Write .24... as a fraction in simplest form.

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(6+8)^2+(-1+2)^2}=\sqrt{14^2+1^2}=\sqrt{197}=14.035668...\approx14.04[/tex]

The distance is 14.03.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A(x1,y1), and B(x2,y2).

Assume that 'd' is the distance between A and B.

d= √(x2 - x1)² + ( y2 - y1)²

Given coordinates:

(-8,-2)  and (6,-1)

Using distance formula,

=√(6+8)² + ( -1 +2)²

=√14²+1²

=√196+1

=√197

= 14.0356

≈14.03

Learn more about distance formula here:

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Answer:

x=3/5

Step-by-step explanation:

2x+4x=x+3

6x=x+3

5x=3

x=3/5

Answer: [tex]x=3/5[/tex]

Simplify both sides of the equation

[tex](2x+4x)=x+3[/tex] (Combine Like Terms)

[tex]6x=x+3[/tex]

Subtract x from both sides

[tex]6x-x=x+3-x\\5x=3[/tex]

Divide both sides by 5

[tex]5x/5=3/5\\x=3/5[/tex]

Answer:

18 gallons

Step-by-step explanation:

From the information given, first you  have to find the amount of cans that were bought and the total amount of fluid ounces:

8 cases of soda*24 cans= 192 cans

 1 can      →   12 fluid ounces

192 cans  →                x

x= 2,304 fluid ounces

Now, you have to find the amount of gallons that you purchased considering that there are 128 fluid ounces in 1 gallon:

1 gallon  →  128 fluid ounces

     x       ←  2,304 fluid ounces      

x=(2,304*1)/128= 18 gallons

According to this, the answer is that you purchased 18 gallons.

Answer:

x=3.21 in fraction x=e+1/2

Step-by-step explanation:

Answer:

Hey there!

f(x)=5x+3

f(5)=5(5)+3

f(5)=25+3

f(5)=28

Let me know if this helps :)

Answer:

f(5) =28

Step-by-step explanation:

[tex]f(x) = 5x + 3\\f(5) =?\\\\[/tex]

Substitute 5 for x in the given function

[tex]f(5) = 5(5) +3\\f(5) = 25+3\\f(5) =28[/tex]

Answer: its rational since there is no irrational no in the denominator

Step-by-step explanation:

Answer:

x = - 9, x = 2

Step-by-step explanation:

Given

(x + 9)(x + 2) = 4(x + 9) ← expand factors on left using FOIL

x² + 11x + 18 = 4x + 36 ( subtract 4x + 36 from both sides )

x² + 7x - 18 = 0 ← in standard form

(x + 9)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 2 = 0 ⇒ x = 2

Answer:

372

There are already 3 terms. So, now you have to find the 30th term.

The difference of 30 - 3 is 27. Now, since you add 9 for every term, multiply it by 27.

27 x 9 = 243.

The third term is 29. So you add 29.

Your answer will be 372. Hope it helps.

Answer:

The length of the line segment: 5.8 units

Step-by-step explanation:

To find the length of a line segment, you must us the formula:

D=[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. well, you must first identify your coordinates

Point A is (-2, -4) which is ([tex]x_1[/tex], [tex]y_1[/tex])

Point B is (1, 1) which is ([tex]x_2[/tex], [tex]y_2[/tex])

2. Now you put these coordinates into your equation

D=[tex]\sqrt{(1--2)^2+(1--4)^2}[/tex]

Ofc, you gotta keep in mind of any double negatives

D=[tex]\sqrt{(1+2)^2+(1+4)^2}[/tex]

3. simplify

D=[tex]\sqrt{(3)^2+(5)^2}[/tex]

D=[tex]\sqrt{9+25}[/tex]

D=[tex]\sqrt{34}[/tex]

The square root of 34 is 5.83095189.... in decimal form

4. Round it to the nearest tenth

5.83 and since 3 is lower than five, it does nothing

5.8= The length of your line segment!

The answer is W (2,2) because you multiply the coordinates of the midpoint by 2 and then get the coordinate of W

Answer:

im pretty sure its 2

Step-by-step explanation:

300/60 is 5 so that would be a 5 hr car ride and since there isnt a 6th hour i think it would be 2

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

C(0) means that the cost of producing 0 thousand pen is $2,900

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

C(2) means that the cost of producing 2 thousand pens is $18,900

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

C(4) means that the cost of producing 4 thousand pens is $35,700

Answer:

19

Step-by-step explanation:

Answer:

19 birds

Step-by-step explanation:

a flock of 9 geese=19

10+19=19 birds

Answer:

Step-by-step explanation:

Use the first two points to get a formula of the line E(5, 12), F(-1, 8)

m is found using two points as:

The formula becomes:

Then we find the value of b using one of the points. Let's use point E(5, 12)

So the formula now is:

To find the missing coordinate we substitute x with 2 and y with k:

Answer:

k = 10

Hope it helped:D

Answer:

0.5%

Step-by-step explanation:

The prevalence rate shows the proportion of people that have a disease in a population and to be able to calculate it, you have to divide the number of people that have a disease by the population:

Prevalence rate=(5/1,000)*100

Prevalence rate=0.005*100

Prevalence rate=0.5%

According to this, the answer is that if there are five cases of H1N1 in the community of 1,000 people, the prevalence rate is 0.5%.

Answer:

B

Step-by-step explanation:

Since T is at the midpoint of SU, then

ST = TU , substitute values

8x = 3x + 20 ( subtract 3x from both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Thus

ST = 8x = 8(4) = 32

Answer:

Step-by-step explanation:

a composite number is a whole number with three or more factors.

C is the correct answer

Answer:

c

Step-by-step explanation:

Answer: option C

d = 56t

d = 60t - 2

Step-by-step explanation:

Answer:   d = 56t

                d = 60t – 2

Step-by-step explanation:

Edginuity 2021

Answer:

Prove if certain shapes fit the criteria, and if they are congruent or not

Step-by-step explanation:

Geometric proofs prove if certain shapes are congruent, whether they are not. They can also prove if sides are equal when values are not given, if a certain shape fits certain criteria, and can prove the length of certain lines when the values are not given.

Answer:

See below

Step-by-step explanation:

As per the graph we have:

Slope formula is:

Slope of JL:

Slope of MP:

Answer:c

Step-by-step explanation:

Area = side squared

625 = side squared

side = sqrt 625

side = 25 m

perimeter = 4 x side

perimeter = 100 m

Answer:

100 meters

Step-by-step explanation:

In order to calculate the perimeter, we must have the side length.

The area of a square can be found using the following formula.

[tex]a=s^2[/tex]

We know the area is 625 square meters. We can substitute 625 m² in for a.

[tex]625 m^2=s^2[/tex]

We want to find the side length, s. Therefore, we must isolate s. s is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

[tex]\sqrt{625m^2}=\sqrt{s^2}[/tex]

[tex]\sqrt{625m^2}=s[/tex]

[tex]25 m=s[/tex]

The perimeter of the square can be found using the following formula.

[tex]p=4s[/tex]

We know the side length is 25 meters. We can substitute 25 m in for s.

[tex]p =4*25m[/tex]

Multiply.

[tex]p=100m[/tex]

The perimeter of the field is 100 meters.

Answer:

$5.25

Step-by-step explanation:

To find the percentage of something, we can simply multiply it by its decimal equivalent. 15% means that it is 15/100 of the bill, because percent is out of 100, and 100% of it, is just the original ($35). To convert to a decimal we divide 15 by 100, which gives u: 0.15

It is still 15%, it is just now out of 1.

1 is 100%, which makes sense because 35x1=35

So, to find %15, we can do 35x0.15=5.25

Sue left a tip of $5.25

Alternatively, (but ultimately the same method), you can start by dividing 35 by 100 to get 1%. 35/100=0.35, 0.35 is 1% of 0.35

And then just multiply that 1% by 15 to get 15%

0.35 (the 1%) x 15 = 5.25 (15%)

Hope this helped!

Feel free to ask any other questions :)

Answer:

17.76

Step-by-step explanation:

0.44 x 4 = 1.76

4 x 4 = 16

16+1.76=17.76

Answer:

[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]

Step-by-step explanation:

Given

[tex]A(x_1,y_1) = (2,-1)[/tex]

[tex]B(x_2,y_2) = (4,2)[/tex]

Required

Partition = 1:3

Here, we'll make use of the following formula:

[tex]C(x,y) = (\frac{nx_1 + mx_2}{m + n},\frac{ny_1 + my_2}{m + n})[/tex]

Where

[tex]m:n = 1:3[/tex]

Substitute values for m,n,x1,x2,y1 and y2

[tex]C(x,y) = (\frac{3 * 2 + 1 * 4}{1 + 3},\frac{3 * -1 + 1 * 2}{1 + 3})[/tex]

[tex]C(x,y) = (\frac{10}{4},\frac{-1}{4})[/tex]

Answer:

Yes

Step-by-step explanation:

Yes it is possible to get the same output by providing two different inputs in a solution.

For example :

Let a function, [tex]$y = x^2 $[/tex]  ......(1)

Case 1

let x = -2, putting the value of x in equation (1), we get

[tex]$y = x^2 $[/tex]

[tex]$y = (-2)^2 $[/tex]

   = 4

Case 2

let x = 2, putting the value of x in equation (1), we get

[tex]$y = x^2 $[/tex]

[tex]$y = 2^2 $[/tex]

  = 4

Therefore, for both the different input (x), we get the same output (y).

Answer:

-1

-Step-by-step explanation:

Given :

Original price , P .

Discount given , 35 % .

To Find :

The final discounted price of the object .

Solution :

Let final price is x .

Now , x = p - (35% of p) .

[tex]x=p-\dfrac{35}{100}p\\\\x=0.65p[/tex]

Therefore , final price of the object is 0.65p ,

Hence , this is the required solution .