Answer:
8+x=2x-3
x=11
Step-by-step explanation:
The distance from the lighthouse to the boat will be given by:
tan θ=opposite/adjacent
θ=angle of depression=23
opposite= height of the lighthouse
adjacent=distance from the boat to the bottom of the light house
hence
tan 23=210/a
thus solving for a we obtain:
a=210/tan23
hence
a=494.73 ft
6 is six units to the right of the 0, or zero, midpoint on an infinite number line
-6 would be six units to the left of the midpoint, so it would be the opposite
<span>It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
</span><span> (1,1)
CHECK
2x+y=3
2(1)+(1)=3
2+1=3
3=3
Left hand side=Right hand side
Check other equation
x=2y-1
1=2(1)-1
1=1
</span><span>Therefore the solution is (1,1). Since the left hand side= right hand side in each equation</span>
Answer:
<h2>
Emily: 72 marbles</h2><h2>
Asif: 8 marbles</h2>
<em>Step-by-step explanation:</em>
first lets find in how many shares is the total amount of marbles divided into:
7+1=8
now, lets find how many marbles are in each share:
64/8=8
now that we know that each share of marbles contains 8 marbles, we can find how many each child got:
Emily got 7 shares: 8*7= 72 marbles
Asif got 1 share: 8*1= 8 marbles
Hence,
<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>
