What fraction is equivalent to 1/3<br><br> 3/6, 4/6,2/6,1/6

n a particular day, the wind added 2 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 2 miles p

goldfiish [28.3K]

Recall your d = rt, or distance = rate * time

notice, the time he took to cover 63 miles with the wind, is the same amount of time he took against it with 51 miles only, let's say, he took "t" hours long
and he was cycling at a rate of "r"

thus $\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
\textit{with the wind}&63&r+2&t\\
\textit{against the wind}&51&r-2&t
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
63=(r+2)t\implies \cfrac{63}{r+2}=\boxed{t}\\\\
51=(r-2)t\\
----------\\
51=(r-2)\left( \boxed{\cfrac{63}{r+2}} \right)
\end{cases}$

solve for "r"

8 0

4 years ago

Find the balance in the account. $800 principal earning 7%, compounded annually, after 4 years

SVETLANKA909090 [29]

The amount A after 4 years is given by:
$A=800(1.07)^{4}=1048.64$
The answer is $1,048.64 rounded up to the nearest cent.

4 0

4 years ago

Read 2 more answers

* Jenny marked on a coordinate plane all points with the first coordinate an integer between −12 and 7 and the second coordinate

Nat2105 [25]

Answer:

Jenny marks 414 different points on the coordinate plane.

Step-by-step explanation:

A point on a coordinate plane is represented by (x, y)

The possible values of x include all the integers between -12 and 7; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6.

The possible values of y include all the integers between -12 and 12; that is,

-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

This means that each x-value can take on each y-value.

There are 18 x-values and 23 y-values.

Each x-value can form 23 different coordinates with all the available y-values.

18 x-values will form 18 × 23 different coordinates with the all the available y-values.

The total number of points that Jenny marks = 18 × 23 = 414.

Hope this Helps!!!

5 0

3 years ago

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

3 years ago

Write the equation that represents the line graphed below

rodikova [14]

Answer:

(2,-6)

Step-by-step explanation:

If it's not that then(-6,2)

But if it's not either i'm sorry

7 0

3 years ago

What fraction is equivalent to 1/3 3/6, 4/6,2/6,1/6