The desired answer is probably that
2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.
_____
I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
Answer:
$3.90
Step-by-step explanation:
The total cost was $24.40.
We know the cost for beads for each necklace is also $2.20, multiply this by four to find the cost of the beads for all the necklaces.
$2.20 × 4 = $8.80
Now we will subtract this from the total price.
$24.40 - $8.80 = $15.60
$15.60 Is the remaining cost for the pendants of all four necklaces. We will now divide this by four to find the price of a single pendant.
$15.60 ÷ 4 = $3.90
<u>This means the cost of each pendant is $3.90</u>
Minor Arc AC = 110 degrees (given)
As indicated in the hints,
OA=OC => OAC=OCA=(180-110)/2 = 35
Similarly,
OAB=OBA=(48-35)=13
=>
OBC=OCB=(180-35-35-13-13)/2=(180-96)/2=84/2=42
=>
Angle B = 13+42 = 55 degrees
Check:
55+55+35+35+13+13 = 180 degrees (angles of a triangle) ok.
how many solutions do intersecting lines have? - 0,1 or infinitely many
how many solutions do parallel lines have? - 0 or infinitely many
if you are looking at a graph and trying to find a solution what are you looking for? - for the point(s) when the graphs intersect
Calculating surface area
Big Prism-
7*14*2=196
7*21*2=294
14*21*2=588
196+294+588=1078
Small prism
3*6*2=36
3*9*2=54
6*9*2=108
36+54+108=198
1078:198
Simplify(divide by common factors)
(Divide2)
539:99
(Divide 11)
49:9
C is your answer