All categories

3 years ago

A certain alloy contains 5.25% copper. How much copper is there in a piece weighing 200 pounds?

Mathematics

2 answers:

AveGali [126]3 years ago

5 0

The 200-pound piece of alloy contains 10 and a 1/2 pounds of copper.

Ronch [10]3 years ago

3 0

<span>0.0525
The percent sign means divide. So you just move the decimal over two places to the left</span>.<span>To find the percentage, we multiply this 'decimal' form of the percent by 200.
0.0525*200 = 10.5
The 200-pound piece of alloy contains 10-1/2 pounds of copper. </span>

You might be interested in

A pie is split into 3 equally sized

kenny6666 [7]

the total area of the pie is 237

3 0

1 year ago

22. Find the perimeter and area.

zmey [24]

Answer:

Part 22) The area is $A=15a^3b^6\ units^2($ and the perimeter is $P=10a^2b^4+6ab^2\ unit$

Part 24) The area is $A=16m^3n\ units^2$ and the perimeter is $P=24mn\ units$

Part 26) The area is equal to $A=9\pi x^6y^{2}\ units^2$

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

$A=LW$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

$A=(5(a^2)(b^4))(3(a)(b^2))$

$A=15a^3b^6\ units^2$

step 2

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$L=5(a^2)(b^4)\ units$

$W=3(a)(b^2)\ units$

substitute in the formula

$P=2(5(a^2)(b^4)+3(a)(b^2))$

$P=10a^2b^4+6ab^2\ unit$

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

$A=\frac{1}{2}bh$

where

$b=8mn\ units$

$h=4m^2\ units$

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

$A=\frac{1}{2}(8mn)(4m^2)$

$A=16m^3n\ units^2$

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

$P=3b$

where

$b=8mn\ units$

substitute

$P=3(8mn)$

$P=24mn\ units$

Part 26) Find the area

The area of a circle is equal to

$A=\pi r^{2}$

where

$r=3x^3y\ units$

Remember the property

$(a^{m})^{n}=a^{m*n}$

substitute in the formula the given value

$A=\pi (3x^3y)^{2}$

$A=9\pi x^6y^{2}\ units^2$

6 0

2 years ago

A jar contains red and green balls. A person reaches in and randomly selects a ball to indicate the number of points earned or l

user100 [1]

Answer:

There would have to be -6

Step-by-step explanation:

5 0

2 years ago

A radiator contains 10 quarts of fluid, 30% of which is antifreeze. How much fluid should be drained and replaced with pure anti

babymother [125]

Answer:

1 3/7 quarts should be drained off and replaced with pure antifreeze.

1 3/7 ≈ 1.4286

Current amount of antifreeze in quarts is -

30/ 100 × 10 = 3

40% ---> 4 quarts

Let the amount drained of and replaced with antifreeze be x-

The amount left after draining off is 10 − x.

The amount of antifreeze is 30/ 100 (10−x).

30/100(10-x)+x=4

3-3/10x+x=4

3+x(1-3/10)=4

x=1*10/7=1 3/7 quarts

check;

10- 1 3/7 = 8 4/7

=(30/100*8 4/7)+1 3/7

=(3/10 * 60/7) + 10/7

=3*6/7 + 10/7

=28/7

4 liters of pure antifreeze is mixed into 10 quarts.

8 0

2 years ago

Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c

elena55 [62]

Answer:

f(x) = - 4x² + 24x - 20

Step-by-step explanation:

Given

f(x) = - 4(x - 3)² + 16 ← expand the factor using FOIL

= - 4(x² - 6x + 9) + 16 ← distribute parenthesis by - 4

= - 4x² + 24x - 36 + 16 ← collect like terms

= - 4x² + 24x - 20

4 0

2 years ago