Steel is a mixture of iron, carbon, and other elements. The table shows the number of parts each element in two different-sized samples of steel.

A table with the composition of two samples is shown. Sample one is ninety parts iron, three parts carbon, and seven parts other elements. Sample two is forty-five parts iron, one and a half parts carbon, and three and a half parts other elements.

Question 1
Part A

What is the unit rate of parts iron to parts carbon?

Enter the correct answer in the box.

parts iron per part carbo

Answers

Answer 1

Answer:

Step-by-step explanation:

Sample One, Parts and %      Sample Two, Parts and %

 Fe    90          (90%)                           45             (90%)

   C      3           (3%)                               1.5              (3%)

Other   7            (7%)                            3.5             (7%)

          100 parts                           50 parts

Parts Fe/Parts Carbon = 90/3 or 30/1  in both cases [45/1.5 = 30/1]


Related Questions

Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 1hr 50 min. Amanda comes in second with a time of 2hr 42 min. Bryce finishes last with a time of 3hr 16 min. Find the distance (in mi) for each part of the race.

Answers

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

Each racer travels the same distance and the sum of the distances travelled ([tex]x[/tex]), in miles. By definition of average speed ([tex]v[/tex]), in miles per hour, we get the following system of equations:

Amanda

[tex]t_{A} = \frac{x_{R}}{v_{A, R}}+\frac{x_{S}}{v_{A,S}}+\frac{x_{C}}{v_{A,C}}[/tex] (1)

Where:

[tex]x_{R}[/tex] - Running distance, in miles.[tex]x_{S}[/tex] - Swimming distance, in miles.[tex]x_{C}[/tex] - Cycling distance, in miles. [tex]v_{A,R}[/tex] - Speed of Amanda in the running distance, in miles per hour.[tex]v_{A,S}[/tex] - Speed of Amanda in the swimming distance, in miles per hour.[tex]v_{A,C}[/tex] - Speed of Amanda in the cycling distance, in miles per hour.[tex]t_{A}[/tex] - Total time of Amanda, in hours.

Bryce

[tex]t_{B} = \frac{x_{R}}{v_{B, R}}+\frac{x_{S}}{v_{B,S}}+\frac{x_{C}}{v_{B,C}}[/tex] (2)

Where:

[tex]v_{B,R}[/tex] - Speed of Bryce in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Bryce in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Bryce in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Bryce, in hours.

Corey

[tex]t_{C} = \frac{x_{R}}{v_{C, R}}+\frac{x_{S}}{v_{C,S}}+\frac{x_{C}}{v_{C,C}}[/tex] (3)

Where:

[tex]v_{B,R}[/tex] - Speed of Corey in the running distance, in miles per hour.[tex]v_{B,S}[/tex] - Speed of Corey in the swimming distance, in miles per hour.[tex]v_{B,C}[/tex] - Speed of Corey in the cycling distance, in miles per hour.[tex]t_{B}[/tex] - Total time of Corey, in hours.

If we know that [tex]t_{A} = 2.7\,h[/tex], [tex]v_{A,R} = 10\,\frac{mi}{h}[/tex], [tex]v_{A,S} = 4\,\frac{mi}{h}[/tex], [tex]v_{A, C} = 20\,\frac{mi}{h}[/tex], [tex]t_{B} = 3.27\,h[/tex], [tex]v_{B,R} = 7.5\,\frac{mi}{h}[/tex], [tex]v_{B,S} = 6\,\frac{mi}{h}[/tex], [tex]v_{B,C} = 15\,\frac{mi}{h}[/tex], [tex]t_{C} = 1.833\,h[/tex], [tex]v_{C,R} = 15\,\frac{mi}{h}[/tex], [tex]v_{C,S} = 3\,\frac{mi}{h}[/tex] and [tex]v_{C,C} = 40\,\frac{mi}{h}[/tex], then the solution of the linear system of equations is:

[tex]\frac{x_{R}}{10} + \frac{x_{S}}{4} + \frac{x_{C}}{20} = 2.7[/tex] (4)

[tex]\frac{x_{B}}{7.5}+\frac{x_{S}}{6} +\frac{x_{C}}{15} = 3.27[/tex] (5)

[tex]\frac{x_{R}}{15}+\frac{x_{S}}{3} +\frac{x_{C}}{40} = 1.833[/tex] (6)

[tex]x_{R} = 4.23\,mi[/tex], [tex]x_{S} = 1.98\,mi[/tex], [tex]x_{C} = 35.64\,mi[/tex]

The running distance is 4.23 miles, the swimming distance is 1.98 miles and the cycling distance is 35.64 miles.

We kindly invite to check this question on systems of linear equations: https://brainly.com/question/20379472

Peter was thinking of a number. Peter adds 8 to the number, then doubles the result to get an answer of 57.4. Form an equation with
x
from the information.

Answers

Answer:

x+8*2=57.4

x=41.4

Step-by-step explanation:

Peter is thinking about a number. So, let's represent that number by x. So, he adds 8 to that number. x+8 so far. Then he doubles the result. x+8*2  to get an answer of 57.4. x+8*2=57.4. Ok, now in order to solve for x we would take 8*2 and get 16. 57.4-16=41.4. Now we know that x is 41.4. Substitute x into the equation. 41.4+8*2=57.4. 57.4=57.4. Have a great day! :)))))

4. Answer a through c

Answers

Answer:

Hello is this math i can help you with your answer

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

what is the slope of the line // take my points !!!!

Answers

Answer:

Im not sure

Step-by-step explanation:

Im not sure what the exact slope is, but instead of being useless, and a waste of your time, here is how to find the slope.To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points

Answers

a = 70°

b = 55°

c = 40°

Multiplication:
(a) 7/3×2/9 (b) 3/7×5/11 (c) 15/8×6/25 (d) 21/20×15/14
Division:
(a) 3/4÷5/7 (b) 9/5÷6/11 (c) 15/8 ÷6 (d) 8/7÷12
Culcul constant des fractions:
(a) 3/7+15/7×3/2 (b) 9/5×(1/4-5/12) (c) (3/8+7/5)÷(9/4-5/3)​

Answers

Multiplication:-

a. 7/3 × 2/9 = 7x2/3x9 = 14/27.

b. 3/7 × 5/11 = 3×5/7×11 = 15/77.

c. 15/8 × 6/25 = 3×3/4×5 = 9/20.

d. 21/20 × 15/14 = 3×3/4×2 = 9/8.

Division:

a. 3/4 ÷ 5/7 = 3/4 x 7/5 = 21/12 = (3 x 7) / (3 x 4) = 7/4

b. 9/5 ÷ 6/11 = 9/5 x 11/6 = 99/30 = (3 x 33) / (3 x 10) = 33/10

c. 15/8 ÷ 6 = 15/8 x 1/6 = 15/48 = (3 x 15) / (3 x 16) = 15/16

d. 8/7 ÷ 12 = 8/7 x 1/12 = 8/84 = (4 x 2) / (4 x 21) = 2/21.

Culcul constant des fractions:

a. 3/7 + 15/7 x 3/2

= 3/7 + 45/14

= (3 x 2) / (7 x 2) + 45/14

= 6/14 + 45/14

= 51/14

b. 9/5 x (1/4 - 5/12)

= 9/5 x [(1 x 3) / (4 x 3) - 5/12]

= 9/5 x (3/12 - 5/12)

= 9/5 - 2/12

= (9 x 12) / (5 x 12) - (2 x 5) / (12 x 5)

= 108/60 - 10/60

= 98/60

= (2x 49) / (2 x 30)

= 49/30.

c. (3/8 + 7/5) ÷ (9/4 - 5/3)

= [(3 x 5) / (8 x 5) + (7 x 8) / (5 x 8)] ÷ [(9 x 3) / (4 x 3) - (5 x 4) / (3 x 4)]

= (15/40 + 56/40) ÷ (24/12 - 20/12)

= 71/40 ÷ 4/12

= 71/40 x 12/4

= 852/160

= (4 x 213) / (4 x 40)

= 213/40.

Hope this helps..

convert into precent...
convert 0.(6) as a precent the parenthesis mean something

Answers

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

60% but usually if something is in parentheses it’s multiplication so it could be 36% aswell

Find the measure of angles A and B in the diagrams below.​

Answers

Answer:

A = 147°

B = 33°

which type of image format is constructed using proportional formulas rather than pixels?

Answers

Answer:

vector.

Step-by-step explanation:

A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.

A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

How to write in simplified slope intercept form

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

1.  Pick tow points that is on the line; (1, 1) and (2, 5).

2. Find the Slope:  Slope = (change in the y-values)/(change in the x-values)

   Slope = (5 - 1)/(2 - 1) = 4/1 = 4

3. Use the slope and one point on the graph and substitute into y = mx + b

    and solve for "b"

          y = mx + b                           Slope = 4  point (1, 1)

           1 = 4(1) + b

            1 = 4 + b

           1 - 4 = b

            -3 = b

4. Write the equation of the line: m = 4 and b = -3

     y = 4x - 3

volume of a cube with 7,5 cm

Answers

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

11.
A circle with a radius of 6 cm is enlarged to be a circle with a radius of 15 cm. What scale
factor was used to dilate the small circle into becoming the larger circle?
a) 0.4
b) 4.5
C) 2.5
d) 9.0

Answers

I believe the answer is B) 4.5
I think the answer is A :)

x/-4 - 4 = -13 How do you solve for x? I am really struggling on this someone please help​

Answers

Answer:

x/-4=-13+4

x/-4=9

x=(9)(-4)

x=-36

Evaluate the formula χ2=
(n−1)s2
σ2 when σ=3.32​, n=38​, and s=3.36.

Answers

Answer:

Step-by-step explanation:

1 inch = 2feet . what would be the real life measurement of an object that measures 3 inches on a scale drawing

Answers

Given,

1 inch = 2 feet

3 inches = ? feet

3 inches = (2 × 3) feet

3 inches = 6 feet

=》3 inches in the scale drawing is 2 feet in real life.

_______

Hope it helps ⚜

At the sewing store, Brittany bought a bag of mixed buttons. The bag included 30 buttons, of
which 10% were large. How many large buttons did Brittany get?

Answers

Answer:

3 large buttons

Step-by-step explanation:

Multiply 30 by .10 to get 3 large buttons

what is the improper fraction 2 7/8what is the improper fraction 8 2/3

Answers

Answer:

1. 23/8

2.26/3

Step-by-step explanation:

How would you write 262 × 3 in addition form?
600 + 18 + 6
600 + 180 + 6
618 + 6
600 + 180 + 6 × 3

Answers

Answer:

262x3=768 so you need to find which answer equals 786 in addition form.

option a is equal to 624

option b is equal to 786

option c is equal to 624

option d is equal to 2358

your answer would be option b.

Step-by-step explanation:

hope this helps

PLZ HELP ME with this hw

Answers

C because from the eqn :AB=AD=DC=BC so it is a parallelogram or a rhombus

8. Write an equation for the line in slope- intercept form.​

Answers

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

7+(4x8)-9
i need help this is weird

Answers

Answer:

30

Step-by-step explanation:

7+(4*8)-9

Multiply first inside the parentheses

7+(32)-9

Then add and subtract from left to right

39 - 9

30

Answer:

If x is a variable then the answer is 4x⁸ - 2

If x is a multiplication representation then the answer is 30

Step-by-step explanation:

If x is a variable:

1) Eliminate redundant parentheses

[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]

2) Subtract the numbers

[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]

3) Rearrange Terms

[tex]-2+4x^{8} \\4x^{8} -2[/tex]

What is p squared in math?

Answers

it should be the variable to be solved, so I don’t understand the specific situation? maybe you can elaborate?

what is the value of x + y?​

Answers

Answer:

55°

Step-by-step explanation:

180°-70°=110° (sum of angles on a straight line gives 180°

The size of each of the four remaining angles=110°/4 = 27.5°

<X + <Y = 27.5° + 27.5°=55°

[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x

Answers

Answer:

x = √11

Step-by-step explanation:

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

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

Find the measures of the interior angles.





what is angle C

Answers

35 Degrees

The total of a triangle will always be 180. So

110 + 35 + X=180
-110 -110

35+X=70
-35 -35

X=35

15.
(05.04 MC)

Estimate and solve 4,298 ÷ 56 = ________. (1 point)
76 r 42
76 r 8
78 r 42
82 r 8 pls help asap!

Answers

Answer:

82 r 8

Step-by-step explanation:

i took the flvs test and its right!

The area of a circle is 88.42cm2. Find the length of the radius rounded to 2 DP.

Answers

Answer:

r=5.31

Step-by-step explanation:

A=π r²

88.42cm²=3.14r².................π =3.14

88.42cm²÷3.14=r²

r²=28.16cm²

r=5.31

5. What percent of 36 is 24?
A. 50%
B. 66.7%
C. 75%
D. 80%

Answers

Answer:  B.  66.7%

Step-by-step explanation:

Divide 24 by 36:

24/36 = 2/3

B.  66.7%

Answer:

answer is B I just had the test

Step-by-step explanation:

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