Given:
She purchased adult ticket for herself and children tickets for her 2 boys.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
To find:
The expression to represent the total cost of the tickets Jenny purchased.
Solution:
Let x represent the number of adult ticket purchase
and y represent the number of child tickets purchase.
Cost of one adult ticket = $39.99
Cost of one child ticket = $19.99
Total cost = 39.99x + 19.99y
Therefore, the expression for total cost is 39.99x + 19.99y.
She purchased one adult ticket and 2 child tickets.
Substitute x=1 and y=2 in the above expression.
Total cost = 39.99(1) + 19.99(2)
= 39.99 + 39.98
= 79.97
Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.
Answer:
93 boxes will be needed.
Step-by-step explanation:
Divide 1570 ÷ 17
This gives the answer 92.35
So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.
Answer:
which agrees with option"B" of the possible answers listed
Step-by-step explanation:
Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from
, since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as
and
. (see attached image)
We put our efforts into solving the right angle triangle denoted with green borders.
Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : 
Therefore, the two equal acute angles in the triangle JOH should add to:
resulting then in each small acute angle of measure
.
Now referring to the green sided right angle triangle we can find find angle JLG, using: 
Finally, the requested measure of angle JLF is obtained via: 
I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.
I hope this helps