The sum of two consecutive numbers is 51, find them.​

Answer:

Proportionality constant = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k = [tex]\frac{d}{t}[/tex]

From the data set one point is (15, 3).

k = [tex]\frac{3}{15}[/tex]

k = [tex]\frac{1}{5}[/tex] miles per second

Therefore, proportionality constant is [tex]\frac{1}{5}[/tex] miles per second.

Answer:

b. 1,200 + 20 + 14

Step-by-step explanation:

617

x

2

______

1234

______

1234 aka. 1,200 + 20 + 14

Answer:

9/4

Step-by-step explanation:

Answer: B (-2,6)

Step-by-step explanation:

I took the test

Answer:

B)20

Step-by-step explanation:

y=10 when x=2 and varies directly so y=5*x

when x=4 then y=5*x=5*4=20

Answer:

a) factors of polynomial are: (x+1)(x-2)(x-5)

b) the required polynomial in standard form is: [tex]\mathbf{x^3-6x^2+3x+10}[/tex]

Step-by-step explanation:

The polynomial has zeros at -1,2,5

Part A) Write the three factors of the polynomial

we have x=-1, x=2 and x=5 as zeros of polynomial

so factors will be:

(x+1)=0, (x-2)=0, (x-5)=0

So, factors of polynomial are: (x+1)(x-2)(x-5)

Part B) Write the polynomial in standard form

For finding polynomial, we will multiply all the factors i.e

(x+1)(x-2)(x-5)

[tex](x+1)(x-2)(x-5)\\=(x(x-2)+1(x-2))(x-5)\\=(x^2-2x+x-2)(x-5)\\=(x^2-x-2)(x-5)\\=x(x^2-x-2)-5(x^2-x-2)\\=x^3-x^2-2x-5x^2+5x+10\\=x^3-x^2-5x^2+5x-2x+10\\=x^3-6x^2+3x+10[/tex]

So, the required polynomial in standard form is: [tex]x^3-6x^2+3x+10[/tex]

Answer:

1. cos(2π + θ) = cosθ

2. tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

explanation:

cot(2π + θ) = cotθ. The Trigonometric ratios of angle 2π - θ: Thinking of θ as an acute angle, 2π -θ ends in the 4th Quadrant where only cosine is positive. 2π -θ means going 1 full turn from A to A and then returning to the M' that means as much as θ.

Answer: cos(2π + θ) = cosθ, tan(2π + θ) = tanθ, cot(2π + θ) = cotθ.

Step-by-step explanation:

impossible event or a probablity of 0

Answer:

0.20

Step-by-step explanation:

add them all up figure out how much is left till you get to 1.00

Answer:

6,162.50 JA

Step-by-step explanation:

Is this true?

72.50x80= 6,162.50 JA

Answer:

1/2

Step-by-step explanation:

Look at a corresponding side

For example, AB in the first triangle and DE in the second.

One side is 18 while the other is 9. To get from 18 to 9 is to multiply 18 by 1/2.

Answer:

3:7

Step-by-step explanation:

3 parts of lemonade to 7 parts punch

Answer:

do you mean in simplest form

if so then it is 2:3

if not then 6

Step-by-step explanation:

Answer:

it is 33÷9

Step-by-step explanation:

33÷9=3.66

366.6%

Answer:

33/9, or 11/3 (Simplified)

Step-by-step explanation:

Since the question is the ratio of plums to apples, the plums will be on top and the apples on bottom. It is 33 to 9, or 33/9, but this can be simplified to 11/3.

Answer:

5.52%

Step-by-step explanation:

Answer:

5.5226824458%

Step-by-step explanation:

Step-by-step explanation:

given data

we are told that there are 3 bags of  dog food

each bag contains 12 pounds

the total pound is =12*3=36 pounds

Choose True or False for each statement.

The word "group" suggests multiplication.  FALSE (A group suggest addtion)

The words "share" and "equally" suggest division. TRUE

The words "each bag" suggest multiplication. TRUE

The word "contains" suggests division. FALSE

Answer:

87

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = [tex]\frac{288}{24} = 12\ units[/tex]

Total units filled by pipe B in one hour = [tex]\frac{288}{36} = 8\ units[/tex]

Total units filled by pipe C in one hour = [tex]\frac{288}{32} = 9\ units[/tex]

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = [tex]12\times 3 =36\ units[/tex]

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = [tex]\frac{232}{29} = 8\ hours[/tex]

Total time taken = 4 + 8 = 12 hours

Answer:

Therefore, the line's equation and the correct slope will be:

[tex]y = 3, m = 0[/tex]

Therefore, option J is correct.

Step-by-step explanation:

As the line is perpendicular to the y-axis means the line is parallel to the x-axis.

so according to the point slop form

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y - 3 = 0 (x - 2)[/tex]

[tex]y - 3 = 0 - 0[/tex]

[tex]y = 3[/tex]

Therefore, the line's equation and the correct slope will be:

[tex]y = 3, m = 0[/tex]

Therefore, option J is correct.

Answer:

1. 20 boxes cost $36. The unit rate is 1:1.8 and when you multiply 1.8 by 5 you get 9. If you also multiply 1.8 by 20 you get 36.

2.He completes 12.5 pages in 200 minutes.

200 divided by 32

multiply that answer by 2

which is 12.5.

hope it helps!

Answer:

the first answer is $36 and I'm pretty sure the second one is 64 pages

Answer:

6/5

Step-by-step explanation:

you multiply by 2

Answer:

he should get $16.20 back

Step-by-step explanation:

Answer:

how you suppose to do dis?

Step-by-step explanation:

i don't understand?

Answer:

2 1/4 Bags of potatoes

Step-by-step explanation:

1/4 = 1/9

8/4 = 2 = 8/9

9/4 = 2 1/4 = 9/9

Please mark me brainliest

Answer:

A. She spends 50% of her money on rent.

Answer:

A. 100 per deposit

Step-by-step explanation:

for every one deposit made, you see your y value increasing by 100

Answer: Choice A is correct

=================================================

Explanation:

Each time x goes up by 1, y goes up by 100 (eg: from 50 to 150, so 150-50 = 100).

We then say,

slope = rise/run

slope = (change in y)/(change in x)

slope = (100)/(1)

slope = 100

The rate of change is $100 per deposit

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

We could also use the slope formula. Pick any two points on the diagonal line. Let's say we picked (1,150) and (3,350)

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

m = (350-150)/(3-1)

m = (200)/(2)

m = 100

Or we could pick (0,50) and (1,150) as our two points

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

m = (150-50)/(1-0)

m = (100)/(1)

m = 100

Either way, the slope is m = 100.

Answer:

$82.50

Step-by-step explanation:

just subtract 1- 1 = 0

so 82.50

Answer:

$81.51

Step-by-step explanation:

I hope this helps!

Answer:

add everything to everything

Step-by-step explanation:

Answer:

It's a 1954 Arnolt Bristol Bolide

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation: