A four-person relay team completed a race in 73 seconds. On average,
what was each runner's time?

Answer:

[tex]\sqrt{20}[/tex] or 4.47

Step-by-step explanation:

To find the distance between two points on a plane, you can use the distance formula: [tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

Plug your values in to get the distance between the two points.

[tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

[tex]d=\sqrt{(2-4)^2 + (7-3)^2 }[/tex]

[tex]d=\sqrt{(-2)^2 + (4)^2 }[/tex]

[tex]d=\sqrt{4 + 16 }[/tex]

[tex]d=\sqrt{20}[/tex] or 4.47

Answer:

Y=mx+c

(4,2), (3,5)

answer is -3

Step-by-step explanation:

4=x1 and 2=y1

3=x2 and 5=y2

y2-y1/x2-x1

5-2/3-4

3/-1 or -3

since we are finding the slope,we have to minus the y2 from the y1 over the x2-x1 and we minus then simplify.

Answer:

Area = 130 ft^2

Step-by-step explanation:

Area =length * width

Perimeter = 2(L + W)

L=3+x

W= x

Perimeter= 2(3+x+x) =2(3 +2x)=6+4x=46 so x=10

L=3 +10= 13

W= 10

Area = 13* 10 130

Answer:

a particular order in which related events, movements, or things follow each other.

Step-by-step explanation:

By discovering the rule of sequence we can find the missing terms of the sequence.

We need to find why is it important to be able to discover the rule within a sequence.

A sequence is defined as an arrangement of numbers in a particular order. On the other hand, a series is defined as the sum of the elements of a sequence.

It is important to discover the rule within a sequence, because by discovering the rule of sequence we can find the missing terms of the sequence and nth term formula and sum of n terms formula.

Therefore, by discovering the rule of sequence we can find the missing terms of the sequence.

To learn more about the sequence visit:

https://brainly.com/question/21961097.

#SPJ5

Answer:

y = 28.75

x = 26.5

Step-by-step explanation:

I think the amount of the second T-shirts purchased should be 2

Let the cost of each shirt be $ x, and the cost of each sweater be $ y.

Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.

Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.

Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:

         Cost of 3 shirts + Cost of 2 sweaters  = 113

                 Equation 1:       3x + 2y = 113

She was able to buy p shirts and 4 sweaters for $166. This means:

                      2x + 4y = 166

Dividing both sides by 2, we get:

                  Equation 2:    x + 2y = 84                                            

Subtracting Equation 1 from Equation 2, we get:

x + 2y - (3x + 2y) = 166 - 113

x + 2y - 3x - 2y = 53

2x = 53

x = 26.5

Using the value of x, in Equation 2, we get:

26.5 + 2y = 84

2y = 57.5

y = 28.75

Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.

y represents the cost of sweater, so the cost of each sweater is $ 28.75.

Hello There! :)

Option B

A function must pass the Vertical line test. Draw a line. If it touches the graph more than once, it's a relation. If it touches the graph once, it's a function.

Hope this helps!

Answer:

Step-by-step explanation:

There are 3 possible scenarios

1) 5 questions from A and 3 questions from B:

2) 4 questions from each part:

3) 3 questions from A and 5 questions from B:

Total number of ways:

Answer:

Student has to do 8 questions such that he does at least 3 questions from both the sets

How can he go about (Set I, Set II)  =(3,5) or (4,4) or (5,3)

So, total number of ways of doing this is given by 

[tex]5c_{3} \times 7c_{5} + 5c_{4} \times 7c _{4} + 5c_{5} \times 7c _{3}[/tex]

[tex] = (10)(21) + (5)(35) + (1)(35) = 210 + 210 = 420[/tex]

(ノ^_^)ノ

Answer:

i think 6 years

Step-by-step explanation:

The entire rectangle is 4 square units because the two triangles on the top put together makes the same shape as the square in the middle, which makes it 1 square unit. And the two bigger triangles on the bottom can create two squares if you break them apart and rearrange them again. So all of those shapes put together equals 4 square units.

Answer:

I am as lost as you are one of my math assignments is about to lock and don't know anything

Step-by-step explanation:

x(midpoint) = a+b/

x= -2,5+2,5/2

x=0/2

x=0

Answer: 27,64,72,83

Step-by-step explanation: By ascending order it is basically asking you to sort the numbers from least to greatest. So the order would be 27,64,72,and 83.

Answer:

27, 64, 72, 83

Step-by-step explanation:

27

is the least

64

is bigger than 27 yet less than 72 and 83

72

bigger than both 27 and 64 yet is less than 83

83

is last because it is the biggest one of them all

(x-4)^2-11

How?

[tex]\\ \sf\longmapsto (x-4)^2-11[/tex]

[tex]\\ \sf\longmapsto x^2-8x+16-11[/tex]

[tex]\\ \sf\longmapsto x^2-8x+5[/tex]

Verified

-39 is the furthers away from 0

this is because if you draw a number line -16 would be 16 away from 0, 12 would be 12 away from zero and 7 would be 7 away from 0...

| - - - - - - - - - - - - - - - |- - - - - - | - - - - |

16 0 7 12

and -39 would be 39 digits away from 0, therefore its the furthest away from 0

Hope this helped you- have a good day bro cya)

Answer:

-39, or the absolute value of 39 is farthest from 0.

Step-by-step explanation:

-16 is 16 units from 0.

-39 is 39 units from 0.

7 is 7 units from 0.

12 is 12 units from 0.

39 > 16

39 > 7

39 > 12

Hope this helps!

Answer:

The total length is 30.19 centimeters

Step-by-step explanation:

To find the total length, we add 1+9.89+19.3=30.19 cm.

Hope this helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer: I believe it’s -5/6

Step-by-step explanation:

:)

9514 1404 393

Answer:

  the properties of equality tell you so

Step-by-step explanation:

A couple of properties of equality come into play here:

Each of the properties of equality tells you an operation you can perform on an equation without changing the values of the variables that satisfy that equation.

If we start with the equation ...

  5c + 4p = 18.40

and we add 11.20 to both sides, we have not changed the values of the variables that satisfy this equation. This is the addition property of equality.

  (5c +4p) +11.20 = (18.40) +11.20

The substitution property of equality says I can substitute anything for its equal. The second given equation tells me that 2c +4p = 11.20. This means I can use 2c+4p wherever 11.20 might be found without changing any variable values. In the equation we got from addition, we can now make this substitution, and we have ...

  (5c +4p) +(2c +4p) = (18.40) +(11.20)

  7c +8p = 29.60 . . . . . . . collect terms

We obtained this equation using properties of equality that guarantee solutions to these equations are not altered by the process.

_____

*Additional comment

Technically, by doing the "collect terms" step, we have made the assumption that the values of c and p that satisfy the first equation are the same as the values of c and p that satisfy the second equation. This is usually the case we're interested in.

Answer:

Pencils to erasers:  18:12    18/12     18 to 12

Pens to markers:   9:6    9/6   9 to 6

Step-by-step explanation:

Hope this helps!

f(×)=(×+7)(×-1)(×+8)

Answer:

answer is 4

Step-by-step explanation:

we want to get 14

so 14 = -2*-7*1 so when simplifying last equation will get the constan number 14

Step-by-step explanation:

Answer:

2/3125

Step-by-step explanation:

Answer:

32/3125

Step-by-step explanation:

  (2/5)^5 = (2^5) / (5^5)

               = 32 /3125         means 2·2·2·2·2 = 32;   5·5·5·5·5= 3125

Answer:

276 equals the number of pages in the book

35d  the number of pages she read during 1 week

35 equals the number of pages read in 1 day and the number of pages read in d days

Step-by-step explanation:

9514 1404 393

Answer:

  7.84 to 8.16 ounces

Step-by-step explanation:

The difference between the actual amount in the bottle and the target amount of 8 ounces can be at most 2% of 8 ounces. That amount is ...

  0.02×8 oz = 0.16 oz

The amount in the bottle can be this much higher:

  8 + 0.16 = 8.16 . . . ounces

or, it can be that much lower:

  8 - 0.16 = 7.84 . . . ounces

The range of values the bottle could contain is from 7.84 ounces to 8.16 ounces.

Hello!

-b+7y

b=4

y=-3

-4+7(-3)

-4-21

-25

Hope it helps!

~Just a joyful teen

[tex]GraceRosalia[/tex]

Answer:

69 is the answer

-4 plus 73 equals 69

Why? because you have to subtract -4 because is negative and the answer will not be correct.

Answer:

-7, -6, |5|, |-6|, 8

Step-by-step explanation:

Negatives have the least amount. but since the absolute value does not take into account negatives, the actual number amount would be used. And 8 is just the greatest number here.

Answer:

x = 2

Step-by-step explanation:

Answer:

the answer is 4/8 and pls make me a brainiest and follow me

Answer:

-12

Step-by-step explanation:

Geometric sequence: 4/9 ; -4/3 ; 4

Ratio = 2nd term ÷ 1st term = (-4/3) ÷ (4/9)

        [tex]= \dfrac{-4}{3}*\dfrac{9}{4}=-3[/tex]

Each term in the sequence is obtained by multiplying the previous term by (-3)

Next term = 4 *(-3) = -12

i'll ask my teacher tommorow for you

Step-by-step explanation: