What is the length of this downhill track?​

[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]

Let the number be x

Therefore,

Another number be x + 5

According to the question,

[tex]\sf{ x + ( x + 5 ) = 25}[/tex]

[tex]\sf{ x + x + 5 = 25}[/tex]

[tex]\sf{ 2x + 5 = 25}[/tex]

[tex]\sf{ 2x = 25 - 5}[/tex]

[tex]\sf{ 2x = 20 }[/tex]

[tex]\sf{ x = 20/2}[/tex]

[tex]\sf{ x = 10 }[/tex]

Thus, The first number is 10

Therefore,

Another number will be

[tex]\sf{ = x + 5 }[/tex]

[tex]\sf{ = 10 + 5 }[/tex]

[tex]\sf{ = 15 }[/tex]

[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]

Answer:

2325 mL

Step-by-step explanation:

Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:

4x/15 = 620

4x = 9300

x = 2325

Thus the tank can contain a maximum of 2325 mL.

The maximum area that David can have is  10,000 yd^2

The formula for calculating the area of a rectangle is expressed as:

A = lw

If David has 400 yards of fencing, then;

P = 2(l +w)

400 = 2( l+ w)

200 = l + w

l = 200 - w

Substitute into the area

A = (200-w)w

A = 200w - w^2

If the area is maximized, then;

dA/dw = 0
dA/dw = 200 - 2w

2w =200

w =  100 yards

Recall that;

200 = l + w

l = 200 - 100

l = 100

The maximum area = 100 * 100

The maximum area = 10,000 yd^2

The maximum area that David can have is  10,000 yd^2

Learn more on area of rectangle here: https://brainly.com/question/2607596

Answer:

k = 2

Step-by-step explanation:

We'll need the Midpoint Formula:  the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex].  In other words, average the x's, then average the y's.

The midpoint of a diameter is the centre of the circle!

The midpoint of the segment joining (-3, 2k) and (5, k) is

[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]

That last expression is the centre of the circle; it is the same as (1, 3).

[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]

Answer:

a)

b) 1/3

c) 1/2

d) 1/2

e) 0

Step-by-step explanation:

a) There are 2 different types of dessert and 3 different ice cream flavors.      

   Therefore, there are 6 possible ice cream orders:

b) There are 2 different desserts with apricot ice cream.

⇒ P(apricot ice cream) = 2/6 = 1/3

c) There are 3 combinations of sundae.

⇒ P(sundae) = 3/6 = 1/2

d) P(chocolate) = 2/6 = 1/3

   P(blackberry waffle cone) = 1/6

⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2

e) P(orange sherbet) = 0

as orange sherbet was not an option!

Step-by-step explanation:

A pattern is a series or sequence that repeats.

Math pattern are sequences to calculate or

solve a problem.

Answer:

1.02 is the simplified answer and 102% is the answer to the next one

Step-by-step explanation:

The expression p+0.02p can also be written as 1p+0.02p.

To combine like terms, add the coefficients.

1+0.02=1.02, so 1p+0.02p=1.02p.

Answer: 20

Step-by-step explanation:

We set up the equation.

Let the number = x

x-0.3*x = 14

0.7x = 14

x = 20

Answer:

[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]

STEP BY STEP EXPLANATION

[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]

To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]

Answer:

Step-by-step explanation:

Given:

Consider the identity:

We can see that:

We can work out the value of b:

Then we are missing b², what needs to be added:

Answer:

Step-by-step explanation:

diameter = 2 * radius           Divide by 2

radius = diameter /2

Formula

Volume_sphere = 4/3  pi r^3

Givens

r = 10 yards

Solution

Volume = 4/3 * 3.14 * 10^3

Volume = 4.1867*10^3

Volume = 4186.7 yards^3

Answer:

D

Step-by-step explanation:

11x + 14 < -8

Cancel the addition by subtracting

11x + 14 - 14 < -8 - 14

11x < -22

11x / 11 < -22/11

x < -2

Therefore, the answer is D

Answer:

  15/16

Step-by-step explanation:

For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.

Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.

The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__

Additional comment

The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.

As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.

Answer: Part A: 1/26 or 0.38

Part B: 1/59 or 0.017

Step-by-step explanation:

Answer:

132 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.

Step-by-step explanation:

See picture above for solution.

Answer:

yes, 240 cm is equal to 2.4 meters

Step-by-step explanation:

16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.

Answer:

240 cm

Step-by-step explanation:

multiply 16cm by 15 train cars to get 240 cm.

hope this helps and pls mark brainliest

Answer:

Spell spell?

Step-by-step explanation:

Answer:

Reading, using a dictionary and playing online word games are all helpful. 

Step-by-step explanation:

read.

Communicate.

Learn.

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution .

Answer:

There are 2 solutions because the square root of any positive real number will give us both a positive and negative number as a solution.

Step-by-step explanation:

[tex](x-4)^2-28=8[/tex]

Add 28 to both sides:

[tex]\implies (x-4)^2=36[/tex]

Square root both sides:

[tex]\implies x-4=\pm 6[/tex]

[tex]\implies x=10, x=-2[/tex]

Answer:

Slope= 3/-1 or -3

Step-by-step explanation:

-2-1= 3

8-  -1= 9

Answer:

Step-by-step explanation:

Answer:

690.8

Step-by-step explanation:

I've done this one before

Answer:

690.8 sq units

Step-by-step explanation:

Surface Area(cyl) = 2πrh+2πr²

SA = 2(3.14)(5)(17) + 2(3.14)5²

SA = 6.28(85) + 25(6.28)

= 533.8 + 157

= 690.8

13% of $4000 is $520
If the $4000 car loses value at a rate of 13% each year for 3 years
$520 x 3 = $1560
Subtract this amount from $4000
$4000 - $1560 = $2440

Answer: In 3 years, the used car will be worth $2440 in 3 years

Step-by-step explanation:

hint base x height

or length x width

Answer:

  30

Step-by-step explanation:

Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.

The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...

  (2.00)(12d) -(0.90)(12d) = 396.00

  1.10d = 33 . . . . . divide by 12, combine terms

  d = 30 . . . . . . . divide by 1.10

30 dozen balls of each brand were ordered.

Answer:

w = 9

Step-by-step explanation:

18 + 4w = 6w

6w - 4w = 2w

2w = 18

18/2 = 9

2w/2 = w

w = 9

[tex]\large\textbf{Hey there!}[/tex]

[tex]\large\textbf{18 + 4w = 6w}\\\large\textbf{4w + 18 = 6w}\\\large\text{SUBTRACT 62to BOTH SIDES}\\\large\textbf{4w + 18 - 6w = 6w - 6w}\\\large\text{SIMPLIFY IT!}\\\large\textbf{-2w + 18 = 0}\\\large\text{SUBTRACT 18 to BOTH SIDES}\\\large\textbf{-2w + 18 - 18 = 0 - 18}\\\large\text{CANCEL out: 18 - 18 because it give you 0}\\\large\text{KEEP: 0 - 18 because it help solve for the w-value}\\\large\text{NEW EQUATION: \bf -2w = 0 - 18}\\\large\text{SIMPLIFY IT!}\\\large\textbf{-2w = -18}[/tex]

[tex]\large\text{DIVIDE -2 to BOTH SIDES}\\\mathbf{\dfrac{2w}{-2}= \dfrac{-18}{-2}}\\\large\text{CANCEL out:} \rm\dfrac{-2}{-2}}\large\text{ because it give you 1}\\\large\text{KEEP: }\rm{\dfrac{-18}{-2}}\large\text{ because it gives you the w-value}\\\large\text{NEW EQUATION: \bf w = }\rm{\bf \dfrac{-18}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textbf{w = 9}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{w = 9}}}\huge\checkmark[/tex]

[tex]\large\textbf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Mark the theorem below

Here

Now

Answer:

least to greatest: ∠I < ∠J < ∠H

Explanation:

angle I:

cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]

I = [tex]cos^{-1} (\frac{3}{4} )[/tex]

I = 41.41°

angle H:

cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]

H = [tex]cos^{-1} (\frac{1}{8} )[/tex]

H = 82.82°

angle J:

cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]

J = [tex]cos^{-1}(\frac{9}{16} )[/tex]

J = 55.77°

They sum up to 180°, so the steps are correct.

Sorry,

Neither of these are radical expressions.

Traits of a radical expression:

Answer:

sorry I don't know.

Step-by-step explanation:

I don't know but I k ow how you feel

Answer:

The length is 30 and the width is 15

Step-by-step explanation:

i dont really know how i got this. T.T sorry i did it in my head but my answer has ro be right hope this helps