Algebra Calculator
I will solve your equations by substitution.<span><span><span>12y</span>=4</span>;<span><span>x−<span>5y</span></span>=18</span></span>
Step: Solve<span><span> 12y</span>=4</span>for y:<span><span><span>12y/</span>12</span>=<span>4/12</span></span>(Divide both sides by 12)<span>y=<span>13</span></span>Step: Substitute <span>1/3 </span>for y in<span><span><span> x−<span>5y</span></span>=18</span>:</span><span><span>
</span></span><span><span>x−<span>5y</span></span>=18</span><span><span>
</span></span><span><span>x−<span>5<span>(<span>1/3</span>)</span></span></span>=18</span><span><span>
</span></span><span><span>x+<span><span>−5/</span>3</span></span>=18</span>(Simplify both sides of the equation)<span><span><span>
</span></span></span><span><span><span>x+<span><span>−5</span>/3</span></span>+<span>5/3</span></span>=<span>18+<span>5/3</span></span></span>(Add 5/3 to both sides)<span>
</span><span>x=<span>59/3</span></span>
Answer:<span><span>x=<span><span><span>59/3</span> and </span>y</span></span>=<span>1/<span>3</span></span></span>
Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
Answer:
i can try just put the questions up
Step-by-step explanation:
Answer:
41.89 units
Step-by-step explanation:
Area of a sector: Θ/360 * (pi)(r)^2
