how do I solve this?
p-5/p+1 = 2/3

Answer:

0

Step-by-step explanation:

-7+7=0

14+(-14)=0

-2/3+2/3=0

125+(-125)=0

Answer:

108

Step-by-step explanation:

450*0.24

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:

Answer:

991 is the correct answer

Answer: The Third one is correct

Step-by-step explanation:

Answer:

The number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.

Step-by-step explanation:

Let the no. of runners fished at first place be x

Let the no. of runners fished at second place be y

Let the no. of runners fished at third place be z

We are given that Lakeland High School had 30 individual-  event placers

So, x+y+z=30 -----1

First-place finishers score 7 points

So, Total score of x runners = 7x

Second-place finishers score 4 points

So, total score of y runners = 4y

Third-place finishers score  1 point.

So, total score of z runners = z

We are given that 30 individual-  event placers score a total of 111 points

So, 7x+4y+z=111 ----2

We are also given that  The number of first- and second-place finishers was twice the  number of third-place finishers.

x+y=2z ---3

Substitute the value from 3 in 1

x+y+z=30

2z+z=30

z=10

Substitute the value of z in 1 and 2

x+y=20 ----4 and 7x+4y=101 ---5

Substitute the value of x from 4 in 5

7(20-y)+4y=101

140-7y+4y=101

140-3y=101

39=3y

`13=y

Substitute the value of y and z in 1

x+13+10=30    

x=7

Hence the number of runners that finished in first place , second place and third place are 7 , 13 and 10 respectively.

The completely simplified expression is( 7n 14)/( 6η).    

To simplify the expression( n 2)/( 6η/ 7),

we can start by dividing the numerator by the denominator. This is original to multiplying the numerator by the complementary of the denominator  n 2) *( 7/ 6η)

Next, we can distribute the( 7/ 6η) to both terms in the numerator ( n)/( 6η) 7( 2)/( 6η)

This simplifies to  7n/( 6η) 14/( 6η)

Now, since the two terms in the numerator have a common denominator, we can combine them ( 7n 14)/( 6η).

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If John is running a study on whether a particular SAT training class is effective, the students take the SAT before and after taking the class and the 95% confidence interval for the difference in scores (after - before) is [5, 15], then the statement which is NOT true is 'The training class caused a big improvement in the student's SAT scores.' The answer is option d.

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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Answer:

The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:

Tables      People

1                4

2               6

3               8

4               10

5               12

Step-by-step explanation:

Khan Academy

Answer:

x = 6

Step-by-step explanation:

8(2x – 14) + 13 = 4x – 27

Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, distribute 8.

8(2x – 14)

\(8*2x=16\)

\(8*-14=-112\)

So now our equation is:

16x – 112 + 13 = 4x – 27

Now we can add. We will add 13 to -112.

\(-112 +13=-99\)

Now our equation looks like this:

16x – 99 = 4x – 27

Now we have to try to get the variable (x) on one side of the equation.

To do this, we will subtract 4x from both sides of the equation.

16x – 99 = 4x – 27

-4x            -4x

12x - 99 = -27

Now we can add 99 to -27.

\(99 + (-27) = 72\)

Now we have

12x = 72

Our last step is to divide both sides by 12:

\(\frac{12x}{12}= \frac{72}{12}\)

We get x = 6.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

A.

8(2x – 14) + 13 = 4x – 27

Step 1: Distribute 8, meaning multiply 2x and -4 using 8

8(2x – 14)

8(2x) + 8(-14)

16x - 112

New equation:

16x - 112 + 13 = 4x – 27

Step 2: Add any numbers or like terms:

16x - 112 + 13 = 4x – 27

16x - 109 = 4x - 27

New equation:

16x - 99 = 4x - 27

Step 3: Isolate the variable on one side

16x - 99 = 4x - 27

-4x           -4x

12x - 99 = - 27

     + 99   + 99

12x = 72

Step 4: Divide both sides by 12

12x = 72

/12    /12

x = 6

B.

Check your answer:

8(2x – 14) + 13 = 4x – 27

8(2(6) - 14) + 13 = 4(6) - 27

8(12 - 14) + 13 = 4(6) - 27

8(-2) + 13 = 24 - 27

-16 + 13 = 24 - 27

-3 = -3

This statement is correct

Therefore, our answer (x = 6) is correct.

Hope this helps!

The school's claim group of answer options has a p-value for a test of 0.1539.

The notation and data are provided.

The sample is chosen at random: n = 130

The estimated proportion of students who intend to pursue general practice is: \(\bar p = 32\% = \frac{28}{10} = 0.32\)

The value to be tested is: p₀ = 28% = 28/100 = 0.28

The statistic (variable of interest): z

The p-value (variable of interest): \(p_{v}\)

Concepts and formulas used  

In order to verify the assertion that the true proportion is greater than 0.28, we must test a hypothesis:

p ≤ 0.28 indicates a null hypothesis.

p > 0.28 is an alternative hypothesis.

The z statistic is required when doing a proportion test because it is provided by:

\(z= \frac{\bar p \;-\; p_{0}}{\sqrt{\frac{p_{0}\; (1\; - \; p_{0} ) }{n} } } \;\;\;\;\;\; ................ep.\; 1\)

Determine the statistic.

Since we have all the necessary information, we can change equation 1 to read as follows:

\(z= \frac{0.32 \;-\; 0.28}{\sqrt{\frac{0.28\; (1\; - \; 0.28) }{130} } } \;\;\;\;\;\; \\\\z = \frac{0.04}{\sqrt{\frac{0.28\; * \; 0.72 }{130} } } \\\\z = \frac{0.04}{\sqrt{\frac{0.2016 }{130} } }\\\\z = 1.01575 \;or\; 1.02\)

Statistical decision  

The p-value for this test would then be calculated as the next step.

The p-value for this right-tailed test would be:

\(p_{v} = P \;(z > 1.02) = 0.1539\)

Since we are determining whether the mean is greater than a value, with z = 1.01575, the p-value is obtained using a z-distribution calculator with a right-tailed test, and it is 0.1539.

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Regression analysis is a statistical method that is used to model the relationship between a dependent variable (the response) and one or more independent variables (the predictors).

In the case of car sales data, a regression model can be developed to predict the selling price of a car based on horsepower and manufacture year, incorporating an interaction term.

The predicted price for a car manufactured in either 2002 or 2003 with a horsepower of 69 can be determined by plugging the values into the regression model.

The interaction term in the model allows for the effect of the interaction between horsepower and manufacture year on the selling price to be captured.

The prediction can then be compared to the overall average price in each year to determine if the prediction deviates from the average.

If the prediction is higher than the average, it could indicate that the car is in high demand or has other desirable features that make it more valuable.

On the other hand, if the prediction is lower than the average, it could indicate that the car is less desirable due to factors such as age or low horsepower.

The comparison between the prediction and the overall average price in each year can provide valuable information about the car's value and its potential to sell at a higher price.

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Answer:

13

Step-by-step explanation:

1+1=2

1+2=3

2+3=5

3+5=8

8+blank=21

21-8=13

Answer:

13

1+1=2+3=5+8=13+21=...

Answer:

The value of it is

Step-by-step explanation:

Value og x =-1

From the information, the equation that represents the sentence will be 3(n - 8).

Let the number be represented as n.

Since the expression is to find the equation that represents the word phrase three times the difference of a number and eight.

This will be:

= 3(n - 8)

Therefore, the correct option is 3(n - 8).

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Answer:

THE ANSWER IS DOWN BELOW :)

Answer:

The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

The form of the slope-intercept form of the linear equation is

y = m x + b, where

The rule of the slope is \(m=\frac{y2-y1}{x2-x1}\) , where

Let us choose two points on the line to form the equation

∵ Points (6, 0) and (0, 6) lie on the line

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ \(m=\frac{6-0}{0-6}=\frac{6}{-6}=-1\)

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the y-intercept

∵ The y-intercept is the value of y at x = 0

∵ At x = 0, y = 6

∴ b = 6

→ Substitute the value of b in the equation

∵ y = -x + 6

∴ The equation of the line in slope-intercept form is y = -x + 6

Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

Answer:

3

Step-by-step explanation:

g(x) = f(x) + k, is true for all values of x.

At x = 0, f(x) = 2

At x = 0, g(x) = 5

Therefore, at x = 0

=> g(x) = f(x) + k

=> 5 = 2 + k

=> 3 = k

Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Using combinations, we know that 4 different types of items will be selected.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We can choose the components of combos in any order.

Permutations and combinations can be mixed up.

Combination formula: \(n C r=\frac{n !}{(n-r) ! r !}\)

So, this formula, commonly known as the NCR formula, determines the number of combinations that may be made with r items out of the n available options.

We, therefore, have 4 objects, and a person chooses 3 at random.

\(\begin{aligned}& n C r=(n, r)=(4,3) \\& =\frac{4 !}{3 !(4-3) !} \\& =4 ! / 3 ! \\& =4\end{aligned}\)

Therefore, using combinations, we know that 4 different types of items will be selected.

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a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.

a. The information given shows that ΔECR and ΔACR have:

three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

b. The information given shows that ΔTSE and ΔNOH have:

three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

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The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

Let's assume the two numbers as x and y, where x > y.

Given that their difference is 56, we can write the equation:

x - y = 56 --------(1)

To find the product, we need to minimize the function P = xy.

We can rewrite the equation (1) as x = y + 56 and substitute it into the product equation:

P = (y + 56)y = y^2 + 56y

To find the minimum value of P, we can differentiate it with respect to y and set it equal to zero:

dP/dy = 2y + 56 = 0

Solving for y, we get:

2y = -56

y = -28

Substituting the value of y back into equation (1), we find:

x - (-28) = 56

x + 28 = 56

x = 56 - 28

x = 28

So, the two numbers are 28 and -28, and their product is (-28)(28) = -784.

Therefore, The two numbers whose difference is 56 and whose product is a minimum are 28 and -28, with a product of -784.

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\(\boxed{\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}}\)

Explanation:

Given expression: (ab)x^2 + (b^2 - ac)x + (-bc) = 0

Here given:

Apply quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \ ax^2 + bx + c = 0\)

Insert values:

\(\sf x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}\)

\(\sf x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}\)

\(\sf x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}\)

\(\sf x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}\)

\(\sf x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}\)

Apply quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \)

\(\\ \sf\Rrightarrow x = \dfrac{-(b^2 - ac) \pm \sqrt{(b^2 -ac)^2-4(ab)(-bc)} }{2(ab)}\)

\(\\ \sf\Rrightarrow x= \dfrac{-b^2 + ac \pm \sqrt{\left(b^2-ac\right)^2+4abbc} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{b^4+2b^2ac+a^2c^2} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm \sqrt{\left(b^2+ac\right)^2} }{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac \pm( b^2+ac )}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{-b^2 + ac +( b^2+ac )}{2ab} \quad or \quad \dfrac{-b^2 + ac -( b^2+ac )}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{2ac}{2ab} \quad or \quad \dfrac{-2b^2}{2ab}\)

\(\\ \sf\Rrightarrow x = \dfrac{c}{b} \quad or \quad \dfrac{-b}{a}\)

Answer:

x = 105

Step-by-step explanation:

the sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

The value of x = 105

The sum of all interior angles of any four-sided figure has 360 degrees

∡F and ∡H are equal

Add all four expressions and set them equal to 360

x + (x + 5) +( x + 5) + (140 - x) = 360

combine like terms

2x + 150 = 360

2x = 210

x = 105

Interior angles are those that lie in the interior of a polygon. For instance, a triangle has three interior angles. The other way to outline indoor angles is "angles enclosed in the interior place of two parallel traces while intersected by means of a transversal are known as interior angles".

The exterior is described by means of Merriam-Webster as "being on an outside surface: located at the outside" and "appropriate for use on door surfaces."  Defines outdoors as "outer; being on the outer side," and "intended or suitable for outside use."

The system for calculating the scale of an interior perspective is the interior perspective of a polygon = sum of interior angles ÷ wide variety of aspects. The sum of outside angles of a polygon is 360°. The formulation for calculating the size of an outdoors perspective is the outside attitude of a polygon = 360 ÷ wide variety of aspects.

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Answer:

6

Step-by-step explanation:

\(216^{\frac{1}{3} }\) is the same as \(\sqrt[3]{216}\)

so the answer is 6