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
larisa86 [58]
2 years ago
10

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

60% salt and Solution B is 75%
salt. She wants to obtain 60 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Mathematics
1 answer:
vampirchik [111]2 years ago
3 0

we know that A has 60% of salt, so if way we had "x" amount of ounces of A solution the amount in it will be 60% of "x", or namely (60/100)*x = 0.6x.

Likewise for solution B if we had "y" ounces of it, the amount of salt in it will be (75/100) * y or 0.75y, thus

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{oz of }}{amount}\\ \cline{2-4}&\\ A&x&0.60&0.6x\\ B&y&0.75&0.75y\\ \cline{2-4}&\\ mixture&60&0.65&39 \end{array}~\hfill \begin{cases} x+y=60\\ 0.6x+0.75y=39 \end{cases} \\\\\\ \stackrel{\textit{since we know that}}{x+y=60}\implies y = 60 - x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.6x+0.75(60-x)=39}

0.6x+45-0.75x=39\implies -0.15x+45=39\implies -0.15x=-6 \\\\\\ x = \cfrac{-6}{-0.15}\implies \boxed{x = 40} \\\\\\ \stackrel{\textit{we know that}}{y = 60 - x}\implies y = 60-40\implies \boxed{y = 20}

You might be interested in
Estimate the sum of 202 and 57.
aalyn [17]
The estimate of the sum of 202 and 57 is 260. You add the numbers together and than round up.
8 0
3 years ago
Read 2 more answers
Which glide reflection describes the mapping triangle ABC triangleDEF?
ZanzabumX [31]
In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.
5 0
3 years ago
Which of the following events below will have an equally likely chance of happening?
Fed [463]

Answer:

B

Step-by-step explanation:

Think of it like a quarter you got a half and half shot if getting heads or tails. meaning a 50/50 chance.

5 0
2 years ago
Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com
DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

<em><u>Solution:</u></em>

<em><u>The formula for amount when interest is compounded annually is:</u></em>

\mathrm{A}=P\left(1+r}\right)^{n}

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>

P = 850

t = 9 years

r = 2 \% = \frac{2}{100} = 0.02

<em><u>Substituting the given values we get,</u></em>

A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0
3 years ago
6. Examine the prism shown below.
bulgar [2K]
It may be can be number 1 (a)
8 0
2 years ago
Other questions:
  • What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3   6a4b 42a5b4 77a8b7
    5·2 answers
  • Given Q below, is YQR a minor arc, a major arc, or a semicircle?
    7·2 answers
  • Can someone explain this to me? I'm stuck.
    7·2 answers
  • Solve the inequality. <br><br>The solution is.... ​
    9·1 answer
  • What is the range of g(x)?
    12·1 answer
  • What number is 65% of 140
    10·2 answers
  • What is the equation of a line that passes through the point (1,8) and is perpendicular to the line whose equation is y=x/2 + 3
    10·1 answer
  • Hall travels 99 miles per hour for 6 hours. Find the distance traveled, in miles
    5·1 answer
  • Given that ABC~LMN<br> What is the length of AC?
    8·1 answer
  • Can someone help me with this please?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!