PLEASE HELP ME

An alloy is a mixture of metals.Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

Answer the questions below. Do not do any rounding.

(a) How many grams of copper are in the resulting mixture?

Il grams

(b) What percentage of the resulting mixture is copper?

Answers

Answer 1

Answer:

(a) How many grams of copper are in the resulting mixture?

= 160 grams

(b) What percentage of the resulting mixture is copper?

= 61.5%

Step-by-step explanation:

(a) How many grams of copper are in the resulting mixture?

From the question: Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

(b) What percentage of the resulting mixture is copper?

70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%


Related Questions

Sally buys a pair of shoes that are discounted 60% off the original price. If Sally pays $50 for the shoes, what was the original price of the shoes?

Answers

Answer:

90$

Step-by-step explanation

Step 1: You need to find how much was the 60% discount

Step 2: To find that multiply .6 by 50 you will get 30

Now you know how much was 60% discount

Step 3: Add   30(the discount) + 50(the prce sally pays) = 90 (the oriagnal price)

which number does Not represent 4.701

Answers

Answer:

4.702 does not represent 4.701

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

WHAT ARE THE NUMBERS?

Step-by-step explanation:

YOU DIDNT WRITE THEM

PLZ HELP ME ILL GIVE U 20 POINTS!!!!!!!!!!!!!!!!

Answers

Answer:

1. y < 4

2. x </= -3

3. y >/= 2

4. x > -2

5. x </= 2

6. x < 0

7. t > -2

8. N >/= 3

9. n < -4

10. x < 5

Step-by-step explanation:

give me answer.1 to 100 plus. like:1+2+3+4+5+6+7+8+9+10+11.........

Answers

Answer:

5,050

Step-by-step explanation:

Use sigma notation to add all the numbers together (∑)

Need help pls like I really need help

Answers

Answer:

4

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer:

y=1.5x

Step-by-step explanation:

3/2=1.5

9/6=1.5

How would you graph the solution to -5w + 9 = 14 on a number line?

Answers

Answer:

Step-by-step explanation:

w= -1

Your circle will be on the -1

Answer:

Taft

Step-by-step explanation:

The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?

A. g(x) = f(x) - 5
B. g(x) = f(x - 5)
C. g(x) = f(x) - 2
D. g(x) = f(x + 2)

Answers

Answer:

A.

Step-by-step explanation:

It just is trust

the cost of 3 boxes is

Answers

I can’t seee what ur trying to show me

You buy a used car for $20,000. It depreciates at the rate of 21% per year. Find the value of the car for the given years.

A. 5 years.

B. 8 years.

Answers

Answer:

a is 840 ,b is 525

Step-by-step explanation:

At the end of each year, its value is down to 79%, which is 0.79 times its value at the start of the year.  Keep this up for n years and the value is

V(n) = $20,000 (0.79)n,

where n is the number of years elapsed from when the value was $20,000.  Just plug in n=5 and n=8, evaluate, and get your 2 answers.

Answer:

A. 5 years

Step-by-step explanation:

21% of 20,000 is 4200, mutiply that by 5 and get $20,000

The question is Find the constant of proportionality in the graph below

Answers

Answer:

4.5

Step-by-step explanation:

please help i will give brainliest

Answers

Answer:

n<-0.6

Step-by-step explanation:

7.2>0.9(n+8.6)

8>n+8.6

-0.6>n

n<-0.6

So there would be an open circle at the point -0.6 (because the "less than" sign shows that -0.6 is not included), and then an arrow pointing left to show solutions that are less than -0.6

I will assume you know what buttons to press.

Answer:

Step-by-step explanation:

7.2>0.9(n+8.6)

n< -0.6

(-∞,-0.6)

open circle on -0.6 and go to the left

plz help!! serious answers only

Answers

Answer:

line t = -9/8

Step-by-step explanation:

Parallel lines have the same slope, so line t will have a slope of -9/8 as well

Identify the real and imaginary parts of the given number. Then identify whether the number belongs to each of the following sets: real numbers, imaginary numbers, and complex numbers.

−9 + 9i
The real part of −9 + 9i is ____ and the imaginary part is ____.
The number −9 + 9i belongs to which of the following sets. Select all that apply.

A real numbers
B imaginary numbers
C complex numbers

See image.

Answers

Answer:

-9 is real, 9i is imaginary, C

Step-by-step explanation:

-9 is real because you can literally draw nine things.

9i is imaginary because i is √-1 and square roots of negatives are imaginary.

It is complex because complex expressios are written as a+bi.

(PLEASEEE HELP I DONT UNDERSTAND) Which of the following equations represents a linear NON-proportional function?
A) y=3x+0
B) y=x/4
C) y=7x
D) y=2/5x+7

Answers

D

A nonproportional relationship is a linear line that doesn’t go through the origin.

y=3x+0 does go through the origin because the y-intercept (the b) is 0

Y=x/4 also has a y-intercept of 0

Y=7x also has a y-intercept of 0.

y=2/5x+7 does not go through the origin because the line passes the y-axis at (0,7) which is the y-intercept.

PLEASE HELP HURRY!! What is the value of x?

Answers

Your answer is 3/2 units.

Hope this helps!✌



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

-12

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Its -12 for sure!!!!!

Help please it’s needed!

Answers

Can I see the options for the answers?

Which of the following correctly lists the following equations in order from most steep to least steep? ​

Answers

ms girl ik your looking for a answer, but what grade are u in!

phoebe, andy and polly share €270
phoebe gets three times as much as and who gets twice as much as polly

work out how much they each get

Answers

Answer:

Polly=30

Andy=60

Phoebe=180

Step-by-step explanation:

Polly=x

Andy=2x

Phoeby 3(2x)=6x

x+2x+6x=270

9x=270

x=30

Polly=x=30

Andy = 2x=60

Phoebe=6x=180

HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.

O -2/5
O 2/5
O 5/2
O None of the above

Answers

Answer: 2/5

Step-by-step explanation:

The bottom of a ladder leaning against a wall is 1.5 m from the bottom of the wall. The ladder is 5.5 m long. Find how high the top of the ladder is above the ground, correct to one decimal place.

A. 5.8 m
B. 5.7 m
C. 5.2 m
D. 5.3 m​

Answers

Answer: D.  5.3 m

Step-by-step explanation:

The ladder leaning against the wall causes it to forma  right angle.  

The right angle has two sides , which is  the two legs, and the hypotenuse.

Using the formula a^2 + b^2 = c^2 , a  and b are the two legs and c is the hypotenuse. In this case, a will be the wall, b will be 1.5 m  and the ladder which is 5.5 m will be the hypotenuse.  

Input the values for a and c to sole for b using the formula.

1.5^2 + b^2 = 5.5^2

2.25 + b^2 = 30.25

-2.25                 -2.25

   b^2 = 28

   b = [tex]\sqrt{28}[/tex]

  b = 5.2915   rounded to one decimal place is the same as rounding it to the nearest tenth, and 5.29 rounded to the nearest tenth is 5.3.

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

According to Pythagoras theorem

In a right triangle

[tex]\rm H^2 = P^2 + B^2[/tex]

[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

In the given situation the the ladder forms the right triangle with the wall

Length of the ladder = 5.5 m

Length of the base of ladder from the wall = 1.5 m

Let K be the height of top of ladder above the ground  that is resting on the wall.

Hence  from equation (1) we can write

[tex]\rm K = \sqrt{5.5^2 - 1.5^2} = \sqrt{28} = 5.291 \approx \bold{5.3}[/tex]  m

Height of top of ladder above the ground  that is resting on the wall, correct to one decimal place is 5.3 m

hence option D is correct.

For more information please refer to the link given below

https://brainly.com/question/16426393

Graph a scatter plot using the given data.

Answers

Answer:

Here is the answer.

Step-by-step explanation:

HELP IT'S URGENT.
Please show workings.
No 4 (see image)

Answers

Answer:

(i) (b² - 2ac)/c²(ii) (3abc - b³)/a³

Step-by-step explanation:

α and β are the roots of the equation:

ax² + bx + c = 0

Sum of the roots is:

α + b = -b/a

Product of the roots is:

αβ = c/a

Solving the following expressions:

(i)

1/α² + 1/β² =(α² + β²) / α²β² =((α + β)² - 2αβ) / (αβ)² = ((-b/a)² - 2c/a) / (c/a)² = (b²/a² - 2c/a) * a²/c² = b²/c² - 2ac/c² =(b² - 2ac)/c²

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

(ii)

α³ + β³ =(α + β)(α² - αβ + β²) =(α + β)((α + β)² - 3αβ) = (α + β)³ - 3αβ(α + β) =(-b/a)³ - 3(c/a)(-b/a) =-b³/a³ + 3bc/a²= 3abc/a³ - b³/a³=(3abc - b³)/a³

[tex] \huge \underline{\tt Question} :[/tex]

If α and β are the roots of the equation ax² + bx + c = 0, where a, b and c are constants such that a ≠ 0, find in terms of a, b and c expressions for :

[tex] \tt \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]α³ + β³

[tex] \\ [/tex]

[tex] \huge \underline{\tt Answer} :[/tex]

[tex] \bf \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }[/tex][tex] \bf \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}[/tex]

[tex] \\ [/tex]

[tex] \huge \underline{\tt Explanation} :[/tex]

As, α and β are the roots of the equation ax² + bx + c = 0

We know that :

[tex] \underline{\boxed{\bf{Sum \: of \: roots = \dfrac{- coefficient \: of \: x}{coefficient \: of \: x^2}}}}[/tex][tex] \underline{\boxed{\bf{Product \: of \: roots = \dfrac{constant \: term}{coefficient \: of \: x^2}}}}[/tex]

[tex] \tt : \implies \alpha + \beta = \dfrac{-b}{a}[/tex]

and

[tex] \tt : \implies \alpha\beta = \dfrac{c}{a}[/tex]

[tex] \\ [/tex]

Now, let's solve given values :

[tex] \bf \: \: \: \: 1. \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2}[/tex]

[tex] \tt : \implies \dfrac{\beta ^2 + \alpha ^2}{\alpha ^2 \beta ^2}[/tex]

[tex] \tt : \implies \dfrac{\alpha ^2 + \beta ^2}{\alpha ^2 \beta ^2}[/tex]

[tex] \\ [/tex]

Now, by using identity :

[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex]

[tex] \tt : \implies \dfrac{(\alpha + \beta)^2 - 2 \alpha\beta}{(\alpha\beta)^2}[/tex]

[tex] \\ [/tex]

Now, by substituting values of :

[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex]

[tex] \tt : \implies \dfrac{\Bigg(\dfrac{-b}{a}\Bigg)^2 - 2 \times \dfrac{c}{a}}{\Bigg(\dfrac{c}{a}\Bigg)^2}[/tex]

[tex] \tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2c}{a}}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{\dfrac{b^2}{a^2} - \dfrac{2ac}{a^{2} }}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{\dfrac{b^2 - 2ac}{a^2 }}{\dfrac{c^2}{a^2}}[/tex]

[tex]\tt : \implies \dfrac{b^2 - 2ac}{\cancel{a^2} } \times \dfrac{ \cancel{a^2}}{c^2}[/tex]

[tex]\tt : \implies \dfrac{b^2 - 2ac}{c^2 }[/tex]

[tex] \\ [/tex]

[tex] \underline{\bf Hence, \: \dfrac{1}{\alpha ^2} + \dfrac{1}{\beta ^2} = \dfrac{b^2 - 2ac}{c^2 }}[/tex]

[tex] \\ [/tex]

[tex] \bf \: \: \: \: 2. \: \alpha ^3 + \beta ^3 [/tex]

[tex] \\ [/tex]

By using identity :

[tex] \underline{\boxed{\bf{a^3+ b^3 = (a+b)(a^2 -ab + b^2)}}}[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha ^2 - \alpha\beta + \beta ^2)[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha ^2 + \beta ^2 - \alpha\beta)[/tex]

[tex] \\ [/tex]

By using identity :

[tex] \underline{\boxed{\bf{a^2+ b^2 = (a+b)^2 -2ab}}}[/tex]

[tex] \tt : \implies (\alpha + \beta)(\alpha + \beta)^2 -2 \alpha\beta - \alpha\beta)[/tex]

[tex] \tt : \implies (\alpha + \beta)((\alpha + \beta)^2 -3 \alpha\beta)[/tex]

[tex] \\ [/tex]

Now, by substituting values of :

[tex] \underline{\boxed{\bf{\alpha + \beta = \dfrac{-b}{a}}}}[/tex][tex] \underline{\boxed{\bf{\alpha\beta = \dfrac{c}{a}}}}[/tex]

[tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg( \bigg(\dfrac{-b}{a} \bigg)^2 -3 \times \dfrac{c}{a}\Bigg)[/tex]

[tex] \tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3c}{a}\Bigg)[/tex]

[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2}{a^2} - \dfrac{3ac}{a^{2} }\Bigg)[/tex]

[tex]\tt : \implies \Bigg(\dfrac{-b}{a}\Bigg)\Bigg(\dfrac{b^2 - 3ac}{a^2} \Bigg)[/tex]

[tex]\tt : \implies \dfrac{-b}{a} \times \dfrac{b^2 - 3ac}{a^2} [/tex]

[tex]\tt : \implies \dfrac{ - b(b^2 - 3ac)}{a \times a^2} [/tex]

[tex]\tt : \implies \dfrac{ - b^3 + 3abc}{a^3} [/tex]

[tex] \\ [/tex]

[tex] \underline{\bf Hence, \: \alpha ^3 + \beta ^3 = \dfrac{ - b^3 + 3abc}{a^3}}[/tex]

Is every relation also a function? Explain

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

Samantha paid $26.25 for three books that all cost the same amount. What was the cost per book?

Answers

Answer:

$8.75 per book

Step-by-step explanation:

26.25/3 = 8.75

Answer:

$8.75

Step-by-step explanation:

26.25 divided by 3 = 8.75

HELP ME PLEASE! how do you write 0.0370 as a scientific notation

Answers

The answer is 3.7 × 10-2
Hope that helped






does opposites name the same location on a number line.

Answers

Answer:

I'm not sure but maybe this will help

Step-by-step explanation:

- 3 and 3 are located on opposite sides of zero. They are the same distance from zero. 3 and -3 are called opposites.

1. NC.6.RP.3 An airplane travels at a constant speed of 360 miles per hour. How far, in
miles, will the airplane travel in 45 minutes?
a. 270 miles
b. 16,200 miles
C. 60 miles
d 720 miles

Answers

9514 1404 393

Answer:

  a.  270 miles

Step-by-step explanation:

In 3/4 of an hour, the plane will fly 3/4 of 360 miles, so 270 miles.

Solving equations with like terms -8 -3y + 2y =32

Answers

Answer:

y= -40

Step-by-step explanation:

y= (x + 4)2 + 8
how do you simplify this equation

Answers

Answer:

Step-by-step explanation:

you could distribute and combine like terms

y=(x+4)2+8

y=2x+8+8

y=2x+16

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