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1 year ago

Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brass

Mathematics

1 answer:

Drupady [299]1 year ago

4 0

Answer:

x +y = 500
0.65x +0.95y = 0.75(500)
solution: (x, y) = (300, 200)

Step-by-step explanation:

A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.

<h3>Setup</h3>

Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.

x + y = 500 . . . . . . quantity of new alloy needed

0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy

These are the desired system of equations.

<h3>Solution</h3>

This problem does not ask for the solution, but it is easily found using substitution for x.

x = 500 -y

0.65(500 -y) +0.90y = 0.75(500)

(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)

y = 500(0.10/0.25) = 200

x = 500 -200 = 300

300 grams of 65% copper and 200 grams of 90% copper are needed.

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Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to

pishuonlain [190]

Answer:

80=x+y

Step-by-step explanation:

The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.

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3 years ago

Story Problems

Gnom [1K]

Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars

Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels

Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold

From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.

6 0

2 years ago

Read 2 more answers

What number is 4 times as many as 25

enyata [817]

A number 4 times as much as 25 is 100

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2 years ago

I have no idea!! Please help!!!

Ber [7]

The area of a traingle is $\frac{1}{2}bh$
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same

a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²= $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}$
a= $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$

A= $\frac{1}{2}bh$
A= $\frac{1}{2}a*a$
A= $\frac{1}{2}$ × $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$ × $\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}$
A= $\frac{1}{2}$ × $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}$
A= $\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{4}$

8 0

2 years ago

Please help asap <br><br> How can we write 50.2 in words?

lora16 [44]

Answer:

There are two ways you can write it. You can write it how you would casually say it:

Fifty and two (or Fifty point Two)

But mathematically, you would say it as:

Fifty and Two-tenths.

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2 years ago