Ms. Tucker spends of her 1/4 income on rent, 1/8 on food, 1/10 on utilities, 1/10 on gas for her car, and 1/8 car
payments. What fraction of Ms. Tucker's income is left after these expenses?
A. 7/8
B. 7/10
C.1/8
D.3/10

B. 7/10

Step-by-step explanation:

Find the common denominator for all of the fractions -

1/4 = 10/40

1/8 = 5/40

1/10 = 4/40

1/10 = 4/40

1/8 = 5/40

10 + 5 + 4 + 4 + 5 = 28

Simplify 28/40

= 7/10

Hope this helps!

D)3/10

Step-by-step explanation:

The answer is D)3/10

step-by-step explanation:

dong do iy iys a scram

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