An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg of this alloy?

Answers

Answer 1

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

Answer 2

Amount of each metal are needed to make 3.6 kg of this alloy are,

Nickel = 1.4 kg

Zinc = 0.4 kg

Copper = 1.8 kg

We have to given that,

An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.

Now, We can assume that,

Amount of nickel = 7x

Amount of zinc = 2x

Amount of copper = 9x

Hence, We get;

⇒ 7x + 2x + 9x = 3.6

⇒ 18x = 3.6

⇒ x = 3.6 / 18

⇒ x = 0.2

Thus, WE get;

Amount of nickel = 7x

                           = 7 × 0.2

                           = 1.4 kg

Amount of zinc = 2x

                        = 2 × 0.2

                        = 0.4 kg

Amount of copper = 9x

                            = 9 × 0.2

                            = 1.8 kg

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Related Questions

The measure of an exterior angle of a triangle is equal to which of the following measures?

A. The measure of its complementary angle
B. The measure of its adjacent angle
C. The sum of the measures of the interior angles
D. The sum of the measures of its remote interior angles

Answers

Answer:

C. The sum of the measures of the interior angles

Step-by-step explanation:

An exterior ∠ is equal to the addition of the two Δ angles not right next to it.The 2 exterior angles at each vertex are = in measure because they are vertical angles.

• The exterior angles (taken one at a vertex) always total 360º

find the missing angle in the triangle

Answers

Answer:

45

Step-by-step explanation:

Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!

the answer is 45°

90/2=45

how many solutions does : 3y = -6x + 9
y = -6x + 9

Answers

Answer:

Exactly 1 solution

Step-by-step explanation:

First we must disrupte3y+27=12y+13

Next we switch one number to the other side27=9y+13

Now we must switch the other number14=9y

Now we must solve by dividing 14 by 9y=1.555

This is one solution, so we now have our answer.

The equation has only one solution. Then the correct option is A.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equations are given below.

3y = -6x + 9

y = -2x + 3       ...1

y = -6x + 9      ...2

From equations 1 and 2, then we have

-2x + 3 = -6x + 9

4x = 6

x = 6/4

x = 1.5

Then the value of the variable 'y' is calculated as,

y = -2x + 3

y = -2(1.5) + 3

y = - 3 + 3

y = 0

The solution of the equation y = -2x + 3 and y = -6x + 9 will be (1.5, 0). Then the equation has only one solution. Then the correct option is A.

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Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?

Answers

7500(1+0.032)5=

1.032 to the power of 5= 1.171

7500x 1.171=8,782

I need help on this question

Answers

Answer:

im sorry but google?

Step-by-step explanation:

i guess

Answer:

4.5 pi

Step-by-step explanation:

First find the area of a circle with the same radius

The diameter is 6 so the radius is 1/2 d = 1/2(6) =3

A = pi r^2

A = pi (3)^2

A = 9 pi

This is a semi circle of half a circle so the area is 1/2

A  of the semicircle

9/2 pi

4.5 pi

What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)

Answers

The solution is 5x+ 5y = 15

Answer:

-2,5

Step-by-step explanation:

Is this SAS or Not SAS

Answers

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

Answer:

SAS

Step-by-step explanation:

The sides are all equivalent so it is indeed a SAS triangle.

2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2

Answers

B!!! Explanation: just took the test

The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.

Answers

Answer:

$3690

Step-by-step explanation:

Let's first find what percent of the original price it is being sold for.

100%-18%=82%

The water cooler is being sold for 82% of its original price.

Let's now find 82% of 4500.

0.82*4500=3690

The selling price is $3690

Answer:

3690

Step-by-step explanation:

the original price is 4500

for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be

18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price

2x - 3 > 15 or 3 + 7x < 17

Answers

Answer:

2x-3>15 and 3-7x>17 =  

3-7x>17

-7x>14

x<-2

Step-by-step explanation:

Sorry this is not a proper equation. I think you meant this equation.

2x-3>15 and 3-7x>17

for this equation the answer is

3-7x>17

-7x>14

x<-2

asap-worth 25% of overall

Answers

Answer:

ummm

Step-by-step explanation:

what is the question

The playing field for a particular sport is a rectangle whose length is 4 feet more than twice the width. The perimeter of the playing field is 200 feet. Find the dimensions of the playing field.

Answers

Answer:

The length and width of the field are 68ft and 32ft respectively

Step-by-step explanation:

Given:

Rectangular Playing Field

Perimeter. P = 200 ft

Required

The dimension of the field (Length and Width)

Let L and W represent the length and the width of the field.

From the question, L is 4 more than twice of W.

This means

L = 4 + 2W

Provided that the playing field is rectangular in shape;

We need to make use of the formula of perimeter of a rectangle.

P = 2(L + W)

Substitute 200 for P

200 = 2(L + W)

Divide through by 2

[tex]\frac{200}{2} = \frac{2(L + W)}{2}[/tex]

100 = L + W

Recall that L = 4 + 2W

Substitute 4 + 2W for L

100 = L + W becomes

100 = 4 + 2W + W

100 = 4 + 3W

Subtract 4 form both sides

100 - 4 = 4 + 3W - 4

96 = 3W

Divide both sided by 3

[tex]\frac{96}{3} = \frac{3W}{3}[/tex]

32 = W

W = 32

Recall that L = 4 + 2W

Substitute 32 for W

L = 4 + 2(32)

L = 4 + 64

L = 68

Hence the length and width of the field are 68ft anf 32ft respectively

Find the volume of this figure

Answers

Answer:

74

Step-by-step explanation:

you find the volume of each one by doing length * width * height and once you find the volume of all of them which is 36, 2, 36 you add them all together and you get 74

Answer:

74 ft

Step-by-step explanation:

Volume = length x width x height

For the 1st square - 3 x 3 x 4

For the rectangle in the middle - 1 x 1 x 2

For the last big square - 3 x 3 x 4

___________________________________

3 x 3 x 4 = 36

3 x 3 x 4 = 36

1 x 1 x 2 = 2

___________________________________

36 + 36 + 2 = 74

___________________________________

The volume of this figure is 74 ft

Please mark me as brainliest!!!

A rectangle is 36 inches x 48 inches.
Pin.
What is its perimeter?
What is its area?

Answers

Answer:

Area is: 1,728 inches

Perimeter is: 168 inches

Step-by-step explanation:

Area= Length times width

Perimeter= length plus length plus width plus width.

Answer:

1.728 is the perimeter. the area is 84.

Step-by-step explanation:

all you do multiply for perimeter and add for area.

What is the solution to the inequality |X-4|<3?
-7 1 x < -7 or x < -1
x> 1 or x<7

Answers

mutlak değerden + veya- çıkar.

|X-4|<3

-3 <x-4 <3

-3+4 <x <3+4

1 <x <7

The solution to the inequality |x-4| < 3 is x> 1 or x<7

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality,

|x-4| < 3.

Simplifying,

-3 < x - 4 < 3

Adding 4 to all sides,

1 < x < 7

Therefore, the solution is 1 < x < 7.

To learn more about the inequality;

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After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?

Answers

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

PLS HELP ME FULL WORK SHOWN DUE

Answers

To solve this system of equations, we have to cancel out a variable:

12x-4y+28=0

16y-110=48x

Reorder:

12x-4y=-28

-48x+16y=110

Multiply first equation by 4:

4(12x-4y=-28)

-48x+16y=110

=>

48x-16y=-112

-48x+16y=110

0x+0y=-2

0=-2

This can never be true, therefore there are NO SOLUTIONS

Answer:

No Solutions

12x-4y+28=0
16y-110=48x

3x-y=-7
16y-110=48x

3x-y=-7
24x-8y=-55

josh built a circular flower bed in his backyard. the radius of the flower bed is 12 feet. he wants to find the circumference of the flower bed. he uses 3.14 for pi. what is the approximate circumference for the flower bed?

Answers

75.34

Step-by-step explanation:

1.To find the circumference, you have to multiply the diameter times pi (3.14).

2.The radius (12) is half of the diameter

3. The diameter (12x2) is 24.

4. 24x3.14 is 75.36

So, the approx. circumference is 75.36.

Answer:

Step-by-step explanation:

Answer:75ft

In Mr.Ford’s class, 3 out of 25 students are left-handed. Whick of the following is the percent of “lefties” in Mr. Ford’s class?

Answers

Answer:

12%

Step-by-step explanation:

[tex]\frac{3}{25} = \frac{12}{100} = 12%[/tex]

PLS HELP question in picture

Answers

Answer:

yankee with no brim

Step-by-step explanation:

The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20

Answers

Answer:

First one:

4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

Answer:

4 x - 5 y = - 5 and 3 x + 10 y = - 20

Step-by-step explanation:

4 x - 5 y = -5 (1)

3 x + 10 y = -20 (2)

Multiply (1) by 2 and add to (×)

8x - 10y = -10

3x + 10y = -20

11x = -30

x = -30/11 = -2.727272

x = -2.7

4(-30/11) - 5y = -5

5y = -65/11

y = -13/11 = -1.18181818

y = -1.2

hope this helps..

Percentages equal to 100% and how?

Answers

Answer:

2 or more percents add up to 100% or one percent is 100%

Step-by-step explanation:

You have a square prism with a base side length of 8 in. and a height of 14 in. And a sphere with a diameter of 12 in.


A. Which figure has the lesser volume? SHOW ALL WORK




B. Would the same be true if the height of the prism was 14.2in? SHOW ALL WORK EXPLAIN

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?

Answers

Answer:

The area of the base is 14.5π in²

Step-by-step explanation:

The volume of a cylinder is given by

Volume =base\:area \times height

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

Hope this helpsBrainliest plzand have a wonderful day

Answer:

area of base =  14.5π in²

Step-by-step explanation:

the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:

V = πr²h

Here  the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:

V = πr²(12 in) = 174 π in³

Dividing both sides by 12 in isolates πr², which is the area of the base:

                               

                                   174π in³

area of base = πr² = --------------- = 14.5π in²

                                     12 in

Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2

Answers

the answer is C. because you add all of her games together that she has, but then she wants to sell half of them.

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

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What is the measure of angle x

Answers

Answer:

x =83

Step-by-step explanation:

supplementary angles add to 180 degrees

x+y = 180

We know y is 97

x+97= 180

Subtract 97 from each side

x+97-97= 180-97

x =83

Answer:

It is 83

Step-by-step explanation:

Supplementary is 180 degrees

180-97=83

PLZ HELP ASAP BRAINLIEST: Find the value of Y

Answers

Is Y the box in the triangle ??If so the value of y would be 90

f(x) = 5x^2 - x + 8
g(x) = 9x - 1

Answers

Answer:

Step-by-step explanation:

But there is not a question?

How many tenths is 0.4

Answers

0.4 has 4 tenths

Look at 0.4 as 0.40

Divide the 40 by 10 and get 4

-Hope this helped!

Answer:

The are 4 tenths in 0.4

Step-by-step explanation:

This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.

To work this out you would look at what place are the tenths and then look at the digit in the corresponding place

Which value in this data set is an outlier?
4,5, 1, 7,4,5,8,9,6,5,4,9,7
O A 1
OB. 2
3
OD
9

Answers

Answer:

1 is the out lier

Step-by-step explanation:

if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9

They are in order exept for the one.

The 1 would be outlier
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