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Strike441 [17]
4 years ago
15

A map has a scale of 2cm= 5km. The distance between two cities on the map is 31.2cm.what is the actual distance between the citi

es
Mathematics
1 answer:
kykrilka [37]4 years ago
7 0

Answer:

78 km

Step-by-step explanation:

the statement tell us:

2cm= 5km.

so we need to find 31.2cm in the given scale (km)

we multiply 31.2cm by 5km

and divide the result by 2cm

as follows

31.2cm*5km=156cm*km

156cm*km/2cm=78km

finally the answer is 78 km

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Question 1.
Archy [21]

Answer:

1. f(x) = g(x - 4)

2. g(x) = f(x + 4)

3. y = (-3/2)x + 4

4. y = (-3/2)x - 2

Step-by-step explanation:

1. Notice that the point (0, -2) lies on g(x) and the point (4, -2) lies on f(x). That means the translation function from g(x) to f(x) is 4 units to the right. So, we have: f(x) = g(x - 4).

2. This one is kind of the opposite of number 1; g(x) is 4 units to the left of f(x), so we have: g(x) = f(x + 4).

3. Slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept. Slope is change in y over change in x, so pick any two points on the line of f: (0, 4) and (4, -2).

slope = m = (4 - (-2)) / (0 - 4) = 6/(-4) = -3/2

The y-intercept is where the graph crosses the y-axis, which is (0, 4), so b = 4. Then:

y = (-3/2)x + 4

4. Pick any two points to find the slope: (-4, 4) and (0, -2).

slope = m = (4 - (-2)) / (-4 - 0) = 6/(-4) = -3/2

The y-intercept is at (0, -2), so b = -2. Then:

y = (-3/2)x - 2

7 0
4 years ago
Read 2 more answers
A rabbit can run 35 miles per hour. A fox can 21 miles in half an hour. Whick animal is faster, and by how much
gavmur [86]
Answer: the fox runs faster
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3 years ago
In a survey , rajveer asked 110 people whether they were employed or unemployed.
storchak [24]

Answer:

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Step-by-step explanation:

Create a two-way table with the given information:

\begin{array}{| c | c | c | c |}\cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & & 59 \\\cline{1-4} \sf Women & & &  \\\cline{1-4} \sf Total & 84 & & 110 \\\cline{1-4} \end{array}

Fill in the blanks in the table using <u>mathematical operations</u>:

⇒ Men unemployed = 59 - 40 = 19

⇒ Women employed = 84 - 40 = 44

⇒ Total women = 110 - 59 = 51

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⇒ Women unemployed = 51 - 44 = 7

\begin{array}{| c | c | c | c |}\cline{1-4} & \sf Employed & \sf Unemployed & \sf Total\\\cline{1-4} \sf Men & 40 & 19 & 59 \\\cline{1-4} \sf Women &44 & 7& 51  \\\cline{1-4} \sf Total & 84 &26 & 110 \\\cline{1-4} \end{array}

Reading from the table, 7 women responded that they were unemployed.

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Step-by-step explanation:

pleas check my answer

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and you can simply solve that for "x"
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