Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)
2(x-6)=3(x+3)
Let's solve your equation step-by-step.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)
</span></span></span><span>Simplify: (Show steps)
</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9
</span></span>Step 2: Subtract 3x from both sides.
<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x
</span></span></span><span><span><span>−x</span>−12</span>=9
</span>Step 3: Add 12 to both sides.
<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12
</span></span><span><span>−x</span>=21
</span>Step 4: Divide both sides by -1.
<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1
</span></span></span><span>x=<span>−21
</span></span>Answer:
<span>x=<span>−<span>21</span></span></span>
Answer:
<h3>$189,292.92</h3>
Step-by-step explanation:
Using the compound interest formula to get the equivalent amount after 5 years;
A = P(1+r/n)^nt
P is the principal = 120,000
r is the rate = 10% = 0.1
t is the time = 5 years
n is the time of compounding = 1/2 = 0.5(semi annual interest)
Substitute into the formula;
A = 120,000(1+0.1/0.5)^(5)(0.5)
A = 120,000(1+0.2)^2.5
A = 120,000(1.2)^2.5
A = 120,000(1.5774)
A = 189,292.92
Hence the company issue is $189,292.92
I will help you on two conditions: 1) that you never again call yourself "stupid," and that you ask no more than 1 or 2 questions per post.
I'll focus on #5. Recall that distance = rate times time: d = r*t.
You want distance and are given rate and time: rate 1.8 km/min; time 48 min.
I see you write "distance" next to "1.8 km;" that is not correct, because
the problem states that "the rate is 1.8 km per minute." 1.8 km is a distance; 1.8 km / min is not (it's a rate).
So, again, to find the distance traveled, mult. the rate by the elapsed time:
distance = (1.8 km/min)(48 min) = 86.4 km, or about 54 miles.
