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
kap26 [50]
2 years ago
8

A metallurgist has one alloy containing 26% copper and another containing 69% copper. How many pounds of each alloy must he use

to make 53 pounds of a third alloy containing 50% copper?
Mathematics
1 answer:
zaharov [31]2 years ago
4 0

The pounds of alloy that contains 26% copper that would be used is  23.42 pounds.

The pounds of alloy that contains 69% copper that would be used is 29.58 pounds.

<h3>What are the linear equations that represent the question</h3>

0.26a + 0.69b = (53 x 0.5)

0.26a + 0.69b = 26.50 equation 1

a + b = 53 equation 2

Where:

  • a =pounds of alloy that contains 26% copper
  • b = pounds of alloy that contains 69% copper

<h3>How many pounds of each alloy should be in the third alloy?</h3>

Multiply equation 2 by 0.26

0.26a + 0.26b = 13.78 equation 3

Subtract equation 3 from equation 2

12.72 = 0.43b

b = 12.72 / 0.43

b = 29.58 pounds

a = 53 - 29.58 = 23.42 pounds

To learn more about linear functions, please check: brainly.com/question/26434260

#SPJ1

You might be interested in
Find the sum of all two digit whole numbers which are divisible by 11?​
tensa zangetsu [6.8K]

Answer:

all two digit whole number which are divisible by 11 are

22+33+44+55+66+77+88+99=484

7 0
3 years ago
Read 2 more answers
How many whole numbers are between 1 and 50 that are divisible by 2?
kupik [55]

Answer:

25

Step-by-step explanation:

The first number in the range 1 - 50 that is divisible by 2 is 2 itself.  Then 4, 6, 8, ....

Here's one way to think and count:

2 \rightarrow 1\\4 \rightarrow 2\\6 \rightarrow 3\\8 \rightarrow 4\\\vdots\\50\rightarrow 25

In the table, the number on the right is <u>half</u> the number on the left.  The numbers on the right are just counting numbers (natural numbers), so there are 25 even numbers between 1 and 50.

8 0
3 years ago
Read 2 more answers
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
Mrac [35]

The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

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

We have two points shown in the table:

(-1, -10), and (3, 14)

\rm (y - 14 )= \dfrac{14+10}{3+1}(x-3)

y - 14 = 6(x - 3)

y = 6x - 4

Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

Learn more about the slope of the straight line here:

brainly.com/question/3493733

#SPJ1

6 0
2 years ago
Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.
mart [117]

Answer:

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

Step-by-step explanation:

The given expression is  

\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}    [\because a^ma^n=a^{m+n}]

\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}

\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

5 0
4 years ago
PLEASE HELP!!!! TYSM GUYS!!!
ANEK [815]

Answer:

The answer is B: Store Z has the best sale price of $28.

Step-by-step explanation:

Store X: $29.75

Store Y: $30

Store Z: $28

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Factorize using splitting the middle term: 6x² + 11x - 10
    7·1 answer
  • PLEASE HELP!! BRAINLIEST ANSWER AND FASTEST ANSWER GETS TON OF FREE POINTS...MATH WHIZZES, HELP ME OUT. FORGOT HOW TO DO THIS.
    10·1 answer
  • Please help I am so lost; help is much appreciated
    11·1 answer
  • What is the solution to the following system of linear equations?
    9·1 answer
  • Melody stated that the sum of a positive and a negative integer equals a negative integer or 0.
    6·1 answer
  • A positive integer is 4 more than 12 times another. Their product is 5896. Find the two integers.
    15·2 answers
  • Find the sum of the geometric series<br> 1+ 0.8 + 0.8^2 + 0.8^3 + ... + 0.8^19
    6·2 answers
  • What is 12.8% of 1300
    15·2 answers
  • Could somebody help me with
    14·1 answer
  • There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B. The total length of these two ca
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!