1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali5045456 [20]
3 years ago
5

Plz Help???

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0
1.
12 liters of 26% acid solution contain 26\% \times 12=0.26 \times 12=3.12 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The third solution is made from the two mixed solution so its volume is 12+x, and the volume of acid in it is 0.4x+3.12. Its concentration is 33% or 0.33.
The concentration of a solution is the volume of the solution divide by the volume of acid in it.

\frac{0.4x+3.12}{12+x}=0.33 \\ 0.4x+3.12=0.33(12+x) \\ 0.4x+3.12=3.96+0.33x \\
0.07x=0.84 \\
x=12

The answer is B.

2.
12 liters of 16% acid solution contain 16\% \times 12=0.16 \times 12=1.92 liters of acid.
x liters of 40% acid solution contain 40\%x=0.4x liters of acid.
The volume of the third solution is 12+x, and the volume of acid in it is 0.4x+1.92. Its concentration is 32% or 0.32.

\frac{0.4x+1.92}{12+x}=0.32 \\
0.4x+1.92=0.32(12+x) \\
0.4x+1.92=3.84+0.32x \\
0.08x=1.92 \\
x=24

The answer is B.

3.
16 liters of 18% acidsolution contain 18\% \times 16=0.18 \times 16=2.88 liters of acid.
x liters of 27% acid solution contain 27\%x=0.27x liters of acid.
The volume of the third solution is 16+x, and the volume of acid in it is 0.27x+2.88. Its concentration is 21% or 0.21.

\frac{0.27x+2.88}{16+x}=0.21 \\
0.27x+2.88=0.21(16+x) \\
0.27x+2.88=3.36+0.21x \\
0.06x=0.48 \\
x=8

The answer is A.

You might be interested in
What is 1.15​% of 26​?
Reptile [31]

Answer:0.299

Step-by-step explanation:

Ask siri

3 0
3 years ago
Read 2 more answers
What is the constant of proportionality in the equation?
IrinaVladis [17]

Answer:

The constant of proportionality is option D i.e 5.

Step-by-step explanation:

Variation:

Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.

  1. Direct variation
  2. Inverse variation

Direct Variation:

Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.

Example y=kx

where, k  is constant of proportionality.

The above given example is of Direct Variation

∴ y = 5 x

∴ k = 5 = constant of proportionality.

Inverse Variation:

Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.

Example yx=k

where, k  is constant of proportionality.

5 0
3 years ago
Read 2 more answers
What is the domain and range for the following function and its inverse?
Basile [38]

Answer:

"f(x)  

domain: all real numbers, range: all real numbers  

f–1(x)  

domain: all real numbers, range: all real numbers"

Step-by-step explanation:

We can use the fact that the domain of a function and the range of its inverse are equal.

Also, the range of the function and the domain of its inverse are equal as well.

<em>Looking at the function f(x/ = -x + 5, we see that this is a line with a negative slope of 1 and a y-intercept of +5. </em>

As we know from the graph of lines, there is no restricting values in x and y. So for the original function,  domain is the set of all real numbers and the range is the set of all real numbers.

For the inverse, the range is set of all real numbers and domain is also the set of all real numbers.

First answer choice is right.

4 0
3 years ago
A slot machine has 3 slots. For each slot, the possible outcomes are an apple, orange, lemon, banana, melon, and a joker. When t
PolarNik [594]

Answer:

1. 15

2. 75

Step-by-step explanation:

The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.

1. You could win with 2 jokers in

5+5+5=15 different ways.

You can list all these ways:

JJA    JAJ   AJJ

JJO   JOJ   OJJ

JJL     JLJ    LJJ

JJB    JBJ    BJJ

JJM   JMJ    MJJ

2. You could win with 1 joker in

5\cdot 5+5\cdot 5+5\cdot 5=75different ways

You can list all these ways:

JAA    JAO   JAL   JAB   JAM

JOA    JOO   JOL   JOB   JOM

JLA     JLO    JLL    JLB    JLM

JBA    JBO    JBL    JBB   JBM

JMA    JMO   JML   JMB   JMM

AJA     AJO   AJL   AJB   AJM

OJA    OJO   OJL   OJB   OJM

LJA     LJO    LJL    LJB    LJM

BJA    BJO    BJL    BJB   BJM

MJA    MJO   MJL   MJB   MJM

AAJ    AOJ    ALJ    ABJ   AMJ

OAJ    OOJ   OLJ   OBJ   OMJ

LAJ     LOJ     LLJ    LBJ    LMJ

BAJ    BOJ     BLJ    BBJ   BMJ

MAJ    MOJ   MLJ   MBJ   MMJ

6 0
3 years ago
What is the following quotient? 6-3(3 √8)/3 √9
WARRIOR [948]

Answer:

Factor the numerator and denominator and cancel the common factors.

Exact Form:

2

3

√

3

−

3

√

18

Decimal Form:

0.26375774

5 0
3 years ago
Read 2 more answers
Other questions:
  • An adviser is testing out a new online learning module for a placement test. They wish to test the claim that on average the new
    10·1 answer
  • Please answer correctly !!!! Will mark brainliest !!!
    14·2 answers
  • A cone with radius 6ft and a height of 12ft
    8·1 answer
  • How does this work??
    8·1 answer
  • Gdhhdhdhdhdhdhdbdbbdhd what makes up a atom
    13·2 answers
  • Migration is
    12·1 answer
  • 5x – 3= 17 <br> X=?<br> Find what x equals to.
    6·2 answers
  • What is the equation of this line?<br> o y = -1/4x<br> o y = – 4x<br> o y = 1/4x<br> O y = 4x
    12·1 answer
  • Which characteristics best describe an acute isosceles triangle
    7·1 answer
  • A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes. Production has scheduled 600 lbs to be pro
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!