perform the indicated operation 5 ⅙ - 2 ⅔please explain how you do it to help me out bro

Answer:

AB=20, BC=40

Step-by-step explanation:

Let AB be x

Therefore, ATQ:

x+2x=60

x=60/3=20

AB=20

And BC =2(AB)

So BC=2*20=40

Answer:

Solution:

Hence, the number is 6.

\(BrainiacUser1357\)

Answer:

Answer number 1

......................

Answer:

Corresponding angles postulate

Answer:

definition of parrallel lines

Step-by-step explanation:

oh sorry. I understood it as parrallel

For the given equation:

m = 3b

The constant of proportionality is 3, so the correct option is A.

After a small search on the internet, I've found that this question asks for the constant of proportionality.

Remember that a proportional relation is of the form:

y = k*x

Where k is the constant of proportionality, and x and y are the variables.

Here the relation is:

m = 3*b

Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.

In this way, we can see that the correct option is A.

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The statement which median describe about Grace's data set is 2 is the middle number when the number of pets in the data set is arranged from least to greatest.

The median of the data is the middle value of the data set when it arrange in ascending or descending order.

Grace collected data from twenty of her friends about the number of pets they have.  The median number of pets is two.

Median=2

By the definition of median of data set, the median two tells that the middle value of the pet is 2 when arranged in high to low point.

Thus, the statement which median describe about Grace's data set is 2 is the middle number when the number of pets in data set is arranged from least to greatest.

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

to get the y-intercept, we can simply set x = 0 and solve for "y".

\(2x-4y=4\implies 2(\stackrel{x}{0})-4y=4\implies -4y=4\implies y=\cfrac{4}{-4}\implies y=-1 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~-1)~\hfill\)

Answer: 0, 1, -3

Step-by-step explanation:

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

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

f(x) = x(x-1)(x+3)

to find zeroes, plug into f(x) and solve for each value of x. doing this gives 0, 1, and -3

a) The inequality equation is x < -11

b) The inequality equation is x < 7

c) The ratio of dogs to cats is 7 : 5

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

a)

Substituting the values in the equation , we get

x + 8 < -3   be equation (1)

On simplifying the equation , we get

Subtracting 8 on both sides of the equation , we get

x < -11

Therefore , the inequality is x < -11

b)

The inequality representing the number line is x < 7

c)

Let the ratio be represented as A

The number of dogs = 7

The number of cats = 5

The ratio of dogs to cats = number of dogs / number of cats

Substituting the values in the equation , we get

The ratio of dogs to cats = 7 / 5

Therefore , the ratio is 7 : 5

Hence , the inequality relation is solved

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Answer:

56 ft

Step-by-step explanation:

Because the bedroom is similar to the bed we can write that

7 : 15 = 6 : x

x = 15*6/7 ≈ 12.86 ft

Perimeter of the bedroom is

15*2 + 12.86 *2 ≈ 56 ft

Answer:

To simulate one trial of this situation using a random number table, we can follow these steps:Step 1: Assign the digits 00-04 to represent packages not delivered on time and 05-99 to represent packages delivered on time.Step 2: Generate a two-digit random number from the random number table.Step 3: If the generated number falls between 00 and 04, count it as a package not delivered on time. If the generated number falls between 05 and 99, count it as a package delivered on time.Step 4: Repeat steps 2 and 3 until we get a package not delivered on time.The correct option is: Read two-digit numbers. Count the number of packages that are needed in order to find one that was not delivered on time.

Step-by-step explanation:

(a). The Tanakas paid a total of $523,906.40 for the townhome.

(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.

Simple interest is the type of interest that is calculated on the principal amount only.

It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.

(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.

Down payment = $41,000

Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40

Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40

(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.

Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000

Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40

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Answer:

7.72$ each

Step-by-step explanation:

Answer:

Each pair of socks cost $2.47.

Step-by-step explanation:

Jerseys=$6.75

$6.75x2=$13.50

Tax=$1.03

$13.50+$1.03=$14.53

$21.94-$14.53=$7.41

$7.41 divided by 3= $2.47

$2.47= Cost of each pair of socks

Answer:

6

Step-by-step explanation:

It is the bottom number, demoninator.

The point of intersection of the line \(y = x + 1\) and the circle with radius 4 and center \((0,1)\) is \((x, y) = (-1, 0)\) which is in the first quadrant.

The equation of a circle with center (h, k) and radius r is:

\((x - h)^2 + (y - k)^2 = r^2.\)

The equation of the line is given as \(y = x + 1\).

Given the center of the circle is (0,1) and the radius is 4, the equation of the circle is \((x-0)^2 + (y-1)^2 = 4^2\)

This can be simplified as \(x^2 + y^2 - 2y + 1 = 0\)

Now we can substitute \(y = x + 1\) in the circle equation:

\(x^2 + (x+1)^2 - 2(x+1) + 1 = 0\\x^2 + x^2 + 2x + 1 + 2x + 1 = 0\\2x^2 + 4x = -2\\x^2 + 2x = -1\\(x+1)^2 = 0\\x = -1\)

Now that we have the value of x, we can substitute it in the equation \(y = x + 1\)  to find the corresponding y value:

\(y = -1 + 1\\y = 0\)

So, the point of intersection of the line \(y = x + 1\) and the circle with radius 4 and center (0,1) is \((x, y) = (-1, 0)\) which is in the first quadrant.

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Notice that, since we are rolling two dices, we are dealing with 2 independent events

Let's suppose that the numbers on each dice are 1,2,3,4.

Then, if we roll two dices, there are 16 possible pairs (in principle)

(1,1)

(1,2)

...

(1,4)

(2,1)

...

(4,4)

Each of those pairs is equally probably than the others

Know, we need to identify the pairs that add up 3:

(1,2) and (2,1) are the only possibilities

Finally, we obtain the probability:

Which is none of the options.

Another possibility is that the dices are cubes:

So, the possible combinations that can be obtained by throwing 2 cubes are:

(1,1)...(1,6),(2,1),...(6,6) Which are 36 possible combinations

And there are only 2 combinations that add up to 3: (2,1),(1,2)

So, the probability of adding up 3 is:

Step-by-step explanation:

\(y^{2/5\\}\) where \(y\neq 0\)

\(y^{m/n\\}\)=\(\sqrt[n\\]{y^{m} }\)

\(\sqrt[5\\]{y^{2} }\)

Hope that helps :)

The required expression that is equivalent to the given expression is \(\sqrt[5]{y^2}\).

Given that,
Which expression is equivalent to y^ 2/5, if y ≠ 0 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
\(=y^{2/5}\)
Simplifying
.\(= \sqrt[5]{y^2}\)

Thus, the required an expression that is equivalent to the given expression is \(\sqrt[5]{y^2}\).

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Answer: A

Step-by-step explanation:

\((f+g)(x)=f(x)+g(x)=-3x-5+4x-2=\boxed{x-7}\)

It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.

The type of diagram that we need to use depends on the number of variables that we have.

That is the main reason, for example:

x > 2

Is graphed on a number line.

y > 3x + 4

is graphed on a coordinate plane.

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Solution

For this case we know that the price is 10$ per bottle with 8% of tax

We can find the tax using this:

With x= tax value, solving for x we got:

Then the total price is: 10+0.8 = 10.8

Then we can find the change like this:

20-10.8= 9.2

It would be 13.3 years till the mass of the sample reached 24 grams.

'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'

According to the given problem,

Let x be the number of years spent,

Initial mass = 40 grams

Final mass = 24 grams

Half-life = 18 years

⇒ 24 = 40 × \(0.5^{\frac{x}{18} }\)

⇒ 24/40 = 0.5^\(\frac{x}{18}\)

⇒ 3/5 = 0.5^\(\frac{x}{18}\)

Taking ln on both sides,

⇒ ln (3/5) = \(\frac{x}{18}\) ln 0.5

⇒ ln (3/5) / ln (0.5) = x/18

⇒ x = ( 18 × ln (3/5) ) / ln (0.5)

⇒ x = 13.3 years

Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.

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Answer:

25% of the students are girls.

Step-by-step explanation:

Key skills needed: Ratios, Percents, Fractions

1) There are 6 girls and 18 boys in the class --> This means that there are 6+18 or 24 people in the class total.

2) 6 of the 24 people are girls. So as a fraction --> 6/24 is the number of girls over the total number of people.

3) This can be simplified as 1/4 --> Divide 1 by 4 --> And this is 0.25

4) Multiply this by a 100 to get a percent form --> 25%

Hope you understood and have a nice day!! :D

Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260