Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y< -5

Answer: 350% increase

divide 42 by 12

42 / 12 = 3.5

change 3.5 into a percentage

3.5 = 350%

Step-by-step explanation:

formula to find volume of a cylinder => V= πr²h

(22/7×(3.5)²×12)cm³

462cm³.

now the total volume of plastic used is = 462×0.2 = 92.4cm³.

hope this helps you.

Answer: (-1,4), (1,0), (0,3), (-2,3), (-3,0)

Step-by-step explanation: look at the dots on the plot

Answer:

Option A is correct

Step-by-step explanation:

Bobby = 1/8

Danny = 1/5

Let's add up both fractions:

1/8 + 1/5 =

1*5/8*5 + 1*8/5*8 =                   (multiplying both the numerator and                              

5/40 + 8/40 = 13/40                 denominator by the opposite denominator)

Together, they both cut 13/40 of the entire lawn.

Let's check each option:

A) Together the boys didn't even cut half the yard.

True, half of the yard is 20/40, and 13/40 < 20/40

B) The boys were able to cut more than half the yard.

False, half of the yard is 20/40, and 13/40 is not greater than 20/40

C) The boys cut almost three-fourths of the yard.

False, three-fourths of the yard is 30/40, and 13/40 is not close.

D) Together the boys cut almost the entire yard.

False, the entire yard is 40/40 and 13/40 is not close.

-Chetan K

Answer:

swimming pool wedding:10,000

Caribbean wedding:45,000

Step-by-step explanation:

55,000

- 10,000

= 45,000

0.2 / 0.22

it would've been 0.22222222 but if you cut it short its 0.2 or 0.22.

Answer:

x - intercepts: (4,0) and (-2,0)

vertex: (1/2 ,  - 17/2)

Step-by-step explanation:

Part A

To find the x-intercepts you have to set y=0

(x-4) (x+2) = 0

Separate the parenthesis. Solve for  x

x-4 = 0

x= 4

x+2 = 0

x= -2

x - intercepts: (4,0) and (-2,0)

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

Part B

vertex formula for the x: coordinate : -b/2a

Expand the function.

y = 2x^2-2x-8

a = 2

b = -2

c= -8

-b/2a = -(-2)/2(2) = 1/2

vertex x- coordinate: 1/2

Substitute 1/2 back into every "x" in the function to find the "Y" for the vertex.

y = 2(1/2)^2 -2(1/2) -8

y = -17/2

vertex: (1/2 ,  - 17/2)

Answer:

The next term in the sequence is:

     0.00221184

Step-by-step explanation:

We are given that:

A cell-phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer approaches a cell-site base station.

A company representative approached a cell site at a constant speed and calculated the probability of a dropped call at regular intervals, and the probabilities formed the recursive sequence:

             0.6, 0.4, 0.24, 0.096, 0.02304.

as we can see third term is product of first two terms

fourth term is product of third and second term

fifth term is the product of fourth and third term

so,  the next term in the sequence which is the sixth term will be the product of fifth and fourth term=  0.02304×0.096

                                                  =  0.00221184

Answer:

The equation of the line with a bold line:

slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2

c = -1

Therefore, y <= ( 1 / 2 ) x - 1

The equation of the line with the dotted line:

slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3

c = 1

Therefore, y < - 3x + 1

Step-by-step explanation:

If there is any confusion please leave a comment below.

Answer:

4

Step-by-step explanation:

996

888

978

798

Answer:

xy^4(1+x^3y)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I beileve it would be 1 because if you grab the 15 gallons and mutiply them by 4, then you would get 60. There is 60 seconds in a minute therefore, I would take the quarts and divde them by the seconds. Then I would get my answer of 1 quart per second.

Hope this helped. If you still do not understand I will gladly explain it more. If im wrong, feel free to correct me. :)

Answer:

x≤-3 1/2 or x>1

Step-by-step explanation:

The way we solve this is we simply rearrange the equation using algebra.

Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.

Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.

Answer:

X = 8 people can go to the amusement park.

Step-by-step explanation:

Based on the given conditions, formulate:  5.5  + 14  × x  = 117.5  

Rearrange unknown terms to the left side of the equation: 14 x  = 117.5  − 5.5  

Calculate the sum or difference: 14 x  = 112  

Divide both sides of the equation by the coefficient of variable: x  = 112  ÷ 14  

Calculate the product or quotient: x  = 8  

Find the smallest integer greater than or equal to  x  = 8 :  

Answer:  x = 8

(Hope this helps can I pls have brainlist (crown)☺️)

The equation will be (5.5) + (14 × x)  = $ 117.5 and the value of x will be 8.

It is given that a group of friends have $117.50 to spend on parking and admission. Cost of parking is $5.50 and tickets is $14 per person.

We have to write an equation and find out the value of x , if x is the number of people who can go to the amusement park.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

Total amount spend on parking and admission = $117.50

Cost of parking = $ 5.50

Cost of ticket per person = $ 14

Let's assume no. of people who can go to the amusement park is x.

So ,

Total cost of ticket and parking will be ;

(5.5) + (14 × x)

and this equal to $ 117.50.

So ,

the equation will be ;

(5.5) + (14 × x)  = 117.5  

Solving the equation to find the value of x ;

⇒ 14 × x = 117.5 - 5.5

⇒ 14x = 112

⇒ x = 112 ÷ 14

⇒ x = 8

Thus , the equation will be (5.5) + (14 × x)  = $ 117.5 and the value of x will be 8.

To learn more about algebra click here ;

brainly.com/question/26479183

#SPJ2

Answer:

diameter 12mm

Step-by-step explanation:

Answer:

Its basically asking how many pennies there are.

The answer is 37.5=2.5x because x represents the number of pennies while 2.5 represents the weight. Hope this helps!

x=15, by the way.

Step-by-step explanation:

Answer:

x = 11/3

Step-by-step explanation:

This is because that if you plug it in,

√x+3 = 2√x-2

√11/3 + 3 = 2√11/3 - 2

√20/3 = 2√5/3

Statement is true, therefore x = 11/3.

Hope this helps!

Answer:

37

Step-by-step explanation:

Well you said the answer in your question

Answer:

AB = 154

Step-by-step explanation:

Triangle Rectangle ABC = 90

Sen 38°=0.616 = 154/250

Sen 52°=0.788 =197/250

AC =250

AB = 154

BC = 197

Answer: Refer to Below

Step-by-step explanation:

Given information

Php 2,000 activation fee

Php 1,500 monthly fee

Analysis of given information

Activation fee: the amount of money to start a charge (i.e. Let's say if there is a membership, then this fee would be the same as having a card of membership)

Monthly fee: the amount of money that would be charged monthly (i.e. Let's say if there is a membership, then this fee would be the amount of money that you would need to pay for maintenance every month)

Set variable according to the given information

Let x be the number of months for the membership

Write expression with the given information and the variable

Cost = Monthly fee × Number of months + Activation fee

[tex]\boxed{C = 1500x + 2000}[/tex]

**Information** Since we have already written the expression in [PART 1] and defined the number of months as [x], we are going to substitute the given number of months into the expression.

Given information

Number of months = 1, 2, 3, 4, 5, 6

Written expression from [PART 1]

C = 1500x + 2000

Substitute values into the expression

1 month = 1500 (1) + 2000 = [tex]\boxed{Php 3500}[/tex]

2 months = 1500 (2) + 2000 = [tex]\boxed{Php 5000}[/tex]

3 months = 1500 (3) + 2000 = [tex]\boxed{Php 6500}[/tex]

4 months = 1500 (4) + 2000 = [tex]\boxed{Php 8000}[/tex]

5 months = 1500 (5) + 2000 = [tex]\boxed{Php 9500}[/tex]

6 months = 1500 (6) + 2000 = [tex]\boxed{Php 11000}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: y= 2x - 2

Step-by-step explanation:

Answer:

the answers is20-20=0

Step-by-step explanation:

20 -

20

__

0

Answer:

Answer=20

Step-by-step explanation:

20 - 20

20/2=10

10-10=0

C: LOL

Answer:

x=64

Step-by-step explanation:

180=x+2+4x-142

180=5x-140

320=5x

64=x

Answer:

1900 divided by 20 is 95

1900 - 95 is 1805

1805 divided by 60 is 31

Step-by-step explanation:

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The required values are :

Length = 33 m

Breadth (width) = 30 m

solution is in attachment ~

Answer:

76.50

Basically move decimal point from 85.00 one place to the left which would become 8.50

You then subtract 85.00 by 8.50 and you'll get 76.50

hope that helps! have a good day

Answer:

f(1) = 4

Step-by-step explanation:

f(x) = - 2x^2 + 2x + 4

f(1) = - 2(1)^2 + 2(1) + 4

f(1) = -2 + 2 + 4

f(1) = 4

Answer:

x=-3

Step-by-step explanation:

-(7x-4x)=9

-7x+4x=0

-3x=9

x=-3