1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natita [175]
3 years ago
12

(75 points) ASAP Use a system of equations to solve this problem.

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

Here x is the number of grams of the 5% tin alloy and y is the number of the 45% tin alloy,

Since, x gram and y gram is mixed to obtain 100 gram of alloy,

⇒ x + y = 100 --------(1)

Also, in the resultant alloy there is 25 % of tin,

Thus, 5% of x + 45% of y = 25% of 100

⇒ 5 x + 45 y = 2500

⇒ x + 9 y = 500  ------(2)

Equation (1) - Equation (2),

- 8 y = - 400

y = 50

By putting the value of y in equation (1),

We get , x = 50

Therefore, 50 gram of alloy that is 5% tin is mixed with 50 gram of alloy that is 45% tin for obtaining 100 gram of alloy that is 25% of tin.

You might be interested in
Please help ASAP! Correct answer only! This assignment is due today.
astra-53 [7]

Answer:

<em>Probability ≈ 0.0714</em>

Step-by-step explanation:

Consider permutation and combination;

Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714

5 0
3 years ago
Using the similar triangles, which equation could be used to find the slope of line AB?
NARA [144]

Answer:

A) slope = p/q

Step-by-step explanation:

Slope of any given can be found using the formula, \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}.

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

\frac{rise}{run} = \frac{m}{n} = \frac{p}{q}.

✅Therefore, slope of line AB = p/q

6 0
3 years ago
What is an<br> equation of the line that passes through the points (-4, 2) and<br> (-8, -3)?
Katen [24]

Answer:

y = 1\frac{1}{4}x+7

Step-by-step explanation:

The equation of a straight line can be written as y=mx+b.

With the pair of coordinates (coordinates are written in the form (x,y) ) , the following can be written:

2=-4m+b

-3=-8m+b

To solve for a variable, we can use elimination:

-4m+b-(-8m+b)=2-(-3)  (subtract the second equation from the first)

-4m+b+8m-b=2+3

4m=5 (b is eliminated)

m=\frac{5}{4}

=1\frac{1}{4}

To solve for the other variable, we can use substitution:

2=-4m+b

2=-4(1\frac{1}{4})+b

2 = -5 + b

b = 7

\therefore y=1\frac{1}{4}x+7 is the linear equation for the line that passes through the points (-4, 2) and (-8,-3)

8 0
3 years ago
Divide using synthetic division.
Mashutka [201]
B I hoped I helped !!!:)
4 0
3 years ago
(09.02 HC)
zlopas [31]

Answer:

Vertex = (12,64)

The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

X-intercepts: 4 and 20

The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

Step-by-step explanation:

To find the vertex we can use the formula for the x-coordinate of the vertex:

x_v = -b/2a

Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)

So we have that:

x_v = -24 / (-2) = 12

The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:

f(x) = -12^2 + 24*12 - 80 = 64

So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

To find the x-intercepts, we need to make f(x) = 0 and find the values of x:

-x2 + 24x - 80 = 0

Delta = 24^2 - 80*4 = 256

sqrt(Delta) = 16

x1 = (-24 + 16)/(-2) = 4

x2 = (-24 - 16)/(-2) = 20

The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

5 0
3 years ago
Other questions:
  • Solve the inequality -x/2 &lt; 4
    12·2 answers
  • A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce
    8·2 answers
  • A car travels 1.9 miles from Point A to Point B. The car then turns at Point B and travels 1 mile to Point C, before heading bac
    13·1 answer
  • In a right triangle where one of the angles measure 30° what is the ratio of the length of the side opposite the 30°angle to the
    13·1 answer
  • Let f(x) =x^2+10x+29<br><br><br> What is the minimum value of the function?<br><br><br> ____
    12·1 answer
  • PLEASE HELPPPPPPPpppppppppppppp
    12·2 answers
  • A cone has a volume of 33 in.³ if a cylinder has the same height and the same radius as the cone what is the volume of the cylin
    6·1 answer
  • Find the unit rate.
    8·2 answers
  • Find f(1/3) if f( n ) = 3 n
    10·2 answers
  • PLEASE HELP I REALLY NEED AN ANSWER BADLYYYY
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!