I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
base²+altitude² = hypotenuse²
x² + 14² = 40²
x² + 196 = 1600
x² = 1600 - 196
x² = 1404
x = √1404
x = 37.47 ft
Answer:
By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Let the price of the room be p
Let the size of the room be s
To find the size of a kitchen that costs $3,824.00 we must first find the relationship between them
The statement
The price of tiling a room varies directly as the size of the room is written as
<h3>p = ks</h3>
where k is the constant of proportionality
when
p = $4,224.00
s = 264 square feet
Substitute the values into the expression to find k
That's
4224 = 264k
Divide both sides by 264
k = 16
So the formula for the variation is
<h3>p = 16s</h3>
when
p = 3824
s = 239
The final answer is
239 square feet
Hope this helps you
