Question

You have an alloy that contains 10% brass that needs to be mixed with 2,585 ounces of an alloy that contains 70% brass to create a mixture that is 65% brass. You need ounces of 10% brass (If needed, round to 1 decimal place - NO COMMAS).

119

likes
593 views

Answer to a math question You have an alloy that contains 10% brass that needs to be mixed with 2,585 ounces of an alloy that contains 70% brass to create a mixture that is 65% brass. You need ounces of 10% brass (If needed, round to 1 decimal place - NO COMMAS).

Expert avatar
Fred
4.4
115 Answers
\textbf{Step 1: Define What We Know}
- Let x be the ounces of the 10% brass alloy added.
- The amount of brass in the 10% alloy is 0.10x.
- The amount of brass in the 70% alloy is 0.70 \times 2,585.
- Total weight of the final mixture is x + 2,585 ounces.
- The total amount of brass in the final mixture is 0.10x + 0.70 \times 2,585.

\textbf{Step 2: Set Up the Equation}
The equation for the final concentration of brass in the mixture:
\frac{0.10x + 0.70 \times 2,585}{x + 2,585} = 0.65

\textbf{Step 3: Solve the Equation}
Expanding and simplifying the equation:
0.10x + 0.70 \times 2,585 = 0.65x + 0.65 \times 2,585
0.70 \times 2,585 - 0.65 \times 2,585 = 0.65x - 0.10x
Solving, we get x = 235.0

\textbf{Answer:} \ x = 235.0 \text{ ounces}

Frequently asked questions (FAQs)
What is the result of adding vector A (3i - 4j + 2k) to vector B (2i + 5j - 3k)?
+
Math question: What is the limit of (3x^2 + 5x - 2)/(2x^2 - 7x + 3) as x approaches 2?
+
What is the value of arccos(0) - arccos(1)?
+
New questions in Mathematics
2x-y=5 x-y=4
Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2
If O(3,-2) is reflected across x = 2. What are the coordinates of O
7273736363-8
(5y 9)-(y 7)
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Quadratic equation 2X = 15/X + 7
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
Log0
A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
5 1/9 + 2 2/3