Carl drives to the beach at 50 mph. When he returns home he is able to travel at 55
mph. Assuming the trip home takes him a half hour less, find the distance to the beach.

Answer:

30.7

Step-by-step explanation:

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.

Learn more about equation here

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Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x - 10x + 5 = 5x + 17 (collect like terms)

-7x + 5 = 5x + 17 (subtract 5x on both sides)

-12x + 5 = 17 ( subtract 5 on each side)

-12x = 12 ( divide by -12 on each side)

x = -1

Answer:

x = - 1

Step-by-step explanation:

[tex]3x - 10x + 5 = 5x + 17[/tex]

Add the like terms.

[tex] - 7x + 5 = 5x + 17[/tex]

Add 7x to both sides.

[tex]5 = 12x + 17[/tex]

Subtract 17 from both sides.

[tex] - 12 = 12x[/tex]

[tex] - \frac{12}{12} = x[/tex]

[tex] - 1 = x[/tex]

Answer:

6000 pieces of candy will be made in a 4 hour shift

Step-by-step explanation:

the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.

Answer:

50°

Step-by-step explanation:

Angle A = AngleB (Corresponding angles)

x=2x-50

x=50°

Hope it helps

Answer:

∠ ABC = 50°

Step-by-step explanation:

2x - 50 and x are corresponding angles and congruent, thus

2x - 50 = x ( subtract x from both sides )

x - 50 = 0 ( add 50 to both sides )

x = 50

Thus

∠ ABC = x = 50°

Hey mate here is your answer.

➛ 6(x-2) = 4(x+3)

➛ 6x-12 = 4x + 12

➛ 6x - 4x = 12 + 12

➛ 2x = 24

➛ x = [tex] \frac{24}{2} [/tex]

⛬ x = 12

x³ + y³ = (x + y)(x² - xy + y²)

x³ - y³ = (x - y)(x² + xy + y²).

Proof for 1st Identity :

★ x³ + y³ = x (x² - xy + y²) + y(x² - xy + y²)

⟶ x³ + y³ = x³ - x²y + xy² + x²y - xy² + y³

⟶ x³ + y³ = x³ + y³

Proof for 2nd identity :

★ x³ - y³ = x(x² + xy + y²) - y(x² + xy + y²)

⟶ x³ - y³ = x³ + x²y + xy² - x²y - xy² - y³

⟶ x³ - y³ = x³ - y³

Let us assume that,

x = 1

y = 2

So,

✯ x³ + y³ = 1³ + 2³

⟹ (x + y)(x² - xy + y²) = 1 + 8

⟹ (1 + 2)(1² - (1)(2) + 2²) = 9

⟹ 3 * (1 - 2 + 4) = 9

⟹ 3 * 3 = 9

⟹ 9 = 9

✯ x³ - y³ = 1³ - 2³

⟹ (1 - 2) * (1² + (1)(2) + 2²) = 1 - 8

⟹ ( - 1) * (1 + 2 + 4) = - 7

⟹ ( - 1) * (7) = - 7

⟹ - 7 = - 7

Thus , they can be called as identities/formulae as they are very useful in finding the value of a certain equation or an expression easily.

I hope it will help you.

Regards.

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

Answer:

The deepest point in the Baltic Sea relative to the surface is 459 meters.

Step-by-step explanation:

The average depth of the Baltic Sea is:

[tex] d_{1} = 52 m [/tex]

The deepest point in the Baltic Sea is (lower than this):

[tex] d_{2} = 407 m [/tex]

Hence, the deepest point in the Baltic Sea relative to the surface is given by:

[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]

Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.

I hope it helps you!          

Answer:

0 represents the start point

Step-by-step explanation:

Given

[tex]Before\ Finish\ Line = -27\frac{1}{4}[/tex]

[tex]After\ Finish\ Line = 9\frac{1}{2}[/tex]

Required

What does 0 represents

In a race; there's always a starting point, irrespective of the current position of the racer.

This position is always at the 0 point.

Hence:

The 0 meters represents the start point

Answer:

The finish line

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Answer:

3.450*10^4

Step-by-step explanation:

Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8

Answer:

D is 85° and E is 95°

sorry I found it easier to write on paper.

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

Step-by-step explanation:

sorry for too many pictures and I'm sorry for messing up other question numbers but that's that

hope u get it in time

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 42 when x = 84, then

42 = 84k ( divide both sides by 84 )

0.5 = k

y = 0.5x ← equation of proportion

When x = 35, then

y = 0.5 × 35 = 17.5

Answer:

s = 11.7 ft

Step-by-step explanation:

The bedroom is square, and the area A is equal to 137 ft^2.

Since the area formula for a  square is A = s^2, s = √A.

Here, s = √137 ft, or s = 11.7 ft (to the nearest tenth of a ft)

Answer:

I am pretty sure that is is 64

Step-by-step explanation:

but i used a calculator soooo

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

Answer:

1147 days

Step-by-step explanation:

3x365= 1095

7x7=49

1095+49+3=1147

Answer:

The number of 57-cent stamps that Julie bought is 12

Step-by-step explanation:

Given equation

0.57 s + 0.3 ( s − 6 ) = 8.64

Open bracket

0.57s + 0.3s - 1.8 = 8.64

Collect like terms

0.87s = 8.64 + 1.8

0.87s = 10.44

Divide both sides by 0.87

s = 12

The number of 57-cent stamps that Julie bought is 12

Answer:

its D

Step-by-step explanation:

if you look at the graph I shared, the end behaviors are

As x approaches -7 from the left, y approaches -∞.

As x approaches -7 from the right, y approaches ∞.

As x approaches 7 from the left, y approaches ∞.

As x approaches 7 from the right, y approaches –∞.

The only one that maches this description is D

Answer:d

Step-by-step explanation:

just d