if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.

The rate of change is 3/4.

Explanation:

The rise is 3 and the run is 4.

The slope, or rate of change, is rise/run.

The answer came as 2257 as listed above

Answer:

The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

Step-by-step explanation:

Let the cost of 1 pound of meat be x

Let the cost of 1 pound of cheese be y

Cost of 4 pounds of meat = 4x

Cost of 5 pounds of cheese = 5y

Since we are given that one customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50.  

So, equation becomes :

Cost of 11 pounds of meat = 11x

Cost of 14 pounds of cheese = 14y

Since we are given that a sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50.

So, equation becomes :

Thus the system of equations are :

-1   (Red line)

-2   (Black line)

Solving these equations graphically we get the solution

x = $4.5

y = $2.5

Hence The cost of 1 pound meat is $ 4.5 And cost of 1 pound of cheese is $ 2.5.

The number that represents the shoe rental charge is 3.

The number that represents the price per game is 2.5.

The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.

y= 2.5x + 3

In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.

When:

3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.  

A similar question was answered here: https://brainly.com/question/14276466?referrer=searchResults

Answer:

1. 27 liters

2. 125.8%

3. 3 years

4. 0.98%

5. 9.6 years

Step-by-step explanation:

1. (60%)(45) = 27 liters

2. Percentage of weight relative to ideal weight = (100%)(78/62) = 125.8%, rounded to nearest 10th of a percent.

3. (20%)(15) = 3 years

4. Assume that the beginning height is 2552 meters and the height increases 25 meters.  Then, the percentage increase = (100%)(25/2552) = 0.98%, rounded to the nearest 100th of a percent.

5. Beni's age = (40%)(24) = 9.6 years

Answer:

-3.2

Step-by-step explanation:

Step-by-step explanation:

The area = 3 × 3 = 9

The perimeter = 2(3 +3) = 12

please give me a brainliest answer

Answer:

A= a^2, which is 9.

P= 4a, which is 12.

Answer:

20

Step-by-step explanation:

20 / 2 = 10

10 - 4 = 6

1-100%. You'll never know until you try it yourself.

Answer:

What do you need me to do

Step-by-step explanation:

Answer:

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Input 30 as for y and solve the equation.

Step-by-step explanation:

Since y is kilometers per hour and the question is asking for how long it takes for a certain particle to reach 30 km/hr, you input 30 for y and solve for x.

-4x + y = 15

-4x + (30) = 15

subtract 30 from both sides

-4x = -15

divide -4 from both sides

x = 15/4

it will take the certain particle 15/4 (unit of time) to reach 30 km/hr

Answer:

5(1/5^3) ≠ 5(5^3)

Step-by-step explanation:

5(1/5^3) = 5(5^3)

5/27 = 625

5(1/5^3) ≠ 5(5^3)

The sides aren't equal, so this equation is FALSE.

Answer:

Step-by-step explanation:

Short answer: No they are not the same.

5 * 1/5^3 = 1/5^2. One of the 5s in the denominator cancels out.

5^1 * 5^3 = 5^(1 + 3) = 5^4. Nothing cancels here. The powers add.

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

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

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

1: 12 * [tex]10^{9}[/tex]

         We can easily tell this is the answer here as 12 is larger than 4. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

2: 3 * [tex]10^{12}[/tex]

         Same here, we can easily tell this is the answer here as 3 is larger than 1.5. They are both being multiplied by the same power of 10, so we can ignore that part and still tell which is larger.

3: 6 * [tex]10^{5}[/tex]

         This one is slightly more complicated than the other two, but still not to difficult when you know what you're doing.

          A tip: 10 to the fourth power ([tex]10^{4}[/tex]) is 10,000. Aka, a 1 with four zeros!

For the first one, 20 has a zero, so we can take it and put it onto the 10th power. We know have:

2 * [tex]10^{5}[/tex] and 6 * [tex]10^{5}[/tex]

         Using the same method as #1 and #2, we can tell that 6 * [tex]10^{5}[/tex]  is the answer here!

I hope this helps, have a nice day :D

Answer:

22, 25, 28

Step-by-step explanation:

10 + 3 = 13

13 + 3 = 16

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28.

all numbers go up by three points

Answer:

Step-by-step explanation:

Volume = mass * density

Substitute values and calculate:

Answer:

134/1111

Step-by-step explanation:

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact form:  [tex]\frac{134}{1111}[/tex]

Decimal form: 0.1206...   (repeating)

Answer:

15 rows

Step-by-step explanation:

180 divided by 12 is 15.

Answer:

8/13

Step-by-step explanation:

8x

------

13x

The x in the numerator and denominator cancel

8/13

Step-by-step explanation:

If in any set, you can find 2 or more points that lie on the same vertical,

then it is NOT a function, that is, the same value of x yields 2 or more different

values of y, you don't have a function.

e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.

Answer:

A) 3x +15

B) 8x -2

C) 20x + 10

D) 4x - 8y

Step-by-step explanation:

A) 3x+3 x 5 = 3x + 15

B) 2 x 4x -2 = 8x -2

C) 5 x 4x +5 x 2 = 20x + 10

D) 4x -4 x 2y = 4x - 8y

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

Answer:

4x+31

Step-by-step explanation:

2(x + 4) – 3(x – 6) + 5(x + 1)

Distribute

2x+8 -3x+18 +5x +5

Combine like terms

2x-3x+5x  +8+18+5

4x+31

Answer:

Simple springs obey Hooke's Law. Hooke's Law states that the force on a spring is proportional to it's displacement from it's resting length:

F = -k*x

Where F is the force, x is how far the string is stretched or compressed, and k is a proportionality constant called the spring constant. The negative sign is because the spring resists stretching.

In this case, we can solve for k using the first case:

(100N) = -k * (5cm)

k = ???

And plug that answer in to find x in the second case:

(360N) = -k * x

    This is a "Hooke's Law" problem: the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed.  You can figure solve it by setting up a proportion equation and then using the algebraic tool of cross multiplication to solve for the unkown "stretch".

1) set up the proportion equation

100  =  360

5           x

2) cross multiply to get a linear equation

100x = 5*360

3) solve for x

 100x = 1800

       x = 18

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Answer:

The law: F=kx

Therefore,

180N = k * 5cm

k = 180÷5= 36N per cm

Using the known constant with the law,

270=36*x

x= 270 ÷ 36 = 7.5cm

Answer:

A

Step-by-step explanation:

The answer is A

The roots of the given quadratic equation are -

x = 2   and   x = 1.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a quadratic function f(x) defined as -

f(x) = x³ - 3x² + 2

The given quadratic function f(x) is -

f(x) = x³ - 3x² + 2

We can write the roots of the equation as -

x = {3 ± √(9 - 8)}/2

x = {3 + √(9 - 8)}/2    and    {3 - √(9 - 8)}/2

x = (3 + 1)/2   and    x = (3 - 1)/2

x = 2   and   x = 1

Therefore, the roots of the given quadratic equation are -

x = 2   and   x = 1.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

Answer:

Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.

Answer:

3 3/4 cups

Step-by-step explanation:

We need 3/4 cups of beans for 7 servings, and we need to figure out how many cups we need for 35 servings. You'll notice that 7 times 5 is 35. We can multiply 3/4 by 5 to find the answer to our problem. This thought process looks somewhat like this:

[tex]\frac{\frac{3}{4} }{7} = \frac{x}{35}[/tex]

Notice that we can multiply 5 by 3/4 to find the value of x.

So, 3/4 times 5 is equal to 15/4, or 3 3/4. So, you need 3 3/4 cups of beans for 35 servings.

Hopefully this was helpful! If you have any more questions, let me know.

Answer:

Step-by-step explanation:

42+(1/3)

42*(3/3)+(1/3)

(126/3) + 1/3

126/3 + 1/3 = 127/3 miles

4/3 hours

(127/3)/4/3)

(127/3)*(3/4)

= 127/4 or 31.75 miles/hour

It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).

Answer:

Price of shirt=RM9.8

Step-by-step explanation:

Shirt=x Trouser=y

x+y=RM20

5x+y=RM59.20

y=20-x

5x+20-x=59.20

4x=39.20

x=9.8

y=20-9.8

y=10.2

Step-by-step explanation:

using Trigonometry,

sin40°=CB/x

x=CB/sin40°.

hope this helps you.

Answer x=1

Step-by-step explanation;

sin 90 =x

1=x

sorry im not sure of the answer