If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?
18

[tex]\text{Hello there!}\\\\\text{Lets see if the rate of change for the two functions are the same}\\\\\text{We know that the rate of change for the first function is -2/3}\\\text{Lets find the rate of change for the second function}\\\\\text{We will use}\,\,\frac{y2-y1}{x2-x1}\,\,\text{to find the rate of change}\\\\\text{Plug in the coordinates:}\\\\\frac{3-5}{3-0}\\\\\text{Solve:}\\\\\frac{3-5}{3-0}\\\\\frac{-2}{3} = \text{rate of change for function 2}\\[/tex]

[tex]\text{The rate of change is the same for both functions}\\\\\text{This means that:}\\\\\large\boxed{\text{Answer: C. Function 1 and Function 2 have the same rate of change.}}[/tex]

Answer:

d

Step-by-step explanation:

the expression cant be factored because there is no number that multiplies to get 16 but adds up to 9. ex; 8*2 is 16 but add to 10, 16 and 1 equals 17, and 4*4 is 16 but adds up to 8.

Answer:

your answer is d

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

There are

So,

Hence, 3 + 5 + 4 + 1 + 1 + 2 + 2 = 18 played one or more of the three sports

Answer: There are 18 players who played one or more of the three sports.

Step-by-step explanation:

Since we have given that

Number of students played basketball = 7

Number of students played volleyball = 9

Number of students played soccer = 10

Number of students played basketball and volleyball = 1

Number of students played volleyball and soccer = 2

Number of students played volleyball, basketball and soccer = 2

Number of students who played basketball only is given by

[tex]7-1-1-2=3[/tex]

Number of students who played volleyball only is given by

[tex]9-1-2-2\\\\=4[/tex]

Number of students who played soccer only is given by

[tex]10-1-2-2\\\\=5[/tex]

So, Number of students one or more of the three sports is given by

[tex]3+4+5+1+1+2+2\\\\=18[/tex]

Hence, there are 18 players who played one or more of the three sports.

Answer:

I am going to say C.

Step-by-step explanation:

I think this because when you look at option C. there are a lot of ways she can put the trophy case. I hope this helps, I am sorry if it is wrong.

Answer:

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Step-by-step explanation:

we know that

When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.

so

The rule of the reflection of a point across the line y=x is

(x,y) -----> (y,x)

we have

Points p(1,2) and q(4,3)

Applying the rule of the reflection across the line y=x

p(1,2) ------> p'(2,1)

q(4,3) -----> q'(3,4)

therefore

The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)

Answer:

Because the sum of the measures of a pair of same-side interior angles

is equal to one-half the number of degrees in a parallelogram ⇒ B

Step-by-step explanation:

* Lets explain how to solve the problem

- In a parallelogram every two opposite sides are parallel

- In a parallelogram every tow opposite angles are equal

∵ The parallelogram is a quadrilateral

∵ The sum of the measures of the interior angles in any quadrilateral

   is 360°

∵ In parallelogram each two opposite angles are equal

∴ The sum of the measures of every two adjacent angles

   equal 360° ÷ 2 = 180°

* Lets solve the problem

- When parallel lines are cut by a transversal

∵ It is a fact that the parallel lines and their transversal can form a

  parallelogram

∵ The sum of the measures of the adjacent angles of the

   parallelogram is 180°

∵ The sum of the measures of the supplementary angles is 180°

∴ The same side-interior angles are supplementary, because

   they are two adjacent angles in a parallelogram

* Lets find the true statement

∵ The sum of the measures of every two adjacent interior angles

  in the parallelogram = 360° ÷ 2 = 180°

∵ 180° is half the sum of the measures of interior angles in the

  parallelogram

∴ Because the sum of the measures of a pair of same-side interior

  angles is equal to one-half the number of degrees in a

  parallelogram

Answer:

330

Step-by-step explanation:

I think you mean aisle and shelves, right? ;-) Anyway, if you multiply 15 by 22, you get 330.

For x -

180 = 4x + 6 + 11x - 6

180 = 15x

[tex]\frac{180}{15}[/tex] = x

x = 12

For m∠ABD -

4(12) + 6

48 + 6

m∠ABD = 54

For m∠DBC -

11(12) - 6

132 - 6

m∠DBC = 126

Answer:

x = 12° ; m∠ABD= 54°    ; m∠DBC=126°

Step-by-step explanation:

∠ABD + ∠DBC = ∠ABC

Here ,

∠ABC is a straight line .

We know,

A straight angle is 180 degrees.

So,

∠ABD + ∠DBC = 180°

⇒(4x+6)° + (11x-6)° =180°                        [given]

⇒15x =180°

⇒x = (180/15)°      [divide both sides by 15]

∴ x = 12°

Now,

∠ABD = (4x+6)°         [given]

           ={(4 . 12) + 6 }°    

            =(48+6)°

            =54°  

And,

∠DBC = (11x-6)°                       [given]

           ={(11 .12)-6}°

           =(132 - 6)°

           =126°  

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2977\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &13 \end{cases} \\\\\\ A=2977\left(1+\frac{0.06}{4}\right)^{4\cdot 13}\implies A=2977(1.015)^{52}\implies A\approx 6456.74[/tex]

To calculate the account balance after 13 years, we can use the formula for compound interest. Plugging in the given values, the account balance will be approximately $5,646.98.

To calculate the account balance after 13 years, we can use the formula for compound interest: A = P(1+(r/n))^(nt), where A is the final account balance, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $2,977, r = 6% or 0.06, n = 4 (quarterly compounding), and t = 13 years. Plugging these values into the formula, we get:

A = $2,977(1+(0.06/4))^(4*13)

Simplifying further, we have:

A = $2,977(1.015)^52

Using a calculator, we find that A ≈ $5,646.98. Therefore, the account balance will be approximately $5,646.98 after 13 years.

https://brainly.com/question/34614903

#SPJ2

The left and right sides would be the same length.

Set the two sides equal and solve for y:

10 = 2y +4

Subtract 4 from both sides:

6 = 2y

Divide both sides by 2:

y = 6/2

y = 3

Answer:

A

Step-by-step explanation:

Answer:

± 13

Step-by-step explanation:

[tex]\sqrt{169}[/tex] = ± 13, since

13 × 13 = 169 and - 13 × - 13 = 169

Answer:

no solution

Step-by-step explanation:

Given

27x + 14 = 3(9x - 7) ← distribute right side

27x + 14 = 27x - 21 ( subtract 27x from both sides )

0 + 14 = - 21 ( subtract 14 from both sides )

0 = - 35 ← not possible

Thus the equation has no solution

Answer and Step-by-step explanation :

There is no answer for this question.

Step 1: Simplify both sides of the equation :

[tex]27x+14=(3)(9x)+(3)(-7)[/tex]  [tex]Distribute[/tex]

[tex]27x+14=27x+-21[/tex]

[tex]27x+14=27x-21[/tex]

Step 2 : Subtract [tex]27x[/tex] from both the side :

[tex]27x+14-27x=27x-21-27x[/tex]

[tex]14=-21[/tex]

Step 3 : Subtract [tex]14[/tex] from both the sides :

[tex]14-14=-21-14[/tex]

[tex]0=-35[/tex]

Hence there is no solution to this answer.

Answer:

Step-by-step explanation:

hello :

an equation of the circle Center at the A(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²

in this exercice r² =15²

so the length of the radius is: r = 15

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 5)² = 15² ← is in standard form

with centre (6, - 5 ) and radius = 15

Answer:

3/16 cups

Step-by-step explanation:

Well, you see that 3/4 of a cup is 1 batch --->

3/4 cup  :  1 batch

to get 1/4 of a batch, you can just multiply both sides of the ratio by 1/4

3/4 * 1/4 cups : 1 * 1/4 batches

3/16 cups : 1/4 batches

Answer:

[tex]\sin\theta=\dfrac{15}{17}[/tex]

[tex]?=15[/tex]

Step-by-step explanation:

Use the trigonometry formula

[tex]\cos^2\theta+\sin^2\theta=1[/tex]

You are given that

[tex]\cos \theta=\dfrac{8}{17}[/tex]

Substitute into the first formula

[tex]\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}[/tex]

Angle [tex]\theta[/tex] is acute angle, then the sine of this angle is positive and

[tex]\sin\theta=\dfrac{15}{17}[/tex]

Answer:

2x-9

Step-by-step explanation:

(18x-81)/9 = 18x/9-81/9 which equals 2x-9 wOah brO sO hArD

The solution to the absolute value equation 5[2x-4] + 1 = 11 is the solution set {1, 3}.

To solve the absolute value equation 5[2x-4] + 1 = 11, we first isolate the absolute value expression by subtracting 1 from both sides of the equation, resulting in 5[2x-4] = 10. Then we divide both sides by 5, yielding |2x - 4| = 2. Next, we consider the two cases where 2x - 4 equals 2 and where 2x - 4 equals -2.

For the first case, 2x - 4 = 2, we add 4 to both sides to get 2x = 6, and then divide by 2 to find that x = 3. For the second case, 2x - 4 = -2, we add 4 to both sides to get 2x = 2, and then divide by 2 to find that x = 1.

Thus, the solution set to the original equation is {1, 3}, and we can verify these solutions by substituting them back into the equation to check that they satisfy the initial condition.

The answer is 842500.

Answer:

Step-by-step explanation:

Because they are like terms, you can just subtract them.

9 - 2 = 7

So:

9x - 2x = 7x

Let me know if you have any questions about this.

Answer:

9x-2x=7x that means 9-2=7

Answer:

w = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-8 - 3(w + 13) = 4(w + 11) - 7w

Step 2: Solve for w

Here we see that -47 does not equal 44.

∴ w = no solutions.

There is no solution to the equation -8-3(w+13)=4(w+11)-7w, as it simplifies to an untrue statement.

Here is the step-by-step solution:

Distribute the constants through the parentheses:

-8 - 3w - 39 = 4w + 44 - 7w

Combine like terms:

-47 - 3w = -3w + 44

Since -3w on both sides cancels out, we are left with just the constants:

-47 ≠ 44

There is no value for w that will make this equation true, hence there is no solution.

Answer:

m∠R

Step-by-step explanation:

Q is the inscribed angle formed by the interception of segments TQ and SQ

R is the inscribed angle formed by the interception of segments TR and SR

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle; then, both angles Q and R are half of the central angle and equal between them. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Final answer:

To determine how many times 5/9 is greater than 4/15, we find a common denominator and compare the equivalent fractions. The fraction 5/9 is approximately 2.0833 times greater than 4/15.

Explanation:

The question is asking to find out how many times 5/9 is greater than 4/15. To compare these two fractions, we must find a common denominator or convert them to decimal form for easier comparison.

To find a common denominator, we can multiply the denominators 9 and 15 to get 135. Converting 5/9 to a fraction with 135 as the denominator, we get 75/135. Converting 4/15 to a fraction with 135 as the denominator, we get 36/135. Now, we compare the numerators 75 and 36, and we see that 75 is greater than 36.

Therefore, to find out how many times 5/9 is greater than 4/15, we divide 75 by 36, which gives us approximately 2.0833. Thus, 5/9 is about 2.0833 times greater than 4/15.

Answer:

The answer is 2.

2 + 6 = 8, 16/8 = 2.

Answer:

About 16 centimeters

Step-by-step explanation:

In order to convert inches to centimeters, you must multiply the inches by 2.54. Then, round your answer, and you will get 16.

1) 6.14 * 2.54 = 15.5956

2) = 16

The length of a dollar bill is approximately 16 centimeters when converted from inches and rounded to the nearest whole number.

To convert the length of a dollar bill from inches to centimeters, we use the conversion factor 1 inch = 2.54 cm. The length of the dollar bill is 6.14 inches. To find the length in centimeters, we multiply 6.14 inches by the conversion factor.

Step 1: Set up the conversion equation:
Length in cm = Length in inches x Conversion factor

Step 2: Substitute the given length and conversion factor:
Length in cm = 6.14 inches x 2.54 cm/inch

Step 3: Carry out the multiplication:
Length in cm = 15.5956 cm

So, the approximate length of a dollar bill to the nearest centimeter is about 16 cm, when rounded to the nearest whole number.

https://brainly.com/question/32103796

#SPJ6

Answer:

i think ur right or letter b butu not c

Step-by-step explanation:

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&19000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]\bf 19000=P\left(1+\frac{0.08}{2}\right)^{2\cdot 5}\implies 19000=P(1.04)^{10} \\\\\\ \cfrac{19000}{1.04^{10}}=P\implies 12835.72\approx P[/tex]

To have $19,000 in 5 years with an 8% interest rate compounded semiannually, you should deposit approximately $12,840.72 now.

The question is about calculating the present value of an investment to reach a future sum of money with a given interest rate, compounded semiannually. To find out how much you should deposit now to have $19,000 in the future, we can use the formula for the present value of an investment for compound interest:

PV = FV / (1 + r/n)(nt)

FV = $19,000

r = 8% or 0.08

n = 2 (because interest is compounded semiannually)

t = 5 years

We can substitute these values into our formula:

PV = $19,000 / (1 + 0.08/2)(2*5)

Doing the math:

PV = $19,000 / (1 + 0.04)10

PV = $19,000 / 1.48024

PV = $12,840.72

So, you would need to deposit approximately $12,840.72 now in order to have $19,000 in 5 years, given an 8% interest rate compounded semiannually.

Answer:

Addition.

Step-by-step explanation:

Multiplication is a faster way to do repeated addition.

For example, lets say you would add 10 fifteen's together. Addition would make it:

15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15 + 15

= 30 + 30 + 30 + 30 + 30

   = 60 + 60 + 30

      = 120 + 30

          = 150

However, when multiplying:

15 x 10 = 150

As you can tell, multiplication makes it so there are less steps, and is less time consuming.

~

Answer:

Additions.

Step-by-step explanation:

Multiplication is equivalent to repeated additions and is faster, especially if the numbers are large.

A simple example is 2 * 3 = 2 + 2 + 2.

To find 1 more than the product of a number and -8, we can represent the number as 'x' and calculate the expression -8x + 1.

The subject of this question is Mathematics. The question asks to find 1 more than the product of a number and -8.

To solve this, we can let the number be represented by 'x'. Then the product of the number and -8 is given by the expression -8x. Adding 1 to this expression gives the answer to the question, which is -8x + 1.

https://brainly.com/question/24451214

#SPJ2

Answer:

California has the largest population out of the three.

Step-by-step explanation:

We would first start by showing the proportions.

California: 3/25

New York: 3/50

Texas: 2/25

You would have to find the least common denominator (in this case, 50) to accurately compare it.

So, if we wanted to convert California's ratio to one with a denominator of 50, we would multiply both sides by 2.

(3*2)/(25*2)

= 6/50.

Now, we can do the same with Texas' population.

(2*2)/(25*2)

= 4/50

Seeing that 3/50 < 4/50 < 6/50, the population of New York would be less than the population of Texas, which is in turn less than the population of California.

Therefore, California has the largest population.