The data for three different relay race runners is represented below. Use the representations of each runner to determine which runner starts running closest to the starting line.

Answer:

k=192

Step-by-step explanation:

switch sides

[tex]\frac{k}{12} =16[/tex]

multiply both sides by 12

[tex]\frac{k}{12x12}[/tex]= [tex]16x12[/tex]

12x12 would get cancelled out and 16x12 is 192

[tex]k=192[/tex]

hope this makes sense

Answer:

One solution

Step-by-step explanation:

maybe

Answer:

There is only one solution to the equation.

x = 0

Step-by-step explanation:

Let rewrite the following equation so that x will be separated from the other numbers. So we do the following......

[tex]\frac{x+4}{4} = \frac{x +3}{3}[/tex]

[tex]12(\frac{x+4}{4}) = 12(\frac{x +3}{3})[/tex]

[tex]3(x +4) = 4(x+3)[/tex]

[tex]3x +12 = 4x +12[/tex]

[tex]12 = 4x - 3x +12[/tex]

[tex]0 = x[/tex]

Answer:

-√5/5

Step-by-step explanation:

Given the following

sin(A) = 4/5

sinB - -2√5/5

SinA = 4/5 = opp/hyp

We can get cosA

opposite = 4

hypotenuse = 5

Adj = √5²-4² (pythagoras theorem)

Adj = √25-16

Adj = √9

Adj = 3

Cos A = Adj/hyp

Cos A = 3/5

Also

Sin B = -2√5/5 = opp/hyp

opposite = -2√5

hypotenuse = 5

Adj = √5²-(2√5)² (pythagoras theorem)

Adj = √25-20

Adj = √5

Cos B = Adj/hyp

Cos B =  √5/5

Evaluate cos (A-B)

cos (A-B) = cosAcosB + sinAsinB

cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)

cos (A-B)  = 3√5/25 - 8√5/25

cos (A-B) = -5√5/25

cos (A-B) = -√5/5

Hence the value of cos (A-B) is -√5/5

Answer:

8+7d

Step-by-step explanation:

So forest you combine like terms

4+4=8

There are no longer any like terms so your finished product is 8+7d

15.5 FT　ビューティー　いつもお世話になっております。日gヘリ　16

the awnser is #3

k=96

Answer:96

Step-by-step explanation:

4 can go into 96 24 times

Answer:

6

Step-by-step explanation:

the answer is 6

Answer: The first one

Step-by-step explanation:

3a + 11 > 5

Subtract 11 from both sides:-

3a > 5 - 11

3a > -6

a > -2

Answer:

It would be the first one

Step-by-step explanation:

problem---> 3a + 11 > 5

FIND a

1. Subtract 11 from both sides:-

which would look like this "3a > 5 - 11"

=3a > -6

a > -2

ANSWER; C.

Answer:

Option D is correct .

Step by step explanation:

A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.

So for finding its inverse , exachange x with y .

⇒ g(x) = -2x⁵ - 2 .

Let g(x) = y ,

⇒ y = -2x⁵ - 2 .

Replace x with y ,

⇒ x = -2y⁵ - 2

⇒ x + 2 = -2y⁵

⇒ y⁵ = x+2 / -2

⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)

⇒ y⁵ = -x - 2/ 2

⇒ y = ⁵√ [ ( -x -2)/2 ]

Hence the inverse of the function is ,

[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]

Answer:

25

Step-by-step explanation:

Step one:

given data

We are told that Shaneya purchased a membership to play basketball at her local gym.

Costs =  $75 for the year,

Rent =  $3 for equipment each time she goes

Given that she has $150 to spend,

Step two:

Firstly, let us model the situation

let the total amount she has to spend be y

and the number of time she goes to the gym be x

y= 75+3x

for y= 150, let us find the value of x

150= 75+3x

150-75= 3x

75= 3x

divide both sides by 3

x= 75/3

x=25 times

The maximum amount of times is 25

Answer:

x = 0

x = (-1/2,0)

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.

hope this helped

Answer:

2.33

Step-by-step explanation:

Answer:

go to your hundredths place. since 4 is not greater than 5 then it would round down. so the final answer would be 2.33

Answer:

A: 11 cents per ounce

B: 11.5 cents per ounce

C: 14 cents per ounce

Bag A would be the best buy

Answer:

y

Step-by-step explanation:

Answer: I don't know I'm sorry

Answer:

Solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

Step-by-step explanation:

We need to solve the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex]

Solving:

[tex]0(5x+2)=2(9x-6)[/tex]

We know that multiplying anything by zero we get zero

[tex]0=2(9x-6)[/tex]

Switching sides

[tex]2(9x-6)=0[/tex]

Multiplying 2 with terms inside the bracket

[tex]18x-12=0[/tex]

Adding 12 on both sides

[tex]18x-12+12=0+12\\18x=12[/tex]

Divide both sides by 18

[tex]\frac{18x}{18}=\frac{12}{18}\\x=0.666[/tex]

Rounding to nearest hundredth we get:

[tex]x=0.67[/tex]

So, solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

Answer:6:45

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

a ratio is just a fraction

9:45 = 9/45

6:x = 6/x

now you have 9/45 = 6/x

cross multiply:

9 * x = 45 * 6

9x = 270

divide both sides by 9

9x/9 = 270/9

x = 30

Answer:

45 i got it wrong twice and this is what it gave me

Step-by-step explanation:

Answer:

(2,-3)

Step-by-step explanation:

I thought you'd actually have to calculate it but I guess they just wanted to give you guys a graph lol

Answer:

Sale price of the watch = $60

Step-by-step explanation:

Given that:

Cost of the watch at Macy's = $150

Discount on watch = 60%

Amount of discount = 60% of cost

Amount of discount = [tex]\frac{60}{100}*150[/tex]

Amount of discount = 0.60*150 = $90

Price after discount = 150-90

Price after discount  = $60

Hence,

Sale price of the watch = $60

Answer:

it's answer is y + 185 = 250; y = 65

hope it helps you

Answer:

Step-by-step explanation:

The expression for the total distance covered.

k + (k + 8) + (k - 2)

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance biked:

Jackson = k

Maria = k + 8

Peter = k - 2

Now,

The total distance biked.

= k + k + 8 + k - 2

= 3k + 6

= 3 (k + 2)

Thus,

The total distance covered is 3 (k + 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

7x < 60

Step-by-step explanation:

Answer:

8f - 8d + 2e

Step-by-step explanation:

8f-12d+4d+2e = 8f - 8d + 2e

Answer:

−8d+8f+5.436564

Step-by-step explanation:

Let's simplify step-by-step.

4(2f−3d)+2(2d+2.718282)

Distribute:

=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)

=8f+−12d+4d+5.436564

Combine Like Terms:

=8f+−12d+4d+5.436564

=(−12d+4d)+(8f)+(5.436564)

=−8d+8f+5.436564

Answer:

=−8d+8f+5.436564

Step-by-step explanation:

We can use standard form to make it simpler to deal with.

0.45=45×10^-2

0.3=3×10^-1

Now 45÷3=15

10^-2÷10^-1=10^-1

So the answer is 15×10^-1 OR 1.5

Answer:

n=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(2n+5)=66

(6)(2n)+(6)(5)=66(Distribute)

12n+30=66

Step 2: Subtract 30 from both sides.

12n+30−30=66−30

12n=36

Step 3: Divide both sides by 12.

12n/12    = 36/12

n=3

Answer:

n = 3

Step-by-step explanation:

Distribute 6 into 2n+5, which is 12n +30

Subtract 30 from 66, which is 36

Divide 36 by 12

You're left with n = 3

Or in numbers:

6(2n+5)=66

12n+30=66

12n=36

n=3

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

We are given:                                                                                                        

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

Solving for x:                                                                                                          

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

Solving for y:_______________________________________________  

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11