what two numbers multiply to 1/4 and add to -1

Answer:

\(\large\boxed{\textsf{x = 7}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to find the value of x.}\)

\(\textsf{We should simply isolate the x so that it's only on one side.}\)

\(\large\underline{\textsf{How?}}\)

\(\textsf{Simply use the Distributive Property for the right side of the equation.}\)

\(\textsf{Simplify the equation to where x is by itself.}\)

\(\large\underline{\textsf{What is the Distributive Property?}}\)

\(\textsf{The Distributive Property is a Property that allow us to distribute expressions further.}\)

\(\textsf{Commonly, the form is a(b+c); Where b and c are multiplied by a.}\)

\(\large\underline{\textsf{Use the Distributive Property;}}\)

\(\mathtt{5x-2=3(x+4)}\)

\(\mathtt{5x-2=(3 \times x)+(3 \times 4)}\)

\(\mathtt{5x-2=3x+12}\)

\(\large\underline{\textsf{Add 2 to Both Sides of the Equation;}}\)

\(\mathtt{5x-2 \ \underline{+ \ 2}=3x+12 \ \underline{+ \ 2}}\)

\(\mathtt{5x=3x+14}\)

\(\large\underline{\textsf{Subtract 3x from Both Sides of the Equation;}}\)

\(\mathtt{5x-3x=3x-3x+14}\)

\(\mathtt{2x=14}\)

\(\large\underline{\textsf{Divide the Whole Equation by 2;}}\)

\(\mathtt{\frac{2x}{2} = \frac{14}{2} }\)

\(\large\boxed{\textsf{x = 7}}\)

Answer:

\( \sf \: x = 7\)

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 5x - 2 = 3(x + 4)

Then the value of x will be,

→ 5x - 2 = 3(x + 4)

→ 5x - 2 = 3(x) + 3(4)

→ 5x - 2 = 3x + 12

→ 5x - 3x = 12 + 2

→ 2x = 14

→ x = 14 ÷ 2

→ [ x = 7 ]

Hence, the value of x is 7.

New Mexico has a population density of about 12 people per square mile and an area of about 120,000 square miles. to find its actual population, you should multiply population density by the area.

Population is a group of individuals of the same kind in space and time. Population density is the amount or measure of the number of individuals in a population associated with a unit of space or place. The density rate of a population is the number of organisms or individuals added to the population per unit time.

Several methods can be used to estimate population density, including:

⚫ Total Calculation Method (census)

⚫ Lincoln & Peterson Index

⚫ Hanson estimation method

⚫ Kelker ratio

⚫ A simple method of estimating density

⚫Based on signs

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Answer: x-y

Step-by-step explanation:

If x>y, then \(x-y > 0\).

So, \(|x-y|=x-y\)

The solution of the expression  |x-y| if x>y without using absolute value notation is  (x - y).

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4

The absolute value of any number or expression is always positive.

An expression that is either less than or greater than is called as inequality.

Given expression,  |x-y| and the given inequality is x>y.

When x is greater than y, the difference between x and y is already positive.

So, the expression will be (x-y).

So, if x > y, then |x - y| = (x - y).

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Examples of each type of number are shown:

(A) A real number between √13 and √14:

(B) An irrational number between 5 and 7:

Therefore, examples are:

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Answer:

143

Step-by-step explanation:

divide 286 in half because 50/100 = 1/2

Hey there!

50% of 286

= 50% * 286

= 50/100 * 286/1

= 50 ÷ 50 / 100 ÷ 50 * 286/1

= 1/2 * 286/1

= 1 * 286 / 2 * 1

= 286 / 2

= 143

Therefore, your answer should be:

143

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The critical value for a correlational study consisting of 18 individuals (n = 18), assuming a nondirectional study with an alpha level of 0.05, would be 0.444.

To determine the critical value for a non-directional correlational study with 18 individuals (n = 18) and an alpha level of 0.05, you can follow these steps:

1. Determine the degrees of freedom: Subtract 2 from the number of individuals (n - 2). In this case, df = 18 - 2 = 16.

2. Look up the critical value for a two-tailed test with an alpha level of 0.05 and 16 degrees of freedom in a table of Pearson correlation coefficients.

Based on the given answer choices, the critical value for this correlational study with 18 individuals and an alpha level of 0.05 is: 0.444

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To grow to $12300 at a 7% interest rate compounded quarterly, the person must leave the money in the bank for almost 9.8 years.

Using the compound interest formula, we can calculate how long it will take for a $3500 investment to grow to $12300 at a 7% annual interest rate:

A = A =\(P(1 + r/n)^(nt)\)

Plugging in the given values, we get:

\(t = (1/4) * log(12300/3500) / log(1 + 0.07/4)\)

Where A equals the final sum (12300 in this instance).

P is equal to the main ($3,500 in this case).

The annual interest rate, or r, is 7% (or 0.07 in decimal form).

n is equal to the number of times a year (quarterly, or 4) that interest is compounded.

t is the number of years.

By rearranging the equation to account for t, we get at:

By entering the specified values, we obtain \(t = (1/n) * log(A/P) / log(1 + r/n)\)

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Answer:

1. \(\overline {TU}\)

2. Given

3. \(\overline {RT}\)  

4. Side-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The two column proof is presented as follows;

Statement    \({}\)                Reason

1.  \(\overline {RS}\) ≅  \(\overline {TU}\)    \({}\)            Given

2. \(\overline {ST}\) ≅  \(\overline {UR}\)     \({}\)           Given

3. \(\overline {RT}\) ≅  \(\overline {RT}\)     \({}\)           Reflexive property

4. ΔRST ≅ ΔTUR   \({}\)      SSS rule of congruency\({}\)

The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.    

Answer:

obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20

Step-by-step explanation

Answer:

divide 14 by 20

Step-by-step explanation:

I saw the other answer.

To the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.

To calculate the future value of an investment with compound interest, we can use the formula:

FV = P(1 + r/n)^(nt)

Where:

FV = Future value

P = Principal amount (initial investment)

r = Annual interest rate (as a decimal)

n = Number of times interest is compounded per year

t = Number of years

In this case:

P = $60,000

r = 3.4% = 0.034 (as a decimal)

n = 365 (daily compounding)

t = 11 years

Plugging in these values, we can calculate the future value (FV):

FV = $60,000 * (1 + 0.034/365)^(365*11)

Calculating this expression, we find:

FV ≈ $60,000 * (1.000093835)^40015 ≈ $81,329.20

Therefore, to the nearest ten dollars, there would be approximately $81,329 in the account after 11 years.

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The sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

We have to find the sample space for rolling a fair eight-sided die.

The sample space for rolling a fair eight-sided die consists of all the possible outcomes of a single roll of the die.

As the die has eight sides numbered from 1 to 8, the sample space can be represented as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

Therefore, the sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

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Answer: 100 meters

Step-by-step explanation:

10 meters = 1,000 years old

50 meters = 5,000 years old

and so 100 meters =  10,000 years old

hope this helps you!

Answer:

(16, 0) should be right.

Step-by-step explanation:

Well, I used to do the math, but after using Acellus a while, I found Symbolab.

It's suuuper handy with Algebra. I highly recommend.

How I found this intercept was enter:

intercept -2x+8y=-32

and bam it lists you all intercepts!

The cost of one small box is $10 and the cost of one large box of grapefruit is equal to $16.

This type of problem can be solved using linear equations.

If we consider x to be the cost of one small box and y to be the cost of one large box of fruit, the linear equations can be given as;

12x + 5y = 200

4x + 10y = 200

Multiplying the second equation by 3

12x + 5y = 200

12x + 30y = 600

Now by subtracting both equations we get;

-25y = -400

y = -400 / -25

y = 16

Now adding this value of y = 16 in the first equation;

12x + 5y = 200

12x + 5(16) = 200

12x + 80 = 200

12x = 200 - 80

12x = 120

x = 120 / 12

x = 10

Therefore, $10 is the cost of one small box and $16 is the cost of one large box of grapefruit.

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A student is not correct when he stated that a triangle can be formed with side lengths 3 in, 5 in, and 9 in because 3 + 5 < 9.

A triangle is a polygon with three sides and three vertices.

To know if a set of numbers is a valid measure of the sides of a triangle, it must follow the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = 3, b = 5, and c = 9

a + b > c : 3 + 5 > 9     8 > 9     False

a + c > b : 3 + 9 > 5     12 > 5     True

b + c > a : 5 + 9 > 3     14 > 3     True

If at least one of these statements does not hold true, the measurements can't be the sides of a triangle.

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Answer:

Step-by-step explanation:

Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.

The distance after x seconds is:

Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.

The distance after x seconds is:

After 15 seconds the distance from the start line is:

As we see Sam is further from the start line than Alice

Answer:

40 : 200

Step-by-step explanation:

1/6 x 240 = 40

5/6 x 240 = 200

To find different possible pairs of dimensions for the floor of the garage, we can use the formula for volume of a rectangular prism:

Volume = length x width x height

Since we know the height of the garage is 4 meters and the volume is 96 cubic meters, we can rearrange the formula to solve for the length and width:

length x width = Volume / height

length x width = 96 / 4

length x width = 24

Therefore, the length and width of the garage floor must multiply to equal 24 square meters. Here are two possible pairs of dimensions for the floor:

Length = 6 meters, Width = 4 meters

If we choose the length to be 6 meters, then the width must be 4 meters to satisfy the formula length x width = 24. This would result in a floor with an area of 24 square meters.

Length = 8 meters, Width = 3 meters

Alternatively, if we choose the length to be 8 meters, then the width must be 3 meters to satisfy the same formula length x width = 24. This would also result in a floor with an area of 24 square meters.

In both cases, we have found pairs of dimensions for the floor that satisfy the given conditions.

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Answer:

1, 4, 5

Step-by-step explanation:

This is the equation:

\( \frac{h}{30} = quotient\)

So because 1 and 4 are right because they both describe the quotient being of h and 30. 5 is right because fractions are really just the numerators divided by denominators (h÷30).

The phrases can be represented by the expression 4. the quotient of a number and thirty. 5. a number divided by thirty

You can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

\(\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}\)

The given expression is

\(\dfrac{h}{30}\) gives quotient

Therefore,

The phrases can be represented by the expression

4. the quotient of a number and thirty

5. a number divided by thirty

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The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer: D it makes the most since as both numerators are equal to each other and the denominators will have to be the same for them to be equal.

Step-by-step explanation:

Answer:

\(\frac{6}{5}\)

Step-by-step explanation:

1.Turn the 9 into a fraction

\(\frac{2}{15} *\frac{9}{1}\)

2.factor the bigger numbers.

\(\frac{2}{3*5} *\frac{3*3}{1}\)

3.Cancel out the common factor(3)

\(\frac{2}{5} * \frac{3}{1}\)

4.multiply across

\(\frac{2}{5} *\frac{3}{1} =\frac{6}{5}\)

The value of probabilities are,

P (1, 1) = 1 / 36 = 0.027

P (both odd) = 0.166

P (even, odd) = 0.25

P (2 anywhere) = 0.3055

P (sum 8) = 0.1389

P (sum 1) = 0

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

Two dice are rolled at the same time.

Hence, There are total number of possibilities = 36

Thus, The value of P (1, 1) is,

P (1, 1) = 1 / 36

Since, There are 6 possibilities when both dice have rolled to get odd.

Hence, The value of P (both odd) is,

P (both odd) = 6 / 36

                   = 1/ 6

Since, There are 9 possibilities to get first dice even and second odd.

Hence, The value of P (even, odd) is,

P (even, odd) = 9/36

                     = 1/4

Since, There are 11 possibilities when 2 is in anywhere.

Hence, The value of P (2 anywhere) is,

P (2 anywhere) = 11/36

Since, There are 5 possibilities to get sum 8.

Hence, Value of P (sum 8) is,

P (sum 8) = 5/36

Since, There are no possibilities to get sum 1.

Hence, P (sum 1) = 0

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The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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Answer:

5x+8x+17-9+2y

13x+8+2y

Answer:

13x+8+2y

Step-by-step explanation:

5x+8x=13x

17–9=8

2y=2y

Answer:

Rectangle

Step-by-step explanation:

First, we gotta graph it!

It's down below.

Now, what shape is that?

It's a rectangle!

Answer:

Y=x-8

Step-by-step explanation: