Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
A.
r=130−2.5

B.
130=r2.5

C.
r=1302.5

D.
130=r+2.5

PLEASE HELP! ITS FOR A TEST!!

9514 1404 393

Answer:

  p(x) = x^4 -5x^3 +20x -16

Step-by-step explanation:

If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:

  p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)

__

Multiplying these out gives the result in standard form.

The product of the first two factors is a "special product" recognizable as the difference of two squares.

  (x -2)(x +2) = x^2 -2^2 = x^2 -4

The product of the last two factors can be found in the usual way. The distributive property applies.

  (x -4)(x -1) = x(x -1) -4(x -1)

  = x^2 -x -4x +4 = x^2 -5x +4

Then the full polynomial is the product of these partial products:

  p(x) = (x^2 -4)(x^2 -5x +4)

  = x^2(x^2 -5x +4) -4(x^2 -5x +4)

  = x^4 -5x^3 +4x^2 -4x^2 +20x -16

  p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form

Answer:

80

Step-by-step explanation:

Remark

Every triangle has a measure of 180 degrees.

Equation

Let the base angle = x

x + x + 2x-20 = 180

Solution

4x - 20 = 180

4x = 180 + 20

4x = 200

x = 50

Conclusion

Base angle 1 = 50

Base angle 2 = 50

Vertex angle = 2*50 - 20

Vertex angle = 100 - 20

Vertex angle = 80

Answer:

420 people

Step-by-step explanation:

400*1.05=420

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Answer:

— g(5)=18

Step-by-step explanation:

x=5 into g(x). g(5)=(4×5)−2=20−2=18.

Answer:

Is a 0

Step-by-step explanation:

Answer:

There is no variable factor common to 24a and 6

Step-by-step explanation:

First number = 24a

Other number = 6

Pime factorisation of 24a = 2×2×3×2×a

Pime factorisation of 6= 3×2

Common factors = 6

Hence, there is no variable factor common to 24a and 6, Other common factor is 6.

Answer:

y=1/3x+7/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

m=(y2-y1)/(x2-x1)

m=(3-1)/(2-(-4))

m=2/(2+4)

m=2/6

simplify

m=1/3

y=1/3x+b

y-y1=m(x-x1)

y-1=1/3(x-(-4))

y-1=1/3(x+4)

y-1=1/3x+4/3

y=1/3x+4/3+1

y=1/3x+4/3+3/3

y=1/3x+7/3

Answer:

a = 3

the other root = -7/3

x − 3 = 6 − 2 x = − 8 √ x = 3

Answer:

120

Step-by-step explanation:

All the angles should add up to equal 180 so,

28 + 32 + ? = 180

60 + ? = 180

180 - 60 = 120

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

Answer:

90

Step-by-step explanation:

Answer:

When x=1/2, y=28/3

when x =0, y=9

Equation is y=2/3 x + 9

Step-by-step explanation:

First lets convert them to fractions to make it easier. Also put them in order.

X                     Y

0

1/2  

3/4                  19/2

1                      29/3

6/5                 49/5

You can find the slope since we know 2 points.

(3/4, 19/2) and (6/5, 49/5)

m=3/10 / 9/20

m=2/3

y=2/3 x + b

Lets plug in x and y points to find the y-int

19/2=2/3(3/4) + b

b=9

Therefore y=2/3 x + 9

When x=1/2, y=28/3

when x =0, y=9

Answer:

The reference angle for 155° is 25°

Step-by-step explanation:

The reference angle is the angle that the angle arm makes with the x-axis be it clock wise or anti-clock wise.

The reference angles are obtained by the following reference

0 - 90° => Angle

90° - 180° => 180 - angle

Our given angle is: 155° so we will use the second rule

The reference angle will be:

180° - 155° = 25°

Hence,

The reference angle for 155° is 25°

Answer:

Step-by-step explanation:

let smaller be x

larger number is x+5

4x-3(x+5)=29

4x-3x-15=29

x=29+15=44

x=44

larger number is 49

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283

Answer:

yes they are the same

Step-by-step explanation:

2x + 28 =40

you subtract 28 from both sides

2x + 28 - 28 = 40 - 28

2x=12

divide 12 by 2 and get 6

2(6)=12

2(x + 14)= 40

So, 2(x) + 2(14)

2x + 28 = 40

So they're both the same, just with 2 different ways to solve the same equation...Hope this helps!!

The solution for 2x + 28 = 40 is 6.

The solution for 2(x + 14) = 40 is 6.

Yes, they have the same solution.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2x + 28 = 40

Solve for x.

2x = 40 - 28

2x = 12

x = 6

2(x + 14) = 40

Solve for x.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6

Thus,

The solution for both equations is the same.

Learn more about solutions to equations here:

https://brainly.com/question/545403

#SPJ2

Answer:

25 feet my guy and u deserve a meme scroll down for it

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

2k+4

Step-by-step explanation:

Jeremy ran

2k+4

Jeremy ran 4 more miles than twice of Kate.

Given, distance covered by Kate = k

Let distance covered by Jeremy = x

According to Question :

Distance covered by Jeremy = 4 + 2 × distance covered by Kate

Hence, x = 4 + 2k

Therefore, expression used to represent situation is :

Answer:

$4/ticket; .25ticket per dollar

Step-by-step explanation:

Tyler paid $16 for 4 raffle tickets.

Part 1: What is the price per ticket?

Part 2: How many tickets per dollar?

For part 1, you will divide $16 by 4 tickets.

16/4=4

You can get 4 tickets for $16 so that's $4/ticket.

For part 2, you already know that it is $4 for one ticket. The question wants to know how many tickets you will get for $1. To find this answer you will divide 1 by 4.

4/1 = .25

So you can get .25 of a ticket per dollar.

Answer:

14a+114

Step-by-step explanation:

Answer:

14a+114

Step-by-step explanation:

Since everything is addition you can ignore the parenthesis. So you have 6a+42+8a+72. Now you add the like terms, (6a+8a)+(42+72)=14a+114. Which is your answer!

Answer:

9

Step-by-step explanation:

75 divided by 8 equals 9 remainder 3

Have a good day! :)

Answer:

a. 25/33

b. 36

c. 1/15

d. 35/12

e. 19/12

Answer:

Three times

Step-by-step explanation:

Given

Figures: Rectangular Prism and Rectangular Pyramid

Let the dimension of the prism be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V1) and it is calculated using;

[tex]V_1 = l * w * h[/tex]

[tex]V_1 = lw h[/tex]

Since the pyramid has the same base area and height as the prism, the its dimension would be:

[tex]l = length[/tex]

[tex]w = width[/tex]

[tex]h = height[/tex]

Amount of sand used is the volume (V2) and it is calculated using;

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

So, we have:

[tex]V_1 = lw h[/tex]

[tex]V_2 = \frac{1}{3}*(lwh)[/tex]

Substitute lwh for V1 in the second equation

[tex]V_2 = \frac{1}{3}V_1[/tex]

Multiply both sides by 3

[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]

[tex]3 * V_2 = V_1[/tex]

Reorder

[tex]V_1 = 3 * V_2[/tex]

[tex]V_1 = 3 V_2[/tex]

Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid

Answer:

D

Step-by-step explanation:

Answer:

i think its D! pls let me know if im wrong.

Step-by-step explanation:

Answer:

250 dollars

Step-by-step explanation:

5x50

Answer:

$50 to produce each and $150 would be her income

Step-by-step explanation:

Answer:

Je ne parle pas francais

Step-by-step explanation:

Pardon

Answer: 54 green beads

Step-by-step explanation:

From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.

The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:

= 21.6 / 0.4

= 54 green beads