Step-by-step explanation:
Total ratio=4+11
=15
1st friend's share
= 4/15 x 150
=4 x 10
=£40
2nd friend's share
=11/15 x 150
=11 x 10
=£110
5(3 - x) - 4(2 - 3x) > 2
15 - 5x - 8 + 12x > 2 <em>distributed 5 and 4 on the left side</em>
7 + 7x > 2 <em>added like terms (15 and -8) and (-5x and 12x)</em>
<u> -7 </u> <u>-7 </u>
7x > -5
Answer:
8 small tables
Step-by-step explanation:
they told you they have 5 large tables that seat 10 guests and 98 guests are coming. You need to subtract 50 from 98 because after you multiple how many guests can sit at each large table by how many large tables they have it equals 50 so 98-50=48 then you need to divide 48 by six because each small table sits six people so 48/6=8 so you need 8 small tables.
Answer:
height of the flagpole = 93.26 ft
Step-by-step explanation:
The illustration forms a right angle triangle. The angle of elevation from his eyes to the flag is 25° . The distance from his eyes at the ground to the base of the flagpole is 200 ft.
The adjacent side of the triangle formed is the distance of his eyes from the flagpole. The height of the flagpole is the opposite side of the right angle triangle formed.
using tangential ratio
tan 25° = opposite/adjacent
tan 25° = x/200
cross multiply
200 tan 25° = x
x = 200 × 0.46630765815
x = 93.261531631
x = 93.26 ft
height of the flagpole = 93.26 ft
<span>The
domain represents the A. horizontal distance covered by the flying disc. We see that x goes from x = 0 to x = 30, which the problem gives as the horizontal distance.
The range of this
function is B. 0, A. 7. The range is defined by the minimum y-value (y = 0, at x = 30), and the maximum y-value (y = 7, at x = 12).
For this function, the
range represents the flying disc's A. possible heights. This is the height as mentioned in the given, as it is the height of the disc being modelled on the graph as the disc travels horizontally.</span>
