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AlexFokin [52]
3 years ago
12

A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

Answer:

2.25 km

Step-by-step explanation:

Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map

  1. 2cm=0.5km

9cm=?

  • (9cm×0.5km)÷2cm

  • 4.5km(cm)÷2cm
  • 2.25 km

NOTE: since the cm are the same they will cancel each other out in the division stage

Nastasia [14]3 years ago
4 0

Answer: 2.25 km

Step-by-step explanation:

2 cm = 0.5 km

9 cm = (9 x 0.5)/2

= 2.25 km

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Answer:

Option C is correct.

Alex earned about $60 more than Joaquin did.

Step-by-step explanation:

The linear regression equation

y = 0.18 x + 320.22

is used to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise.

Joaquin sold $1500 worth of goods. Meaning that x for that week for Joaquin is 1500.

Joaquin' s salary for that week is then given as

y = 0.18x + 320.22

y = 0.18(1500) + 320.22 = 590.22

Hence, Joaquin's salary for that week = $590.22

Alex earns $650 that week. Meaning that y for Alex in that week = 650

y = 0.18x + 320.22

650 = 0.18x + 320.22

0.18x = 650 - 320.22 = 329.78

x = (329.78/0.18) = 1832.1

Hence, Alex sold goods worth $1832.1 that week.

Joaquin sold goods worth $1500

Joaquin earned $590.22

Alex sold goods worth $1832.1

Alex earned $650

From this calculation, it is evident that 'Alex earned about $60 more than Joaquin did' is the correct option as $650 is about $60 more than $590.22

Hope this Helps!!!

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3 years ago
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An arithmetic sequence with a thrid term of 8 and constant difference of 5
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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
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d=\textit{common difference}\\
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d=5\\
a_3=8\\
n=3
\end{cases}
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kykrilka [37]

Answer:

Both (-2,6) and (4,12) are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug (-2,6) into y=x+8

(6) = (-2)+8 = 6

The solution verifies the equation.

Step 2: Plug (-2,6) into 2y=x^2 + 8

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The solution verifies both equations. Therefore, (-2,6) is a solution to this system.

Now we must check if the second point is also valid.

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Answer:

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The correct answer is 6,840 meters. Hope this helps! ;)
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