six less than four times a number is 26. What is the number?

To factor 1/5 out of the algebraic expression 1/5x + 29/5, we remove the common term 1/5. This leaves us with 1/5 * (x + 29), not altering the value of the original expression.

To factor 1/5 out of 1/5x+29/5, we first need to understand what factoring entails. Factoring is basically expressing an algebraic equation as a product of its factors.

Step 1: Look at the expression '1/5x + 29/5'. We can see that '1/5' is common in both terms.

Step 2: Factor out the common term, which in this case is '1/5'.

So the expression '1/5x + 29/5' factored out would be '1/5 * (x + 29)'. Throughout this process, we have not changed the value of the original expression, only rewritten it in a different form.

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The degree of the product of two polynomials p(x) and q(x) is equal to the sum of the degrees of p(x) and q(x).

The degree of the product of two polynomials p(x) and q(x) is related to the degrees of p(x) and q(x) by the following rule:

The degree of the product is equal to the sum of the degrees of the two polynomials.

For example, if p(x) is a polynomial of degree m and q(x) is a polynomial of degree n, then the product p(x)q(x) will be a polynomial of degree m+n.

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

He goes to the gym 0, 2, or 3 days per week.  

Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.

So, p+q+r = 1

E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)

E(X) = 0*p + 2*q + 3*r = 2q + 3r

Given is the value of P(0 days) = p = 0.1

Given is the expected value of number of days is E(X) = 2.05

Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05

Or, q + r = 0.9 and 2q + 3r = 2.05

Solving the two equations :-

(2q+3r)-2*(q+r) = 2.05-2(0.9)

r = 0.25

q = 0.65

Therefore, P(2 days) = 0.65 and P(3 days) = 0.25

Answer:

The correct answer is C. Borrowing $10,000 more in students loans.

Option C - Borrowing $10,000 more in student loans is the correct Alternative.

We have list of assets and liabilities.

We have to determine which of given modification would  result in negative net worth.

Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.

According to the question -

Assets = House + Car + Stocks + Savings.

Total Assets = $90,000 + $11,000 + $2,500 +  $3,000 = $106500

Liabilities = Mortgage + Car loan + Student loan.

Total Liabilities = $78,000 +  $5,000 + $13,700 = $96700

Now if you borrow $10000 more in student loan then -

Total Liabilities = $78,000 +  $5,000 + $13,700 + $10000 = $96700 + $10000 = 1,06,700 > Assets.

Hence, Option C is the correct Alternative.

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The above me is clearly wrong. However, the reason I'm not going to post an actual answer is because this post is over 2 years old and there is a good chance the they aren't even in school anymore.

Answer:

B

Step-by-step explanation:

To find the length of the model car, set up a proportion and cross multiply.

To find the length of the model car, we need to use the scale factor given. The scale factor is 1.5 inches:3 feet. This means that for every 1.5 inches in the model, there are 3 feet in the actual car.

Given that the actual car is 13.75 feet long, we can set up a proportion:

1.5 inches / 3 feet = X inches / 13.75 feet

Cross multiplying, we get:

1.5 inches * 13.75 feet = 3 feet * X inches

Simplifying, we find that the length of the model car is approximately 6.88 inches.

The required Kristin bought 2 fancy shirts and 5 plain shirts.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let's assume that Kristin bought x fancy shirts and y plain shirts. We know that the total number of shirts is 7, so:

x + y = 7

We also know that the total cost of the shirts is $131, that fancy shirts cost $28 and plain shirts cost $15. So we can write another equation:

28x + 15y = 131

Now we have two equations with two variables. We can use substitution or elimination to solve for x and y. Let's use substitution:

x + y = 7 -> x = 7 - y (subtract y from both sides)

28x + 15y = 131 -> 28(7-y) + 15y = 131 (substitute x with 7-y)

Expanding the brackets, we get:

196 - 28y + 15y = 131

-13y = -65

y = 5

So Kristin bought 5 plain shirts. We can substitute this value into either equation to find x:

x + y = 7 -> x + 5 = 7 -> x = 2

So Kristin bought 2 fancy shirts and 5 plain shirts.

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Answer:

3(x+6)

Step-by-step explanation:

Answer:

C

TOOK SAME TEST ON EDGE 2021

The possible combinations of reviews and new written pieces can be represented by the inequality 60r + 120n ≥ 600.

To represent the possible combinations of reviews and new written pieces, we can use the variables r for reviews and n for new pieces.

The total earnings can be calculated by multiplying the number of reviews by $60 and the number of new pieces by $120, and this must be greater than or equal to $600.

Therefore, the inequality that represents the possible combinations is 60r + 120n ≥ 600.

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Answer:

Step-by-step explanation:

Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.

Given perimeter of the rectangle

[tex] 2(l+w)=34 \; l+w=17[/tex]

Area of the rectangle is

[tex] lw=52 [/tex]

Also length is 5 more than twice its width,

[tex] l=2w+5 [/tex]

From the above equations

[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]

Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]

The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].

it would cost an employee $140 to purchase the coat at the sale.

Let's break down the problem step by step:

1. The store charges $280 for the coat, which is 40% more than the amount it cost the store to buy. This means that the store's cost (let's call it ( C )) can be found by first determining what 100% of the cost is (since $280 is 140% of the cost, as 100% + 40% = 140%). We can set up the equation:

[tex]\[ 140\% \text{ of } C = $280 \]\[ 1.4C = $280 \]\[ C = \frac{$280}{1.4} \]\[ C = $200 \][/tex]

So, the store's cost for the coat is $200.

2. At the end-of-season sale, store employees can purchase any remaining coats at 30% off the store’s cost. This means they pay 70% of the store's cost. We can calculate this as:

[tex]\[ 70\% \text{ of } $200 = 0.7 \times $200 = $140 \][/tex]

Therefore, it would cost an employee $140 to purchase the coat at the sale.