Im doing an extra credit assignment and I need someone to help me solve by substitution method
y=x+3
y=2x+5

Answer:

a = -3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-2a - 9 = 6a + 15

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it is a solution.

Here we see that -3 does indeed equal -3.

∴ a = -3 is a solution of the equation.

Answer:

−2a−9 = 6a+15

-2a-6a = 15+9

-8a = 24

a = -3

Checking:

-2·(-3) - 9 = 6·(-3) + 15

6 -9 = -18 +15

-3 = -3

Step-by-step explanation:  12 - 14 is 2 years

                                               14 - 15 is 1 year

                                               15 - 17 is 3 years

I would say the rang is 1 -3 years apart

Hope this helps any

Answer:

A) f(x) = 895(1.07)^x

Answer:

x^2 -root 15 +o = 0

Step-by-step explanation:

x^2 - (x+y) + xy

x^2 -root 15 +o = 0

s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.

Mean:

Mean is the fraction of the sum of the observed data by the total number of sample data.

That is,

Mean = Sum of all observations / number of observations

Given,

Let s be the annual sales (in millions) for a particular electronic item.

The value of s is 55.3 for 2008.

Here we need to find what does s = 55.3 mean in this situation.

According to the question,

s represents the annual sales (in millions) for a particular electronic item.

So,

s = 55.3

means the the annual sales (in millions) for a particular electronic item.

Like 55.3 millions of particular electronic item sold in 2008.

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Answer:

D

Step-by-step explanation:

Answer:

D- LINEAR PAIR

Step-by-step explanation:

Answer:

The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches

Step-by-step explanation:

Regina buys materials to make watches for a jewelry fair. The materials are sold separately; there are 6 watch faces sold per package and 10 watch bands sold per package. What is This question has to do with Lowest Common

Step 1

We find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 6:

6, 12, 18, 24, 30, 36, 42

Multiples of 10:

10, 20, 30, 40, 50

Therefore,

LCM(6, 10) = 30

The LEAST number of watches Regina can make WITHOUT having any supplies left over is 30 watches

Answer:

30

Step-by-step explanation:

Given that :

6 watch faces per package and 10 watch bands per package :

To obtain the least number of watches that can be made without any supplies left over, we take the Least common multiple ( L. C. M) Of 6 and 10

_2__|6___|10

_3__|3___|5

_5__|1___ |5

____|1___|1

Lowest common multiple = (2 * 3 * 5). = 30

Answer:

A. 5x^2+12x-7

-2 + 7= 5

The problem involves a line segment divided into two parts in a specific ratio. The ratio of the length of the lesser part to the length of the greater part is found to be (√2 - 1).

Let the length of the whole line segment be x, and let y be the length of the greater part. Then the length of the lesser part is (x - y).

According to the problem statement, the ratio of the lesser part to the greater part is the same as the ratio of the greater part to the whole. Mathematically, we can write this as:

(x - y)/y = y/x

Simplifying this equation, we get:

x^2 - y^2 = y^2

x^2 = 2y^2

Taking the square root of both sides, we get:

x = y√2

Therefore, the value of the ratio of the lesser part to the greater part is:

(x - y)/y = (√2 - 1)

So, the answer will be (√2 - 1).

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It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

I dont have an explanation, sorry

Step-by-step explanation:

Let people behind you=x

People ahead of you will be x+2

Total number of people in the line(including you) = x+(x+2)+1 = 2x+3

Also, 2x+3=3x

So x=3

People ahead = x+2 = 5

People behind = x = 3

Answer:

\(\angle CAE=28\)

Step-by-step explanation:

\(\angle CBA+\angle BAE=180\\\\\angle CBA+\angle BAC+\angle CAE=180\\\\47+105+?=180\\\\152+?=180\\\\?=28\)

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

x = 9

Step-by-step explanation:

Perimeter of rectangle = 2(l+b) = 42

=> 2(x+3 + x)

=> 2 (2x + 3) = 42

=>  4x + 6 = 42

=> 4x = 42 - 6

=> 4x = 36

=> x = 36/4

=> x = 9

Hope it helps :)

Answer:

Formula = (l + b) x 2= 42 so answer = x=9

Step-by-step explanation:

l =x

b =x+3

( x+x+3) * 2 =42

2x +3 x 2 = 42

2x +3 = 42/2

2x +3 = 21

2x = 21 - 3 =18

x = 18/2

x=9

Answer:

i think its b

Step-by-step explanation:

i could be wrong tho

Answer:

minimum

Step-by-step explanation:

Expression which are equivalent to the given expression 3⁴ ×  3ˣ are as follow: (3⁴⁺ˣ ) and 81 × 3ˣ.

As given in the question,

Given expression is equal to :

3⁴ ×  3ˣ

Using law of indices for multiplication we have ,

mᵃ × mᵇ = mᵃ⁺ᵇ

Here in the given expression m = 3 , a= 4 and b = x

Equivalent expression for the given expression is given by,

3⁴ ×  3ˣ

=  (3⁴⁺ˣ )

Also,

Now simplify the given expression we get,

 3⁴ ×  3ˣ

= ( 3 × 3 × 3 × 3) × 3ˣ

= 81 × 3ˣ

Therefore, expression which are equivalent to the given expression 3⁴ ×  3ˣ are as follow: (3⁴⁺ˣ ) and 81 × 3ˣ.

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Answer: x5

Step-by-step explanation:

Answer:

800 grams = 1.76 pounds

700 grams = 1.54 pounds

also to give brainiest, two people need to answer and when two people answer you click the brain the top right corner i believe and pick which answer is better.

Step-by-step explanation:

Essentially, we need to know what are 800 grams in pounds- 

(1 pound =453.592

x= 800)

we have to divide 800 by 453.592, and the result is 1.763699... rounding it: 1.76

now we do the same for 700 :

700 divided by 453.592 is 1.5432... so rounding it down: 1.54

Answer:

Step-by-step explanation:

Let Cyril = C

Let Alex = A

A + C = 50                (1)

A+5 = 4*C                 (2)

Solve (1) for A

A + C = 50                  Solve for A

A + C-C = 50 - C

A = 50 - C

Substitute A into (2)

50 - C + 5 = 4C         Add C to Both sides

50 + 5 = 4C + C        Combine

55 = 5C                     Divide by 5

55/5 = 5C/5

C = 11

A + C = 50               Substitute for C

A + 11 = 50               Subtract 11 from both sides

A = 50 - 11

A = 39

The mass of the bar of chocolate in kilogram, kg is calculated to be 1.8kg

Given data

mass of a bar of chocolate is 1800g

density of the chocolate is 9g/cm

density is defined the ratio of mass and volume. therefore the density of the chocolate will be the ratio of the mass of the chocolate bar to the volume of the chocolate. this represented mathematically as:

The mass of the bar of chocolate is given in grams as 1800g

converting the unit to kg is done as follows

if 1kg is equal to 1000g, then how many kg is 1800g

= 1800 / 1000

= 1.8 kg

hence the mass of the chocolate bar in kg is 1.8 kg

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Answer:

A) 27

Step-by-step explanation:

\( \frac{16}{16 + 12} = \frac{63 - ?}{63} \)

➡️ \( \frac{4}{7} = \frac{63-? }{63}\)

➡️ \(63 - ? = 36\)

➡️ \(? = 27\)

Answer:

8x+2=y

I hope this helps:)

The concept of the fundamental period is important in the analysis of periodic signals and is used to obtain the Fourier series representation of a periodic signal. The fundamental period of the signal is π.

Given that, x[n] = 4A + sin(BπA + Bn), where A = 2 and B = 1 (based on the section number and the last digit of the student ID). Hence, the expression for the signal x[n] can be written as x[n] = 4(2) + sin(π + n).x[n] = 8 + sin(π + n).The given signal is a periodic signal with a period of T.

Hence, x[n] = x[n + T].x[n + T] = x[n]⇒ 8 + sin(π + n + T) = 8 + sin(π + n).⇒ sin(π + n + T) = sin(π + n). This is true for all values of n if (π + n + T) - (π + n) = 2πk, where k is an integer.⇒ T = 2πk. From the above expression, it is evident that the value of T is a function of k.

In order to obtain the fundamental period, we need to find the smallest possible value of T that satisfies the above equation.We know that sin(π + n) = -sin(n).Hence, sin(π + n + T) = -sin(n + T).⇒ -sin(n + T) = sin(n). We know that the maximum value of sin(n) is 1 and the minimum value is -1.

Therefore, sin(n + T) = sin(n) should hold true for all values of n from -∞ to ∞. Hence, the smallest possible value of T can be obtained by finding the smallest value of T for which sin(T) = sin(0) = 0. Since sin(T) = 0, T = mπ, where m is an integer.

Substituting this value of T in the given equation, we get, sin(π + n + T) = sin(π + n + mπ) = -sin(n + mπ) = -sin(n). Therefore, the fundamental period of the given signal is T = mπ = π. Hence, the fundamental period of the signal is π.

The fundamental period of a periodic signal is the smallest possible period for which the signal repeats itself. In other words, the fundamental period is the smallest possible value of T for which x[n] = x[n + T] holds true for all values of n.

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The distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82

We are given the two coordinate points as;

G(8, -2) and H(-1, 4)

The formula to find the distance between these two given coordinates is;

d = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the relevant values gives;

d = √[(-1 - 8)² + (4 - (-2))²]

d = √(81 + 36)

d = √117

d = 10.82

Thus, the distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82

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Based on the provided informations and given values , the expected payout of the game is calculated out to be  $177.

We can calculate the expected payout of the game by multiplying each payout amount by its corresponding probability and summing up the results:

Expected payout = ($200 x 0.126) + ($3,800 x 0.03) + ($190,000 x 0.0002)

Expected payout = $25.20 + $114 + $38

Expected payout = $177 (rounded to the nearest dollar)

Therefore, it can be concluded that the expected payout of the game is found to be $177.

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