what was the average speed of the winner in miles per hour? Explain

Answer:

y = (4/3)x − 10

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.

y = mx + b

Subtract 4x from both sides of the equation.

−3y = 8 − 4x

Divide each term by −3 and simplify.

Divide each term in −3y = 8 − 4x by −3.

        (−3y/−3)= (8/−3) + (−4x/−3)

Cancel the common factor of −3.

         y= (8/−3) + (−4x/−3)

Simplify (8/−3) + (−4x/−3)

         y= (4x/3 - 8/3)

Reorder terms.

         y= 4x/3 - 8/3

Using the slope-intercept form, the slope is 4/3

         m = 4/3

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope 4/3 and a given point (6, −2) to substitute for  [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])

y − (−2) = (4/3) ⋅ (x − (6))

Simplify the equation and keep it in point-slope form.

y − (−2) = (4/3) ⋅ (x − (6))

solve for y

y = (4/3)x − 10

Answer:4 1/2  Teaspoons  of vanilla will be left in the bottle

Step-by-step explanation:

Step 1

Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla

Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons

= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.

Step 2

If a bottle of vanilla contains = 12 teaspoons of vanilla

After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla

Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2

Therefore 4 1/2  Teaspoons  of vanilla will be left in the bottle

Answer:

EXACT ANSWER: 6.666666666667

ANSWER ROUNDED: 7

Step-by-step explanation:

lol, I can't explain well, but it's correct.

Answer:

46

Step-by-step explanation:

6*5

-2*-8

30+16=46

Answer:

It would be 46

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Input 3 for x

f(x)=2^3+1

f(3)=2^3+1

f(3)=8+1

f(3)=9

Answer:

(3x+4)(x³+2)

Step-by-step explanation:

Follow me Please

Answer:

Hope it can help you and mark me as brainlist.

Answer:[tex]x<−95+3y5[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

Answer:

false

Step-by-step explanation:

3(0) - 2(-5) = 10

the < says it cannot be equal

Answer:

$20.75

Step-by-step explanation:

The answer is $21.50

Explain:

$8.60 / 4 = $2.15

$2.15 x 10 = $21.50

Could I have brainliest?

Answer

3.26$

Step-by-step explanation:

Answer:

Jada

Step-by-step explanation:

Jada traveled faster (45mph) and Andre traveled a longer distance (228 miles) but went 38mph, concluding that Jada traveled faster.

45x3=135 (Jada)

38x6=228 (Andre)

Answer:

150

Step-by-step explanation:

To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150

Answer:

150 degrees.

Step-by-step explanation: Just divide 360 by 24 then times by 10.

Answer:

82 units

Step-by-step explanation:

From the image, we can see that the 2 triangles are similar triangles.

Thus:

BC = EF

BD = EG

CD = FG

Now, BD = 4x - 9 and EG = 2x + 15

Thus;

4x - 9 = 2x + 15

4x - 2x = 15 + 9

2x = 24

x = 24/2

x = 12

Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39

Also, EF = BC = 17

FG = 26

Thus, perimeter of triangle EFG is;

P = 26 + 17 + 39

P = 82 units

Answer:

50 employees

Step-by-step explanation:

The total number of employees the business has will have to be made up the full-time employees and part-time employees.

The number of full-time employees = 15

Let the total number of  employees = x

[tex]15 = 30 percent of x[/tex]

[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]

The company has a total of 50 employees

Answer:

x=5

Step-by-step explanation:

[tex]3(x+2)=21[/tex]

[tex]3x+6=21[/tex]

[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]

Answer:

x = 5

Step-by-step explanation:

You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6

Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21

Then you subtract 21-6 to get 15. 3x = 15

Then you are left with 3x = 15.

Divide 3 from both sides and you get x =5.

Answer:

Equation for the problem

3x + 15 = 51 laps

Hence

She swims on

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

Step-by-step explanation:

Ella swims four times a week at her club's pool.

We are told that:

She swims the same number of laps on Monday, Wednesday, and Friday.

Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x

Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem

= x + x + x + 15 = 51 laps

3x + 15 = 51 laps

Hence

3x = 51 - 15

3x = 36

x = 36/3

x = 12 laps

Therefore, She swims on:

Monday: 12 laps

Wednesday : 12 laps

Friday = 12 laps

Answer:

y = -2/3x + 8

Step-by-step explanation:

Answer:

I'm assuming you need to distribute. When simplified the expression is 42p-28

Step-by-step explanation:

Answer:

24p-28

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

                            .

Answer:

b

Step-by-step explanation:

Answer:

the answer is 7.25

Step-by-step explanation:

Hope this helps :)

Answer:

kyle has got 1/4 of your laundry xD

Step-by-step explanation:

laundry=1

3/4=1 person

1-3/4=1/4

so 1/4=kyle

Answer:

Kyle has 1/4 of the laundry.

Step-by-step explanation:

If one person has 3/4 that means there is 1/4 left.

 So, Kyle has 1/4 left to do.

Answer:

X is greater than or equal to 3

Step-by-step explanation:

As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3

Answer:

i think its A or B but im not really sure,most likely A =w=

Answer:

Percent

Step-by-step explanation:

lol I just got it right

Answer:

2

Step-by-step explanation:

You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.

Answer:

65°

Step-by-step explanation:

The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°

Answer:

8x - 1

Step-by-step explanation:

Combine like terms. 3x and 5x are like terms.

3x + 5x -1 = 8x - 1