Two less than three– fourths of a number is ten. what is the number? a. 10 2/3 b. 13 1/3 c. 15 1/3 d. 16

Option D. 16

Step-by-step explanation:

Let

x ----> the number

we know that

The linear equation that represent this problem is equal to

Solve for x

Multiply by 4 both sides

Adds 8 both sides

Divide by 3 both sides

therefore

The number is 16

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew