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3 years ago

3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold

Mathematics

1 answer:

Elza [17]3 years ago

6 0

Answer:

173 children tickets were sold and 201 adult tickets were sold

Step-by-step explanation:

Let the number of child ticket sold be x

Let the number of adult ticket sold be y

If the total number of ticket sold is 374, hence;

x +y = 374 .... 1

Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;

3x + 5y = 1524..... 2

Solve both equations simultaneously

From 1; x = 374 - y ...3

Substitute equation 3 into 2

3(374-y)+5y = 1524

1122-3y+5y = 1524

1122+2y = 1524

2y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Since x = 374-7

x = 374 - 201

x = 173

Hence 173 children tickets were sold and 201 adult tickets were sold

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Write in decimal form:4 x 100 +2 x 10+4 X 1 +7 (1/10) +7 x (1/100) +0 x (1/1000)

Helga [31]

This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.

4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400

2*10 → This multiplication indicates that the second digit of the number is in the place of the "tens", the result of the multiplication is 20

4*1 → This multiplication indicartes that the third digit of the number represents the "units", te result of the multiplication is 4

After the units you have to put the decimal point and all digits below it will be decimal values.

7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7

7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07

0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000

To write the number in decimal form you have to put each digit in their given order, or add the result of each multiplicatin toghether:

400+20+4+0.7+0.07+0.000

424.770

7 0

1 year ago

In the diagram, what is the value of x? A. 144° B. 28° C. 5° D. 36°

In-s [12.5K]

X+4x = 180
5x = 180
x =180/5
x = 36

answer
D. 36

4 0

3 years ago

Find the solution of m(-11 + m) = 0

zhuklara [117]

i tried ;w;

Step-by-step explanation:

m(−11+m)=0

Step 1: Simplify both sides of the equation.

m2−11m=0

Step 2: Factor left side of equation.

m(m−11)=0

Step 3: Set factors equal to 0.

m=0 or m−11=0

m=0 or m=11

Answer:

m=0 or m=11

6 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

5 0

3 years ago

One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the s

Sholpan [36]

Let the smaller angle be x.

smaller = x
larger = 3x
known angle = 65°

All angles add up t10 180:
x + 3x + 65 = 180
4x + 65 = 180
4x = 115
x = 28.75

Smaller angle = 28.75
Larger angle = 86.25

Answer: The angles are 28.75° and 86.25°

4 0

3 years ago