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STALIN [3.7K]
3 years ago
9

A chemist has three different acid solutions. The first acid solution contains 25%

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0
Solution:
Let the volume (in litres) of acids used be:
x1=amount of 25% acid
x2=amount of 40% acid
x3=3*x2=amount of 60% acid
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o The day before the exam, Rebecca does a practice run. She attempts 20 glass vases and breaks 3 of them. What is her success ra
Rashid [163]

Answer:

If the goal is to break the vases: 3/20 = 15.0% or 0.15

If the goal is to not break the vases: 17/20 = 85.0% or 0.85

8 0
3 years ago
Write an equation in point-slope form and in slope-intercept form.
Sever21 [200]

The point-slope form:

y-y_1=m(x-x_1)

The slope-intercept form:

y=mx+b

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, -5) and (-3, -7). Substitute:

m=\dfrac{7-(-5)}{-3-1}=\dfrac{12}{-4}=-3\\\\y-(-7)=-3(x-(-3))\\\\\boxed{y+7=-3(x+3)}

Rewrite to the slope-intercept form:

y+7=-3(x+3)           <em>use distributive property</em>

y+7=-3x-9       <em>subtract 7 from both sides</em>

\boxed{y=-3x-16}

3 0
3 years ago
Which algebraic expression is equivalent to
poizon [28]
Hey there :)

( 2x⁵ - 3x⁴ + x² + 5x + 7 ) - ( - 4x⁵ - x⁴ - 3x² - 5x + 2 )

Let us combine like-terms
2x⁵ - ( - 4x⁵ ) - 3x⁴ - ( - x⁴ ) + x² - ( - 3x² ) + 5x - ( - 5x ) + 7 - 2

Minus and minus becomes plus
2x⁵ + 4x⁵ - 3x⁴ + x⁴ + x² + 3x² + 5x + 5x + 7 -2

6x⁵ - 2x⁴ + 4x² + 10x + 5

Your answer will be option A) 6x⁵ - 2x⁴ + 4x² + 10x + 5
8 0
3 years ago
Read 2 more answers
Find the error with this proof and explain how it mat be corrected in order to clearly prove the equation.
enyata [817]

Answer:

Step-by-step explanation:

It is true that for any given odd integer, square of that integer will also be odd.

i.e if m is and odd integer then m^{2} is also odd.

In the given proof the expansion for (2k + 1)^{2} is incorrect.

By definition we know,

(a+b)^{2} = a^{2} + b^{2} + 2ab

∴ (2k + 1)^{2} = (2k)^{2} + 1^{2} + 2(2k)(1)\\(2k + 1)^{2} = 4k^{2} + 1 + 4k

Now, we know 4k^{2} and 4k will be even values

∴4k^{2} + 1 + 4k will be odd

hence (2k + 1)^{2} will be odd, which means m^{2} will be odd.

7 0
3 years ago
What is one third of 27 over 48
Pachacha [2.7K]
One third of 27 is 9, which would mean you would just divide 9 over 48.
8 0
3 years ago
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