Select all the equations that have the same solution as the equation 4x - 12 = 36
A 4x = 48
B 2x - 6 = 18
С
4x = 24
D
X-4 = 24
E 8x - 24 = 72

The airplane that flies 2695km in 3hr 30minute will take 8 hr to fly a distance of 6160km

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

The formula and procedure we will use to solve this problem is:

v= x/t

Where:

Information about the problem:

Converting the time from minutes to hours we have:

30 min * (1 hr / 60 min) = 0.5 hr

t = 3 hr + 0.5 hr = 3.5 hr

Applying the velocity formula we get:

v = x/t

v = 2695 km / 3.5 hr

v = 770 km/ hr

Applying the velocity and isolating the time we have:

t2 = x2/v

t2 = 6160 km / 770 km/ hr

t2 = 8 hr

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Answer:

100,000 times

Step-by-step explanation:

(50,000)/0.5 = 100,000

Answer:

x=10

Step-by-step explanation:

7x+70=16x-20

70=9x-20

9x=90

x=10

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:

$8.75

Step-by-step explanation:

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Answer:

it should be d:)

Step-by-step explanation:

Answer:

B or C

Step-by-step explanation:

Let's begin by listing out the given information:

2.

a)

b)

Answer:

b(-10) = 6

Step-by-step explanation:

B(x)= |x+4|

Let x = -10

B(-10)= |-10+4|

            |-6|

Take the positive value

               6

Answer:

6

Step-by-step explanation:

|-10+4|

|-6|

Remove brackets

6

If the rank of matrix A is equal to the number of columns of A, and the rank of matrix A is equal to the rank of the augmented matrix [A|b], then the system Ax = b will have a unique solution for all choices of b. Otherwise, the system Ax = b will not have a unique solution for all choices of b.

To determine if the system ax = b has a solution for all choices of b, we need to look at the rank of the matrix A and the rank of the matrix formed by appending the vector b to the matrix A.

The rank of a matrix is the number of linearly independent rows or columns in the matrix. If the rank of matrix A is equal to the number of columns in A, then matrix A is full rank and the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the number of columns in A, then matrix A is not full rank, and the system Ax = b will not have a unique solution for all choices of b.

If the rank of matrix A is equal to the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will have a unique solution for all choices of b. If the rank of matrix A is less than the rank of the matrix formed by appending the vector b to matrix A, the system Ax = b will not have a unique solution for all choices of b.

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The maximum amount that should be used for fixed expenses per month is $1,806.36/month.

To find the maximum amount that should be used for fixed expenses per month, we need to first calculate the monthly income based on the weekly income provided.

We have are 52 weeks in a year, so the annual realized income is:

= $834.26/week / 52 week/year

= $43,352.52/year

To find the monthly income, we divide the annual income by 12:

= $43,352.52/year / 12 months/year

= $3,612.71/month

According to the given note, fixed expenses should not be more than 50% of the monthly income. Therefore, the maximum amount that should be used for fixed expenses per month is:

= 50% x $3,612.71/month

= $1,806.36/month

Note: The fixed expenses should not be more than 50% of the monthly income.

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List the multiples of each award:

24: 1 , 2, 3, 4, 6, 8, 12, 24

18: 1, 2, 3, 6, 9, 18

The greatest common multiple is 6

The greatest number of shelves will be 6.

For the continuous function, the limit h approaches 0 of the average value of f is written as:

\(\lim_{h \to \infty} (f(x +h))=f(x)\)

The function's limit can be found using the derivative of the function concept. If the function is continuous and we know the value of the function at some point, then the limit will also be the same value as that of the function's at that point.

For the continuous function, the limit h approaches 0 of the average value of f is written as:

\(\lim_{h \to \infty} (f(x +h))=f(x)\)

Since, This is when the function is continuous.

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Step-by-step explanation:

calculating backwards :

12:39 pm minus 1 hour 13 minutes = 11:26 am

the cake needs to get into the oven latest at that time.

caucuses further backwards :

11:26 am minus 26 minutes = 11:00 am

Evan has to start latest at 11:00 am to have the cake ready at 12:39 pm.

To verify the parallelogram law for vectors u and v in R^n, we will follow these steps:
1. Write the given equation: ||u+v||^2 + ||u-v||^2 = 2||u||^2 + 2||v||^2
2. Use the definition of the norm in terms of the inner product: ||u+v||^2 =  and ||u-v||^2 =
3. Use properties of inner product.

Now, let's apply these steps:
Step 1: We have the equation ||u+v||^2 + ||u-v||^2 = 2||u||^2 + 2||v||^2.
Step 2: Replace the norms with their corresponding inner products:
+  = 2 + 2
Step 3: Apply properties of inner products and expand the terms:
(u⋅u + 2u⋅v + v⋅v) + (u⋅u - 2u⋅v + v⋅v) = 2(u⋅u) + 2(v⋅v)
Now, observe that the terms "2u⋅v" and "-2u⋅v" cancel each other out: 2(u⋅u) + 2(v⋅v) = 2(u⋅u) + 2(v⋅v)
As the equation holds true, we have successfully verified the parallelogram law for vectors u and v in R^n using the definition of the norm in terms of the inner product and properties of inner product.

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To simplify the expression 80−−√−2 45−−√, we can use the fact that the square root of a number squared is equal to the number itself.

First, we can simplify the expression inside the square root:

80−−√−2 45−−√ = √(80−−2 45−−)

Then, we can simplify the expression inside the parentheses:

√(80−−2 45−−) = √((80−−2) 45−−)

Using the fact that the square root of a number squared is equal to the number itself, we can simplify the expression further:

√((80−−2) 45−−) = √(80−−2 * 45−−) = √(80−−2 * 45)

Finally, we can simplify the expression inside the parentheses:

√(80−−2 * 45) = √(80 * 45) = √(3600) = 60

Therefore, the simplified form of the expression 80−−√−2 45−−√ is 60.

Answer:

1. x = 0

12. x = 3

13. x = 0

14.

Answer: about 3 1/2

according to my calculations, if Im wrong then shoot me in the nuts

Step-by-step explanation:

Answer: -8 through -∞, so -8>x>-∞

Step-by-step explanation: This is pretty simple, as this means any number between -8 and -∞.

A motorboat with a speed of 10 km/hr in still water travels 35 km upstream on a river and 18 km up an adjacent stream for 8 hours. The speed of the river's current is approximately 5.55 km/hr.

Let's call the speed of the stream's current "v" km/hr, and the speed of the river's current "v - 1" km/hr (since it is 1 km/hr slower than the stream's current). Let's also call the speed of the motorboat in still water "s" km/hr.

When the motorboat is traveling upstream (against the current), its effective speed is:

s - (v - 1)

When the motorboat is traveling downstream (with the current), its effective speed is:

s + (v - 1)

Using the formula distance = speed x time, we can set up two equations based on the distances traveled upstream and downstream:

35 = (s - (v - 1))t1

18 = (s + (v - 1))t2

We also know that the total time spent on the trip is 8 hours:

t1 + t2 = 8

We can use the first equation to solve for t1:

t1 = 35 / (s - (v - 1))

We can use the second equation to solve for t2:

t2 = 18 / (s + (v - 1))

Substituting these expressions for t1 and t2 into the third equation, we get:

35 / (s - (v - 1)) + 18 / (s + (v - 1)) = 8

Multiplying both sides by (s - (v - 1))(s + (v - 1)), we get:

35(s + (v - 1)) + 18(s - (v - 1)) = 8(s - (v - 1))(s + (v - 1))

Expanding and simplifying, we get:

53s - 17v + 17 = 4s^2 - 4v^2 + 6s + 6v

Rearranging and simplifying, we get:

4s^2 - 47s + 4v^2 + 23v - 17 = 0

We have two unknowns (s and v), so we need another equation. We can use the fact that the speed of the motorboat in still water is 10 km/hr:

s - v = 10

We can solve this equation for s:

s = v + 10

Substituting this expression for s into the previous equation, we get:

4(v + 10)^2 - 47(v + 10) + 4v^2 + 23v - 17 = 0

Expanding and simplifying, we get:

4v^2 + 74v - 477 = 0

Solving this quadratic equation using the quadratic formula, we get:

v ≈ 5.55 km/hr (rounded to two decimal places)

Therefore, the speed of the river's current is approximately 5.55 km/hr.

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Answer:

I think the answer is 16

Step-by-step explanation:

Answer:  -3+6= 3/4 (4+4)

here is your answer your welcome

Answer:

is the right answer.

Answer:

3(e+2)

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The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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