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3 years ago

13

1/3 if the guests choose beef 5/12 of the guests choose chicken and 23 of the guest choose vegetarian how many guests were at th

e wedding

2 answers:

My name is Ann [436]3 years ago

4 0

The answer is 92 but i don't know how to explain it...

Juliette [100K]3 years ago

4 0

4/12 +5/12= 9/12 = 3/4
Vegetarian = 1/4
x/4 =23
(4 times 23 = 92)
x= 92 guests

That is how you get the answer 92

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Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Describe the transformations of the following function. y=tan(2x-π)

Romashka [77]

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

y = tan(2x - π)

y = tan (2*(x-π/2))

We can compare it to its parent function

g(x) = tan(x)

The answer is

Option a.

Horizontal shrink by 1/2 and horizontal shift of π/2 to the right

7 0

3 years ago

A light bulb in Maya's house uses 9.4 watts of electric power each minute it is on. If the light bulb used a total of 6.58 watts

tamaranim1 [39]

Answer:

0.7 minute

Step-by-step explanation:

Given that each (1) minute a light use 9.4 watts.

So If the light bulb used a total of 6.58 watts, the minutes was on it is:

$\frac{The total watts used}{The watts used each minute}$

= $\frac{6.58}{9.4}$

= 0.7 minute

So the the minutes was on it is 0.7

Hope it will find you well!

4 0

3 years ago

Write an equation of a line in slope-intercept form if the slope is ½ and the y-intercept is -2.

Serjik [45]

Y = mx + b

y = 1/2x - 2

HOPE THIS HELPS!!!!!!

7 0

3 years ago

Consider the following set of equations, where s, s0, x and r have units of length, t has units of time, v has units of velocity

Anna11 [10]

Answer:

5

Step-by-step explanation:

For an equation to be dimensionally correct the dimension of quantities on both sides of equation must be same.

Also, two physically quantities can only be added or subtracted only when their dimension are same.

here all option are dimensionally correct except the 5th option where

dimension of t= [T] whereas dimension of a/v is $\frac{LT^{-2}}{LT^{-1}}$

= T^{-1}

since, the dimension of quantities on either sides of equation are not the same the equation is dimensionally is incorrect.

8 0

3 years ago