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3 years ago

Evaluate x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

2 answers:

7 0

<span>remember that (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)

(2/3)/(6/7)+3(3)^2=
(2/3)(7/6)+3(9)=
(2*7)/(3*6)+27=
(14/18)+27=
(7/9)+27=
7/9+243/9=
250/9

answer is A

</span>

prohojiy [21]3 years ago

6 0

x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

=2/3 / 6/7 + 3(3^2)

=2/3 * 7/6 + 3(9)

= 7/9 + 27

= 7/9 + 243/9

= 250/9

answer is a. 250/9

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3 years ago

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Step-by-step explanation:

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3 years ago

The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

(c) Calculate, in km², the ACTUAL area of a lake which is 12 cm2 on the map.

Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

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3 years ago

The number of hours a typical student spends per week at school has an Order of Magnitude of 1.

Margarita [4]

If the number of hours in school each week is somewhere between 20 and 40, then it can be written in scientific notation as
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The exponent of 10 in each case is 1, so we can say the Order of Magnitude is 1.
TRUE

_____
In Engineering terms, the order of magnitude is sometimes considered to be the integer part of the base-10 logarithm of the number.
log(20) ≈ 1.3010
log(40) ≈ 1.6021
If we round these numbers to integers, we find the order of magnitude of the first is 1; the order of magnitude of the second is 2. Thus a student who spends 6 hours per day for 5 weekdays in class will have hours with an order of magnitude of 1, while a student who spends 7 hours per day for 5 days each week will have hours with an order of magnitude of 2. This question is best answered by considering "order of magnitude" in the simplistic terms of the answer above: the exponent of 10 in scientific notation.

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