Explain how to solve this equation I know it's 16 but I don't know how to solve it

In picture

All it’s asking for is what over 2 equals 8 so it’s technically use division.

16/2=8

16/2=8

**Answer: to solve this equation, multiply both sides of the equation by 2. **

**Step-by-step explanation: by multiplying both sides of the equation by 2, you are effectively eliminating the fraction on the left, making the answer x = 16. **

Kate used a 30% off coupon to purchase a sweater. If she paid $33.60, what was the original price of the sweater

The **original price** of the sweater is $48.

Given that, Kate used a 30% off coupon to purchase a sweater.

What is an equation?In mathematics, an **equation** is a formula that expresses the **equality** of two **expressions**, by connecting them with the equals sign =.

The **cost** of sweater is $33.60

Let the **original price** of the sweater be x

Now, x-30% of x=33.60

⇒ x-30x/100 = 33.60

⇒ x -3x/10 =33.60

⇒ 7x/10 =33.60

⇒ 7x=336.0

⇒ x=48

Therefore, the **original price** of the sweater is $48.

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100 pts for who solves

answer : CFL bulb - 4, 40,000

LED bulb- 8, 80,000

LED bulb- 8, 80,000

**I have no : idea**

**Step-by-step explanation: WHat grade is this for I might be able to help you.**

5. Which of the following is parallel to the line y = 3/5x+1?

**Answer:**

y=3/5x-7

**Step-by-step explanation:**

when lines are parallel they have the same slope and the slope of the first line was 3/5

Hello!

Let's consider the equation given:

⇒the *coefficient* before the x is the slope

When lines are parallel:

⇒the slopes are equal

Since the line given has a *slope of 3/5*

⇒ the line *parallel* is [tex]y = \dfrac{3}{5} x - 7[/tex] **<==Answer**

Hope that helps!

Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool.

C) Write an equation that gives the amount of water, w, after t hours.

**Answer:**

**Step-by-step explanation:**

u will have 1 niche of water in 2 hours

write the midpoint formula

The midpoint formula is as follows:

(X^1+X^2 / 2 , Y^1+Y^2 / 2)

(X^1+X^2 / 2 , Y^1+Y^2 / 2)

**Answer: **

[tex]M (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]

**Step-by-step explanation:**

don’t know what to do

The **domain** and** range **of the **function** f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

It is defined as a** special **type of **relationship**, and they have a predefined** domain **and **range** according to the** function **every value in the **domain** is related to exactly one **value** in the range.

The** equation **for the **function **is:

f(x) = 3x⁵

The **domain **of the function: D = all real number

The range of the **function**: R = all real number

x-intercept = 0

y-intercept = 0

**Increasing **interval: x ∈ [0, ∞)

Decreaing **interval**: x ∈ (-∞, 0]

Symmetry = The **function **is not symmetric

End behavior:

x → ∞, y →∞

x → -∞, y → -∞

Thus, the **domain** and** range **of the **function** f(x) = 3x⁵ is all real numbers, the x-intercept = 0 and y-intercept = 0.

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Laws of Exponents

please follow the laws of the exponents to find this answer

The **answer** to the given **expression **2⁴· [(2²·2⁴)⁻³/2¹⁴] would be 2⁻²⁸ which is determined by the **laws** of the **exponents**.

The **product** rule is an **exponent** rule that states that when you multiply similar bases, the** add **exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

In the **power** rule, elevating one exponent to a second **multiplies** the exponents.

For example, (a²)³ = a²ˣ³ = a⁶

The given **expression** would be as

⇒ 2⁴· [(2²·2⁴)⁻³/2¹⁴]

As per the **laws** of the **exponents**, the solution would be as :

⇒ 2⁴· [(2²⁺⁴)⁻³/2¹⁴]

⇒ 2⁴· [(2⁶)⁻³/2¹⁴]

⇒ 2⁴· (2⁻¹⁸/2¹⁴)

⇒ 2⁴· (2⁻¹⁸⁻¹⁴)

⇒ 2⁴· (2⁻³²)

⇒ 2⁴⁻³²

⇒ 2⁻²⁸

Therefore, the **answer** would be 2⁻²⁸.

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How many solutions exist for the following system if m1 ≠ m2?

y = m1x + b

y = m2x + b

answers:

1.an infinite number

2.none

3. one

4. the number of solutions cannot be determined.

**Answer:**

3

**Step-by-step explanation:**

Since the graphs aren't parallel due to not having the same slope we can assume they will intercept once

Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping. last week aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134. write a system of equations that could be used to determine the number of hours aisha worked babysitting last week and the number of hours she worked landscaping last week. define the variables that you use to write the system.

**Answer:**

Let b represent the number of hours babysitting, and let l be the number of hours landscaping. We have this system of equations:

[tex]7b + 8l = 134[/tex]

[tex]b = l + 2[/tex]

Find the value of k if the line 2y+k=2+x is tangent to the parabola y=2x^2 +6x +3.

The value of k is -1 of tangent over the **parabola**.

Equation of a line: y = (2 + x - k) ÷ 2, in line form of y = mx + c.

Equation of the parabola: x² = (y - 6x - 3) ÷ 2

Given,

y = (x ÷ 2) + (1) - (k ÷ 2)

where, m = 1 ÷ 2 and c = (1 - k) ÷ 2

For parabola equation in parabola form,

y = 2x² + 6x - 3

y = 2(x² + 3x - n) - 3

n = (b ÷ 2)²

n = (6 ÷ 2)²

n = 9

y = 2(x² + 3x - 9 + 9) - 3

y = 2(x² + 3x + 9) - 9 - 3

y = 2(x² + 3x + 9) - 12

y = 2(x + 3)² - 12, Hence the parabola equation is in** vertex form**.

Now, comparing the above vertex form with the **parabola** equation,

x² = 4ay

(x + 3)² = (y ÷ 2) + 6

where a = 1 ÷ 2

Now using the condition of **tangency** c = a ÷ m

c = (1 - k) ÷ 2

m = 1 ÷ 2

a = 1 ÷ 2

(1 - k) ÷ 2 = (1 ÷ 2) ÷ (1 ÷ 2)

1 - k = 2

k = -1

Therefore, the value of k is -1.

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the sum of four times a number and six divided by the number squared

**Answer: 4x+6/x^2**

**Step-by-step explanation:**

(4n+6)/n^2 is the equation in standard form.

Let’s say you want to borrow $500 for two weeks from a pay lender that charges a $100 fee for the loan. It’s takes you a year before your are able to pay them back

The **interest rate** for the loan is 20%.

The **interest rate** represents the **percentage** or the **proportion** of the interest over the total loan.

The **interest** is the **finance charge** for the credit extended by the pay lender.

The **interest rate**, R = Interest x 100/Principal x Time, where the simple interest equals principal x rate x time.

The total amount borrowed = $500

The total finance charge = $100

The period of the loan = 1 year

The interest rate

= $100 x 100/$500 x 1

= 20%

Thus, the pay lender is charging an **interest rate** of 20% per annum.

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Question Completion:What is the interest rate?

How many flowers spaced every 6 inches are needed to surround a circle garden with a 125 feet radius. Use three. 3.14 pi.

You would require **1,570 flowers **in space of every **6inch **to surround the garden with **125feet radius**.

First, we need to **calculate **the **circumference **of the circle. The formula for the circumference of the circle is:

C = 2πr

If we substitute 125ft for r and use 3.14 to approximate π

we get a **circumference **of:

C = 2 * 3.14 * 125

C = 6.28 *125

C = **785ft**

We can now convert the circumference in feet to inches as follow;

As we know that **1ft **= **12inches**

∴ 785ft = 12(785) inches = **9,420 **inches.

To find how many flowers we need we can divide the circumference in inches by the 6 inches between flowers giving:

=[tex] 9,420in\ X \ \frac{1\ flower}{6 in} [/tex]

=[tex] \frac{9,420}{6 } \ flower [/tex]

=**1,570 **flowers

**Hence **You would **require **1,570 flowers in space of every 6inch to surround the garden with 125feet radius.

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Paloma made a list to track the number of minutes she spent practicing piano.

24, 18, 23, 25, 30, 32, 35, 28, 25, 32, 28, 24

What was her median practice time? please help me

Paloma's **median** practice **time** would be = **26.5**

**Median** is defined as the middle of a set of data which will be selected after the data has been grouped in an ascending or descending order.

The list to track the number of **minutes** Paloma spent practicing piano in ascending order include the following:

18, 23, 24, 24, 25, **|25, 28,|** 28, 30, 32, 32, 35

The **middle figures** are 25 and 28 which should be added and divided into two.

That is;

25 + 28 = 53/2

= 26.5

Therefore, the **median** practice time for Paloma = **26.5**

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a random sample of 130 mortgages in the state of mississippi was randomly selected. from this sample, 20 were found to be delinquent on their current payment. what is the mean of the sampling distribution of the proportion of delinquent payments?

For a **random sample** of 130 mortgages with 20 delinquents on their current payment, the mean of the **sampling distribution** of the proportion of delinquent payments is not possible to say because population proportion is not known.

A **random sample** refers to a randomly selected subset of the population. In random sampling, each member of the population has an equal chance of selection, reducing the risk of selection bias. Random sampling ensures that the conclusion drawn from the sample should approximate the results obtained if entire population had been measured. The mean of the sampling distribution is the mean of the population from which results were sampled. As the **population proportion** (fraction of the population with certain characteristic) is unknown, the mean cannot be determined.

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If f(x) = –3(1 – x – 2x squared by 2) give f-2.

The **value** of the **function** f(x) = 3(1 - x - 2x²)/2 at x = -2 is f(-2) = -15/2 after plugging x = -2.

It is defined as a **special** type of **relationship**, and they have a predefined **domain** and range according to the **function** every value in the **domain **is related to exactly **one **value in the **range**.

It is given that:

The** function **is:

f(x) = 3(1 - x - 2x²)/2

It is required to find the **value **of f(-2)

Plug x = -2

f(-2) = 3(1 - (-2) - 2(-2)²)/2

f(-2) = 3(1 + 2 - 8)/2

f(-2) = 3(-5)/2

f(-2) = -15/2

Thus, the **value** of the **function** f(x) = 3(1 - x - 2x²)/2 at x = -2 is f(-2) = -15/2 after plugging x = -2.

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please help will give brainliest

The correct answer to the question would be:

**D. The manufacturer tests every 500th smartphone off the production line.**

find the rate of change of the volume of a cylinder when its radius is 6 feet if its height is always (3/2) times its radius and its radius is increasing at the rate of 2 feet per minute.

When the radius of a** cylinder** is 6 ft. and it is increasing at the rate of 2 feet per minute, its volume will change at** rate **of 509.14 ft³/minute.

Given a cylinder with:

r = **radius**

h = height = 3/2 . r

The **volume** of the cylinder is:

V = πr².h

Substitute h = 3/2 . r,

V = πr².(3/2 r)

V = 3/2 . πr³

Take the **derivative** with respect to t:

dV/dt = 9/2 . πr² . dr/dt

Substitute dr/dt = 2 ft./minute and r = 6 ft.,

dV/dt = 9/2 . π.6²

dV/dt = 9/2 . π.6² = 509.14 ft³/minute.

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i need help with this i don't know what to do

Angle C remains as 37° because dilating a shape keeps the angle.

From your home, the route to the store tat passes the beach is 2 miles shorter than the route to the store that passes the park. What is the length of each route.

**Answer:**

**Step-by-step explanationFrom your home, the route to the store tat passes the beach is 2 miles shorter than the route to the store that passes the park. What is the length of each route.:**

The value of a machine. V at the end of years is given by V = C(1-r)^t, where C is the original cost of the machine and r is the rate of depreciation. A machine thatoriginally cost $13,500 is now valued at $10,419. How old is the machine if r= 0.12? Round your answer to two decimal places.AnswerHow to enter your answer (Opens in new window)KeypadKeyboard Shortcuts

The value of a machine at the end of t years with a rate of depreciation, r is given by the function:

[tex]V=C(1-r)^t[/tex]It is required to find the age of a machine that originally costs $13,500, but is now valued at $10,419 and has a rate of depreciation of 0.12.

To do this, substitute **C=13500, V=10419, ** and **r=0.12 **into the function:

Solve the resulting equation for t:

[tex]\begin{gathered} \text{swap the equation:} \\ \Rightarrow13500(0.88)^t=10419 \\ Divide\text{ both sides by 13500:} \\ \Rightarrow\frac{13500(0.88)^t}{13500}=\frac{10419}{13500} \\ \Rightarrow0.88^t=\frac{3473}{4500} \end{gathered}[/tex]Take the Logarithm of both sides:

[tex]\begin{gathered} \ln(0.88^t)=\ln(\frac{3473}{4500}) \\ \Rightarrow t\cdot\ln(0.88)=\ln(\frac{3473}{4500}) \\ \Rightarrow t=\frac{\ln(\frac{3473}{4500})}{\ln(0.88)}\approx2.03 \end{gathered}[/tex]Hence, **the machine is about 2.03 years.**

**The machine is about 2.03 years.**

jimmy read 2/15 of a book on Monday, 1/3 on Tuesday, 2/9 on Wednesday and 3/4 of the remainder on Thursday. If he still had 14 pages left to read on Friday, how many pages were there in the book?

The **total number of pages** in the **book **is **180.**

**Total number of pages**:

It refers the number of pages in the prescribed book.

And if we want to find the total number of pages, then we have to add the** read pages** and the **remaining pages.**

** **

Given,

Jimmy read 2/15 of a book on Monday, 1/3 on Tuesday, 2/9 on Wednesday and 3/4 of the remainder on Thursday. If he still had 14 pages left to read on Friday.

Here we need to find the total number of pages in the book.

Let us consider x be the number of pages in the book.

The portion of book read by **Jimmy **on Monday is 2/15

The portion of book read by **Jimmy **on Tuesday is 1/3

The portion of book read by **Jimmy **on Wednesday is 2/9

The portion of book read by **Jimmy **on Thursday is 3/4

And the remaining pages to read on Friday is 14

So, the **total **of all is:

=> x (2/15 + 1/3 + 2/9)

=> x (6 + 15 + 10)/45

=> 31x/45

So, for Thursdays, he reads 3/4 of the remainder of the book.

He has (1 - 31/45)x left that is 14x/45.

So, he reads 3/4 of this; which is

=> 3/4(14x/45) = 42/180x.

Therefore, until Thursday he has read

=> 31/45x + 42/180x.

We know that here 180 would be a common denominator;

Now we have to convert these fractions,

Then we have,

124/180x + 42/180x = 166/180x

Up to this point, he has 14 pages left;

Therefore, this means he has read 14 pages less than x, the total number of pages.

Then the given equation is written as,

166/180x = x-14

0 = 14/180x - 14

Adding 14 to each side gives us, then we get,

14 = 14/180x

14(180)/14 = x

180 = x

Therefore, there are 180 pages in the book.

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6,

12 24

5'25'

Find the 7th term.

The **general form **of terms of a **Geometric Progression Formulas **is a, ar, [tex]$$\mathrm{a} r^2[/tex], [tex]$$\mathrm{a} r^3$[/tex], and so on then the 7th term of the series 6, 12, 24, ........... is 384

Let the first term (a) be 6.

The given **series **is in geometric progression,

we know that, 7th term = a × [tex]$$r^{7-1}[/tex] = a[tex]$ r^6[/tex]= [tex]6 \times(2)^{6}[/tex] = 384

The **general form **of terms of a Geometric Progression Formulas is a, ar, [tex]$$\mathrm{a} r^2[/tex], [tex]$$\mathrm{a} r^3$[/tex], and so on.

Here, a is the first term and r is the common ratio.

The nth term of a **Geometric Progression Formulas **is [tex]$T_n=a r^{n-1}$[/tex]

**Common ratio **[tex]$=\mathrm{r}=T_n / T_{n-1}$[/tex]

Therefore, the correct answer is 384.

The complete question is:

Find the 7th term of the series 6,12,24,....?

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WILL GIVE BRAINLEIST

Which steps show how to use distributive property to evaluate 5 x 38

**Answer:**

A

**Step-by-step explanation:**

When distributing, you multiply the outside number to each number in the inside as well as looking at the operation inside the parenthesis. Hope this helps!

PLEASE HELP FAST!!!!

**Answer: 0.01 more**

**Step-by-step explanation:**

**60% sure!**

9. the school district is served by four buses, each of which delivers students to three different schools. you know the cost of transporting each of the students to each of the schools, and you want to determine the least expensive way to get all of the students to their schools. if you use excel solver for this analysis, how many different variable cells should you use?

If you use excel solver for this analysis, the number of different **variable **cells should you use are 12

Option- C

The right answer is 12.

Given that,

There are four buses that transport children to the district's three main schools. You are aware of the price of transporting each student to each school.

Since there are four buses and three schools according to the supplied description, each bus has three school alternatives, thus 4*3=12, bearing in mind that there must be the least **expensive** route to transport all of the students to their schools.

There must therefore be 12 separate **variable** cells employed.

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Autumn has a points card for a movie theater.

She receives 40 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs at least 225 points for a free movie ticket.

Write and solve an inequality which can be used to determine v, the number of visits Autumn can make to earn her first free movie ticket.

HURRY PLEASE!!!!!!!!!!!!!!!!!

On **Solving inequality** 40 + 12.5 v ≥ 225, we get** solution** v ≥ 14.8. It means Autumn can earn movie ticket from** 15** visits.

An inequality is a **statement **that compares two **expressions** using ≤, ≥, <, > .

We can solve an** inequality** by **adding** same number to both sides or by **subtracting **same number from both side. While adding or subtracting the sign of the **inequality** will not change.

When we **multiply** both sides of the inequality with a **positive** number then the sign of the inequality does not change, but when we multiply both sides by an** negative** number then the sign of inequality **reverses**.

Given that Autumn receives 40 points for **signing up** and 12.5 points for each visit to the theatre.

Let the **number** of visits to the theatre be v

Then **points** earned by v visits = v × 12.5 = 12.5 v

Total points earned = signing up points + points of v visits

⇒ Total points earned = 40 + 12.5 v

For earning a free movie tickets the total points must be at least 225 or **greater than** or equal to 225

Then the inequality becomes:

40 + 12.5 v ≥ 225

**Subtracting** 40 from both sides

⇒ 12.5v ≥ 225-40

⇒12.5v ≥185

**Multiplying** both sides by 1/12.5

⇒ v ≥ 185/12.5

⇒ v ≥ 14.8

∴ The number of visits must be **greater than** or equal to 14.8 or nearest **integer **15

∴After 15 visits, Autumn will earn a free movie ticket

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A circular wimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wideWhat is the circumference of the outer edge of the path around the pool? Use 3.14 for pi

Given:

Radius of circular swimming pool = 15ft

Radius of the path around the pool = 3ft

radius of outer edge of the pool = 15 + 3 = 18ft

To find the circumference of the outer edge of the path around the pool, use the formula below:

[tex]C\text{ = 2}\pi\text{ r}[/tex]where,

r = 18 ft

pi = 3.14

Thus, we have:

[tex]C\text{ = 2 }\ast\text{ 3.14 }\ast18\text{ = }113.04\text{ ft}[/tex]Therefore, the circumference of the outer edge of the path around the pool is 113.04 ft

**ANSWER:**

**113.04 ft**

I NEED HELP ON THIS QUESTION. I CAN'T SEEM TO GET THE LAST MARK

The dimensions of this **cuboid **are 2 cm, 11 cm, and 17 cm respectively.

Mathematically, the **volume** of a **cuboid** can be calculated by using this following formula:

Volume = L × W × H

Where:

L is the length of aSubstituting the given parameters into the formula, we have;

Volume = 2 × (x + 3) × (x + 9)

374 = 2 × (x² + 9x + 3x + 27)

374 = 2 × (x² + 12x + 27)

Dividing both sides by 2, we have:

187 = x² + 12x + 27

Rearranging the **equation**, we have:

x² + 12x + 27 - 187 = 0

x² + 12x - 160 = 0

Next, we would solve the quadratic **equation** by using the factorization method as follows:

x² + 12x - 160 = 0

x² + 20x - 8x - 160 = 0

x(x + 20) - 8(x + 20) = 0

(x - 8)(x + 20) = 0

x = 8 or x = -20

Since the dimensions cannot be negative, the value of x is equal to 8.

Check:

x² + 12x - 160 = 0

8² + 12(8) - 160 = 0

64 + 96 - 160 = 0

160 - 160 = 0 (True).

For the dimensions, we have:

Width = x + 3 = 8 + 3 = 11 cm.

Height = x + 9 = 8 + 9 = 17 cm.

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explain how to solve

2(4x-3)=2

**Answer:**

x=1

**Step-by-step explanation:**

1. distribute through the parentheses

8x-6=2

2. Combine like terms

8x=8

3. Divide by 8

x=1

Hello!

Let's solve:

[tex]\text{Copy down the equation}\\2(4x-3)=2\\\\\text{Multiply 2 into the equation in the parentheses}\\8x - 6 = 2\\\\\text{Add 6 to both sides of the equation}\\8x-6+6=2+6\\8x=8\\\\\text{Divide by 8 on both sides}\\\dfrac{8x}{8} =\dfrac{8}{8} \\\\x=1[/tex]

**Answer: x = 1**

Hope that helps!

A 8.0-kg chunk of putty moving at 4m / s collides with and sticks to a 7.0-kg 1 bowling ball that is initially at rest. The bowling ball with its putty passenger will then be set in motion with a velocity of (round to the hundredths)
Neil and Barry each bought a new phone plan. Neil bought a plan that costs $80 for a new phone and $3per minute of talk, text, or data. Barry bought a plan that costs $230 for a new phone and $2 per minuteof talk, text, or data.7. Write an equation to represent eachfriend's phone plan.8. How much will each friend pay if they eachuse 100 minutes?10. How many minutes would it take for bothplans to cost the same amount?chorar the
Given P(A) = 0.6, P(B) = 0.42 and P(B|A) = 0.63, find the value ofP(An B), rounding to the nearest thousandth, if necessary
Whats 4/5 divided by 16/5 |answers: 3/4 | 1 15/16 | 1 1/4 | 65/75
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A rectangle's base is 5 cm longer than its height. The rectangle's area is 50 cm. Find this rectangle's dimensions.The rectangle's height is The rectangle's base is
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evidence that testing is especially effective when it requires students to make connections between new information and previously stored information can be explained by:
Julia owns a food truck that sells tacos and burritos. She only has enough supplies to make 67 tacos or burritos. She sells each taco for $3.75 and each burrito for $6. Julia must sell no less than $330 worth of tacos and burritos each day. If 42 burritos were sold, determine all possible values for the number of tacos that Julia must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
suppose that george goes to a bakery to buy donuts for breakfast. the maximum amount he is willing to pay for a first donut is $2.00, a second donut is $1.50, a third donut is $1.00; a fourth donut is $0.50, and a fifth donut is $0.00. the bakery charges a price of $1.00 per donut. if george is rational, he will buy donuts and gets consumer surplus of .
A visitor in a Las Vegas casino lost $200, won $100, and then lost $50. What was the change in the gambler's net worth (how much did the gambler win or lose overall)?
x-mart purchased $300 of merchandise on account. demonstrate the journal entry to record this transaction, assuming the perpetual inventory system is used. multiple choice question.
Which of these statements about a business plan is true?A. Businesses do not need to document a business plan.B. Established businesses do not create a business plan.C. A business plan is a businesss roadmap for the future.D. A business plan guarantees a businesss success.
What does it mean to use a resource sustainably?
(a) Write the number 302.658 correct to 2 decimal places, (b) Write the number 302.658 correct to 2 significant figures.
A word problem made out of the equation 1/4+3-7/8x
A gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the circular flower bed.
Abigail and her friend Jaya are going to a carnival that has games and rides. Abigail played 7 games and went on 2 rides and spent a total of $24.75. Jaya played 3 games and went on 6 rides and spent a total of $33.75. Determine the cost of each game and the cost of each ride.