Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
3) using the both parts: 0.5x+0.2*90=0.4(x+18) ⇒ x=54 gal. of <u>pure</u> weight.
4) to find 50% solution of 54 gal. pure weight just 54:0.5=108 gal.
Answer: 108 gal.
Answer:
m∠Q = 121°
m∠R = 58°
m∠S = 123°
m∠T = 58°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Create an expression for the sum of all the angles and equate it to 360, then solve for x:
∠Q + ∠T + ∠S + ∠R = 360
⇒ 2x + 5 + x + 2x + 7 + x = 360
⇒ 6x + 12 = 360
⇒ 6x = 360 - 12 = 348
⇒ x = 348 ÷ 6 = 58
So now we know that x = 58, we can calculate all the angles:
m∠Q = 2x + 5 = (2 x 58) + 5 = 121°
m∠R = x = 58°
m∠S = 2x + 7 = (2 x 58) + 7 = 123°
m∠T = x = 58°
Answer:
75
Step-by-step explanation:
750×0.10=75
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Steps:
1st write out equation
Second write the conjugant and multiply it.
After multiplying you should get,
now after simplifying you should get
Answer:
y = 26
Step-by-step explanation:
The angles of a linear pair total 180°.
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(2y +1)° +(5y -3)° = 180° . . . . the sum of the angles is 180°
7y -2 = 180 . . . . . . divide by °, collect terms
7y = 182 . . . . . . . . add 2
y = 26 . . . . . . . . . divide by 7
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<em>Additional comment</em>
The angle measures are (2(26) +1)° = 53°, and (5(26) -3)° = 127°. These total 180°, as they should.
