Mark’s weekly wage is $500. He spends $200 on rent, 25% on food and saves a fifth. How much does he have left to spend?

Answer:

Let, the c.p be x.

Given,

profit % = 20%

S.P = rs 816

c.p = x

We know,

profit = p% of c.p

         = [tex]\frac{20}{100}[/tex] * x

         = [tex]\frac{x}{5}[/tex]

now,

   C.p = profit + s.p.

        x = [tex]\frac{x}{5}[/tex] + 816

        x = [tex]\frac{x+ 4080}{5}[/tex]

       5x = x + 4080

       5x-x = 4080

       4x = 4080

         x = [tex]\frac{4080}{4}[/tex]

         x = Rs 1080

Hence, the c.p is Rs. 1080

Answer:

E.  12

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse

1 : √3 : 2

The short leg is 4√3.

The long leg is √3 times the short leg.

a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12

Answer: E.  12

Answer:

Median = 15

Mean = 22

Step-by-step explanation:

Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median

1, 11, 14, 15, 31, 35, 47

the middle number is 15

so 15 will be our median

Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set

[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]

= [tex]\frac{154}{7}[/tex]

= 22

so our mean will be 22

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

b = 8

Answer: b = 8

Step-by-step explanation:

Given

7b - 7 - 8b = -15

Combine like terms

-b - 7 = -15

Add 7 on both sides

-b - 7 + 7 = -15 + 7

-b = -8

Divide -1 on both sides

-b / -1 = -8 / -1

b = 8

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 20 + 13 + 21 = 54 → D

Answer:

I know mid point is (2,2)

Step-by-step explanation:

Answer:

Vc. Tính giai cấp

Step-by-step explanation:

Answer:

B. neither perpendicular nor parallel

The correct option is (B).

To find the relationship between the lines with equations.

Statement that the values of two mathematical expressions are equal.

The given equation :

4x - 8y = 9

8x - 7y = 9

By the use of graphing calculator ,

The points obtained by solving these equation are (0,-1.286).

The relationship between the lines with equations 4x 8y = 9 and 8x 7y = 9 are neither perpendicular nor parallel.

The correct answer is neither perpendicular nor parallel.

Learn more about equation here:

https://brainly.com/question/24362056

#SPJ2

Answer:

For it to be parallel the answer is B (3)

Answer:

B) 3

Explanation:

If two lines are parallel that means that their equations have the same value of slope.

Answer:

Step-by-step explanation:

I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:

[tex]V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx[/tex]

where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:

[tex]V=\pi\int\limits^5_3 {3^2}-0^2 \, dx[/tex]  and

[tex]V-\pi\int\limits^5_3 {9} \, dx[/tex]  and integrating:

[tex]V=\pi(9x\left \} {{5} \atop 3}} \right.[/tex] and using the First Fundamental Theorem of Calculus:

V = π(9(5) - 9(3)) and

V = π(45 - 27) so

V = 18π units cubed or in decimal format,

V = 56.549 units cubed

Answer:

Ascending order:

Decreasing order:

Answer:

Step-by-step explanation:

The cross-section is an 8”×13” rectangle.

Area = 104 square inches

Answer:

3x^3y^7.

Step-by-step explanation:

8 * x^2 * y^3 * 3/8 * x * y^4

= 8 * 3/8 * x^2 * x * y^3 * y^4

= 3x^3y^7.

Answer:

3x^3y^7

Step-by-step explanation:

( 8 x^2 y^3) *( 3/8 x y^4)

Multiply the coefficients

8 * 3/8 = 3

Multiply the x terms

x^2*x = x^3

Multiply the y terms

y^3 * y^4 = y^(3+4) = y^7

Put them back together

3x^3y^7

Answer:

B. 15:20

Step-by-step explanation:

The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.

Ratio A:   27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.

Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.

Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.

The only one that isn't equivalent to 3:5 is B.

Hope this explanation helps :)

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

Answer:

true?

Step-by-step explanation:

A rational number can be expressed as the quetient a\b where b=0 is true

Answer:

pls correct your question

Answer:

(x+7)(x-7)

Step-by-step explanation:

x²-49

=x²-7²

=(x+7)(x-7)

Answer:

(x+7) (x-7)

Step-by-step explanation:

 [tex]\sqrt x^{2}[/tex]-49

[tex]\sqrt x^{2}[/tex] - [tex]\sqrt{49}[/tex] = (x+7) (x-7)

Answer:

f(- 3) = - 3

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x) , that is

f(- 3) = - (- 3)² + 6 = - 9 + 6 = - 3

Answer:

-3

Step-by-step explanation:

Have x= -3.

f(-3) = -(-3)² + 6

       = -3

Answer:

higddthhgffhjkkkmjguyfddd

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

find the square root and of 1+i√3​