can anyone help me with this please marking brainly :)

Answer:

20 laps

Step-by-step explanation:

Since you are looking for the number of laps that will make him have an equal distance in both pools, you start by making two equations and setting them equal to each other.

So: 300+15x = 100+25x

Then, you simplify it:

300+15x=100+25x

300-100=25x-15x

200=10x

x=20

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

Answer:

\(6,10\)

Step-by-step explanation:

Method 1:

\(\mathrm{Let\ two\ numbers\ be\ x\ and\ y\ such\ that:}\\\mathrm{x:y=3:5\ \ \ \ and\ \ \ \ x+y=16}\\\mathrm{or,\ \frac{x}{y}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3y..........(1)}\\\mathrm{Also\ we\ have}\\\mathrm{x+y=16}\\\mathrm{or,\ 5(x+y)=5(16)}\\\mathrm{or,\ 5x+5y=80}\\\mathrm{or,\ 3y+5y=80\ [From\ equation\ 1]}\\\mathrm{or,\ 8y=80}\\\mathrm{or,\ y=10}\\\mathrm{From\ equation\ 1,}\\\mathrm{5x=3y}\\\mathrm{or,\ 5x=3(10)=30}\\\mathrm{\therefore x=6}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 1:

\(\mathrm{Let\ the\ two\ numbers\ be\ x\ and\ 16-x.}\\\mathrm{Then,\ we\ have}\\\mathrm{x:(16-x)=3:5}\\\\\mathrm{or,\ \frac{x}{16-x}=\frac{3}{5}}\\\\\mathrm{or,\ 5x=3(16-x)=48-3x}\\\mathrm{or,\ 5x+3x=48}\\\mathrm{or,\ 8x=48}\\\mathrm{\therefore x=6}\\\mathrm{So,\ the\ other\ number=16-x=16-6=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Alternative method 2:

\(\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 5x.}\\\mathrm{Then,}\\\mathrm{3x+5x=16}\\\mathrm{or,\ 8x=16}\\\mathrm{or,\ x=2}\\\mathrm{So,\ first\ number=3x=3(2)=6}\\\mathrm{Second\ number=5x=5(2)=10}\)

\(\mathrm{So,\ the\ two\ numbers\ are\ 6\ and\ 10.}\)

Let the point of A be (x,y)Then, (2x−4,2y+19)=(2,8)2x−4=2,2y+19=8x=8,y=−3So, the point A is (8,−3)(b) Let the point B be (x,y)Then,  (2x−1,2y+2)=(−2,4)2x−1=−2,2y+2=4x=−3,y=6So, point B is (−3,6)

I hope it helps mate

Have a nice day

#Sarcastichuman

Answer:

Step-by-step explanation:

Solve this by ratios

Cross product  is

Unit rate

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

Answer:

\(m=-\frac{1}{5}\)

Step-by-step explanation:

Check the picture below.

Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

4in

Step-by-step explanation:

To find area, you must multiply the given measurement.

2x2=4

Area= 4in

Therefore, the probability of selecting a defective battery followed by another defective battery is 1/145.

Calculating the likelihood that a statement is true or that a particular event will take place is the centre of probability theory, a branch of mathematics. Any number between 0 and 1, where 1 is usually used to range confidence as well as 0 is routinely used it to convey possibility, can be used to represent chance. A probability diagram shows the likelihood that a particular occurrence will occur.

Here,

The probability of selecting a defective battery on the first draw is 3/30, or 1/10, since there are 3 defective batteries out of 30 total.

Since one battery has already been drawn, there are now 29 batteries left in the box, and 2 defective batteries remaining.

The probability of selecting another defective battery on the second draw, without replacement, is 2/29.

To find the probability of both events happening (selecting a defective battery followed by another defective battery), we multiply the probabilities of each event:

P(defective battery and then another defective battery) = P(defective battery on first draw) × P(defective battery on second draw)

= (1/10) × (2/29)

= 2/290

= 1/145

Therefore, the probability of selecting a defective battery followed by another defective battery is 1/145.

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Answer:

The length is 26 feet and the width is 23 feet

Step-by-step explanation:

Let l represent the length of the rectangle.

The width can be represented by l - 3, since it is 3 feet less than the length

Set up an equation:

l + l + (l - 3) + (l - 3) = 98

Add like terms and solve for l:

l + l + (l - 3) + (l - 3) = 98

4l - 6 = 98

4l = 104

l = 26

So, the length is 26 feet.

Since the width is l - 3, we can plug this in for l to find the width:

l - 3

26 - 3

= 23

So, the length is 26 feet and the width is 23 feet

Answer:

1.4

Step-by-step explanation:

Answer:

-7/15 is the correct answer

Step-by-step explanation:

The function is f(x) = 25100(1 + 0.06)ˣ and the estimate fox population in the year 2008 is 40,0005.

It is defined as a function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

It is given that:

The fox population in a certain region has a continuous growth rate of 6 percent per year

f(x) = a(1 + r)ˣ

f(x) = 25100(1 + 0.06)ˣ

Plug x = 8 years

f(8) = 25100(1 + 0.06)⁸

f(8) = 40,0005

Thus, the function is f(x) = 25100(1 + 0.06)ˣ and the estimate the fox population in the year 2008 is 40,0005.

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The transformation can be defined as the introduction of a new set of mathematical coordinates. The transformation can be described as Translation right and down.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

The rectangle is translated towards the right and down from the original. Hence, The transformation can be described as Translation right and down.

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Hi

First we must how much she has to spend to do all the miles.

as each mile is  0.15 she needs   0.15 * 375 = 56.25  dollars.  

Now the compagny charges 69.72 for each day.  Let's call X numbers of days.

Then we have to solve :  

69.72 X + 56.25  = 470

69.72 X = 470 -56.25

69.72 X = 413.75

           X =  413.75 / 69.72

           X = 5.93 ...  

As the compagny charges whole days, she can keep it only 5 days.

Answer:

Everything bro

Step-by-step explanation:

Answer:

x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_

Answer:

should be 22.5 for the first one and 324 for the second

Step-by-step explanation:

pi = 180° so you can take the multiplier by pi and switch pi to be 180

Answer:

Step-by-step explanation:

(-3/4)x + 9 = (-1/2)x + 8

        9 - 8 =  (-1/2)x + (3/4)x

               1 =  (1/4)x

              x = 4

y = (-3/4)4 + 9

y = -3 + 9

y = 6

Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

Answer:

Step-by-step explanation:

2.50

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

If Nancy has to buy an item that cost $30 with a 5% off and Ninda has to buy an item that cost $25 with a 10% off.

The difference between individual pay is $6.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Nancy:

Coupon = 5% off

Cost of the purchase = $30

Amount to pay:

= 30 - (5/100) x 30

= 30 - 30/20

= 30 - 1.5

= $28.5

Linda:

Coupon = 10% off

Cost of the purchase = $25

Amount to pay:

= 25 - (10/100) x 25

= 25 - 2.5

= $22.5

The difference between individual pay:

= 28.5 - 22.5

= $6

Thus

The difference between individual pay is $6.

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The areas of the 2D shapes are:

1. 8 cm²

2. 35 m²

3. 136 cm²

4. 152 m²

To find the area of each 2D shape, decompose it and find the area of each of the shapes it is composed of.

1. Area of triangle = 1/2(base * height) = 1/2(8 * 2)

= 8 cm²

2. Area of the 2D shape = area of triangle + area of rectangle = 1/2(7 * 4) + 7 * 3

= 35 m²

3. Area of the 2D shape = area of triangle + area of rectangle = 1/2(16 * 5) + 16 * 6

= 136 cm²

4. Area of the 2D shape = area of rectangle 1 + area of rectangle 2 = 8 * 7 + 12 * 8

= 152 m²

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Answer:

the sum is 3m-12

Step-by-step explanation:

The nunbers are:

\(m-2\\m-4\\m-6\\the~sum~is:\\sum=(m-2)+(m-4)+(m-6)\\sum=m-2+m-4+m-6=m+m+m-2-4-6\\sum=3m-12\)

The sum of three odd consecutive integers is 3m - 12

"These are the integers which are not divisible by 2."

For given question,

We need to find the sum of three consecutive odd integers.

Let x, x + 2, x + 4 be three consecutive odd integers.

We have been given the last one is m - 2

This means x + 4 = m - 2

So, the second odd integer would be,

x + 2 = m - 4

and the first odd integer would be,

x = m - 6

, we find the sum of the three odd consecutive integers.

⇒  (m - 6) + (m - 4) + (m - 2)

= m + m + m - 6 - 4 - 2

= 3m - (6 + 4 + 2)

= 3m - 12

Therefore, the sum of three odd consecutive integers is 3m - 12

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