William has a lemonade stand. It costs him $0.30 to make 3 cups of lemonade. Find the rate of change of his cost and respect to the dozens of cups of lemonade he makes?

Answer:

5 days

Step-by-step explanation:

The question above is modeled by the equation :

150 − 8x = 170 − 12x.

After how many days will both have ye same amount :

Number of days = x

Collect like terms

-8x + 12x = 170 - 150

4x = 20

x = 20/4

x = 5 days

The boys will have the same amount in their account after 5 days.

Answer:

156

Step-by-step explanation:

204/7 = 12

12 x 13 = 156

Answer:

C

Step-by-step explanation:

Both Holly and Emily have the same account balance thus it is equal to

Answer:

Dont listen to the person its actually B

Step-by-step explanation:

On a number line, smaller numbers are to the left of larger numbers.

Negative values are always less than positive values.

So, the following is true.

Holly's account balance < Emily's account balance

Answer:

x = -3/4

Step-by-step explanation:

Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

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Answer:

Step-by-step explanation:

Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle

Answer:

34

Step-by-step explanation:

103+43=146

a triangle always adds up to 180 degrees

180-146=34

so that's the workings hope the answers right

Answer:

The answer is 3, 5, and 9

Answer:

40 years

Step-by-step explanation:

Hulian and Thomas together is 65 years

let us suppose hulian is X

now, so Thomas is x+15

so x+x+15=65

so 2x = 65-15

2x=50

x=25

Hulian is 25

and Thomas is 25+15=40

Answer:

Thomas's age: 40

Step-by-step explanation:

We have:

Thomas's age - Huilan's age = 15 (1)

Thomas's age + Huilan's age = 65 (2)

Add 1 and 2 we have :

2T = 65+15

<=>2T = 80

[tex]<=>T=\frac{80}{2} =40[/tex]

So Thomas's age is 40.

P/s: T is Thomas's age

Answer:45

Step-by-step explanation:

the factors for 90= 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

the factors for 135=1,3,5,9,15,45

the highest numbers that is divide both numbers is 45

Answer:

is reflected across the line x=4

Answer:

d

Step-by-step explanation:

so at 5 hours he  was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

$600 is the average rate of change in profit from Hour 5 to Hour 10

A rate of change is a rate that describes how one quantity changes in relation to another quantity

The given table is

Hour                Profit

0                        $0

2.5                     $500

5                        $900

7.5                     $1200

10                        $1500

5 hours the profit is 900 and 5 hours later he is at a profit 1500

We need to subtract 900 from 1500 to find the average rate of change.

1500-900=600

Hence $600 is the average rate of change in profit from Hour 5 to Hour 10

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Answer:

<2 is 115 degrees

Step-by-step explanation:

<7 and <6 are vertical angles, <6 and <3 and the same, and <3 and <2 are vertical as well

please give brainliest

Answer:

1-7

2-True

3-True

Step-by-step explanation:

1-A

2-true

3-True

Answer:

132

Step-by-step explanation:

easy  66,000 * .002

Step-by-step explanation:

Since we are not given the required parameters, we can use the following parameters

Given:  

∠ A  =  5 x + 30 °

∠ B  =  2 x

Since △ABC is isosceles with AB = BC, then ∠ A  = ∠ C (the base angles of an isosceles triangle are equal)

Since sum of angle in a triangle are the same, then;

∠ A  + ∠ B + ∠ C = 180°

Substitute the given functions and get x;

5x+30 + 2x + 5x+30 = 180

12x + 60 = 180

12x = 180-60

12x = 120

x = 120/12

x = 10°

∠ A  = 5x+30

∠ A  = 5(10)+30

∠ A  = 80°

Since ∠ A  =∠ C

∠ C = 80°

For ∠ B;

∠ B = 2x

∠ B = 2(10)

∠ B = 20°

Let AB = 1, since AB = BC, BC = 1

To get AC, use the sin rule;

a/sin∠ A  = b/sin∠ B

a/sin80 = 1/sin20

asin20 = sin80

a = sin80/sin20

a = 0.9848/0.3420

a = 2.879

Hence AC ≈ 3

Note that the values of the sides and angles are assumed.

Answer:

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Step-by-step explanation:

Given polynomials is:

[tex]p(x) = 2x^3-3x-5[/tex]

We have to find p(-2)

This means that we have to find the value of the polynomial at -2. Finding value of a polynomial at a certain number is done by putting the number in the polynomial in place of variable. So putting x = -2

[tex]p(-2) = 2(-2)^3-3(-2)-5\\= 2(-8)+6-5\\= -16+1\\=-15[/tex]

Hence,

The value of p(x) at -2 is:

[tex]p(-2) = -15[/tex]

Answer:

4 ft per second

Step-by-step explanation:

We are given that it takes 50 seconds to go 200 feet

in order to find the ft/second, we divide by 50

50/50=1

200/50=4

so 4 ft/ 1 second

Answer:

Slope of line A is 1/3

Equation of Line B is y = 2x + 4

Answer:

Option D

Step-by-step explanation:

x-axis is the Celsius and

y-axis is the Farenheit

If you look at the points in the table, you will notice that the only graph that contains points (0,32), (10,50), (15,59) is option D.  You can assume point (30,86) will also be in the graph by looking at the way the line is going.

This is the same as graphing a line with a point (x,y).

I hope this helps.

Answer:

3x + 7 = -20

3x = -20-7

3x = -27

3x ÷ 3 = x

- 27 ÷ 3 = -9

x= -9

Answer:

John would jog 1 more mile than any

Step-by-step explanation:

If you solve for the rate of which they both jog you would know that John jogs 6 miles an hour and Amy would jog at a rate of 5 miles an hour

Answer:

12/26 + 6/11 = 12+6/11 ............

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

Answer:

A.  the number of textbooks in a classroom

Step-by-step explanation:

quantitative data  is information about quantities; that is, information that can be measured and written down with numbers.

Answer:

3.14

Step-by-step explanation: