solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)

x + 7y = 10.......(I)
3x - 2y = 7.......(ii)

5x + y = 10.......(I)
7x - 3y = 14......(ii)​

Answer:

x = 6

Step-by-step explanation:

Step 1: Write equation

75 - 3.5x - 4x = 4x + 6

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

75 - 3.5(6) - 4(6) = 4(6) + 6

75 - 21 - 24 = 24 + 6

54 - 24 = 30

30 = 30

Answer:

if you want solve the X the answer is  x=p^2  x=q^2

if you want solve the P the answer is  p=√ x p=-√ x

if you want solve the Q the answer is q=√ x   q=-√ x

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

7

Step-by-step explanation:

So:a=3

b=(-2)

c=2

Substitute the numbers into each letters

so a is represented by 3,c by 2 and b -2

therefore giving us: 2

3+(-2)=9+(-2)=7

Answer:

176 miles

Step-by-step explanation:

88x2=176

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

The solution is,  the answer would be , the slope of the red line is: -1/11.

Here, we have,

The lines shown below are parallel. If the green line has a slope of -1/11.

the reason being the slope of the green is a negative slope

because it is going down ward not upwards therefore it is negative

and because the the lines are parallel they are equal

First we have to understand the relationship between the slopes of parallel lines .

Slopes of parallel lines are equal .

So the slope of green line and red lie must be equal.

so the slope of both lines are -1/11.

Hence, The solution is,  the answer would be , the slope of the red line is: -1/11.

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Answer:

I think its 10 but I'm not certain

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

Determine what you could pay each month by using this mortgage calculator to calculate estimated monthly payments and rate options for a variety of loan terms. Get a breakdown of estimated costs including property taxes, insurance and PMI. ... Fixed 30 Years, Fixed 20 Years, Fixed 15 Years, ARM Fixed First 5 Years

Step-by-step explanation:

Answer:

the answer is mai is 54 and lin is 59

Answer: Financial Health

Step-by-step explanation:

Financial Health: this is the state of being steady or constant when it comes to you financial health. How do we normally tell a good financial health this includes.

1. steady flow of income. this occurs when you have a business which brings in a regula income.

2. strong returns on investments. such investments can be in real estate, stocks or shares.

3. A growing cash balance. when your abaial cash balance brings in interest.

Answer:

4 temp at 9 am

Step-by-step explanation:

At 1am temp=-6

At 5am temp=-1

5-1=4 hours and temp difference is -6+1=-5

so at 9 am temp will be -1+5=4

Answer:

¹/15

Step-by-step explanation:

Area of the rug = s²

Where s = 2 m

Area of the rug = 2² = 4 m²

Area of the rectangular carpet = length × width

Where,

Length = 12 m

Width = 5 m

Area = 12 × 5 = 60 m²

Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15

Answer: Hello!

Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!

Finn, tenth grader straight A student.

Have a great day.

After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

y = 1/3x +2

Step-by-step explanation:

when x =o, y=2

when x= -6, y=0

so slope is always the difference between the Ys divided by diff b/w the Xs

so the slope is (2-0)/(0-(-6)) =  1/3

the intercept by definition is when x=0, so it's 2

so Y = 1/3 X +2

Answer:

it's 10/21

Step-by-step explanation:

The value of 5/12 divided by 7/8 is 10/21

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.).

Examples of expression include; 5x -2 , 20 + x , x + y. This means expression is also when two terms is joined with an operation.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

solving 5/12 ÷ 7/8

= 5/12 × 8/7

= 5/6 × 4/7

= 5/3 × 2/7

= 10/21

Therefore the value of 5/12 divided by 7/8 is 10/21

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The time it will take for your account balance to reach $10,000 is given as follows:

t = 10.8 years.

The balance of an account after t years, using continuous compounding, is given as follows:

A(t) = A(0)e^(kt).

In which:

The parameters for this problem are given as follows:

A(0) = 6500, k = 0.04.

Hence the time needed for a balance of $10,000 is obtained as follows:

10000 = 6500e^(0.04t)

e^(0.04t) = 10000/6500

0.04t = ln(10000/6500) -> ln is the inverse operation of the exponential

t = ln(10000/6500)/0.04

t = 10.8 years.

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We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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The option that gives the correct value of the second term is;

Option B; -73728x¹¹y

We are given the expression;

(2x - 3y)¹²

Now we want to find the second term using binomial expansion.

(x + y)² = x² + 2xy + y²

(x - y)³ = x³ - 3x²y + 3xy² + y³

(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴

(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....

Now applying this same system above to our question gives us;

(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........

Thus, our second term here is; -73728x¹¹y

In conclusion, the correct option that gives the second term is Option B.

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Answer:

less than 60 is 59 and greater than 60 is 61

Answer:40 and 20

Step-by-step explanation: Mathematically the first fill in the blank can be any number less than 60 here in I have taken it as 40.In the second fill in the blank the it can be any number less than 40 so 20 can be answer I hv chosen here.

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

I never did this sort of stuff so correct me if I am wrong but I think it's 25

Step-by-step explanation:

Answer: 15.4

Step-by-step explanation: First find the unit rate: 14/380=0.03684210526

Then multiply by the # of miles Josh needs to drive(Which is 418): 0.03684210526  times 418= 15.4

f(x) = sin(x)

Domain (–∞, ∞)

Range [–1, 1]

y = arcsine(x)

y = f–¹(x)

Domain [–1, 1]

Range [–π/2, π/2]

Answer:

Step-by-step explanation:

The cost of hiring a car can be worked out using this rule. Cost = £80 + 50p per mile. 50p. = to.s per mile per mile. Carlos hires a car and drives 90 miles.

Given:

a.) The actual dimension of a rectangular classroom is 36 feet in length and 32 feet in width.

b.) In a scaled drawing, the floor has a length of 9 inches.

For us to be able to determine the area of the classroom's scaled drawing, let's first determine the scaled width.

Let,

x = the scaled width

Applying ratios and proportions, we get:

Therefore, the scaled width is 8 inches.

Let's now find the area:

Therefore, the area of the scaled drawing is 72 in.²