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umka2103 [35]
3 years ago
8

What is the scale if: 3.2 cm on the map correspond to 4 km in the actual distance?

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Scaling on map is defined as the ratio of a distance on the map to the corresponding distance on the ground.

Here, 3.2 centimeters on the map is equivalent to 4 kilometers.

We can use unitary method to find, how many kilometer/kilometers each centimeter corresponds to.

Using the unitary method:

3.2 cm=4 km

1 cm=\frac{4}{3.2} =1.25km

Therefore, the scale of map represents 1.25 kilometers for each centimeter.

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You'd want to simplify that by dividing both terms by the greatest common factor which is the product of the shared primes of both numbers prime factorization...

364=2*2*7*13, 78=2*3*13, so the GCF is 2*13=26, now divide both terms by 26

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3 years ago
How much is 79tens plus 10 tens in standard form
IrinaVladis [17]
Is it 79 sets of ten or 79 tenths
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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
inysia [295]
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):

5x + 10y = 725
x + y = 100

By substitution, we get:

5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55

100 - 55 = 45

Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.

To verify, plug and chug the results back into the original equations:

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4 0
3 years ago
Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of​ sales, 16% on the next $7500 of​ sales, a
Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 ​= $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of​ sales, 16% on the next $ 7500 of​ sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0
3 years ago
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