MATHEMATICS HIGH SCHOOL

Rewrite the equation below so that it does not have fractions

2/3x-5=3/4

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

The best way to do this problem is to find the lowest common denominator.

2/3 : 3*2/(3*3)

3/4 : 3*3 / 3*4

Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12

So multiply the equation by 12

(2/3 x- 5  = 3/4 ) 12

8x - 60 = 9                                 Add 60 to both sides

8x - 60 = 9                                 Combine

8x = 69                                       Divide by 8

x = 69/8

x = 8  5/8

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Compare the slopes of the lines for y = f(x) andy = g(x) to determine if each pair of lines is parallel.
SEE EXAMPLE 1
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Answers

Answer:

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) will be given by,

Slope 'm' = (y_2-y_1)/(x_2-x_1)

Function 'f' passes through two points (0, 20) and (1, 35).

Slope of the line m_1 = (35-20)/(1-0) = 15

Similarly function 'g' is passing through (0, 22) and (1, 37).

Slope of the line m_2=(37-22)/(1-0) = 15

Therefore, m_1=m_2

Since, slopes of both the lines are equal, lines will be parallel.            

A set of equations is given below:Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations?


2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

The given set of equations is

Equation A: c = 2d + 1

Equation B: c = 3d + 5

Using equation A and equation B, equate the value of c.

2d+1=3d+5

1-5=3d-2d

-4=d

The value of d is -4. So the value of c is

c=2d+1=2(-4)+1=-7

The equation 2d+1=3d+5 is used to find the solution to the set of equations, therefore the correct option is 1.
2d+1=3d+5.
If both equations equal c, then both equations can be equal to each other.

Please help I don't know what to do for number 40

Answers

x - tickets for adults
y - for students

6x+4.5y=1155\nx+y=240\n\n6x+4.5y=1155\n-4.5x-4.5y=-1080\n----------\n1.5x=75\nx=50\n\n50+y=240\ny=190

Which graph represents the solution set of the system of inequalities?

Answers

Answer:

D (right-down graph)

Step-by-step explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

y=\frac13x-3 - ascending function, because a=\frac13, so a>0

y=-3x-3 - descending function, cause a=-3, so a<0

We refuse both graphs on the left side, these are two ascending functions

y\ge\frac13x-3 is the area above the ascending function y=\frac13x-3

y<-3x-3 is the area below the descending function

This causes that D (right-down graph) is a correct answer

Susan volunteers at her local animal shelter. She counts the dogs and notices that there are a total of 37 dogs. Of those, 24 are female. What percentage of the dogs are male?

Answers

Answer:

35.135% of dogs are males ( approx )

Step-by-step explanation:

Given,

Total dogs = 37,

Also, dogs who are female = 24,

So, the male dogs = 37 - 24 = 13,

Hence, the percentage of male dogs = \frac{\text{Male dogs}}{\text{Total dogs}}* 100

=(13)/(37)* 100

=(1300)/(37)

=35.135\%

If there is the same slope but different y-intercepts can there paths ever cross?

Answers

if the gradient is the same but there are different y intersects, the straight lines will never cross but they will be parallel.the answer is they will never cross
No, because lines that have same slopes are parallel and parallel lines never cross. So they will not cross. Hope this helps. 
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