Answer: B
Step-by-step explanation:
To solve the system of equations, use substitution.
x+y =24
Subtract x on both sides
y=-x+24
We can now substitute -x+24 in for y in the second equation.
3x+5y=100
3x+5(-x+24)=100
Distribute the 5
3x-5x+120=100
Subtract the 120 on both sides
-2x=-20
Divide by 2 on both sides
x=10
Substitute 10 in for x in the first equation.
x+y=24
10+y=24
Subtract 10 inches on both sides
y=14
So there are 10 3point questions and 14 5 point questions, so choice B
Hope this helped!
<h2>
Answer:</h2>
cos 28°cos 62°– sin 28°sin 62° = 0
<h2>
Step-by-step explanation:</h2>
From one of the trigonometric identities stated as follows;
<em>cos(A+B) = cosAcosB - sinAsinB -----------------(i)</em>
We can apply such identity to solve the given expression.
<em>Given:</em>
cos 28°cos 62°– sin 28°sin 62°
<em>Comparing the given expression with the right hand side of equation (i), we see that;</em>
A = 28°
B = 62°
<em>∴ Substitute these values into equation (i) to have;</em>
<em>⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°</em>
<em />
<em>Solve the left hand side.</em>
<em>⇒ cos(90°) = cos28°cos62° - sin28°sin62°</em>
⇒ 0 = <em>cos28°cos62° - sin28°sin62° (since cos 90° = 0)</em>
<em />
<em>Therefore, </em>
<em>cos28°cos62° - sin28°sin62° = 0</em>
<em />
<em />
A = bh
A = 8 x 7 = 56 cm^2
----------------------------------------
Answer:
Simplified: 7x - 14
Step-by-step explanation:
::'cx
Simply get the value of 72 percent out of 138 pounds.
138 * 72% = 9926 / 100% = 99.36 lbs
We need to divide the answer by 100% if 72% is not converted into decimal to ensure that we get the exact value in pounds.
or
138 * 72%/100% = 138 * 0.72 = 99.36 lbs
If in the event that 99.36 lbs and 72% is given, we can find the weight of the person by dividing the value by its corresponding percentage.
99.36lbs / (72%/100%) = 99.36 / 0.72 = 138 lbs
If both values are given and percentage is missing, then divide the part by the whole to get the percentage.
99.36 lbs / 138 lbs = 0.72 * 100 % = 72%
