What is the slope of y = -5 + 4r?

Answer: 13/12 times 12/4 is the answer

Answer:

$15,720

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify variables.

P = $52,400

r = 6%

t = 5

Step 2: Find Current Investment Value

Step 3: Find Total Return

Answer:

6 1/20 or as a decimal 6.05

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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The commutative property of addition, which asserts that the sum is unaffected by the order of the addends, is the property that the student employed in the first step.

In this instance, the student changed the order of the terms on the right side of the equation so that the constant terms (2 and 7) were paired off and the variable term (-5a) was put last. This let the learner combine like terms more easily, which is a step that is required to solve the equation.

Because it is a foundational characteristic of mathematics, the commutative property of addition is valid. It is a rule of mathematics that any two real numbers satisfy.

Therefore, rearranging the terms in an equation using the commutative property of addition does not change the equality of the equation.

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Answer:

The temperature was -12 degrees Fahrenheit.

Answer:

The Temp was negative 12 degrees

Step-by-step explanation:

you take the first temperature and subtract the amount the temperature fell from then

20-32

and you get

-12

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

It will take him 2 and a half weeks to get 80 miles. Approximatly 19 or 18 days.

Step-by-step explanation:

He runs to times a week.

2/7 = 16

80/16

5.

So he'll have to run 5 times.

2 times a week. 2 weeks equals 4 runs. Then 2 and a half weeks equals 5.

After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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Answer:

710 hairbands

Step-by-step explanation:

Total hairbands = (5*dollars spent) + 90

Max hairbands = (5 * 124) + 90

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

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Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

1, 3

Step-by-step explanation:

1. x > x

Technically, one number cannot be more than itself. It can only equal to itself.

3. –4 + x > –2 + x

If you minus x from both sides of the equation, it becomes:

-4 > -2

This is not true no matter what x is, thus it has no solution.

4. x – 2 < x + 3

If you add 2 on both sides, it becomes:

x < x + 5

This inequality is possible and has infinitely many solutions.

Note: I will update this answer and address Question 2 once the inequality sign is given :)

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year by using z-score. The correct answer is (0.1859, 0.2133)

The point estimate for the proportion of American adults who earned money by selling something online in the previous year is:

p-hat = 914/4579 = 0.1995

To construct a 98% confidence interval for the population proportion, we can use the formula:

p-hat ± z*(sqrt(p-hat*(1-p-hat)/n))

where z is the z-score associated with the desired confidence level (98% corresponds to a z-score of 2.33), and n is the sample size. Plugging in the values, we get:

0.1995 ± 2.33*(sqrt(0.1995*(1-0.1995)/4579))

Simplifying this expression, we get:

(0.1859, 0.2133)

Therefore, the correct answer is (0.1859, 0.2133). This means we are 98% confident that the true proportion of American adults who earned money by selling something online in the previous year lies between 0.1859 and 0.2133.

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The factorization of n³ + (27 / 125) will give (n + 3/5)(n² - 3x/5 + 9 / 25)

This is simply the resolution of an integer or polynomial into factors such that when multiplied together they will result in original or initial the integer or polynomial. In the factorisation method, we reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable or an algebraic expression itself.

In the given problem, we have an expression

n³ + (27 / 125)

This can be factorized to give

(n + 3/5)(n² - 3x/5 + 9 / 25)

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Answer:

1 - NO = 0.25

2 - NO = 5\4

3 - YES

4 - YES

Answer:

0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08

Step-by-step explanation:

Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8

Step-by-step explanation:

First find the greatest

0.09, 0.89,0.81, 0.08, 0,79

Then the least

0.9 .0.8

Now put it all together  

0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8

9514 1404 393

Answer:

  65

Step-by-step explanation:

The six numbers are sequential multiples of 10, so the mean is halfway between the middle two. Halfway between 60 and 70 is 65.

The mean of the 6 numbers is 65.

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

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Answer:

After the accident, you file a claim with your insurance company and pay the $1,000 deductible. The insurance company covers the remaining $2,000 in damages.

Since the premium is $120 per month, you would pay $1,440 per year for car insurance.

Step-by-step explanation:

The insurance case describes a scenario where a monthly premium of $120 is paid for car insurance with a $1000 deductible. In the case of an accident causing $3000 damages, the insured would pay the $1000 deductible and the insurance covers the remaining $2000.

To understand this scenario, we should first clarify the terms involved. A premium is a monthly payment you make to keep your insurance active. A deductible is the amount you need to pay out-of-pocket before your insurance begins to cover costs.

In this specific case, you are paying a premium of $120 per month for car insurance, and the deductible is $1,000. So if an accident causes $3,000 in damages, you would first have to pay the $1,000 deductible.

Here is a simple step-by-step breakdown of the expenses: First step: Pay the deductible of $1,000. This leaves $2,000 of damages. Second step: The insurance will then pay the remaining $2,000. So, while the total damages were $3,000, you only paid your deductible. The insurance handled the rest.

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Answer:

n = -3

Step-by-step explanation:

slope = 10 = (7 - n) / (9 - 8) = (7 - n) / 1

7 - n = 10

-n = 10 - 7 = 3

n = 3/-1 = -3

Answer:

225

Step-by-step explanation:

Easy, just divide! 1350 ÷ 6 = 225

sorry if this is wrong in my first year of middle

Answer:

Step-by-step explanation:

7/5 + 3/4 x 2/5 - 3/2

 7/5 + 3/10 - 3/2

    17/10 - 3/2

         1/5

Step-by-step explanation:

Here, the given polynomial are,

=7/5+3/4×2/5-3/2

multiplying 3/4 and 2/5

= 7/5+6/20-3/2

taking LCM and adding them.

=(7×4+6×1-3×10)/20

by simplifying it we get, the answer is 1/5.

Hope it helps..

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

$7500 is the  amount invested in the 5% bonds

Let's call the principals (pre-profit amounts) of the 5% profit bonds F and the 12% profit bonds T.

The profit from the 5% bonds would thus be 0.05 * F, and the profit from the 12% bonds 0.12 * T

Then we have two equations, for two unknowns:

0.12 * T = 0.05 * F + 885  

T + F = 18000 (as the total amount invested into both those bonds is 18000)

Then T = (0.05 * F + 885) / 0.12 = 5/12 * F + 7375

Subtracting (T+F) from both sides, except on the other side (where the non-variable number is), we're going to subtract (T+F) by subtracting 18000. This will just give us a single equation in terms of one variable (F)

T - (T+F) = (5/12)*F + 7375 - 18000

-F = (5/12)*F - 10625

Let's solve for F by adding F to both sides of the last equation, getting us:

-F + F = 0 = 17/12 * F - 10625

This means 17/12 * F = 10625

F = 12/17 * 10625 = $7500

Hence the amount invested in the 5% bonds (before profit) is $7500

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Answer:

x = 4/7 and y = -4/2

Step-by-step explanation:

Hope this helps!