is it true or false , why and why not ?

9a is equivalent to 11a - 2a

Answer:

4 and 1/8

Step-by-step explanation:

1 and 3/8 is equivalent to 11/8 which is one lap. If she ran 3 laps, you would multiply 11/8 by 3 which would get you 33/8- which is equivalent to 4 and 1/8.

Answer:

The answer is not -1/2

Step-by-step explanation:

I got the answer from the person above and the answer is not -1/2 so do not believe them.

Answer:

Notebook: 5$ each. Folder: 7.50$ each.

Step-by-step explanation:

A notebook costs 5$ more than a folder, and 3 notebooks were purchased, so we can safely say that at least 15$ was spent on notebooks. Then, take the remaining number after subtracting 15 from 30 and divide it by 2, assuming all of the folders are the same price.

In the concert, there were 68 adult tickets and 57 children tickets were sold with a total of 125 attendees and total receipts of $238.5, with a cost of $2.25 per adult ticket and $1.5 per child ticket.

Let's denote the number of adult tickets sold by A and the number of children tickets sold by C. Then, we can write two equations based on the information given:

A + C = 125 (total number of attendees is 125)

2.25A + 1.5C = 238.5 (total receipts for the concert is $238.5)

We can use the first equation to express one of the variables in terms of the other:

A = 125 - C

Substituting this expression for A into the second equation, we get:

2.25(125 - C) + 1.5C = 238.5

Simplifying and solving for C, we get:

281.25 - 2.25C + 1.5C = 238.5

0.75C = 42.75

C = 57

Substituting this value for C into the first equation, we can solve for A:

A + 57 = 125

A = 68

Therefore, 68 adult tickets and 57 children tickets were sold for the concert.

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The correct option is D. 2x + 7 is used for solving the equation by substitution.

The following are the two given equations;

4x = 5 - 2y  .......equation 1

y - 2x = 7    .......equation 2;

using substitution mean put the value of one variable from 1 equation into the other.

Consider equation 2;

y - 2x = 7

y = 2x + 7  

Put this in equation 1;

4x = 5 - 2y

4x = 5 - 2(2x + 7)

Simplifying;

4x = 5 - 4x - 14

4x = 9 - 4x

8x = 9

x = 9/8

Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).

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Answer:

4.58 litres per hour

Step-by-step explanation:

To find the rate of water flow, we need to divide the amount of water that passed through the sponge by the time it took:

In this case, the amount of water that passed through the sponge is 110 litres and the time it took is 24 hours. So we can calculate the rate of water flow as:

Simplifying this, we get:

Therefore, the rate of water flow is 4.58 litres per hour.

________________________________________________________

The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.

The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.

Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.

The formula for geometric mean is given as:

\(\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}\)

Hence,

The geometric Mean =

1.0147506490423

\(\approx\) 1.1475


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The x-coordinate of the point i.e. 3/4 of way from R to S is 3/7, using the segment formula.

What is segment formula ?

Segment formula is the easiest way to find x and y coordinate of a point when ratio of distances over end point is given i.e.:

Let the coordinate of point P(x, y) dividing the line segment joining the points A(x1 , y1) and B(x2 , y2) internally in ratio m1:m2 then

x= \(\frac{m1x2+m2x1}{m1+m2}\)

y = \(\frac{m1y2 + m2y1}{m1+m2}\)

using given information,

Let R is 1st point and S is 2nd point ,

3/4 is the ratio so,

m1 = 3,

m2 = 4

x1 = -3

x2 = 5

y1 = -3

y2 = 2

Putting values in above formula for x,

we get

x = 3/7

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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To compute the limit as x approaches 0 of  \(\frac{5x^2}{cos(4x)-1}\), we will utilize L'Hôpital's Rule. The limit evaluates to 5/8.

To compute the limit, we will apply L'Hôpital's Rule, which states that if the limit of a ratio of two functions exists in an indeterminate form (such as 0/0 or ∞/∞), then the limit of the ratio of their derivatives exists and is equal to the limit of the original function.

Let's evaluate the limit step by step:

lim (x->0)  \(\frac{5x^2}{cos(4x)-1}\)

Since both the numerator and denominator approach 0 as x approaches 0, we have an indeterminate form of 0/0. Thus, we can apply L'Hôpital's Rule.

Taking the derivatives of the numerator and denominator:

lim (x->0) \(\frac{10x}{-4sin(4x)}\)

Now we can evaluate the limit again:

lim (x->0) \(\frac{10x}{-4sin(4x)}\)

Substituting x = 0 into the expression, we get:

lim (x->0) 0 / 0

Once again, we have an indeterminate form of 0/0. Applying L'Hôpital's Rule once more:

lim (x->0) \(\frac{10}{-16cos(4x)}\)

Now we can evaluate the limit at x = 0:

lim (x->0)  \(\frac{10}{-16cos(4x)}\) =  \(\frac{10}{-16cos(0)}\) =  \(\frac{10}{-16(-1)}\) = 10 / 16 = 5/8

Therefore, the limit as x approaches 0 of \(\frac{5x^2}{cos(4x)-1}\) is 5/8.

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The correct question is:

Compute lim x->0   \(\frac{5x^2}{cos(4x)-1}\). Show each step, and state if you utilize l'Hôpital's Rule.

The investigator is using stratified random sampling.

Stratified random sampling is a probability sampling technique in which the population is divided into sub-populations (called strata) according to one or more common characteristics. A random sample is then taken from each stratum, and the samples from all strata are combined to form the overall sample.

Formula:

Let S = Total population size

Let N = Sample size

Let N1, N2, N3, ..., Nn = Sample sizes from each stratum

Then, N1 + N2 + N3 + ... + Nn = N

Calculation:

In this case, the investigator is dividing the schools in the state into groups based on school district. Therefore, the total population size (S) is the total number of high schools in the state. The sample size (N) is the total number of high schools and students included in the survey. The sample sizes from each stratum (N1, N2, N3, ..., Nn) are the number of high schools and students randomly selected from each school district.

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Ahmad as a hirer has the right to contest the validity of the repossession by Easy Bank Bhd. as the repossession was not in compliance with the requirements under the Hire Purchase Act 1967.

The notice of repossession must be in writing, signed by or on behalf of the owner, and must state the default, the amount due and payable by the hirer and the right of the hirer to terminate the hire-purchase agreement by giving written notice of termination to the owner within twenty-one days after the date of the repossession.

If Ahmad disputes the validity of the repossession by Easy Bank Bhd., he can apply to the court to be relieved against the repossession.2. The rights of Mrs. Tan under the law on hire-purchase in the event of defect in the sewing machine are as follows: Mrs. Tan can reject the machine if it fails to comply with the implied conditions as to its quality or fitness for purpose. She must give notice of rejection to Happy Housewives Sdn. Bhd. within a reasonable time. The reasonable time depends on the nature of the goods and the circumstances of the case. If Mrs.

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Answer:

30 + 24 = 54

Step-by-step explanation:

The chance of finding both turtle doves can be calculated by multiplying the probability of finding the first turtle dove by the conditional probability of finding the second turtle dove given that the first one was found.

Let's denote the event of finding the first turtle dove as A and the event of finding the second turtle dove as B. We are given that the probability of finding A is 0.8 and the conditional probability of finding B given A is 0.6.

The chance of finding both turtle doves can be calculated as follows:

P(A and B) = P(A) * P(B|A)

Substituting the given probabilities, we have:

P(A and B) = 0.8 * 0.6

Calculating the product, we find:

P(A and B) = 0.48

Therefore, the chance of finding both turtle doves is 0.48 or 48%.

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Answer:

3

Step-by-step explanation:

in slope-intercept form, the slope is the x's coefficient, which in this case is 3,

so, m=3

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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d. cylinder a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

A frozen juice can typically has a cylindrical shape, characterized by its circular base and curved sides. The cylindrical shape is suggested by the can's structure, with a constant radius and height throughout.

To further explain, a cylinder is a geometric solid that has two congruent circular bases connected by a curved surface. The frozen juice can perfectly fits this description, as it has a circular lid and bottom, and its sides are formed by the curved surface connecting the two circular bases. The cylinder is known for its uniform cross-section, constant radius, and constant height, which are also present in the frozen juice can.

a frozen juice can suggests the geometric solid of a cylinder due to its cylindrical shape with circular bases and a curved surface.

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To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

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Let y be the number of gallons she need to drive 418 miles

380 miles = 14 gallons

418 miles = x

cross-mutiply

380x =5852

Divide both-side by 380

x = 15.4 gallons

Answer:

5.75 miles

Step-by-step explanation:

It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

Answer:

y+3= -4x

Step-by-step explanation:

general equation is (y-y1) = m(x-x1)

m=rise/run=  -4/1 (is negative because looking from left to right on the graph it goes downward)

pick any point on the line to put in. the equation for example (0,-3)

y+3= -4x

Based on the absolute equation concept, Jesse made a mistake when rewritten the equation on step 2 (B).

When you solve an absolute equation, it means that the equation might have a positive or negative value as its results. However, despite the real value of the result, you only take its result as a positive value.

Hence, Jesse correct steps should be:

Expression: 4 + |2x + 5| = 8

Step 1: |2x + 5| = 4

Step 2: 2x + 5 = 4  or  2x + 5 = -4

Step 3: 2x = -1 or 2x = -9

Step 4: x = -1/2 or x = -9/2

Because Jesse made a mistake on the second step, her final answers are also incorrect.

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Complete Question:

Jesse solved the equation 4|2x+5| = 8 as shown

expression: 4+ |2x + 5| = 8

step 1 | 2x + 5| = 4

step2 2x + 5=4 or 2x-5=

step 3 2x=-1 or 2x=9

step 4 x= -1/2 or x=-9/2

which statement is true about jesse’s solution:

a. Jesse made a mistake in step 2. He should have rewritten the equation as 2x + 5 = -4 and 2x + 5 = 4

b. Jesse correctly solved the equation

c. Jesse made a mistake in step 4. His solution should be x = -2 or x = -18.

d. Jesse made a mistake in step 1. He should have rewritten the equation as 4 + (2x + 5) = 8 and 4 + (2x + 5) = -8

Answer: x+2y+6=0

Option 3

Explanation:

y = (-x-6)/2

2y = -x-6

x+2y+6=0

Must click thanks and mark brainliest

Answer:

Multiply 2/5 by 4

Step-by-step explanation:

When you have a math operatation like this, what you need to do is to:

Hope this helps, have a good day

Answer:

I can't solve it.

Step-by-step explanation:

Answer:

$51.41

Step-by-step explanation:

trust

answer is option C

AC =~= BD

Answer: AC = BD this is because these two are of the same and exact equal lengths

The spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

To determine how much further the spring will stretch when a 0.60 kg block is added to the 1.2 kg block, we need to consider Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.

Let's assume that the spring is initially stretched by a certain amount x when only the 1.2 kg block is attached. The force exerted by the spring is given by F = kx, where k is the spring constant.

When the 0.60 kg block is added, the total mass becomes 1.2 kg + 0.60 kg = 1.8 kg. The force exerted by the spring remains the same, but the total mass affects the acceleration of the system according to Newton's second law, F = ma.

Using F = ma, we can find the acceleration of the system: F = (1.8 kg)(9.8 m/s^2) = 17.64 N.

Since F = kx, we can rearrange the equation to find x: x = F/k.

Now, if we assume the spring constant k remains constant, the displacement x will increase by a factor of 1.8 kg/1.2 kg = 1.5.

Therefore, the spring will stretch 1.5 times further when the 0.60 kg block is added to the 1.2 kg block.

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Answer:

\(A_f=470ft\)

\(P_f=88ft\)

Step-by-step explanation:

From the question we are told that:

Width of Portrait \(w=10inches\)

length of Portrait \(l=13inches\)

Frame each \(l_W=21/4inch each\)

Generally the equation for area of portrait A is mathematically given by

\(A=w*l\\A=10*13\\A=130m^2\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P=2(w+l)\\P=2(10+13)\\P=46m\)

Generally the equation for area of portrait  with frame is mathematically given by

\(A=w_f*l_f\)

where

w_f=width of portrait with frame

\(w_f=2*21/4+w\\w_f=2*21/4+10\\w_f=20.5ft\)

l_f=Length of portrait with frame

\(l_f=2*21/4+l\\l_f=2*21/4+13\\l_f=23.5ft\)

Therefore Area of picture with frame

\(A_f=w_f*l_f\)

\(A_f=20.5*23.5\)

\(A_f=470ft\)

Generally the equation for Perimeter of portrait is mathematically given by

\(P_f=2(w_f+l_f)\\P_f=2(20.5+23.5)\\P_f=88ft\)