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
Basile [38]
3 years ago
14

4,275.50= 391/2 of ____

Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0

Answer:

The required value for the blank is 21.8696

Step-by-step explanation:

Consider the provided information,

4,275.50= 391/2 of ____

Replace blank with x.

4,275.50 = 391/2 of x

Use sign of multiplication for "of".

4,275.50 = \frac{391}{2} \times x

Solve the above expression for x.

x=\frac{4,275.50\times 2}{391}

x=21.8696

Thus, the required value for the blank is 21.8696

You might be interested in
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? -Above the solid line
baherus [9]

The statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Further explanation:

In the question it is given that the inequality is 6y-3x>9.  

The equation corresponding to the inequality 6y-3x>9 is 6y-3x=9.

The equation 6y-3x=9 represents a line and the inequality 6y-3x>9 represents the region which lies either above or below the line 6y-3x=9.

Transform the equation 6y-3x=9 in its slope intercept form as y=mx+c, where m represents the slope of the line and c represents the y-intercept.  

y-intercept is the point at which the line intersects the y-axis.  

In order to convert the equation 6y-3x=9 in its slope intercept form add 3x to equation 6y-3x=9.  

6y-3x+3x=9+3x

6y=9+3x

Now, divide the above equation by 6.  

\fbox{\begin\\\math{y=\dfrac{x}{2}+\dfrac{1}{2}}\\\end{minispace}}

Compare the above final equation with the general form of the slope intercept form \fbox{\begin\\\math{y=mx+c}\\\end{minispace}}.  

It is observed that the value of m is \dfrac{1}{2} and the value of c is \dfrac{3}{2}.

This implies that the y-intercept of the line is \dfrac{3}{2} so, it can be said that the line passes through the point \fbox{\begin\\\ \left(0,\dfrac{3}{2}\right)\\\end{minispace}}.

To draw a line we require at least two points through which the line passes so, in order to obtain the other point substitute 0 for y in 6y=9+3x.  

0=9+3x

3x=-9

\fbox{\begin\\\math{x=-3}\\\end{minispace}}  

This implies that the line passes through the point \fbox{\begin\\\ (-3,0)\\\end{minispace}}.  

Now plot the points (-3,0) and \left(0,\dfrac{3}{2}\right) in the Cartesian plane and join the points to obtain the graph of the line 6y-3x=9.  

Figure 1 shows the graph of the equation 6y-3x=9.

Now to obtain the region of the inequality 6y-3x>9 consider any point which lies below the line 6y-3x=9.  

Consider (0,0) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=0 and y=0 in 6y-3x>9.  

(6\times0)-(3\times0)>9  

0>9

The above result obtain is not true as 0 is not greater than 9 so, the point (0,0) does not satisfies the inequality 6y-3x>9.  

Now consider (-2,2) to check if it satisfies the inequality 6y-3x>9.  

Substitute x=-2 and y=2 in the inequality 6y-3x>9.  

(6\times2)-(3\times(-2))>9  

12+6>9  

18>9  

The result obtain is true as 18 is greater than 9 so, the point (-2,2) satisfies the inequality 6y-3x>9.  

The point (-2,2) lies above the line so, the region for the inequality 6y-3x>9 is the region above the line 6y-3x=9.  

The region the for the inequality 6y-3x>9 does not include the points on the line 6y-3x=9 because in the given inequality the inequality sign used is >.

Figure 2 shows the region for the inequality \fbox{\begin\\\math{6y-3x>9}\\\end{minispace}}.

Therefore, the statement which correctly describes the shaded region for the inequality is \fbox{\begin\\\ Above the dashed line\\\end{minispace}}

Learn more:  

  1. A problem to determine the range of a function brainly.com/question/3852778
  2. A problem to determine the vertex of a curve brainly.com/question/1286775
  3. A problem to convert degree into radians brainly.com/question/3161884

Answer details:

Grade: High school

Subject: Mathematics  

Chapter: Linear inequality

Keywords: Linear, equality, inequality, linear inequality, region, shaded region, common region, above the dashed line, graph, graph of inequality, slope, intercepts, y-intercept, 6y-3x=9, 6y-3x>9, slope intercept form.

4 0
3 years ago
Read 2 more answers
A line passing through the point (12, -5) has a slope of 1/3
Serggg [28]
Y=(1)/(3)x-9 that’s the answer
6 0
3 years ago
????????????????????????????????????????????????????????????????????????????????????????????
ohaa [14]

Answer: A is first

Step-by-step explanation:

3 0
3 years ago
A box of cereal states that there are 99 calories in a 3/4 cup serving. What is the unit rate for calories per cup? How many cal
Otrada [13]

The unit rate for one serving would be 132 calories, and the total calories in 3 cups would be 396 calories.

Step-by-step explanation:

You solve you the unit rate by multiplying 99 calories by 4 then dividing the amount by 3 and get 132 calories. Finally, you multiple by 3 and get 396 caloriesm

6 0
3 years ago
Read 2 more answers
Alfonso bought 1/2 pound of raisins, 2/5 pound of walnuts, and 1/3 pound of almonds. Write a comparison statement comparing the
elixir [45]
2/5 lbs walnuts > 1/3 lbs almonds
Hope this helped ;)
5 0
3 years ago
Read 2 more answers
Other questions:
  • explain how to use place value and the distributive property to find the product of 828 and 9 help asap please
    5·2 answers
  • Order -6.6,5.8,-6 3/4,27/5,-5 5/8 from least to greatest
    14·2 answers
  • Please help me with this (and my other questions) thanks
    14·1 answer
  • one month, isaiah worked 13 hours less than 3 times ryan, and Mauricio worked 7 hours more than ryan. together they worked 74 ho
    14·1 answer
  • (20,-3),(19,-20) what is the slope of this
    7·2 answers
  • What is the surface temperature of Alpha Centauri A in Kelvin?
    11·1 answer
  • Is it or not pls I need help
    10·1 answer
  • The sum of 4 and y divided by 5 equal to 9. Find the value of y.​<br>pls a better solution
    14·1 answer
  • calculate number of boxes that can fit on tha floor of the trailer using opton B. The dimension of trailer ate length =3m and br
    10·1 answer
  • Triangle PQR has coon instes (2.4), 0(-2,4), R(0,-6). Write the coordinates of the vertices of the image of a triangle afte aans
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!