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Scorpion4ik [409]
2 years ago
7

write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that ha

ve the following solution sets. Two solutions: x=2, x=14.
Mathematics
1 answer:
Katena32 [7]2 years ago
3 0

Answer:

b= 2x c=14x

Step-by-step explanation:

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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0
3 years ago
What is the product of the polynomials below?<br> (6x2-3x-6)(4x2 +5x+4)
Arlecino [84]

Answer:

24x^4+18x^3-15x^2 -42x-24

Step-by-step explanation:

(6x^2-3x-6)(4x^2 +5x+4)=

6x^2*4x^2 +6x^2*5x+6x^2*4

-3x*4x^2 - 3x*5x-3x*4

- 6*4x^2 -6*5x-6*4=

24x^4+30x^3+24x^2-12x^3-15x^2 -12x

-24x^2-30x-24=

24x^4+18x^3-15x^2 -42x-24

7 0
3 years ago
If y = x^2 and dx/dt = 3, what is dy/dt when x = -1
nadezda [96]
<span>If x = y^3 - y and dy/dt = 5, then what is dx/dt when y = 2? 10. A balloon is rising vertically above a level, straight ...

</span>
5 0
3 years ago
4m + 2(8) = 5(8) solve for m
ollegr [7]

Answer:

m = 6

Step-by-step explanation:

4m + 2(8) = 5(8) (Given)

4m + 16 = 40 (Simplify)

4m + 16 - 16 = 40 - 16 (Subtraction Property of Equality)

4m = 24 (Simplify)

\frac{4m}{4} = \frac{24}{4} (Division Property of Equality)

m = 6 (Simplify)

3 0
3 years ago
Read 2 more answers
On a piece of paper, Graph y
creativ13 [48]
The answer to this question is A
5 0
3 years ago
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