As the population of Yardley increases, the amount of garbage it produces also increases. This year, the city produced 130,000 tons of garbage. If the amount of garbage produced increases by 5% each year, how much garbage will be produced 4 years from now?

If necessary, round your answer to the nearest tenth.

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

The equation of the line in slope intercept form is

we have

-----> the point (0,16) is the y-intercept

substitute

convert to function notation

f(x)=y

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

step 2

Find the equation of the line into point slope form

we have

substitute

Convert to standard form

Multiply by 4 both sides to remove the fraction

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

-brainly user

Answer:

Your function would be y = 1/2x + 16.

Explanation:

Points: (0, 16); (2, 17)

Slope: m = (17 - 16) / (2 - 0) = 1/2

Slope intercept form: y = mx + b

So, if the slope equals 1/2 and the y-intercept is (0, 16), you would use substitution to get y = 1/2x + 16.

Therefore, your ending function is y = 1/2x + 16.

Answer:

7y+2

Step-by-step explanation:

3y+5y=7y

5-3=2

Answer:

$250 and 50 mugs

Step-by-step explanation:

690-440 then 250÷5 if that helps

Answer:

B

Step-by-step explanation:

When two angles are on the interior like that, they are adding up to 180 degrees in total.

So, x would be 20 because

2x+60=

2 times 20, plus 60 = 100

and 3x+20=

And 3 times 20, plus 20 = 80

Adding up 100 and 80, you get 180 degrees.

I hope this helps. I'm a student too but I hope I explained it relatively ok.

Answer:

it should be the 2nd one... 1625.

Answer:

1625 feet

Step-by-step explanation:

if 1 inch = 250 feet.

you must multiply 6.5 by 250.

250 x 6.5 = 1625

Answer:

5. (a)

6. (b)

I am hoping that this will help you

x⁰ = 360 degree- ( 246⁰ + 66⁰)

= 360 degree- 312⁰

= 48 ⁰

Answer:

x = 114

Step-by-step explanation:

Remark

You are trying to figure out what the arc is in degrees. The arc formula is

Intersect angle = 1/2( the furthest arc - the smaller closer arc).

Givens

Intersect angle = 66 degrees

Closer arc = x

Further or largest Arc = 246

Solution

66 = 1/2 (246 - x)                  Multiply both sides by 2 and remove the brackets.

132 = 246 - x                        Subtract 246 from both sides.

132 - 246 = - x

- 114 = - x                             Multiply both sides by -1

-1 (-114) = -1 * (-x)

x = 114

Answer:

40 ft^2

Step-by-step explanation:

lateral surface area -Slat = 24 ft^2

top surface area-Stop = 8 ft^2

bottom surface area -Sbot = 8 ft^2

24+8+8= 40

total surface area -Stot = 40 ft^2

Answer:

40

Step-by-step explanation:

took the test

Answer:

The volume is  2703.730036 (I didn't round it)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I said so

Answer:

C. They are similar triangles.

Step-by-step explanation:

they have the same angle measures, but not the same side lengths. so they are similar but not congruent.

Answer:

Step-by-step explanation:

For each outcome there are

s!/(n!(s-n)!) combinations

where s is the number of selections and n is the number of specific outcomes

The probability of any specific outcome for 6 tosses of a coin is (1/2)^6

[(1/2)^6]*[(6!/6!)+(6!/(5!)+(6!/(4! 2!)+(6!/(3! 3!)]

(1/2)^6*(1+6+15+20)

42(1/2)^6

42(1/64)

42/64

21/32 which is 0.65625

0.656 (rounded to nearest thousandth)

Answer:

yes. the total when added together is $9.90, meaning that he has just enough for them to get a pizza and one drink each.

Step-by-step explanation:

6.90

1.50

1.50

9.90

Answer:

Yes, he has enough money.

Step-by-step explanation:

He will have .10 left over. The pizza is $6.90 and the drinks are $1.50 each.

1.50 + 1.50 = 3.00

6.90 + 3.00 = 9.90

He spends $9.90, so he will be 10 cents short of spending all of his lunch money. Therefore, he has enough money.

Answer:

The answer is 30.

Step-by-step explanation:

Answer:

BGC and FGE are cmplimentary so FGE = 45 degrees

Step-by-step explanation:

Answer:

-2,3

Step-by-step explanation:

Answer: 8.94

Step-by-step explanation:

d = sqrt ((x2 - x1)^2+ (y2 - y1)^2)

d = sqrt (80)

d = 8.944272

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.

Answers:

25c= 1/2

Then R3.50 is 3/50

Step-by-step explanations:

25c as a fraction is 25/50, so you have to simplify 25/50 to its simplest form , and you get the result of 1/2

For this you have to first  find the GCD (or HCF) of numerator and denominator. GCD of 3 and 50 is 1.

3 ÷ 150 ÷ 1.

Reduced fraction: 350. Therefore, 3/50 simplified to lowest terms is 3/50.

Answer:

slope = 2

Step-by-step explanation:

Answer:

-125

Step-by-step explanation:

[-5]^3 = -125

Answer:45,000,000,000 melons

Step-by-step explanation:

90,000,000,000-45,000,000,000=45,000,000,000

Answer:

108 schools

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

let the first term be n

second term = 2 + n

third term = 3 + second term so we can conclude that the other term will be:

forth term = 4 + third term

fifth term = 5 + forth term etc.

eleventh term will be 11 + 10 term

based on observations the tenth term is 58 so

eleventh term= 11 + 58

= 69

Answer:

They have no relation, except for the fact that they intersect. If the equations were instead y = +5/4x - 1/2 and y = -4/5x + 2, or y = +4/5 + 2 and y = -5/4x -1/2, then they would be perpendicular.

Option 3 is the right answer.

Step-by-step explanation:

For the given lines y = -4/5x+2 and y = -5/4x - 1/2

we have to identify whether lines are parallel or perpendicular.

As we know if two lines are perpendicular then gradients of two lines will in the form of

m1 m2=(-1)

and if the lines are parallel then the gradients of the lines will be same.

m1=m2

Here m1 = -4/5 and m2 = -5/4

Therefore

m1m2=(-4/5)(-5/4)=(+1)

and  

m1≠m2

So both the lines are neither parallel nor perpendicular to each other.

Option 3 is the right answer.

Answer:

x = 25

Step-by-step explanation:

x + 25 + 2x - 10 + 90 = 180

3x + 105 = 180

3x = 75

x = 25

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2