Step-by-step explanation:
-x+2y=-6
x-2y=6
x=2y+6
substitute in 2x-3y=11 gives us 2(2y+6)-3y=11
4y+12-3y=11
y=-1
-x+2(-1)=-6
-x=-4
x=4
Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span><span><span><span><span><span><span>(0.2)</span><span>(x)</span></span>+<span><span>(0.2)</span><span>(50)</span></span></span>+</span>−6</span>=<span><span><span>(0.4)</span><span>(<span>3x</span>)</span></span>+<span><span>(0.4)</span><span>(20)</span></span></span></span>(Distribute)<span><span><span><span><span>0.2x</span>+10</span>+</span>−6</span>=<span><span>1.2x</span>+8</span></span><span><span><span>(<span>0.2x</span>)</span>+<span>(<span>10+<span>−6</span></span>)</span></span>=<span><span>1.2x</span>+8</span></span>(Combine Like Terms)<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span><span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−<span>1x</span></span>+4</span>=8</span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>1x</span></span>+4</span>−4</span>=<span>8−4</span></span><span><span>−<span>1x</span></span>=4</span>Step 4: Divide both sides by -1.<span><span><span>−<span>1x</span></span><span>−1</span></span>=<span>4<span>−1</span></span></span><span>x=<span>−4</span></span>Answer:<span>x=<span>−<span>4</span></span></span>
2(-3-7)+5= <span>2(-10)+5= -20 + 5= -15
-15 is your final answer</span>
Answer: 1,594,323
Step-by-step explanation:
No of leaves which falls daily on the first day = 1
No of days leaves falls = 14 days.
Solution:
No of leaves of day 1
= 1.
No of leaves on day 2
= 1*3
= 3
No of leaves of day 3
= 3*3
= 9
No of leaves of day 4
= 9*3
= 27
No of leaves on day 5
= 27*3
= 81
No of leaves on day 6.
= 81*3
= 243.
No of leaves of day 7
= 243*3
= 729
No of leaves on day 8
= 729 * 3
= 2187
No of leaves on day 9
= 2187 *3
= 6561
No of leaves on day 10
= 6561 * 3
= 19683
No of leaves on day 11
= 19683 * 3
= 59049
No of leaves on day 12
= 59049 *3
= 177147
No of leaves on day 13
= 531441
No of leaves on day 14
= 531441 * 3
= 1,594,323.
The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323
Hi student, let me help you out! :)
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We are asked to find the slope of this graph; we are provided with two points:



- What we need in order to find the slope are two points and the slope formula.
Here's the formula:

Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Substitute the values:

Simplify!

Simplify more!

Hope it helps you out! :D
Ask in comments if any queries arise.
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