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I had 3 times as many rose bushes as holly bushes in my garden. Then i moved seven of my rose bushes to my grandfather’s garden, and i planted 11 new holly bushes in my garden. Now there are 6 fewer rose bushes than holly bushes in my garden. How many rose bushes did I have initially?

Answer:

x= -11

It only has one solution.

Step-by-step explanation:

Answer:

2\(x^3\) - 7\(x^2\) + 8x -3

Step-by-step explanation:

To multiply a binomial (2 terms) by a trinomial (3 terms):

Multiply the first term of the binomial by the each term of the trinomial.

Multiply the second term of the binomial by each term of the trinomial.

Combine the expressions and simplify.

(2x-3)*(\(x^2\)-2x+1)

(2x * \(x^2\)) + (2x * -2x) + (2x * 1)

(2\(x^3\)) + (-4\(x^2\)) + (2x)

(2x-3) * (\(x^2\)-2x+1)

(-3 * \(x^2\)) + (-3 * -2x) + (-3 * 1)

(-3\(x^2\)) + (6x) + (-3)

[2\(x^3\) + -4\(x^2\) + 2x] + [-3\(x^2\) + 6x + -3]

2\(x^3\) - 7\(x^2\) + 8x -3

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Answer:

a = 2

Step-by-step explanation:

\( \frac{a - ( - 6)}{ - 8 - a} = - \frac{4}{5} \)

\( \frac{a + 6}{a + 8} = \frac{4}{5} \)

\(4(a + 8) = 5(a + 6)\)

\(4a + 32 = 5a + 30\)

\(a = 2\)

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

If an investor sells his investments and earns money , B) he will be taxed.

When an investor sells an investment and earns money, this is considered a capital gain, which is subject to taxation by the government. The amount of tax owed will depend on various factors, including the type of investment, the length of time the investment was held, and the amount of the gain.

Option A is incorrect because gains are typically added to an investor's taxable income, not deducted from it. Option C is incorrect because the initial value of the investment is not affected by the sale or gains earned. Option D is incorrect because there may be transaction fees or brokerage fees associated with the sale, but there are typically no government penalties unless the sale was illegal or fraudulent.

what is gain?

In the context of finance and investments, gain refers to the increase in value or profit that is achieved from a particular investment or transaction. It can also refer to an increase in income or earnings from a business or other activity.

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Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

There are no repeated inputs, hence the relation is a function and option A is correct.

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Answer:

36

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i did it

Answer:

1 - 1/3

Step-by-step explanation:

Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.

Answer:

100% of 600 is 600

Step-by-step explanation:

Answer:

600 is the correct answer

Step-by-step explanation:

thanks

The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

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\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y=\cfrac{1}{3}(x+6)\implies y=\cfrac{1}{3}x+2\)

The volume of the piñata is

1152 cubic in

The volume is solved by breaking the composite shape into two prisms

The volume is solved individually and then added together

Volume of square prism

= area x thickness

= 12 x 12 x 6

= 864 square in

Volume of triangular prism

= area x thickness

= 1/2 x 8 x 12 x 6

= 288 square in

The volume of the piñata

= 864 square in + 288 square in

= 1152 cubic in

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The greatest whole number possible length for the given measures of triangle is 23 cm.

As given in the question,

Measure of two side-length of a given triangle are :

Let 'x' be the side length = 8.5cm

And 'y' be the side length = 15cm

'z' be the side length of the third side of a triangle.

Sum of two sides is greater than third side and difference of two sides is smaller than the third side.

y - x < z < y + x

⇒ 15 - 8.5 < z < 15 + 8.5

⇒ 6.5 cm < z < 23.5cm

Greatest whole number representing length of the third side of a triangle is  less than 23.5 .

⇒ z = 23cm

Therefore, the length of the third side of a triangle represented by greatest whole number is equal 23cm.

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Answer:

See image below

Step-by-step explanation:

The correct option is option D. h(x) = 2 tan(x) - 3.

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given is the graph of the tangent function.

f(x) = tan (x).

Now, it is clear that, the function is translated 3 units to the down, since the point 0 in the original function is translated to -3 in the translated function.

So the first transformation is ,

f(x) changes to f(x) - 3.

tan (x) changes to tan(x) - 3.

Now, we can see that the graph is stretched.

The factor that the graph is stretched is 2.

So, tan(x) - 3 changes to 2tan(x) - 3.

Hence the correct option is D. h(x) = 2 tan(x) - 3.

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Therefore, the probability that the light will not be green when you arrive is approximately 0.5333 or 53.33%.

Total time for one complete cycle = green time + yellow time + red time

= 28 seconds + 5 seconds + 27 seconds

= 60 seconds

The probability that the light will not be green when you arrive can be calculated by dividing the time for which the light is not green (yellow + red) by the total time for one complete cycle.

Probability = (yellow time + red time) / total time for one complete cycle

= (5 seconds + 27 seconds) / 60 seconds

= 32 seconds / 60 seconds

≈ 0.5333 (rounded to four decimal places)

Therefore, the probability that the light will not be green when you arrive is approximately 0.5333 or 53.33%.

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A F distribution with 3 degrees of freedom between groups and 32 degrees of freedom within groups.

The degrees of freedom between groups indicate that there are 4 groups being compared (3 degrees of freedom between groups = number of groups - 1, so 3 + 1 = 4 groups). The degrees of freedom within groups represent the total number of participants minus the number of groups.

Since there are equal numbers of participants in each group, we can determine the number of participants per group by dividing the degrees of freedom within groups by the number of groups minus 1. In this case, we have 32 degrees of freedom within groups and 4 groups, so we can calculate as follows: (32 + 4) / 4 = 9 participants per group.

In summary, in this F distribution with 3 degrees of freedom between groups and 32 degrees of freedom within groups, there are 4 groups being compared, and each group has 9 participants, assuming equal numbers of participants per group.

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Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

3x+13 = 40+2x

collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

Answer:

explanation

Step-by-step explanation:

it drives 18 miles?

I'm not sure.

if I am right plz give brainliest

When solving a word problem using a system of linear equations of the form Ax + By = C, the first step is to identify the variables and write down the equations.

The system of linear equations can then be solved by using elimination or substitution method.

Steps involved in solving a word problem using a system of linear equations:

Step 1: Identify the variables and write down the equations.

Let's consider an example:

Rohan has 16 pens and 8 pencils. The total cost of the pens and pencils is $5.20. A pen costs $0.30 more than a pencil. What is the cost of each pen and pencil?

Let's represent the cost of a pen as x and the cost of a pencil as y.

We can then write two equations based on the given information as follows:

Equation 1: x = y + 0.30

(as a pen costs $0.30 more than a pencil)

Equation 2: 16x + 8y = 5.20

(as the total cost of the pens and pencils is $5.20)

Step 2: Solve the system of linear equations using elimination or substitution method.

In this case, we can substitute the value of x in Equation 2 with the value obtained in Equation 1.

Substituting x = y + 0.30 in Equation 2, we get:

16(y + 0.30) + 8y = 5.2016y + 4.80 + 8y

                           = 5.20124y = 0.40y = 0.40/124y

                           = 0.032

Thus, the cost of a pencil is $0.032.

Step 3: Find the value of the other variable. We can substitute the value of y in Equation 1 to get the value of x.

x = y + 0.30x

  = 0.032 + 0.30x

  = 0.332

Thus, the cost of a pen is $0.332.

Hence, the cost of each pen and pencil is $0.332 and $0.032, respectively.

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Answer:

30 eggs

Step-by-step explanation:

1 egg makes 3 pancakes so 30 eggs would make 90 pancakes becaue the ratio is 1:3.

To find your answer you could have done 90÷3

Answer:

113.1cm aka 113

Step-by-step explanation:

Answer:

6 r10

Step-by-step explanation:

If you do 215 divided by 32 you get 6.71875 so i just rounded your answers and got B) if not be its D)

Answer:

C

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

Sample space:

000

001

010

011

100

101

110

111  

From the sample space, total = 8

At least one 0,  there are 7 with at least one 0

Probability =  Possible outcome / Total =  7/8  

(a) The seven consecutive numbers are \(n,n+1,n+2,n+3,n+4,n+5,n+6\).

(b) The sum of all the seven consecutive numbers is \(7n+21\).

Given:

The smallest number in the seven consecutive numbers is \(n\).

Explanation:

(a)

The gap between two consecutive numbers is always \(1\). It means we can add \(1\) in the current number to get the next number.

First number is \(n\), so the second number is \(n+1\) and the third number is \((n+1)+1\) that is \(n+2\).

Fourth number: \((n+2)+1=n+3\)

Fifth number: \((n+3)+1=n+4\)

Sixth number: \((n+4)+1=n+5\)

Seventh number: \((n+5)+1=n+6\)

Therefore, seven consecutive numbers are \(n,n+1,n+2,n+3,n+4,n+5,n+6\).

(b)

The sum of these seven consecutive numbers is:

\(\text{Sum}=n+(n+1)+(n+2)+(n+3)+(n+4)+(n+5)+(n+6)\)

\(\text{Sum}=(n+n+n+n+n+n+n)+(1+2+3+4+5+6)\)

\(\text{Sum}=7n+21\)

Therefore, the sum of all the seven consecutive numbers is \(7n+21\).

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The solution is, the cost of each ticket is $21.25.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

each of them bought a game ticket and a $16.50 team jersey.

together, they paid a total of $75.50.

now, we get,

total cost of jersey = 16.50 * 2

                               =33

so, total cost of ticket = 75.50 - 33

                                    =42.50

so, we get,

the cost of each ticket = 42.50 / 2

                                     =21.25

Hence, The solution is, the cost of each ticket is $21.25.

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Answer:

Length of ladder =L =15

Distance from wall = D =9

Height on wall = H =??

Pythagoras equation L*L = D*D + H*H

15×15= (9×9) + H×H

225-81 = 144 =HxH

H= 12 feet.

I am right or wrong

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