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3 years ago

Write the converse of this statement. If 3 - 2x = 13, then x = -5.

Mathematics

1 answer:

stiv31 [10]3 years ago

5 0

Basically your just swapping there positions like so:
if x=-5, then 3-2x=13
Hope this helps! :)

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Help this is due in 2 minutes

IgorLugansk [536]

Answer:

6% growth

Step-by-step explanation:

The equation =

A = 2300(1.06)⁷

What does 0.06 represent in the equation?

The formula for Exponential growth =

y = a (1 +r)^t

Where

y = Size after time t

a = Initial size

r = Growth rate in Percentage

t = Time t

Equating both Equations together

y = a (1 +r)^t = A = 2300(1.06)⁷

1 + r = 1.06

r = 1.06 - 1

r = 0.06

Converting to percent

r = 0.06 × 100

r = 6% growth rate

8 0

3 years ago

The scale on a map is 1/2 inch = 80 miles. how far apart are two cities that at 4 3/4 inches apart on the map?

notka56 [123]

760 miles
4.75/.5=9.5x80=760

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3 years ago

In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the touri

Leto [7]

Answer:

585

Step-by-step explanation:

This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.

80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...

260/20% = 1300 . . . tourists surveyed

Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...

45% × 1300 = 585

The number of tourists who have been to India, but not China, is 585.

7 0

2 years ago

A stereo system is being installed in a room with a rectangular floor measuring 15 feet by 11 feet and a 10-foot ceiling. The s

Likurg_2 [28]

Answer:

Shortest length of wire = 28.60 feet

Step-by-step explanation:

<u>Distances In Rectangular Objects </u>

If we want to go from one point in space to another one, the shortest possible distance is through a line. But if we are not allowed to, we must try to use as many direct paths as possible to minimize the distance.

In our case, the minimum distance will be going right from one corner to the other through the air, but we must use walls and floor. So our choices are limited to shorten the distance as much as possible by taking paths from corners whenever it's possible.

Starting from the corner where the stereo system is located, we must try to reach the other corner by using one of these options

Cross the floor by its diagonal and then go right to the other corner in the ceiling
Cross one wall by its diagonal and then go to the other corner. It can be done for each adjacent wall to the stereo system.

If we try the first option first, the diagonal of the floor measures

$\displaystyle \sqrt{15^2+11^2}$

And now we reach the other corner, traveling a total distance of

$\displaystyle L_1\sqrt{15^2+11^2}+10$

$\displaystyle L_1=28.60\ {ft}$

Trying one of the adjacent walls

$\displaystyle L_2=\sqrt{15^2+10^2}+11$

$\displaystyle L_2=29.028\ feet$

And the final option is

$\displaystyle L_3=\sqrt{10^2+11^2}+15\ feet$

$\displaystyle L_3=29,87\ feet$

We can see the first is the shortest distance, so to reach the speaker we must cross the floor by its diagonal and the go up to the speaker

Note: Each of the options analyzed have a identical counterpart by taking the opposite side first. For example, the path floor-wall could have been done as wall-ceiling, with identical results

4 0

3 years ago

Which segment does NOT intersect line AG? Please help.

Lina20 [59]

Answer:

line BC

Step-by-step explanation:

Line BC is the only line that doesn’t touch line AG

4 0

2 years ago