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Len [333]
3 years ago
9

The numbers m, n, p, and q are all different, and each is equal to one of the numbers 1, 2, 3, 6, or 12. If 2m=6q=1/2n=p, what i

s the value of p? *
1 point
A. 2
B. 3
C. 6
D. 12
Mathematics
2 answers:
qwelly [4]3 years ago
8 0

Answer:

gngfn

Step-by-step explanation:

gnnf

andreev551 [17]3 years ago
6 0

Answer:

  C.  6

Step-by-step explanation:

We can write the pairwise ratios:

  q/m = 2/6 = 1/3

  q/p = 1/6

  q/n = (1/2)/6 = 1/12

Then we have ...

  q : m : p : n = 1 : 3 : 6 : 12

Each variable apparently has the value of its ratio units, so p = 6.

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In two or more complete sentences, define the key features of the graph below and explain how to write its equation using functi
Korolek [52]
The graph has a vertex at (3, -2). It extends upward from there linearly at a slope of -1 to the left and 1 to the right. It is the graph of an absolute value function. If we assume it keeps extending upwards the domain is all real numbers. (which is what i would assume even though there's no arrows it doesn't have decipherable endpoints). The range is y ≥ -2 with y -intercept (0,1), and x-intercepts: (5,0) & (1,0).

To write the equation for this function, I would acknowledge that it is the translation of the graph of the standard absolute value function: f(x) = |x| ; right 3 and down 2. Which would be to subtract 3 from x and subtract 2 from the end.
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5 0
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

4 0
2 years ago
Hi! I need Help <br> What is the answer to (-37) - (+14)<br> Negative 37 minus positive 14
Dimas [21]

Answer: -51 my friend

Step-by-step explanation:

5 0
3 years ago
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