Is it possible to have more than one (x,y)(x,y) pair that is a solution to both equations? Explain or show your reasoning

Here are the two equations:
Equation 1: 6x+4y=34
Equation 2: 5x-27=15

3/5 ÷ 2/3 = 10/21 (^○^)

The  quotient is 10/21.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

2/7 and 3/5

So, to find the quotient we have to divide the fraction

2/7 ÷ 3/5

= 2/7 x 5/3

= 10/21

Hence, the quotient is 10/21.

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Step-by-step explanation:

we simply use the definitions in the main expression.

f(x) = -3x²

therefore,

f(x + h) = -3(x + h)² = -3(x² + 2hx + h²) = -3x² - 6hx - 3h²

so, we have

((-3x² - 6xh - 3h²) - -3x²)/h

(-3x² - 6xh - 3h² + 3x²)/h

(-6xh - 3h²)/h

this is then

-6x - 3h

and for the limit of h going to 0 this is -6x.

Answer:

The additional information to show ΔABC ≅ ΔDEF by ASA is \(\overline {AB}\) ≅ \(\overline {DE}\)

Step-by-step explanation:

The given parameters in the figure are;

Angle m∠BAC is congruent to angle m∠FDE

Angle m∠ABC is congruent to angle m∠FED

Therefore, in order to show that ΔABC is congruent to ΔDEF, by the Angle-Side-Angle (ASA) rule of congruency, the additional information is the congruency of the included sides between the given angles as follows;

The additional information to show ΔABC ≅ ΔDEF by ASA is \(\overline {AB}\) is congruent to \(\overline {DE}\) which can be written as \(\overline {AB}\) ≅ \(\overline {DE}\).

Answer:

         ~            

AB      =    CD

Step-by-step explanation:

The inradius of the triangle of the given dimensions will be equal to the value 2.

To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.

Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:

inradius = √(s-a)(s-b)(s-c)/s

where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.

Plugging in the values for a, b, c, and s, we get:

inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2

Therefore, the inradius of triangle ABC is 2.

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Answer:

D. 10x^2+4x+3

Step-by-step explanation:

You get this by adding all the terms!

Answer: D. 10x^2 + 4x + 3

To find the combined area, add both of the areas together.

A = (3x^2 - x + 7) + (7x^2 + 5x - 4) (Remove the parentheses)

A = 3x^2 - x + 7 + 7x^2 + 5x - 4 (Combine the like terms)

A = 10x^2 + 4x + 3

∴ the combined area of Tiffany's fence and lawn is 10x^2 + 4x + 3.

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

The equation that shows how to calculate the volume is "5 × 5 × ___ = 250." In this equation, the first two values represent the length and width of the object, and the third value represents the height or depth. By multiplying these three values together, we can find the volume of the object.

The equation "5 × 5 = 250" is incorrect because it only calculates the area of the object, not the volume. The equation "5 × 5 × 250 = ___" is also incorrect because it is asking for the result of multiplying the three given values, not solving for an unknown value.

The equation "5 + 5 + ___ = 250" is also incorrect because it only adds two values together, not accounting for the third dimension of the object. Therefore, the correct equation to calculate the volume is "5 × 5 × ___ = 250," where the blank represents the height or depth of the object.

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The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.

To determine the results of the expressions, we can evaluate them using the given assignments:

num1 + num2:

Result: 12 + 5 = 17

num3 - num4:

Result: 10 - 3 = 7

num1 * num4 - num2:

Result: 12 * 3 - 5 = 31

num3 / num2:

Result: 10 / 5 = 2

num1 % num4:

Result: 12 % 3 = 0

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Answer:

5

Step-by-step explanation:

4 x 6= 24 x 1/2 = 12

10-6 = 4 x 4 = 16

cut a imaginary line above line (4) . that sapce below it is 4x4.

1 is the remaining distance for the top.

4+1=5

The probability that all four cards drawn from a deck are black cards is 1/4165.

There are 26 black cards and 52 cards in a standard deck of cards. Therefore, the probability of drawing a black card from a standard deck of cards is 26/52 or 1/2. In the first draw, there are 26 black cards out of 52 cards, so the probability of drawing a black card is 26/52.

In the second draw, there are 25 black cards left out of 51 cards, so the probability of drawing a black card is 25/51. In the third draw, there are 24 black cards left out of 50 cards, so the probability of drawing a black card is 24/50. In the fourth draw, there are 23 black cards left out of 49 cards, so the probability of drawing a black card is 23/49.

Using the multiplication principle of probability, the probability that all four cards drawn from a deck are black cards is 26/52 × 25/51 × 24/50 × 23/49 = 1/4165.

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Answer:5.29 pounds

Step-by-step explanation:

135.25 -129.6

Answer:

5.65 pounds

Step-by-step explanation:

Subtract samaras weight from muads weight lifting

Answer:

AB = 3.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the length of prism )

Here V = 84 and h = 12 , thus

12A = 84 ( divide both sides by 12 )

A = 7 ← area of Δ ABC

Thus

\(\frac{1}{2}\) × 4 × AB = 7

2AB = 7 ( divide both sides by 2 )

AB = 3.5 cm

Answer: 0.84375

Step-by-step explanation:

1. x = 5.4n

2. 5.4n + n = 5.4

3. n(6.4) = 5.4

4. n = 0.84375

DOUBLE CHECK

x = 5.4(0.84375)

x = 4.55625

4.55625 + 0.84375 = 5.4

0.84375 = 5.4 - 4.55625

0.84375 = 0.84375

The solution is, : for 0.84375 = N such that x+N=5.4 and x/n=5.4 are equivalent equations.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

the given equations are:

1. x = 5.4n

2. 5.4n + n = 5.4

3. n(6.4) = 5.4

4. n = 0.84375

DOUBLE CHECK

x = 5.4(0.84375)

x = 4.55625

4.55625 + 0.84375 = 5.4

0.84375 = 5.4 - 4.55625

0.84375 = 0.84375

Hence, The solution is, : for 0.84375 = N such that x+N=5.4 and x/n=5.4 are equivalent equations.

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Answer:

No solution

Step-by-step explanation:

\(7(x+2)=7x-14\\7x-14-7x+10=0\\-4=0\\\)

it is not possible -4=0

S0 there is no solution in equation.

Answer:

No solutions

Step-by-step explanation:

Simplify the given equation:

\(7(x+2)=7x-10\)

Distribute, multiply every term inside of the parenthesis by the term outside of it.

\(7(x+2)=7x-10\)

\(7(x)+7(2)=7x-10\)

Simplify,

\(7x+14=7x-10\)

Inverse operations,

\(7x+14=7x-10\)

\(7x+(-7x)+14=7x+(-7x)-10\)

Simplify,

\(7x+(-7x)+14=7x+(-7x)-10\)

\(7x-7x+14=7x-7x-10\)

\(14=-10\)

This equation simplifies down to an untrue equation, therefore, there are no solutions to this equation.

Answer: John walks a total of 360 yards from school.

Step-by-step explanation:

Let's represent the total distance John walks from school as "x".

According to the problem, John has already walked 15% of the way, which can be written as:

0.15x

We also know that he has walked 54 yards so far, which means:

0.15x = 54

To find the total distance John walks from school, we can solve for "x" by dividing both sides of the equation by 0.15:

x = 54 ÷ 0.15

x = 360

Therefore, John walks a total of 360 yards from school.

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The value of the fraction 2/3 × 5/8 isn't 3/4 because it is 10/24 and reducing to lowest term won't give 4.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers

The value of the fraction will be:

= 2/3 × 5/8

= 10/24

= 5/12

Therefore, the value isn't 3/4.

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For the given geometric sequence we have:

a) R = 3/4

b) 243/256

c) Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾

The common reason is given by the quotient between two consecutive terms, so using the first two, we will get:

R = (9/4)/3

R = 3/4

That is the common reason.

b) To find the fifth therm, we need to take the fourth one and multiply it by the common reason, so we will get:

81/64*(3/4) = 243/256

c) The n-th term of the sequence is the first term of the sequence multiplied by the common reason (n - 1) times, it gives:

Aₙ = 3*(3/4)⁽ⁿ⁻¹⁾

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Answer:

ef,ge,fg

Step-by-step explanation:

Answer:

2790×5=13950. ans=13950+93000=106950

Step-by-step explanation:

population increase rate per year =2790

then after 5 year population is 2790×5+93000=106950

The inequality is represented as;

x/2 - 4 ≤  10

x  ≤ 28

Inequalities are described as the relation such that make an uneven comparison between two numbers, expressions or even variables.

The different signs of inequality are;

From the information given, we have that;

four less than the quotient of a number and two is no more than ten what is the number

Let the number be x

This can then be represented as;

x/2 - 4 ≤  10

x/2 ≤  10 + 4

x/2  ≤  14

x  ≤ 28

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The dimensions of this rectangle to the nearest tenth include the following:

Width, W = 2.6 meters.

Length, L = 7.6 meters.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

From the information provided, we have the following parameters:

Length, L = W + 5

Substituting the given parameters into the formula, we have;

20 = (W + 5) × W

20 = W² + 5W

W² + 5W - 20 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(5)\; \pm \;\sqrt{5^2 - 4(1)(-20)}}{2(1)}\)

Width, W = x = 2.6 meters.

For the length (L), we have:

Length, L = W + 5

Length, L = 2.6 + 5

Length, L = 7.6 meters.

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The probability that Ben does the math homework is 0.33 and the probability that he does the English homework is 0.25.

A probability tree is a term that refers to a tool used in calculus to graphically represent the possible outcomes of a situation.

To calculate the probability that Ben will do his tasks, we perform the fraction that describes each of them as shown below:

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Answer:

cubic-degree of 3

Step-by-step explanation:

its not the first two, because they have way more waves

Step-by-step explanation:

Distance traveled in 10 hours = 5,000 miles

Distance travelled in 3 hours = 5,000 * (3/10)

= 1,500 miles.

Hence the airplane travelled 1,500 miles in 3 hours.

Step-by-step explanation:

Assuming it traveled at a constant speed, you can set up a proportion

\( \frac{5000}{10} = \frac{x}{3} \)

X = (3*5000)/10

X = 1500 miles

(a) The number of ways to line up people to get on a bus is given by the factorial of the total number of people. (b) If specific persons insist on following each other, the number of ways remains the same. (c) If specific persons refuse to follow each other, the number of ways is (n - k + 1)! * k!.

(a) To determine the number of ways people can be lined up to get on a bus, we need to consider the total number of people and their arrangement. Assuming all the people are distinct and their order matters, we can use the concept of permutations. If there are n people, the number of ways they can be lined up is given by n factorial, denoted as n!.

Therefore, the answer to part (a) is: The number of ways people can be lined up to get on a bus is n!.

(b) If specific persons insist on following each other, we can consider them as a single entity or group. Treating the group as one, we have reduced the problem to arranging the remaining entities along with the group. So, the number of ways possible would be the same as in part (a), which is n!.

(c) If specific persons refuse to follow each other, we can approach this problem by considering the complementary case. We first calculate the total number of ways without any restrictions, which is n!. Then we subtract the cases where the specific persons are following each other.

Let's say there are k specific persons who refuse to follow each other. We can treat these k persons as a single entity or group. Now, we have n - k + 1 entities to arrange (k-person group + remaining individuals). The number of ways to arrange these entities is (n - k + 1)!. However, within the k-person group, the individuals can be rearranged among themselves in k! ways.

Therefore, the number of ways with the given restrictions is (n - k + 1)! * k!.

In summary, the answer to part (c) is: The number of ways people can be lined up to get on a bus, given that specific persons refuse to follow each other, is (n - k + 1)! * k!.

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Answer:

Can you include the picture because i don't know which question you are talking about.

Step-by-step explanation:

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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