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A 5 gallon mixture contains 40% acid. A 3 gallon mixture contains 50% acid. What percent is obtained by putting the two mixture

Nady [450]

(5/8)40 + (3/8)50 = 25 + 18.75 = 43.75%

6 0

3 years ago

PLSSSSSSSS HELLPPPPPP.......Which triangle’s unknown side length measures StartRoot 53 EndRoot units?

Orlov [11]

The right answer is Option 2: A right triangle with side length of √47 and hypotenuse of 10.

Step-by-step explanation:

We know that;

$a^2 + b^2 = c^2$

We will put the unknown length as √53 to check the solution.

Option 1: a = 6 , b = √53 , c = √91

$(6)^2+(\sqrt{53})^2=(\sqrt{91})^2\\36+53=91\\89\neq 91$

Option 2: a=√47, b = √53, c = 10

$(\sqrt{47})^2+(\sqrt{53})^2=(10)^2\\47+53=100\\100=100$

Option 3: a = √19, b=√53, c= √34

$(\sqrt{19})^2+(\sqrt{53})^2=(\sqrt{34})^2\\19+53=34\\72\neq 34$

Option 4: a=√73, b=√53, c=20

$(\sqrt{73})^2+(\sqrt{53})^2=(20)^2\\73+53=400\\126\neq 400$

Option 2 satisfies pythagoras theorem.

Therefore;

The right answer is Option 2: A right triangle with side length of √47 and hypotenuse of 10.

Keywords: pythagoras theorem, square root

Learn more about pythagoras theorem at:

#LearnwithBrainly

3 0

4 years ago

Read 2 more answers

Please help please now please

LenaWriter [7]

Answer: 1,070 cm²

Step-by-step explanation:

25 multiplied by 15 is 375.

15 multiplied by 4 is 60.

25 multiplied by 4 is 100.

Now, we multiply these answers by 2.

375 multiplied by 2 is 750.

100 multiplied by 2 is 200.

60 multiplied by 2 is 120.

Add these all up, and you get your surface area, 1,070.

(Tldr; SA = 2lw + 2lh + 2hw)

8 0

3 years ago

PLEASE HELP! IT’S 40 POINTS! What is the area of this octagon?

Zinaida [17]

Answer:

B) 59 cm²

Step-by-step explanation:

4x8=32

2x3=6

3x7=21

32+6+21=59 cm²

3 0

3 years ago

If the cost, C(x), for manufacturing x units of a certain product is given by C(x)=x^2-14x+74, find the number of units manufact

vova2212 [387]

<h2>Steps:</h2>

So for this, since C(x) is the cost, and we are given the cost of $9050, we will plug 9050 into C(x) and solve for x:

$9050=x^2-14x+74$

So for this, I will be completing the square. Firstly, subtract 74 on both sides of the equation:

$8976=x^2-14x$

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, you need to divide the x coefficient by 2, square the quotient, then add the result on both sides of the equation. In this case:

-14 ÷ 2 = -7, (-7)² = 49

$9025=x^2-14x+49$