Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?

Answer:

Step-by-step explanation:

Use DESMOS to plot both lines (attached).

If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler.  Both are straight lines, so we only need two points.

Pick any two values of x and solve each equation for y.  I picked x = 1 and 3

EQ1:  y=2x-2

EQ2:  y=-x+4

Value of y    EQ1  EQ2

           x =1     0       3

           x =3    4        1

Plot the points (1,0) and (3,4) for EQ1.

Do the same for EQ2:  (1,3) and (3,1)

The attached graph shows these points.  Note that one can draw stright lines for both equations using only these two points.

Perimeter = 2 (l + b)

2x² + 4x - 4y = 2 {(2x - 3y) + b}

2x² + 4x - 4y = (4x - 6y) + 2b

2x² + 4x - 4y - (4x - 6y) = 2b

2x² + 4x - 4y - 4x + 6y = 2b

2x² + 2y = 2b

(2x² + 2y)/2 = b

x² + y = b

Breadth = x² + y

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

Answer:

4=3(n+2) or if you want the unknown variable to be x, then 4=3(x+2)

Step-by-step explanation:

Four is  :  4=

3 times the sum  :  3(_+_)

sum of a number and two  :  n+2

4=3(n+2)

Hello! :)

4=3(z+2)

Explanation:

4 is means 4=

3 times the sum of a number and two. There's a hint that tells us that we should multiply 3 by both the number and two, and here's how we indicate that:

3(z+2)

Let our number be z.

The sum of two numbers means we add the numbers together.

So, our equation looks like this:

4=3(z+2)

Hope it helps you!

If you have any query, feel free to ask!

~An excited gal

[tex]MagicalNature[/tex] here to help

1) No, because it is a repeating decimal

2) Yes, because it is neither terminating nor repeating

3) Yes, because it is a terminating decimal

4) No, because it is a repeating decimal

The value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

The given equation is:

[tex]3x^3-5x^2-x+3[/tex]

To find the value of [tex]3x^3-5x^2-x+3[/tex] when x = 4, substitute x = 4 into the expression [tex]3x^3-5x^2-x+3[/tex]

When x = 4:

[tex]3x^3-5x^2-x+3 = 3(4^3)-5(4^2)-5+3\\\\3x^3-5x^2-x+3 =3(64)-5(16)-2\\\\3x^3-5x^2-x+3 =192-80-2\\\\3x^3-5x^2-x+3 =110[/tex]

Therefore, the value of the expression [tex]3x^3-5x^2-x+3[/tex] when x = 4 is 110

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Answer:

5[tex]\sqrt{7}[/tex]

Step-by-step explanation:

This is similar to collecting like term in algebra

2[tex]\sqrt{7}[/tex] + 3[tex]\sqrt{7}[/tex]

= (2 + 3)[tex]\sqrt{7}[/tex]

= 5[tex]\sqrt{7}[/tex]

Answer:

5 points for what

Step-by-step explanation:

HeY

Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

Answer:

Step-by-step explanation:

Let's start by looking at the graph of the two equations.

Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.

As a sample for the method of calculation

Let x -2y = 4

Let x = -2.             Find y and put it in the table

-2 - 2y = 4             Add 2 to both sides

-2+2-2y = 4 + 2    Combine

-2y = 6                  Divide by -2

y = 6/-2

y = - 3

Put that in the table under the first equation.

The other 5 points are done the same way.

Answer: use distributive property

Step-by-step explanation:

Answer:

[tex]6^\frac{1}{10}[/tex]

Answer:

Step-by-step explanation:

-8y-4x^3-1

Answer:

-1 - 8y - 4x³

or

-8y - 4x³ - 1

or

4x³ - 8y - 1

Step-by-step explanation:

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

add LIKE terms

- 6y - 2y

7 - 1 - 7

-5x³ + x³

=

-1 - 8y - 4x³

Hope this helps and a thank won't hurt! :)

[tex] \sf \: -15 < x - 8 < -4 [/tex]

[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]

[tex]\sf \longmapsto−7<x<4[/tex]

[tex] \boxed{\sf−7<x<4 }[/tex]

Answer:

1428- one is in the thousandth place

the number beside is lower than five so drop it and add zero to the end

1000 -is now your answer

Step-by-step explanation:

hope this helps if not then sorry goodluck and bye

The number 1428 to the nearest thousand is 1000.

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest thousand, so I had to look at the value in the hundred places which is 4 and less than 5.

Hence round the number down.

So,  1428 to the nearest thousand is 1000.

To learn more about rounding numbers visit:

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Answer:

820 centimeter :3

Step-by-step explanation:

8.2 meters

move the decimal back twice because of KiloHecaDecaBase (m,l,g)DeciCentiMilli

As we know 1 meter is equal to 100 centimeters so the height of the tree 8.2 meters is equal to 820 meters

The same attribute is expressed using a unit conversion but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Measurements are frequently offered in one set of units, like feet, but are required in another set, like chains.

A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.

Given, The height of a tree is 8.2 meters, now we know 1 meter is equal to 100cm so to convert some quantity from meters to centimeters we multiply by 100.

∴ 8.2 meters is equal to (8.2×100) = 820 centimeters.

learn more about unit conversion here :

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Answer:

8n

Step-by-step explanation:

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

Answer:

$250

Step-by-step explanation:

The goal here is to find the cost of the painting BEFORE the 60% increase.

To find the cost of the painting, we must take in the information we already have:

Increase percent: 60%

Original price: unknown

Price after increase: $400

$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).

The total must be (100% + 60% = 160%) 160% of the original painting price.

To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?

Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..

1% $400/160%

We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.

So now, we multiply the 2.5 by 100 to get our answer: $250.

Answer:

the last one

Step-by-step explanation:

Answer:

it could either be 35 or 70

Step-by-step explanation:

Answer:

$40.50

Step-by-step explanation:

90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.  

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

Answer:

k ≥ 13/5 or k ≥ 2.6 ( same thing )

Step-by-step explanation:

symbol stays the same throughout (≥)

subtract 6 from both sides of the symbol ( 13 ≥ 5k)

divide both sides by 5 (13/5  ≥ k )

your answer can be written as k ≥ 13/5 or k ≥ 2.6

Answer:

C

Step-by-step explanation: