What is the percent change from 6,000 to 9,000

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

Answer:

Slope: -2/7

Step-by-step explanation:

Slope is change in y over change in x.

(4-6)/(10-3)

= -2/7

Answer:

29%

Step-by-step explanation:

The probability that Laura does not win the prize is 0.9657

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that Laura wins be = P ( x )

So , the probability that Laura does not win is = 1 - P ( x )

Let the total number of raffle tickets to be sold is = 350 raffle tickets

The number of tickets Laura bought = 12 raffle tickets

Therefore , the probability that Laura wins the prize =
number of tickets Laura bought / total number of raffle tickets

The probability that Laura wins the prize P ( x ) = ( 12/350 )

Now ,

The probability that Laura does not win is = 1 - P ( x )

The probability that Laura does not win = 1 - ( 12/350 )

The probability that Laura does not win = ( 350 - 12 ) / 350

The probability that Laura does not win = 338 / 350

The probability that Laura does not win = 0.9657

Hence , The probability that Laura does not win the prize is 0.9657

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Answer:

why did you put this as a question?  you seriously could have just saved some points and commented it on a question you know

Step-by-step explanation:

Answer:

[tex]r=\frac{5}{2}\sqrt{2}[/tex]

Step-by-step explanation:

Triangles And Circles

If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.

The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):

[tex]d^2=5^2+5^2[/tex]

[tex]d^2=25+25=50[/tex]

[tex]d=\sqrt{50}[/tex]

Since 50=2*25:

[tex]d=5\sqrt{2}[/tex]

Thus the radius of the circle is:

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{5\sqrt{2}}{2}[/tex]

[tex]\boxed{r=\frac{5}{2}\sqrt{2}}[/tex]

Answer:

Relationship: [tex]y =2.92x+4.23[/tex]

They are not proportional

The value is $33.43

Step-by-step explanation:

Given:

[tex]x = years[/tex]

[tex]y = amount[/tex]

When he retired, the expression is:

[tex](x_1,y_1) = (0,4.23)[/tex]

and the rate (m) is:

[tex]m = 2.92[/tex]

Solving (a): The relationship between y and x

This can be solved using the following point-slope formula:

[tex]y - y_1=m(x-x_1)[/tex]

Substitute values for x1, y1 and m

[tex]y - 4.23=2.92(x-0)[/tex]

[tex]y - 4.23=2.92(x)[/tex]

Make y the subject

[tex]y =2.92(x)+4.23[/tex]

[tex]y =2.92x+4.23[/tex]

Solving (b): Are they proportional?

No, they are not

A proportional relationship is expressed as:

[tex]y = mx[/tex]

By comparing this to [tex]y =2.92x+4.23[/tex]; they have different format

Solving (c): Value in 2010?

First, we determine the value of x in 2010

2000; x = 0

2001; x = 1

---

--

-

2010; x = 10

Substitute 10 for x in [tex]y =2.92x+4.23[/tex]

[tex]y = 2.92*10+4.23[/tex]

[tex]y = 29.2+4.23[/tex]

[tex]y = 33.43[/tex]

Answer:

Amount got by Natasha = £52

Step-by-step explanation:

Given that:

Ratio of Sushil, Natasha and Fiona's share = 1:4:2

Amount of money received by Sushil and Fiona = £39

Let,

x be the number of times.

x+2x = 39

3x = 39

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{39}{3}\\x=13[/tex]

Share of Natasha = 4x = 4(13) = £52

Hence,

Amount got by Natasha = £52

Answer:

430,000 dollars will be spent on education.

Step-by-step explanation:

np

Answer:

Object A will have greater acceleration.

Step-by-step explanation:

Given that,

The mass of object A = 50 kg

The mass of object B = 75 kg

They were pushed with the same amount of force.

We know that, the force acting on an object is given by :

F = ma

Here F is same for both mass

[tex]m_1a_1=m_2a_2[/tex]

Mass and acceleration have inverse relation. It means the object whose mass is less will have greater acceleration. Hence, the acceleration is greater for object A.

Answer:

if it's me I would pick etherbc are d I holp it helps

the answer is 2 x 10^7 :D

quack quack quack (hopefully this helps)

Answer: 20,000,000 or 2 × 10^7

Step-by-step explanation:

(6 × 10²) ÷ (3 × 10^-5)

(6 × 100) ÷ (3 × 0.00001

)

600 ÷ 0.00003

20,000,000

or

2 × 10^7

Hope this helped!

Answer:

Step-by-step explanation:

so coz there was already 11 inches but after 20min the tank is 56inch so wht u do is this

45+11t if im right

Answer:

10,935 bunnies at the end of 7 weeks  

Step-by-step explanation:

5 x 3 = 15

            ^  x 3 = 45

                          ^ x 3 = 135

                                        ^  x 3 = 405

                                                        ^  x 3 = 1,215

                                                                         ^ x 3 = 3,645

                                                                                         ^ x 3 = 10,935

I may be way off, forgive me, but I hope this helps anyway, have a good day!!

Answer:

-4n<-8 the answer for this is (n>2)

n+1<=-3 the answer for this is (n<=-4)

The value of n is less than equal to negative 4 and greater than 2. n ≤ –4 and n > 2.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequalities are given below.

n + 1 ≤ –3  …1

–4n < –8   …2

On solving equation 1, we have

n + 1 ≤ –3

     n ≤ –4

On solving equation 2, we have

–4n < –8

    n > 2

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Answer/Step-by-step explanation:

Given two points on a line, (-4, 10) and (0, 2), the slope of the line is calculated as follows:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-4, 10) = (x_1, y_1) [/tex]

[tex] (0, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] slope (m) = \frac{2 - 10}{0 - (-4)} [/tex]

[tex] slope (m) = \frac{-8}{4} = -2 [/tex]

Slope = -2

The wrong formula was used. Slope is supposed to be change in y over change in x. Rather the difference of each coordinates was solved and divided by each other, which makes the whole calculation wrong.

Given:

The function is

[tex]d(x)=850(0.94)^x[/tex]

To find:

The domain of the function.

Solution:

Domain is the set of input values.

We have,

[tex]d(x)=850(0.94)^x[/tex]

It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.

The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.

Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.

Answer:

-23

Step-by-step explanation:

firstly u need to substitute a to 1/4 and b to 6

16(1/4) to the power of 2 - 4(6) equal to -23

Answer:

2 teaspoons for the two frozen cookies

3/4 a cup for the cooking oats

2 cups for the flour

Step-by-step explanation:

First Question

The recipe makes 18 cookies. Divide the cookies by 9, half of the batch, to get 2. Now all you have to do is devide the amount of vanilla extract by 9, it will give you two teaspoons.

1 and 1/2 devided by two since you're devidng the recpie by two to get 9 cookies. A cup is four so 3/4 plus 3/4 equals 6/4. Simplified it'd be 1 and 1/2 or 1 and 2/4.

The recipe already calls for 1 and 1/2 a dozen. All you're doing is multiplying the recipe b two to get 3 dozen cookies. Now focusing our attention to the flour, there is 1 cup for 1 and 1/2. Multiply 1 by 2 since there is already half of the recipe here. 1 and 1/2 + 1 and 1/2 is 3 so there'd be 2 cups. Basically just double the recipe.

Answer:

3/4 but if its in decimal form then 0.75

Step-by-step explanation:

Answer:

Area =9π

Step-by-step explanation:

A=π times r^2

Substitite 3 in for r and get 3^2=9 then multiply by π to get 9π as your answer

Answer:

[tex]C.112[/tex]

Step-by-step explanation:

[tex]First,\\Lets\ list\ out\ all\ the\ primes\ between\ 50\ and\ 60:\\53,59\\Hence,\\By\ adding\ them\ we\ get:\\53+59\\=112[/tex]

The age of John is 41 years.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

John is 5 years older than Samantha and Samantha is twice as old as Tim.

And, The sum of their ages is 95.

Now,

Let the age of Tim = x

Then, Age of Samantha = 2x

And, Age of John = 2x + 5

Since, The sum of their ages is 95.

So, We can formulate;

⇒ x + 2x + (2x + 5) = 95

⇒ 5x + 5 = 95

Subtract 5 both side, we get;

⇒ 5x + 5 - 5 = 95 - 5

⇒ 5x = 90

Divide by 5, we get;

⇒ x = 18

Thus, The age of John = 2x + 5

                                   = 2 × 18 + 5

                                   = 36 + 5

                                   = 41

Therefore, The age of John is 41 years.

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Answer:

a.) 3x = 18 (where x = width)

b.) Area = 66 squared feet

Step-by-step explanation:

2{x + (2x-1)} = 34

3x - 1 = 17

x = 6 feet

length = 11 feet

Area = x (2x -1)

Answer:

what??

Step-by-step explanation:

Answer:

n - 20 ≥ 15

n ≥  35

Step-by-step explanation:

a number could be greater than or equal to 35 and be a solution

Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = [tex]\frac{80}{360}(2\pi) (18)[/tex]

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ the \ horizontal \ distance \ is \ 11.47 \ feet . }}}[/tex]

Given that Scott is using a 12 foot ramp . And the height of the truck is 3.5 feet from the ground. And we need to find the horizontal distance of the ramp reaches the ground of the truck .

Here will be a formation of a right angled triangle in which the

On using Pythagoras Theorem ,

[tex]\red{\bf \implies base^2+perpndicular^2=hypontenuse^2}\\\\\bf\implies (12 ft )^2 = base^2 + (3.5 ft )^2\\\\\bf\implies 144ft^2 = base^2+12.25 ft^2 \\\\\bf\implies base^2 = 144ft^2-12.25ft^2 \\\\\bf\implies base^2 = 131.75 ft^2\\\\\bf\implies base=\sqrt{131.75ft^2}\\\\\bf\implies\boxed{\red{\bf base = 11.47 ft }}[/tex]

Step-by-step explanation:

8. ∠COB and ∠AOD are vertical angles or C

9. Vertical angles are equivalent to each other so 4x-16 = 112°

4x - 16 = 112°

4x - 16 + 16 = 112 + 16

4x = 128

4x/4 = 128/4

x= 32° or D

10. ∠AOC is vertical to ∠DOB therefore the 2 angles are congruent

You can do 360 - (112 + 112) = 2AOC

360 - 224 = 2AOC

136 = 2AOC

AOC = 68°or A

OR

You could just do 180 -112

Since ∠AOD and ∠AOC are supplementary angles, they both add up to 180°

We already know the measure of ∠AOD, it's 112°

So all you would need to do is subtract 112 from 180

And you get 68° or A

I REALLY hope this helps!!!

Given:

1,5,25,61.....

To find:

The following number.

Solution:

We can see a pattern in the given sequence.

[tex](-1)^2+(0)^2=1+0=1[/tex]

[tex](1)^2+(2)^2=1+4=5[/tex]

[tex](3)^2+(4)^2=9+16=25[/tex]

[tex](5)^2+(6)^2=25+36=61[/tex]

Using this pattern the next term is the sum of squares of 7 and 8.

[tex](7)^2+(8)^2=49+64=113[/tex]

Therefore, the next number is 113.

Answer:

y=−3

Step-by-step explanation:

Answer:

(5x-7)(x+1)

Step-by-step explanation:

Here, we want to factor the given polynomial

That would be;

5x^2-7x+5x-7

= 5x^2+5x-7x-7

= 5x(x + 1) -7(x + 1)

= (5x-7)(x+ 1)