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Elenna [48]
3 years ago
5

A little help please

Mathematics
1 answer:
DaniilM [7]3 years ago
4 0

Answer:

x = 30

Step-by-step explanation:

by solving ;

  • 18 / x = 6 / 10
  • 1 / x = 6 / ( 18 × 10 )
  • 1 / x = 6 / 180
  • 1 / x = 1 / 30
  • x = 30

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A movie theater charges $4.50 for children and $8.00 for adults. On a certain day, 1200 people enter the theater and $8375 is co
Lady bird [3.3K]

Answer:

The number of adults who attended=850

The number of children who attended=350

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=1200

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=1200...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$8,375

cost per child=$4.5

number of children=c

cost per adult=$8

number of adults=a

replacing;

(8×a)+(4.5×c)=1,200

8 a+4.5 c=8,375...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(8 a+4.5 c=8,375)

4.5(a+c=1,200)=4.5 a+4.5 c=5,400

(8 a-4.5 a)+(4.5 c-4.5 c)=(8,375-5,400)=2,975

3.5 a=2,975

a=2,975/3.5

a=850

replacing the value for a in equation 1

850+c=1200

c=1200-850=350

The number of adults who attended=850

The number of children who attended=350

4 0
3 years ago
What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?
skad [1K]

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

3 0
3 years ago
Which answer shows y + 2x< 4x - 3, rewritten to isolate y, and its graph?
leonid [27]

Answer:

y<2x−3 would be the answer

7 0
3 years ago
Select the correct answer.
Maru [420]

The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.

<h3>How to interpret the graph?</h3>

Mathematically, the standard form of the equation of a straight line on a graph is given by;

y = mx + c

<u>Where:</u>

  • x and y are the points.
  • m is the slope.
  • c is the intercept.

<h3>The condition for perpendicularity.</h3>

In Mathematics, the condition for perpendicularity of two (2) lines is as follows:

m₁ × m₂ = -1

8/5 × (-5/8) = -1

Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).

Read more on perpendicularity here: brainly.com/question/1202004

#SPJ1

Complete Question:

Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?

A. The graphs intersect at (0,8).

B. The graph of the original function is perpendicular to the graph of the new function.

C. The graph of the original function is parallel to the graph of the new function.

D. The graphs intersect at (0,4).

3 0
2 years ago
The sales tax in one town is 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item th
frutty [35]

Answer:

12.96

Step-by-step explanation:


6 0
3 years ago
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