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Dimas [21]
3 years ago
14

On a map, 1 cm = 5 km. The distance between the shopping mall and the movie theater measures 6.7 cm. What is the actual distance

between the mall and movie theater?
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

33.5 km

Step-by-step explanation:

1/5 = 6.7/x

cross multiply and solve

5 × 6.7 = 33.5

Fynjy0 [20]3 years ago
6 0

Answer:

33.5 km

Step-by-step explanation:

If 1cm = 5km, then you multiply 6.7 by 5 to get distance, which would be 33.5 km.

(hope this helps :P)

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In 2 mins., a conveyor belt moves 300 lbs. Of recycle aluminum from delivery truck to a storage area. A smaller belt moves the s
kodGreya [7K]

Answer:

1.8 minutes or 108 seconds

Step-by-step explanation:

The question tells us that the larger belt moves 300 lbs in 2 mins. And this is equal to 150 lb per minute

The question also tells us that a smaller belt moves the same quantity of 300 lbs in 18 mins. And this is equal to an average of 16.667 lb per min.

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6 0
3 years ago
Question 14
Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact  same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

6x+y=-1\\y=-6x-1

second equation:

-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0
3 years ago
A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop
BARSIC [14]

Answer:

around 6.6 years

Step-by-step explanation:

41,500=14,000*.45*x

41,500=6,300*x

41,000/6,300=x

6.5873=x

6.6=x

hope this helps!

3 0
3 years ago
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