Answer:
11
Step-by-step explanation:
first (x-5) you would substitute x for 11 then subtract 5. next you would multiple by 2 and your answer would be 12
Answer:
The answer is V= (
) (
) (2x+7).
Step-by-step explanation:
To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V =
h.
Answer:
68
Step-by-step explanation:
Let:
Number of girls invited = x
Number of boys = x +20
3/4 of boy showed up
2/3 of girls showed up
Exactly 19 did not show up
Therefore, we could say:
Fraction of boys that didn't show up = 1 - 3/4 = 1/4
Fraction of girls that didn't show up = 1 - 2/3 = 1/3
That is,
[1/4 *(x + 20)] + [1/3*x] = 19
[(x + 20) / 4] + x /3 = 19
(3(x + 20) + 4x) / 12 = 19
3x + 60 + 4x = 228
7x = 228 - 60
7x = 168
x = 168 / 7
x = 24
Number of girls, x = 24
Number of boys, x + 20 = 24 + 20 = 44
Total friends invited = (24 + 44) = 68
Answer:
<h2>90°</h2>
Step-by-step explanation:
First you must calculate the module or the magnitude of both vectors
The module of u is:

The module of v is:

Now we calculate the scalar product between both vectors

Finally we know that the scalar product of two vectors is equal to:

Where
is the angle between the vectors u and v. Now we solve the equation for 

the answer is 90°
Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °
50 divided 2/3
50 x 3/2 = 150/2
= 75