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AfilCa [17]
4 years ago
12

You work for the city recreation department, which is hosting a 5 kilometer run/walk next week. Your coworker measured the cours

e and found that it is only 4.75 kilometers long. He asks you to move the finish line forward 0.25 kilometers. Your tape measure is marked in feet and inches. What is the distance he has asked you to move the finish line, to the nearest foot?
Mathematics
1 answer:
lubasha [3.4K]4 years ago
8 0
We have to convert the distance of 0.25 kilometers into feet. First, we convert 0.25 kilometers into meters. Since 1 kilometer has 1000 meters, we multiply 0.25 km by 1000 m/km to get 250 m. Next, 1 foot has 0.3048 m, so we divide the 250 meters by 0.3048 m/ft to get the number of feet, which is 820.21 ft.
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If ax - 7=b(x+2). then x =
ale4655 [162]

x=\frac{2b+7}{(a-b)}

Explanation

ax-7=b(x+2)

Step 1

apply distributive property to eliminate the parenthesis

\begin{gathered} ax-7=b(x+2) \\ ax-7=bx+2b \end{gathered}

Step 2

add 7 in both sides

\begin{gathered} ax-7=bx+2b \\ ax-7+7=bx+2b+7 \\ ax=bx+2b+7 \\  \end{gathered}

Step 3

subtract bx in both sides

\begin{gathered} ax=bx+2b+7 \\ ax-bx=bx+2b+7-bx \\ ax-bx=2b+7 \\ \text{factorize x} \\ x(a-b)=2b+7 \end{gathered}

Step 4

finally, divide both sides by (a-b)

\begin{gathered} \frac{x(a-b)}{(a-b)}=\frac{2b+7}{(a-b)} \\  \\ x=\frac{2b+7}{(a-b)} \end{gathered}

7 0
1 year ago
What is the length of the diagonal of a rectangle whose width is 90 cm and whose length is 200 cm? (Round your answer to the nea
Volgvan

Answer: the answer is c.

Step-by-step explanation: Let W, L and D = the width, length and diagonal of the rectangle, respectively.  

Then, by the Pythagorean theorem,  

W^2 + L^2 = D^2

<=>

D = sqrt(W^2 + L^2)

= sqrt(90^2 + 200^2)

= sqrt(48100)

= 10 sqrt(481)

None of the choices offers an exact solution. However, an approximate solution is:  

10 sqrt(481) ≈ 219.317,  

which rounds to 219, so the closest answer is C.

8 0
4 years ago
#17-7: Kieth makes a 27% commission on every cup of coffee he sells at the coffee shop. Today he sold 15 coffees at $3.25 each.
Rus_ich [418]

Answer:13.16$

Step-by-step explanation:

since he makes 27% for every single cup

Then 0.27*3.25= 0.88$ the comission for a single cup

Since he sold 15 cups

Then 15*0.88=13.16$

5 0
4 years ago
PLEASE HELP!!!!!!!!!!!
san4es73 [151]

9514 1404 393

Answer:

  a.  plane DEA

Step-by-step explanation:

A plane can be named by naming any 3 non-collinear points in the plane, or by using the plane's name as indicated in the drawing.

Here, points in the plane are A, D, E, F, with DEF all on  the same line. So A plus any two points from the line will constitute a name for the plane. Also, this plane is identified with a script M that can be used to name the plane.

M is not an answer choice, but DEA is. So, the appropriate choice is ...

  plane DEA

__

F is a point, not a plane name. C is not on the plane, so cannot be used to name it. 'k' is a line name, not a plane name.

8 0
3 years ago
Cuanto es 5 kilos en libras ?
Volgvan

Answer:

11.02

Step-by-step explanation:

6 0
3 years ago
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