Can someone explain to me how to do problems like x - 2/5 = 7
and x + 4/5 = 11? i don't really need the answers, i just can't understand : /// idk how to find the value of x s yea

x=37/5 ; x=51/5

Step-by-step explanation:

x -  2/5= 7

here,

x-2/5

LCM of denominators(1 &5)=5

5 (LCM of denominators) divided by the denominator of x(which is 1)= 5/1 =5

then,

5 multiply with numerator of x (which is x) = 5x

again,

5 (LCM of denominators) divided by the denominator of 2/5(which is 5) = 5/5=1

then,

1 multiply with numerator of 2/5 (which is 2)= 1 x 2 =2

so,

the fraction is,

(5x-2)/7

which is = 7

so,

(5x-2)=35           [multiplied by 5 on both site ]

5x=35+2             [add 2 on both site]

5x=37

x=37/5              [divided by 5 on both site]

similarly,

x + 4/5 = 11

=>(5x+4)/5=11

=>5x+4=55          [multiplied by 5 on both site ]  

=>5x=55-4           [subtraction by 4 on both site]

=>5x=51

=>x=51/5                [divided by 5 on both site]

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: