How much of an alloy that is 30% copper should be mixed with 50 ounces of an alloy that is 60% copper in order to get an alloy that is 40% ​copper?

Answers

Answer 1

Answer: 180 i think

Step-by-step explanation: .5*200+.2X=.3(200+X)

100+.2X=60+.3X

.2X-.3X=60-100

-.1X=-40

X=-40/-.1

X=400 OUNCES OF 20% COPPER.

PROOF

.5*200+.2*400=.3(200+400)

100+80=.3*600

100+80=180

180=180

Answer 2

Answer: 100 ounces of the alloy.

Step-by-step explanation: To solve, we create an equation:

First, though, let's define some variables and values -

x = amount of the alloy we are trying to find

0.3 = 30% copper

0.6 = 60% copper

50 = 50 ounces of the alloy

0.3(x) + 0.6(50) = 0.4(x+50) - original equation

0.3x + 0.6*50 = 0.4x + 0.4*50 - expanded

subtract 0.3x and 0.4*50 on both sides to get...

0.2*50 = 0.1x - simplified

calculate...

10 = 0.1x - simplified

divide both sides by 0.1 to get...

100 = x --> x = 100


Related Questions

Identify a pair of Alternate Exterior Angles

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Answer:

Angles 6 and 3. Hopefully this helps.

Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?

16 hours
18 hours
24 hours
32 hours

A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *

0.5 cm
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The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *

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Answers

Step-by-step explanation:

1. 200 = 10h

320 =

320x10 / 200

= 16h

2. 1.5 = 50m

x = 150 m

150x1.5 / 50

= 4.5cm

3. 4$ = 40balls

x = 100balls

100x4 / 40

= $10

The answer to the first one is 16 hours. This is because it is 20 pages per hour, then when you divide 320 by 20, you get 26.
Hope this helps. I was to lazy to do the others.

Five years ago, John’s age was half of the age he will be in 8 years. How old is he now? Show your steps.

Answers

Answer:

John is 18 years old at this point in time.

Step-by-step explanation:

This question is basic algebra. The equation you will need to write to solve it is (x-5) = (x+8)/2. When you solve this equation, the answer comes out to 18.

PLEASEE HELP IM BEGGING YOU

Answers

Answer: god it's hard, but i will try

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2,9) and
B (6, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
The equation is y =

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 8

Step-by-step explanation:

A(2, 9)

B(6, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{6-2}[/tex] = - 2

AB ⊥ AD ⇒ [tex]m_{AD}[/tex] = [tex]\frac{1}{2}[/tex]

A(2, 9)

y - 9 = [tex]\frac{1}{2}[/tex] (x - 2)

y = [tex]\frac{1}{2}[/tex] x + 8

the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base and height​

Answers

Answer:

Step-by-step explanation:

triangle area = (length*width)/2

height(length): x

base(width): 8x

area = 45

8x^2=45

solve for x

ANSWER IT OR ELSE JAMES CHARLES

Answers

Answer:

Hiiiiii sisterrrrs!!!!

Step-by-step explanation:

Answer:

HI SisTErS!

Step-by-step explanation:

Carbon is found in ALL of these materials seashells, wood, plants, and water.
Group of answer choices

True

False

Answers

Answer:

True because Plants need Carbon Air to grow. Seashells are made of tiny carbon atoms, Wood is 50% carbon and water is H20 known as Hydrogen and Oxygen. Water DOES have some Carbon in it! It gets the Carbon Dioxide from the rain!

Which Statement about 4(x-3) is True? Giving Brainliest

Answers

Answer:

A I think that is the ans

find the slope of the line that passes through the point (-5,3) and (5,-3).​

Answers

Answer:

-6/10  or  -0.6

Step-by-step explanation:

m=y2-y1/x2-x1

-3-3=(-6)

5-(-5)=10

-6/10

hope this helps :3

if it did pls mark brainliest

Ashley can run 12 miles in 2 hours. At this rate, how many minutes does it take Ashley to run 1 mile?

Answers

Answer:

10 minutes

Step-by-step explanation:

If you divide both sides by 2 you get 6 miles and 1 hour.

Divide it again by 2 and you get 3 miles and 30 minutes.

Divide that by 3 and you get 1 mile in 10 minutes.

It takes 10 minutes for Ashley to run 1 mile.
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120 minutes / 12 miles = 10 minutes per mile

If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?

PLEASE ANSWER

Answers

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8.                   9*2=18,4*2=8

Answer:

The width of the rectangle is 8.

Step-by-step explanation:

I found this answer after taking a quiz and getting it wrong. After that I wanted to find this question on Brainly and answer it so others wouldn't get it wrong.

HOPE IT HELPS :)

Please help it’s due

Answers

1 = 70

2 = 20

3 = 70

4 = 20

5 =110

Which of the following sets of numbers can be the lengths of the sides of a triangle? ​

Answers

Answer:

A. 2.6, 8.1, 10.2

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides has to be greater than the third side. From those answer choices, only 2.6, 8.1, 10.2 satisfy the Triangle Inequality.

-2.5 + (-3.5) = -6 true or false

Answers

Answer:

The answer is true.

Step-by-step explanation:

Hope this helped :)

Answer:

true

Step-by-step explanation:

PLEASE HELP ME! THANK YOU !!

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Doamin of the function

inf

write the polynomial on descending order
[tex]2 {x}^{5 } + 14 - 3 {x}^{4 } \times 7x + 3x ^{3} [/tex]

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Answer:

jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg

Here you go check the down answer
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Mark me brandies

A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2

Hope this helped!

You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. What will be the balance in the account?

Answers

Answer: At the end of 10 years, your savings will have grown to $9,407.

Step-by-step explanation: You will have earned in $2,407 in interest.

Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.

Answers

Two numbers whose sum is 10 is required.

The answer is

Minimum: 5, 5

Maximum: 9, 1

Let [tex]x[/tex] and [tex]y[/tex] be two numbers

[tex]x+y=10\\\Rightarrow y=10-x[/tex]

The sum of the squares would be

[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]

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Differentiating with respect with x

[tex]f'(x)=4x-20[/tex]

Equating with zero

[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]

Double derivative of f(x)

[tex]f''(x)=4[/tex]

[tex]f''(x)>0[/tex]

So, at [tex]x = 5[/tex] the value of the function is minimum.

Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]

For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method

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[tex]8^2+2^2=68[/tex]

[tex]7^2+3^2=58[/tex]

[tex]6^2+4^2=52[/tex]

0 and 10 will not be considered as 0 is neither positive nor negative.

So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.

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Function and Linear question look at the image

I will give brainliest if correct

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Answers

Answer:

23x+y=-16

Step-by-step explanation:

What is the value of x?

Answers

Answer:

I believe it is x+3..

Step-by-step explanation:

Answer:

x = 5

which agrees with the first answer option listed

Step-by-step explanation:

Use the proportionality associated with similar triangles, considering that the larger triangle has sides:

x + (x+5) = 2 x + 5

and

(x+1) + (x-2) = 2 x - 1

and the smaller triangle:

x   and  (x-2)

The we build the following proportionality:

(2 x + 5) / x  = (2 x - 1) / (x - 2)

cross multiply to eliminate denominators:

(2 x + 5) (x - 2) = x (2 x - 1)

operate:

2 x^2 - 4 x + 5 x -10 = 2 x^2 - x

combine like terms:

2 x^2 + x -10 = 2 x^2 - x

subtract 2 x^2 from both sides:

x - 10 = - x

add x to both sides:

2 x  -10 = 0

add 10 to both sides

2 x= 10

divide both sides by 2:

x = 5

which agrees with the first answer option listed

A six sided cube is rolled. What is the probability of getting a 3 and then a 4, givrn the first number rolled was 3.

Answers

Answer:

1/6

Step-by-step explanation:

Use conditional probability:

P(A given B) = P(A and B) / P(B)

P(4 given 3) = P(4 and 3) / P(3)

P(4 given 3) = (1/36) / (1/6)

P(4 given 3) = 1/6

Simplify: –6(2x – 5)


–12x – 30


–12x + 30


12x – 30


12x + 30

Answers

Answer: -12x + 30

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

-6(2x-5)

-6(2x+5)

-6(2x) + 6(5)

-12x +30

Mr. Earl E. Bird leaves his house for work at exactly 8:00 a.m. every morning. When
he averages 40 miles per hour, he arrives at his workplace three minutes late. When
he averages 60 miles per hour, he arrives three minutes early.

Answers

Answer:

50 miles per hour

Step-by-step explanation:

if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time

*i had trouble wording that so yeah sorry about that*

9. A student received a 75% on an exam. If there were 20 questions on the exam,
which ratio would show the number of questions answered correctly to the total
number of questions?
Microsoft
Edge
O A. 20:5
O B. 20:15
O C. 15:20
Zoom
O D. 5:20

Answers

Answer:

The answer is C. 15:20

Step-by-step explanation:

hope that helps

Answer:

B

Step-by-step explanation:

Step 1: Take 20 and multiply by 0.75 to get the number of answers that were correct, which is 15.

Step 2: Put the number of correct questions and the total number of questions into a ratio form, 20:15

Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!

Answers

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

f(x)=-x^3 find the end behavior of function

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Answer:

What is X its fiesty

Step-by-step explanation:

fdsfa

A person can walk at a rate of 2 ½ miles per hour. How long would it take the person to walk 10 miles?
15 minutes
4 hours
10 hours
25 hours

Answers

Answer:

4 hours

Step-by-step explanation:

2.5t = 10

Divide both sides by 2.5

10/2.5 = 4

t = 4

(t represents time)

4 hours!!!!!!!!!!!!!!
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