DAY GOODLUCK

-Ary

Answer:

hi i have a question please chat me ok

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the answer is an percent

Answer:

it's being divided by -5

Step-by-step explanation:

-5m= -40

m=8

The operation is being done to the variable in the equation -5m = -40 is multiplied by -5.

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The equation is given as; -5m = -40

-5m= -40

Solving, multiplied by -5.

m= - 40/-5

m = 8

Therefore, the operation is being done to the variable in the equation -5m = -40 is multiplied by -5.

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Answer:

F=-6

Step-by-step explanation:

2f/2=-12/2

f=-6

Answer: -6

Step-by-step explanation:

what times 2 = -12

2 * -6 = -12

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x - y = 5

3x - -2 = 5

Could also be written as:

3x + +2=5

(3x1) + 2 = 5

3 + 2 =5

x=1

Answer:

$16.22

Step-by-step explanation:

When 18 dollars is discounted by 15%, we first need to find what 15% of 18 is. 18 times .15 is 2.7, and 18-2.7 is 15.3.

Then, we need to find the sales tax, which applies to the discounted price. 15.3 times 0.06 is 0.918. Add that to 15.3 and you get 16.218, or about $16.22. Hope this helped! :D

Answer:

[tex]p=12x-10[/tex]

Step-by-step explanation:

Perimeter is just adding all of the sides' lengths together, so we can put all of them into one big equation and then combine like terms.

[tex]p=x+(2x+5)+(6x-17)+(3x+2)\\p=12x-10[/tex]

Hope this helps!

Answer:

36 times.

Step-by-step explanation:

The numbers above 3 make up 40 percent of the spinner. So take 40% of 90 to get an answer of 36

Answer:

Eukaryotes may also be single-celled. Both prokaryotic and eukaryotic cells have structures in common. All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. The plasma membrane, or cell membrane, is the phospholipid layer that surrounds the cell and protects it from the outside environment.

Answer:

Step-by-step explanation:

Multiply it by 0.75, or find 3/4 of that number. Whichever you prefer! The first one always works though the second one sometimes does but sometimes 3/4 of the number isn't that obvious.

Answer:

Multiply the number you want to find 75% of by 0.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

4•6 = 246=? (24)30÷ 5= 6= 16= 3066665 units = 30WaterOther drinks1 unit = 16= 16JuniorsSeniors1 unit = 6= 16  

Mr. Edgett has 24 juniors in his class.

Answer:

24

Step-by-step explanation:

Answer:

y = 21

Step-by-step explanation:

y = 3(4) + 9

= 12 + 9

= 21

Answer:

7

Step-by-step explanation:

the number = x

8x + 4 = 60

8x = 56

x = 7