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-Dominant- [34]
3 years ago
8

Solve 5(85) using mental math with the help of distributive properties

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

425

Step-by-step explanation:

Montano1993 [528]3 years ago
5 0

Answer:

5 x 85 = 425

Step-by-step explanation:

Using mental math

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A new library, L, is to be built at some point along a straight road, R, such that its distance from train station, T, is the sh
andreyandreev [35.5K]

Answer:

Coordinates of the new library is (150, 70)

Step-by-step explanation:

To get the shortest possible distance means that line from point T to point R has to be perpendicular.

Now, the equation of R is given as;

y = x - 80 - - - (1)

For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.

Thus, slope of T is -1/1 = - 1

Thus, using line - slope intercept of y = mx + c, we can find equation of T as;

140 = -1(80) + c

140 = -80 + c

c = 140 + 80

c = 220

Thus, equation is;

y = -x + 220 - - - (eq 2)

Adding equation 1 to equation 2,we have;

y + y = 220 - 80

2y = 140

y = 140/2

y = 70

Putting 70 for y in eq 1 gives;

70 = x - 80

x = 70 + 80

x = 150

Thus;

Coordinate of the new library is (150, 70)

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3 years ago
16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the a
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Step-by-step explanation:

Let U=universal set

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Answer:

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Step-by-step explanation:

First, let's find how many white loaves he baked.

Let's make a proportion.

white loaves/brown loaves= white loaves/brown loaves

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3/2=x/208

Now, we have to solve for x. To do this, we have to get x by itself. x is being divided by 208. To reverse this, multiply both sides by 208

208*3/2=x/208*208

208*3/2=x

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He baked 312 white loaves.

Now, we have to find the total number of loaves he baked.

To do this, add the brown loaves and the white loaves.

brown loaves+white loaves

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208+312

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He baked 520 loaves in total

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