How many kg of an alloy with 90% copper must be added to 6 kg of another alloy with 15% copper to obtain an alloy that is 40% copper?

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Considering the linear function, the features are given as follows:

9. y-intercept: (0,2).

10. Equation: y = 5x/6 + 2.

11. y when x = 12: y = 12.

12. x when y = 4: x = 2.4.

13. y when x = -6: y = -3.

The slope-intercept representation of a linear function is given by the rule shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In this problem, the function crosses the y-axis at y = 2, hence the intercept is:

b = 2.

When x increases by six, y increases by five, hence the slope is:

m = 5/6.

Thus the equation is:

y = 5x/6 + 2.

The numeric values for the function are given as follows:

The solution when y = 4 is given as follows:

4 = 5x/6 + 2.

5x/6 = 2

5x = 12

x = 12/5

x = 2.4.

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The formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

It is given that, Harry asked a sample of 4 people how many siblings they had. Here are their responses:0,0,1,3  The mean is 1 sibling.

[tex]\bar x =1 \\\\ n =4[/tex]

The formulas give the standard deviation as,

[tex]\rm s_x = \sqrt{\frac{(x_1-\bar x)^2+(x_2-\bar x)^2 +(x_3- \bar x)^2 }{n-1} } \\\\ s_x = \sqrt{\frac{(0- 1)^2+(0-1)^2 +(1- 1)^2 + (3-1)^2}{3} }[/tex]

Thus, the formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

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Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

Percent derived from the Latin word, per centum which means “by the hundred.”

Percentage is the number or ratio which is expressed in the fraction of 100 it indicate the hundredth part of any quantity. It is denoted as "%". It is used to compare the first quantity against the second. It can be calculated by dividing the value with the total value and multiplied by 100.

The formula used to calculate percentage is= (value/total value)×100%.

For given information,

Percentage for Maths test = (27/42)*100 = 64.2%

Percentage for Science test= (39/61)*100 = 63.9%

Thus, Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

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Answer:

9.995%

Step-by-step explanation:

principal-10760

n(time)-17

rate-?

amount-54343

[tex]a = p(1 + \frac{r}{100} ) {}^{n} [/tex]

54343=10760(1+(r/100))^17

5.05=(1+(r/100))^17

1.09995=1+(r/100)

0.09995=r/100

r=9.995%

Kevin needs to read 57 novels in 19 months.

Given,

The number of novels Kevin needs to read in a month = 3

N = Number of novels Kevin needs to read in M months.

Write an equation with M and N.

That is,

Kevin needs to read 3 novels in one month.

So, number of novels, N Kevin reads in M months,  3M = N

The equation is;

3M = N

Now,

The number of months Kevin needs to read the novels = 19

Then,

The number of novels Kevin reads in 19 months;

3M = N

3 × 19 = 57

That is,

Kevin needs to read 57 novels in 19 months.

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Answer:

A. x= .100

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did the question

Answer:

I'm pretty sure it's C... rational number because 0.3% can be written like a fraction!

Step-by-step explanation:

I'm sure that's the answer hope it helps!

Good luck!!!

Answer: [tex]x=-3z+4, y=-2z+1, z=z[/tex]

Step-by-step explanation:

We have the system:

[tex]x-2y-z=2\\\\-x+3y+3z=-1\\\\-x+4y+5z=0[/tex]

Adding the first and second equations yields [tex]y+2z=1[/tex].

Adding the first and third equations yields [tex]2y+4z=2[/tex].

We know that there are infinitely many solutions, so [tex]y=1-2z[/tex].

Substituting this result back into the first equation,

[tex]x-2(1-2z)-z=2\\\\x-2+4z-z=2\\\\x+3z-2=2\\\\x=-3z+4[/tex]

The solution in term of z variable is; x = 4 - 3z

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have the linear system:

x - 2y - z = 2

-x + 3y + 3z = -1

-x + 4y + 5z = 0

Adding the first and second equations;

y + 2z = 1

Now Adding the first and third equations yield;

2y + 4z = 2

We know that there are infinitely many solutions, so;.

y = 1-2z

Then Substituting this result back into the first equation;

x - 2y - z = 2

x - 2( 1-2z) - z = 2

x - 2 + 4z - z = 2

x -4 + 3z = 0

x = 4 - 3z

The solution in term of z variable is; x = 4 - 3z

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Answer:

the answer is that there is 8 percent that they all will spend an hour on the internet.

Step-by-step explanation:

7/15 rows are left after crows ate some rows.

Total no. of rows he planted = 1 2/3

                                               = 1 + 2/3

                                               = (3 + 2)/3

                                               = 5/3

No. of rows crows ate = 1 1/5

                                     = 1 + 1/5

                                     = (5 + 1)/5

                                     = 6/5

No. of rows left = 5/3 - 6/5

                         = (25 - 18)/15

                         = 7/15

Hence, no. of rows left is 7/15.

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The radius is the distance from the center to a point on a circle.

The diameter is twice the radius.

1. 3 yd, 6 yd

2. 46 in, 92 in

3. 23 ft, 46 ft

Answer:

86

Step-by-step explanation: 89+92+81+x=total score=262+x

avg score = 87= (262+x)/4

262+x=348

.

x=86

.

Check,,,(89,92,81,86)/4 = 87

Answer: 86

Step-by-step explanation:

Answer:

when x = 3

8(3)

8*3=24

all you have to do is to substitute x into the expression

Answer: 15 feet

Step-by-step explanation:

180 inch = 15 feet

The total pay change for each issue of Math is Fun sold by Carlos is $110. If he doesn't sell copies of Math is Fun, Carlos's gross wages are $2500 for him.

Given that:

x represents the number of copies of Math is Fun he sells. Suppose that x and y are related by the equation 2500 + 110x = y.

Equation: The equation is the values of two expressions that are equal.

Here,

For equation,

y = 2500 + 110x

The change in Carlos's total pay for each copy of Math is Fun he sells,

Differentiate the equation,

dy/dx = 110

The total pay for each copy of Math is Fun he sells is $110.

Carlos's total pay if he doesn't sell any copies of Math is Fun,

x = 0

y = 2500

Carlos's total pay if he doesn't sell any copies of Math is Fun is $2500.

Thus, the change in Carlos's total pay for each copy of Math is Fun he sells is $110. Carlos's total pay if he doesn't sell any copies of Math is Fun is  $2500.

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For the given points S(2,-9), 7(6, -6), U(9,-7), and V (6, y), the value of y such that ST is perpendicular to UV is -3.

What is the slope of a line?

A line's slope, also known as its gradient, is defined as the value of a line's steepness or direction in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.

If P(a, b) and Q(c, d) are two given points on a coordinate plane, then the slope of line PQ can be computed using the formula

                        [tex]Slope(m) = \frac{d-b}{c-a}[/tex]

The slope of two perpendicular lines:

If two perpendicular lines are given then the product of their slopes will be equal to -1.

The given points are S(2,-9), 7(6, -6), U(9,-7), and V (6, y).

The slope of line ST   [tex]=\frac{-6-(-9)}{6-2}[/tex]

                                    [tex]= \frac{-6+9}{4}\\ = \frac{3}{4}[/tex]----------------(I)

Now, finding the slope of line UV,

The slope of line UV [tex]=\frac{y-(-7)}{6-9}[/tex]

                                  [tex]=\frac{y+7}{-3}[/tex]  ---------------(II)

Now, by using the property of slopes of two perpendicular lines, we can write

    Slope of line ST × Slope of line UV = -1

                                [tex]\frac{3}{4} *\frac{y+7}{-3}=-1 \\y+7=4\\y=4-7\\y=-3[/tex]

Hence, For the given points S(2,-9), 7(6, -6), U(9,-7), and V (6, y), the value of y such that ST is perpendicular to UV is -3.

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The solution is

1) Angles 7 and 6 are Vertical angles

2) Angles 1 and 8 are Alternate exterior angles

3) Angles 4 and 5 are Alternate interior angles

4) Angles 2 and 6 are Corresponding angles

5) Angles 6 and 8 are Complementary angles

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Given data ,

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Each pair of alternate angles around the transversal are equal to each other.

The pairs of angles formed on the same side of the transversal that are either both obtuse or both acute and are called corresponding angles and are equal in size.

Each pair of corresponding angles on the same side of the intersecting transversal are equal to each other.

Co-interior angles on the same side of an intersecting transversal add to 180°

Hence , the angles are

1) Angles 7 and 6 are Vertical angles

2) Angles 1 and 8 are Alternate exterior angles

3) Angles 4 and 5 are Alternate interior angles

4) Angles 2 and 6 are Corresponding angles

5) Angles 6 and 8 are Complementary angles

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The grid has 100 squares and each exercise will be represented by the following percentages:

Percentages refer to the ratio or proportion of a value when compared to the whole.

Percentages are fractional values, computed as a quotient of the part with respect to the whole, and usually expressed over 100.

The percentage sign (%) is used to depict values in percentages.

Exercise          Minutes   Percentage

Endurance:          8                 20% (8/40 x 100)

Strength:            16                 40% (16/40 x 100)

Balance:              4                  10% (4/40 x 100)

Flexibility:          12                 20% (12/40 x 100)

Total                 40                100% (40/40 x 100)

Thus, the percentage representation of the exercises on the grid shows that Endurance occupies 20%, Strength 40%, Balance 10%, and Flexibility 30%.

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In the grid below, represent the percentage of each exercise.

Let W=width of wing

The ratio (Length/Width) is given and is constant, so you can set ratios equal (this is a proportion):

      Length / Width = 8/1 = 32.3/W

 (1) cross-multiply, (2) invert both sides, multiply both sides by one of the denominators ... any legal operation of algebra in order to isolate W.

multiply both sides by (W/8):

                      W = 32.3/8 = 4.04

Answer:

.......

.......

Step-by-step explanation:

.....

.....

.....

....

....

Answer:

Yes, this triangular table is a right triangle. It is a 3, 4, 5 Pythagorean triple.

What is a right triangle?

A right triangle is a triangle in which one of the angles is 90 degrees, making the other two angles acute angles.

What is a Pythagorean triple?

A Pythagorean triple is a set of three whole numbers, a < b < c, for which,

a^2 + b^2 = c^2

Answer:

yes it is a right triangle

Step-by-step explanation:

to find out we can use the Pythagorean theorem

a^2+b^2=c^2

We can use the shorter angles for a and b and see if this equals 5

3^2+4^2=c^2

9+16=c^2

25=c^2

Square root both sides

5=c

This triangle is a right triangle

Hopes this helps please mark brainliest

Answer: a,c

Step-by-step explanation:

Answer:

y=-10-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

y=-10x-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer: First, I substituted x for 11. -2 times 11 = -22. -22 + 5 equals -17. Therefore, f(11) or y, is equal to -17.

Step-by-step explanation:

Answer:

  B by a factor of about 5.208

Step-by-step explanation:

Given two right square pyramids (A and B) with perimeters 396 m and 496 m, and corresponding heights of 72 m and 239 m, you want to which has the greater volume and by what factor.

The volume of a right square pyramid is proportional to its height and to the square of its perimeter.

Pyramid B has both a longer perimeter and a greater height, so Pyramid B has the greater volume.

The constant of proportionality between the dimensions and the volume is the same for both pyramids, so the ratio of their volumes is ...

  Vb/Va = ((Pb)²Hb)/((Pa)²Ha) = (496²·239)/(396²·72) ≈ 5.208

Pyramid B has about 5.2 times the volume of Pyramid A.

__

Additional comment

The volume of a right square pyramid is given by ...

  V = 1/3s²h . . . . . where s is the side length and h is the height

  V = 1/3(P/4)²h = (1/48)P²h . . . . where P is the perimeter of the base

Answer:

1.23457

Step-by-step explanation:

You count 5 places from the decimal point. Then since 6 is greater than 5 you round up

(D) The range is the output.

The domain of a function is the set of values that we are allowed to enter into our function. The x values for a function like f make up this set (x).

The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set. They are the y values.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. The domain and range of a function are the components of a function.

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The equation represents the relationship between the x and y values is y = 2.75x

The first point = (0,0)

The second point = (4,11)

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The slope of the line m = (11-0) / (4-0)

= 11 / 4

= 2.75

The slope intercept form is

y = mx + b

m is the slope of the line

b is the y intercept

The equation will be

y = 2.75x

Hence, the equation represents the relationship between the x and y values is y = 2.75x

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Answer: Table A

Step-by-step explanation:

The table must have a constant rate of change on both sides. Table B goes up by 2, then 2, then 3, which breaks the pattern (this is in the y-axis).

Table C goes up by 3, then 4, then 4, which is ALSO an inconsistent pattern (in the x-axis). Table D goes up by 2, then 1, then 2, which is also inconsistent (y-axis).

This leaves Table A, which has a consistent pattern on both sides.