Anne and Nancy use a metal alloy that is 21.8% copper to make jewelry. How many ounces of a 13% alloy must be mixed with a 29% alloy to form 140 ounces of the desired 21.8% alloy?

Answers

Answer 1

Answer: 63.13%

Step-by-step explanation:

given data:

copper = 21.8%

0.13%x + 29%(140-x) = 21.8%(140)

open the brackets

0.13x + 40.6 - 0.29x = 30.5

collect like terms

0.13x - 0.29x = 30.5 - 40.6

–0.16x = –10.1

divide both sides by – 0.16

–0.16x / – 0.16 = –10.1 / –0.16

x = 63.13%


Related Questions

if f(x) = 3x +2, g(x) = 4x, what is f(g(x)?

Answers

Answer:12x+2

Step-by-step explanation: the first step is to put g of x in f of x like this

3(4x)+2


The total rainfall for two days was 14.6 mm. The first day's total was 4.5 mm less than the second
day's. How much rain fell on each day in cm?​

Answers

Answer:

first day = 5.05mm = 0.505cm

second day = 9.55mm = 0.955cm

Step-by-step explanation:

Let x represent first day

Let y represent second day

x + y = 14.6

x = y - 4.5

(y - 4.5) + y = 14.6

2y - 4.5 = 14.6

2y = 14.6 + 4.5

2y = 19.1

Divide both sides by coefficient of y which is 2

y = 9.55

Substituting value of y in the equation x + y = 14.6

x + 9.55 = 14.6

x = 14.6 - 9.55

x = 5.05

To convert the values in mm to cm you divide them by 10 since 1cm=10mm

Evaluate k ^5 · m If k=2 and k=5

Answers

Answer:

32, 3125

Step-by-step explanation:

2^5=32 and 5^5=3125

A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29.a) trueb) false

Answers

Complete question :

A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29

a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.

b. Does the value 3.29 represent the population parameter or the sample statistic?

Answer:

True ; population parameter

Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.

B.) population parameter

Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.

Same statistic represents estimates derived from a sample (subset of the entire population).

A water ballon shaped like a sphere is filled with water.The water ballon has a diameter of 3 inches.Which measurement is closest to the volume of water in the water ballon in cubic inches?
A. 14.13 cu. in.
B. 3.53 cu. in.
C. 113.04 cu. in.
D. 3.33 cu. in.

Answers

Answer:

the answer is (A) 14.13 cu. in

Step-by-step explanation:

Is A 14.13

explanation divide by to get radius then use the formula   4/3πr to the third

1. Calculate the simple interest over an amount of N$ 2500 that is invested for 3 years and 6 months at a rate of 7% pa.​

Answers

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

Solve problem step by step 3(2x-4)=8

Answers

Answer:

x = 10/3

Step-by-step explanation:

3(2x-4) = 8

3*2x + 3*-4 = 8

6x - 12 = 8

6x = 8 + 12

6x = 20

x = 20/6

x = 10/3

Check:

3((2*10/3) - 4) = 8

3(20/3 - 4) = 8

20 - 3*4 = 8

20 - 12 = 8

(Giving Brailniest) What is 18x+20

Answers

Answer:

[tex]2(9x+10)[/tex]

Step-by-step explanation:

[tex]18x+20[/tex]

First, we have to factor. We will have to factor out 2 to get the answer(Factor out 2 from 18x+20).

Answer:

[tex]2(9x+10)[/tex]

Hope this helps!

Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5

Answers

Answer:

option D.  x = 1 3/5

Step-by-step explanation:

ratio and proportion

4 = x

5     2

X multiply:

5x = 4(2)

5x = 8

x = 8 / 5

x = 1 3/5

Answer:

x = 1 3/5

Step-by-step explanation:

x = 1 3/5

x/8 = 3/4 solve for x

Answers

Answer: X= 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, multiply 8 to both sides:

(x/8)8 = (3/4)8

x = (3 * 8)/4

First, divide 8 with 4:

x = 3 * (8/4) = 3 * 2

Finally, simplify by multiplying:

x = 3 * 2

x = 6

x = 6 is your answer.

~

Solve each equation 9-4(2x-1)=45

Answers

I think it is done like this but I am not sure.

Simplifying

9 + -4(2x + -1) = 45

Reorder the terms:

9 + -4(-1 + 2x) = 45

9 + (-1 * -4 + 2x * -4) = 45

9 + (4 + -8x) = 45

Combine like terms: 9 + 4 = 13

13 + -8x = 45

Solving

13 + -8x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8x = 45 + -13

Combine like terms: 13 + -13 = 0

0 + -8x = 45 + -13

-8x = 45 + -13

Combine like terms: 45 + -13 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

We have,

Distribute the -4 to the terms inside the parentheses:

9 - 4(2x - 1) = 45

9 - 8x + 4 = 45

Combine like terms:

13 - 8x = 45

Move the constant term to the other side of the equation by subtracting 13 from both sides:

13 - 8x - 13 = 45 - 13

-8x = 32

Divide both sides of the equation by -8 to isolate the variable:

(-8x) / (-8) = 32 / (-8)

x = -4

Therefore,

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

Learn more about equations here:

https://brainly.com/question/3118662

#SPJ6

Someone please help! :(

Answers

Answer:

See below.

Step-by-step explanation:

Start with triangle ABC with side BC lying on line n.

Draw a line through point A parallel to line n, and call it line m.

Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.

Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.

The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.

m<1 + m<BAC + m<2 = 180

Now we substitute in the angles we know are congruent by alternate interior angles (written above).

m<3 + m<BAC + m<4 = 180

g(x) = x² + 4x-1
Solve

Answers

Answer:

Using the quadratic formula:

x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1

x = [-4 +- sqr root (20)] / 2

x1  = [-4 + sqr root (20)] / 2

x2 = [-4 - sqr root (20)] / 2

x1 = 0.23607

x2 = -4.2361

Step-by-step explanation:

Answer:

x = - 2 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given

g(x) = x² + 4x - 1

To solve for x let g(x) = 0, that is

x² + 4x - 1 = 0 ( add 1 to both sides )

x² + 4x = 1

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 1 + 4

(x + 2)² = 5 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{5}[/tex] ( subtract 2 from both sides )

x = - 2 ± [tex]\sqrt{5}[/tex]

Thus solutions in exact form are

x = - 2 - [tex]\sqrt{5}[/tex] , x = - 2 + [tex]\sqrt{5}[/tex]

combine like terms: 11y-2x-10y-y+6x

Answers

Answer:1y+7x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)

4x

2. Help with this pls

Answers

I believe the answer is A.

Which of the following could be the side lengths of a triangle?

A. 2, 3, 6

B. 9, 10, 19

C. 5, 8, 15

D. 12, 15, 25

Answers

Answer:

The answer would be D. 12, 15, and 25.

Step-by-step explanation:

The first two sides, sum must be larger than the third side.

so 12+15=27 which is larger than 25

The correct answer for  the side lengths of a triangle is D. 12, 15, 25.

What is the side lengths of a triangle rule?

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.

If a,b,c are the sides of the triangle then,

a + b > c

Now in the given question let us suppose a,b,c be the length of the sides

A. 2, 3, 6

Here, a = 2, b= 3 and c = 6

Applying sides of a triangle rule,

a + b > c

⇒2 + 3=  5 which is less than 6

Here, a + b <c

Therefore , these are not the lengths of triangle.

B. 9, 10, 19

Here, a = 9, b= 10 and c = 19

Applying sides of a triangle rule,

a + b > c

⇒9 + 9=  18 which is less than 19

Here, a + b <c

Therefore , these are not the lengths of triangle.

C. 5, 8, 15

Here, a = 5, b= 8 and c = 15

Applying sides of a triangle rule,

a + b > c

⇒5 + 8 =  12 which is less than 15

Here, a + b <c

Therefore , these are not the lengths of triangle.

D. 12, 15, 25

Here, a = 12, b= 15 and c = 25

Applying sides of a triangle rule,

a + b > c

⇒12 + 15 = 27 which is greater than 25

Here, a + b > c

Therefore , these are the lengths of triangle.

Hence,The correct answer for  the side lengths of a triangle is D. 12, 15, 25.

More about length of the side of triangle rule :

https://brainly.com/question/10100449

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What is the sum1,000+2,000=

Answers

Answer:

3000

Step-by-step explanation:

1000 + 2000 = 3000

Step-by-step explanation:

sum1,000+2,000=3000.is yoir answer

Which is not a solution of 5(2x+4)[tex]\geq[/tex] 2(x+34)? pllllllzzzzzz i need this so much

Answers

I think it's help u so follow me and brainlist me if it's wrong then tell me

Clear parentheses and combine like terms:​

Answers

Answer:

A. 14uv+7uv^2

Step-by-step explanation:

9uv+3u^2+5uv+4u^2

9uv+5uv+3u^2+4u^2

14uv+7uv^2

Hope this helps ;) ❤❤❤

For x > 3, values of the function f(x) = –(x – 3)^2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?

A) Both the additive inverse and the multiplicative inverse are positive.
B) Both the additive inverse and the multiplicative inverse are negative.
C) The additive inverse is positive, while the multiplicative inverse is negative.
D) The additive inverse is negative, while the multiplicative inverse is positive.

Answers

the addictive inverse is positive while the multiplicative inverse is negative

Answer:

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Solve:
-8(x - 3) + 5x < 9(x + 12)
This is Algebra 1

Answers

Answer:

The answer is x > -7

Step-by-step explanation:

The starting out equation is:

-8(x - 3) + 5x < 9(x + 12)

Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]

Once you do that, you have something like this:

-8x + 24 + 5x < 9x + 108

Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.

-3x + 24 < 9x + 108

When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:

-3x -9x + 24 < 108

You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.

And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:

-3x -9x < 108 -24

Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)

-12x < 84

Now that we isolated the variable, we have to divide it by -12.

KEEP IN MIND!!

When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!

When you are dividing by a negative number,

REVERSE THE SIGN!!

I always forgot this and got it wrong back then!!

Back to the lesson, itll look like this when dividing

-12x < 84

------ ------

-12x -12x

Once you divide it, you'll get this

x > -7

I hope this helped!

Factor completely
4x^2 - 18x - 36

Answers

Answer: 2(2x + 3)(x - 6)

Step-by-step explanation: For any factoring problem you do, your first

task will be to determine if a GCF exists for the original polynomial.

If a GCF does exist, it must be factored out as the first step to the problem.

In the problem you see here, the 3 terms in

the original polynomial have a GCF of 2.

So a 2 must be factored out as your first step.

This leaves you with 2(2x² - 9x - 18).

This does not make your life a whole lot easier however

because you still have a coefficient on the x squared term.

Factoring from here, you get 2(2x + 3)(x - 6).

Answer:

2(x - 6)(2x + 3)

Step-by-step explanation:

There are a few steps to factoring depending on the polynomial.

Step 1. Factor our a common factor if possible.

Every term is divisible by 2, so factor out a 2.

4x^2 - 18x - 36 =

= 2(2x^2 - 9x - 18)

Step 2. We need to factor the quadratic trinomial.

Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.

Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.

We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.

We can try guessing, but instead, I will use the "ac" method.

Step A. Multiply coefficients ac:

ac = 2(-18) = -36

Step B. Now we need two numbers that add to b and multiply to ac.

We need two numbers that add to -9 and multiply to -36.

The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.

We now break up the middle term, -9x, using these two numbers.

= 2(2x^2 - 12x + 3x - 18)

Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.

= 2[2x(x - 6) + 3(x - 6)]

x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.

= 2[(x - 6)(2x + 3)]

= 2(x - 6)(2x + 3)

The population of a South America country is about 17,400,000. Which expression shows this number in scientific notation?

Answers

Answer:

1.74x10^7

Step-by-step explanation:

you count how many times you moved the decimal to the right

can i have brainliest? i only need 2 more

Answer:

1.74x10^7

Step-by-step explanation:

How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800

Answers

Answer: 100/400

Step-by-step explanation:

what is 186 over 31​

Answers

Use Photomath it’s a good app for math

Answer:

6

Step-by-step explanation:

HELPPPPPPP URGENT AGAIN.!!!! The coordinates of which point are (–3, –6)? point A point B point C point D

Answers

Answer:

Point C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Out of these numbers which ones are multiples of 7 {−7, −4, 2, 14, 21, 34, 42}

Answers

Answer:

-7, 14, 21, and 42

Step-by-step explanation:

7•-1=-7

7•2=14

7•3=21

7•6=42

Evaluate f(x) = 12 for the function f(x) = 5(x - 3) + 17

Answers

Answer:

62

Step-by-step explanation:

12-3=9

5x9=45

45+17=62

Answer:

f(12)= 62

Step-by-step explanation:

Plug 12 into x.

5(12-3)+17

45+17

= 62

Write the sentence as an equation.
247 is equal to 144 more than the quantity 195 times v

Answers

Answer:

247 = 144 + (195 ⋅ v)

What are the coefficients in this expression, 2x+y-3z? Hint, There is 3 coefficient.

Answers

2x , y, -3z are the coefficients
yes the person above me is correct
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