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nikdorinn [45]
3 years ago
7

The ratio of pants to shots that John has is 2:3. If John has 8

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

12 shirts

Step-by-step explanation:

Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.

Check:

2/3 is equivalent to 8/12

Hope this helps :)

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along
jasenka [17]

Answer:

Dy/dt = 11.67 ft/s

Step-by-step explanation: See Annex

In Annex, Triangles ACE and BCD are similar then, we can write

( y- x ) / y  =  6 / 15

15*y -15*x  =  6*y

15*y - 6*y = 15*x

9*y = 15*x

y = (15/9)*x

Differentiating with respect time on both sides of the equation we get

Dy/dt = (15/9) Dx/dt  (1)

Where we know Dx/dt = 7 ft/s, and according to (1)  Dy/dt does not depend on x (distance between man and the pole, only depend on the speed f the man

Dy/dt = (15/9) * 7

Dy/dt = 11.67 ft/s

6 0
3 years ago
The quotient of a number and five is eleven. Find the number
alexandr1967 [171]

Answer:

x=55

Step-by-step explanation:

x/5=11

11x5=55

x=55

5 0
4 years ago
Read 2 more answers
Plz with steps .. it's very hard can anyone plz
liubo4ka [24]

Answer:

Step-by-step explanation:

\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a}  \qquad  f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a}  \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\  \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}}  }{\dfrac{1}{2\sqrt{x}} }\\\\

\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}  =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\

7 0
3 years ago
NEED HELP WILL MARK BRAINLEST
Marina CMI [18]

Answer:

103.27 degree

Step-by-step explanation:

You need to find the angle of the interior of the triangle first, and then find the exterior. Hope I helped!

3 0
3 years ago
I need help how to do this. Please help
earnstyle [38]
The best method would be to cross-multiply. Multiply the figure on the top left with the bottom right. Then set it equal to the multiplication of the bottom left with the top right.
This would turn into:
-1(x-1)=2(x+3)   Then distribute the multiplication through the parentheses.
-x+1=2x+6     Next, get all the variables on one side, and the integers on another.
2x+x=1-6
3x= -5
x= -5/3
8 0
3 years ago
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