1st: do distributive property, that will give you 3x + 6 + 5x
2nd: combine like terms to simplify, this will give you 6 + 8x
Step-by-step explanation:
this is one-dimensional ? everything just on one number line ?
TU = 2 - -17 = 2 + 17 = 19
TU is 19 units long (17 units on the negative side, and 2 units on the positive side of the number line).
therefore, to make TU = UV a true statement, UV has also to be 19 units long.
as U = 2,
V = U + UV = 2 + 19 = 21
The answer is C. You can make a rectangle by putting the diagonals through the center anywhere, but if you want a square, you have to put the two diagonals perpendicular to each other and join their ends. See the diagram.
To solve this we are going to use the formula for the area of a circle:

where

is the area of the circle

is the diameter of the circle
We know from our problem that the area of our circle is 10 inches long, so

. Lets replace that value in our formula to find

:


We can conclude that the correct answer is: 78.54 square inches, or in centimeters: 506.7 square cm.
Answer:
(B) 20
Step-by-step explanation:
Let small puppet be represented by-----------------s
Let large puppet be represented by-----------------l
Total number of puppets expression will be: s+l =25---------a
The expression for total costs will be : 1$ s + $2l=$30-------b
Equation a can be written as; s= 25-l ------------c
Use equation c in equation b as
$1( 25-l )+$ 2l = $30
25-l + 2l = 30
25+l =30
l= 30-25 =5
l, large puppets = 5
s, small puppets = 25-5 = 20
Answer choice A is incorrect because 25 is the total number of all puppets
Answer choice C and D are incorrect because the numbers are less that that of small puppets.