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slega [8]
3 years ago
12

What is 3 1/2 times 5 2/3 equal to in simplest form?

Mathematics
2 answers:
mars1129 [50]3 years ago
5 0

3 1/2 x 5 2/3 = 19 5/6 or 19.83

Hope helps!-Aparri

VladimirAG [237]3 years ago
3 0

Answer:1 13\21

Step-by-step explanation:make the mixed numbers to improper fractions then multiply

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For each if the differential equation given in Exercises 1 to 12 find the General Solution. xLogx
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3 0
3 years ago
Pleeeeese help me as fast as you can!!!
Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

Therefore, the slope of the line is m=-\frac{1}{3}.

Now, for perpendicular lines, the product of their slopes is equal to -1.

Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
Which is the completely factored form of 3xsquared<br> -12x-15?
tekilochka [14]

Answer:

3(x - 5)(x + 1).

Step-by-step explanation:

3x^2 - 12x - 15

Dividing through by 3:

= 3(x^2 - 4x - 5)

We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:

3(x - 5)(x + 1).

7 0
3 years ago
Regina has 16 pencils. James has 3 times as many pencils as Regina.
serg [7]

Answer:

B

Step-by-step explanation:

16 + 16 + 16 = 16 x 3

16 x 3 = 48

16 + 16 = 32

32 + 16 = 48

5 0
3 years ago
In △ABC, BM is a median, △BMC is equilateral and MC = 3cm. Through M is drawn line l∥AB that intersects CB at point N. Find:
ruslelena [56]

Answer:

m∠ABC = 60°

The distance from C to AB = 3 cm

The distance from l to AB = 1.5 cm

Step-by-step explanation:

The median of ΔABC = BM

The length of MC = 3 cm

Type of triangle given as ΔBMC  = Equilateral triangle

Line MN is parallel to AB and passes through M intersecting CB at N

Given that BM is a median, we have;

MC = AM = 3 cm

BM  = MC = CB = 3 cm, from ΔBMC  = Equilateral triangle

CN = NB by midpoint theorem

∴ CB = CN + NB = 2·CN = 3 cm

The distance from C to AB = CB = 3 cm

The distance from C to AB = 3 cm

CN = 3/2 = 1.5

CN = NB = 1.5

The distance from l to AB = CN = 1.5 cm

The distance from l to AB = 1.5 cm

m∠ABC = m∠BMC = m∠MBC = 60° Interior angles of an equilateral triangle.

m∠ABC = 60°

6 0
3 years ago
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