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zlopas [31]
2 years ago
13

What is the quotient in simplest form?

Mathematics
1 answer:
aliina [53]2 years ago
7 0

Answer:4/7

Step-by-step explanation: cross-canceling helps

12/7×1/3

4/7×1/1=4/7

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Simplify completely the quantity 4 times x to the third power plus 5 times x to the 2nd power plus 3 times x all over x. (2 poin
ikadub [295]

Answer:   4x² + 5x + 3

<u>Step-by-step explanation:</u>

\dfrac{4x^3+5x^2+3x}{x}\\\\\\=\dfrac{x(4x^2+5x+3)}{x}\qquad \text{factored out the common term from the numerator}\\\\\\=4x^2+5x+3\qquad \text{canceled out x from numerator and denominator}

8 0
3 years ago
Joseph walks his dog 4 times a day to make sure he gets enough exercise. If he walks his dog 2/3 of a mile each time he walks hi
charle [14.2K]

Answer:

18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.

7 0
3 years ago
Ax+bx-c=0 x= _/(a __)
Ulleksa [173]
Ax+bx−c=0

Step 1: Add c to both sides.

ax+bx−c+c=0+c

ax+bx=c

Step 2: Factor out variable x.

x(a+b)=c

Step 3: Divide both sides by a+b.

x(a+b)a+b=ca+b

x=ca+b

4 0
3 years ago
Read 2 more answers
8x6+(12-4)/2 equal what is sum???
algol13
8 \times 6 + \dfrac{(12-4)}{2}

=48+  \dfrac{8}{2}

=48 +  4

=52
8 0
3 years ago
Read 2 more answers
23. The pilot of a small private plane can look forward and see the control tower for a small airstrip.
Alex73 [517]

Answer:

Altitude of the plane is 0.5 miles.

Step-by-step explanation:

From the figure attached,

An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.

Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.

We have to calculate the airplane's altitude h.

From ΔABF,

tan4.1 = \frac{AB}{BF}=\frac{h}{(x+4.8)}

h = 0.07168(x + 4.8) -----(1)

From ΔABD,

tan13.1 = \frac{h}{x}

h = 0.2327x -----(2)

From equation (1) and (2),

0.07168(x + 4.8) = 0.2327x

0.2327x - 0.07168x = 4.8×0.07168

0.161x = 0.344

x = \frac{0.344}{0.161}=2.14 miles

From equation (2),

h = 0.2327×2.137

h = 0.4972 miles

h ≈ 0.5 miles

Therefore, 0.5 miles is the altitude of the plane.

6 0
3 years ago
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