Solve the equation for x 6x-18-3x<27-2x

$15000+$720 = $15720

由于 1 美元等于 6.4 人民币，我们可以将 15720 乘以 6.4 得到正确结果：

100568¥

本题已由中国数学会官方解答（现有会员：2人）

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer:

A) 20+2h=y

B) $30

Step-by-step explanation:

2 times 5 is 10. 10 plus 20 is 30.

The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.

In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.

To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).

For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:

P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12

Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.

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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.

In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.

To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.

The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.

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Answer:

D

Step-by-step explanation:

Answer:

2020

Step-by-step explanation:

Answer:

2020  i think i hope it is the right answer for you

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

\(6x+2=5\)

\(6x=5-2\)

\(6x=3\)

Divide both sides by 6.

\(x=\dfrac{3}{6}\)

\(x=0.5\)

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

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Answer:

14.4

Step-by-step explanation:

Answer: See photo for answer. Hope this helps!

Step-by-step explanation:

The length of the edge of the square is increasing at a rate of 12/13 cm/min when the area is 169 cm^2, given that the area of the square is increasing at a rate of 24 cm^2/min.

Let's assume that the side length of the square is represented by "x" and the area of square is represented by "A". Then we have:

A = x^2

Differentiating both sides with respect to time "t", we get:

dA/dt = 2x(dx/dt)

Given that dA/dt = 24 cm^2/min, we can find dx/dt when A = 169 cm^2 (which is the area of a square with side length of 13 cm):

24 = 2(13)(dx/dt)

Simplifying this expression, we get:

dx/dt = 24/(26) = 12/13

Therefore, the length of the edge of the square is increasing at a rate of 12/13 cm/min when the area is 169 cm^2.

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_____The given question is incomplete, the complete question is given below:

The area of a square is increasing at a rate of 24 cm^2/min

How fast is the length of the edge increasing when the area = 64 cm^2

Answer:

7 lbs

Step-by-step explanation:

Answer:

You can buy about 7 pounds of apples.

Step-by-step explanation:

Since we're dealing with cents, we'll change 88 to 0.88 so we can solve.

I personally did 0.88p = 6, where p = pounds, and then I divided 0.88 on both sides.

Of course you could just divide normally,

6 ÷ 0.88, either way it equals 6.81 repeating.

When you round that up, it will equal to 7.

Hope this helps :)

28 different even numbers can be formed using 1,2,3,4 and 5 that are less than 500.

To form the even number from a combination of five different numbers 1 to 5 and the even number less that will be formed from such a combination are less than 500. Therefore, in this scenario, 28 different event numbers will be formed. The cases to formed the even number from 1,2,3,4 and 5 are given below:

Case 1: There is only one digit in the number.

The only even integers in this situation are 2 and 4, adding up to a total of 2.

Case 2: There are exactly two digits in the number.

In this instance, the first digit must be one of the other four permitted digits and the last digit must be either 2 or 4, for a sum of 2*4=8.

Case 3: There are exactly three digits in the number.

In this instance, the middle digit must be one of the other four permitted digits, and the last digit must either be 2 or 4.

The total will be 2*3*2=12 if the middle digit is not 5, which means the first digit must be one of two digits other than the final two digits and 5.

As a result, there exist 28 even numbers with the digits 1, 2, 3, and 5 that are less than 500.

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The resultant vector on the car would be a vector pointing north with a magnitude of 2 miles per hour.

The resultant vector is the net effect of two or more individual vectors on an object. It is the overall force or movement that is produced when all the individual vectors are combined. To find the resultant vector, you would add together all of the individual vectors using vector addition. The resultant vector would be represented by a single vector with a certain magnitude and direction.

If a car is rolling south at 8 miles per hour, and a man pushes the car north at 10 miles per hour, subtract the southward velocity from the northward velocity.

10 mph northward - 8 mph southward= 2 mph northward

Therefore, the resultant vector on the car is 2 mph northward.

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A ratio that compares the number of loaves of rye bread to the number of loaves of wheat bread is 3:8.

A ratio is a relative size of a value compared to another.

Ratios are given as quotients from division operations between the numerators and the denominators.

Ratios can also be represented as fractional values using decimals, fractions, and percentages.

Most often, the ratio symbol (:) is used to depict the numerical relationships between values.

The number of loaves of wheat bread = 8

The number of loaves of rye bread = 3

The ratio to describe and compare the number of loaves of rye bread to the number of loaves of wheat bread is 3:8

The sum of ratios = 11 (3 + 8).

Thus, relatively, the restaurant worker used 3 loaves of rye bread and 8 loaves of wheat bread to make the sandwiches.

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Answer:

Answer:\(13c = 65 \ \ c = \frac{65}{13} \ \ c = 5\)  More

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Answer:

simplified equation is 10y-10x

Step-by-step explanation:

8(y-x) -2(x-y)

multiple 8 and 2 by the corresponding parentheses

8y-8x -2x +2y

10y -10x

Answer:

  26√11 square inches

Step-by-step explanation:

You want to know the area of a triangle with side lengths 13, 15, and 24 inches.

The area of a triangle can be found using Heron's formula:

  A = √(s(s -a)(s -b)(s -c)) . . . . . where s = (a+b+c)/2

For (a, b, c) = (13, 15, 24), the area is ...

  s = (13 +15 +24)/2 = 26

  A = √(26(26 -13)(26 -15)(26 -24)) = √(26·13·11·2) = 26√11

The area of the triangle is 26√11 square inches.

__

Additional comment

That's about 86.23 square inches.

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(a) By plugging in different values for x1, we can plot the indifference curves passing through the given points (2, 2), (1, 2), and (4, 2).

(b) The shape of the indifference curves shows convexity.

(c) The property used to determine this is the non-satiation property of preferences.

(d) The Walrasian demand may not always be single-valued.

(e) Receiving the voucher makes the consumer better-off .

(f) The cash payment allows the consumer to maximize utility by making trade-offs

For 4x1 + x2 = x1 + 2x2, rearranging the equation gives x2 = 3x1, representing the linear part of the indifference curves.

For x1 + 2x2 = 4x1 + x2, rearranging the equation gives x2 = 3x1, representing the kink in the indifference curves.

By substituting different values for x1, we can plot the indifference curves. They will be upward sloping straight lines with a kink at x2 = 3x1.

(b) Properties of the preferences deduced from the shape of indifference curves and utility function:

Diminishing Marginal Rate of Substitution (MRS): Indifference curves are convex, indicating diminishing MRS. The consumer is willing to give up less of one good as they consume more of it, holding the other good constant.

Non-Satiation: Indifference curves slope upwards, showing that the consumer prefers more of both goods. They always prefer bundles with higher quantities.

Convex Preferences: The kink in the indifference curves indicates convexity, implying risk aversion. The consumer is willing to trade goods at different rates depending on the initial allocation.

(c) UMP does not have a solution when Pk = 0 and X -> R2+. This violates the assumption of finite resources and prices required for utility maximization. The property used is non-satiation, as a consumer will always choose an infinite quantity of goods when they are available at zero price.

(d) Walrasian demand depends on relative prices:

If p1 = p2 > 4, the maximizing bundle lies on the linear portion of indifference curves, where x2 = 3x1.

If 4 < p1 = p2 < 1/2, the maximizing bundle lies on the linear portion of indifference curves but at lower x1 and x2.

If p1 = p2 < 1/2, the maximizing bundle lies at the kink point where x1 = x2.

Walrasian demand may not be single-valued due to the shape of indifference curves and the kink point, allowing for multiple optimal solutions based on relative prices.

(e) Given p1 = p2 = 1 and w = $60, the initial budget set is x1 + x2 = 60. With a $10 voucher for good 1, the new budget set becomes x1 + x2 = 70. Since p1 = 1, the consumer spends the voucher on good 1, resulting in x1 = 20 and x2 = 40. Receiving the voucher improves the consumer's welfare by allowing more consumption of good 1 without reducing good 2.

(f) If given the choice between a $10 cash payment and a $10 voucher for good 1 only, the consumer would choose the cash payment. It provides flexibility to allocate the funds based on individual preferences. The answer remains the same even if the assistance were $30, as the cash payment still allows optimal allocation based on preferences. Cash payment offers greater utility-maximizing options compared to the voucher, which restricts choices.

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Answer:

Step-by-step explanation:

So we know that:

Total Cost: $12.40

Beads per Necklace: 2.80

So the first thing we have to do is multiply 2.80 by 2 which equals 5.6 so that's how much of the total cost was for beads.

So now we subtract the amount of money for the beads and the total cost of the necklaces 12.40 - 5.6 = 6.8

So 6.8 was the amount of money that is left for the pendants. Now that we know that we have to divide that by 2 to find out how much money did Carlos spend for each pendant,

6.8÷2= 3.4

So Carlos spent 3 dollars and 4 cents on each pendant.

Answer:

7.1

Step-by-step explanation:

Use the trig ratio tan to find b

4.5 x tan (23) = b = 7.14668887526

7.1

Answer:

b ≈ 1.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = \(\frac{opposite}{adjacent}\) = \(\frac{b}{4.5}\) ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to the nearest tenth )

Answer: He bought y tarps

Step-by-step explanation: this confusing

Answer:

this is my answer. hope it's helpful

Step-by-step explanation:

7x-2x-2=6x+14

5x-2=6x+14

5x-6x=14+2

-x=16

X=-16

Answer:

60 inches

Step-by-step explanation:

12 feet=144 inches

28in x 3 = 84

144-84= 60

Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

The conversion of units is the process of converting a quantity between multiple units of measurement, usually using multiplicative conversion factors.

The conversion factor between inch and foot are:

1 foot = 12 inches,

or, 1 inch = 1/12 feet.

We are informed that Sarah has a wooden board that is 12 feet long.

We are asked that if she cuts three 28-inch pieces from the board, how many inches of the board will she have left.

To solve the problem, we convert the length of the wooden board from feet to inches.

The board is 12 feet long. We know 1 foot = 12 inches.

∴ 12 feet = 12*12 inches = 144 inches.

∴ Length of the board = 144 inches.

Size of the piece cut by Sarah = 28 inches.

She cuts 3 such pieces,

∴ Total piece of board cut = 3*28 inches = 84 inches.

∴ Length of the board Sarah is left with = Total length of the board - Total piece cut from the board = 144 - 84 inches = 60 inches.

∴ Sarah is left with 60 inches of the board, after cutting three pieces of 28 inches of the board from 12 feet long board which is equal to 144 inches converted using the conversion factor.

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Answer:

57°F

Step-by-step explanation:

The absolute value of -9 plus 48 equals 57.

The relative frequency of an 8th grader that has a cell phone but no tablet is given as follows:

0.21.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The relative frequency of an event is equals to the probability of the event.

Out of 100 8th graders, 21 have a cellphone but no tablet, hence the relative frequency is given as follows:

21/100 = 0.21.

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To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:

y = \(\frac{1}{2}\)

Step-by-step explanation:

Given y is inversely proportional to x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use the condition y = 5 when x = 7, then

5 = \(\frac{k}{7}\) ( multiply both sides by 7 )

35 = k

y = \(\frac{35}{x}\) ← equation of variation

When x = 70, then

y = \(\frac{35}{70}\) = \(\frac{1}{2}\)