Answer:
The area of the triangular case = 61.2 square inches
Step-by-step explanation:
P.S - The exact question is -
Given - Mr. Sanders wants to display his American flag in a triangular case as shown below.
To find - What is the area of the triangular case ?
Proof -
Given that,
Base of triangle = 
Height of triangle = 8.5 in
We know that,
Area of triangle = 
= 
= 
= 
= 61.2
∴ we get
The area of the triangular case = 61.2 square inches
Kylie is 8 and her Brother is 14
14-6 = 8 * Kylie’s age is 8
Sum: 8 + 14 = 22
Answer:
y=26, x=-3
Step-by-step explanation:
3x+y=17
3x+y-y=17-y
3x=17-y
Divide both sides by 3
Simplify
\frac{17-y}{3}+2y=49
\frac{17-y}{3}\cdot \:3+2y\cdot \:3=49\cdot \:3
17-y+6y=147
17+5y=147
17+5y-17=147-17
5y=130
\frac{5y}{5}=\frac{130}{5}
y=26
x=\frac{17-26}{3}
x=-3
The complete question is
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours.How long will it take both to fill the pool? Explain each step in solving this equation.
we know that
<span>John can fill the pool in --------------> 5 hours
</span>therefore
<span>I calculate the amount of pool that John fills in one hour
</span>if John can fill 100% of the pool in----------------> 5 hours
X--------------------------------------> 1 hour
X=1/5=0.20 pool/hour
Matt can fill the pool in --------------> 10 hours
therefore
I calculate the amount of pool that Matt fills in one hour
if Matt can fill 100% of the pool in----------------> 10 hours
X--------------------------------------> 1 hour
X=1/10=0.10 pool/hour
<span>adding both amounts
(0.20+0.10)=0.30 -----------> 30% pool/hour
then
</span>if both can fills 30% of the pool in----------------> 1 hour
100%-------------------------------> X
X=100/30=3.33 hours----------> 3 hours + 19 minutes+ 48 sec
the answer is 3.33 hours (3 hours + 19 minutes+ 48 sec)
<span>The equation to determine the amount of pool filling (y) according to time (t) in hours is given by
</span><span>y=0.30*t
</span>
P = 2(L + W)
L = 2W + 5/2
P = 2(2W + 5/2 + W)
P = 2(3W + 5/2)
P = 6W + 5
P - 5 = 6W
(P - 5) / 6 = W or 1/6P - 5/6 = W <===
