MATHEMATICS HIGH SCHOOL

At the Bronx Zoo, tickets for adults cost $28 and tickets for children cost $13. If 550 tickets are sold on Saturday for a total of $12,700, how many adult tickets were sold and how many children tickets were sold?

Answers

Answer 1
Answer:

Answer:

Let a = number of adult tickets sold

c = number of children's tickets sold

28a + 13c = 12,700---->28a + 13c = 12,700

a + c = 550------->13a + 13c = 7,150

--------------------------

15a = 5,550

a = 370, c = 180

370 adult tickets, 180 children's tickets

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Identify all factors of the expression 12x^2-14x-6

Answers

Let's solve this by using the quadratic formula:

(-b+-√(b^2-4ac) )/(2a)


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^(2) - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

(14+-√(484) )/(24)=(14+-22)/(24)  \n\n

Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

(14+22)/(24)=(36)/(24)=(3)/(2)


Second Factor:

(14-22)/(24)=(-8)/(24)=-(1)/(3)


And so your factors are

(3)/(2),-(1)/(3)

meaning that those are your roots/x-intercepts.

For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 7.38 centimeters? (Use the value of 3.14 to represent pi, and the formula for circumference = 2*pi*r)

Answers

A button with a circumference of 7.38 cm will need a buttonhole with the size of 2.35 cm.

Since the circumference is equivalent to 7.38 cm, the formula can be displayed as follows:
7.38 cm = 2πr
r = 7.38cm/2π
r= 1.1751592 cm
diameter = 2r
               = 2.3503184 cm or approximately 2.35 cm

Determine if the conditional is true or false: If two numbers are odd, then their sum is even. (1 point)true
false

Answers

True.
Think of the two odd numbers as 2x+1 and 2y+1. Anything multiplied by 2 will be even then you have two 1s in the equation that will add to 2. So even number + even number = even number

Solve the following inequality using the algebraic approach:5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4

Answers

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

Given that, 5x-1<2x+11.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Here, inequality 5x-1<2x+11 can be solved as follows

Add 1 on both the sides of inequality, we get

5x<2x+12

Subtract 2x on both the sides of inequality, we get

3x<12

Divide 3 on both the sides of inequality, we get

x<4

The solution for the given inequality is x<4. Therefore, option D is the correct answer.

To learn more about the inequalities visit:

brainly.com/question/20383699.

#SPJ2

Answer:

b. x less-than StartFraction 10 Over 3 End fraction

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is . For one performance, advance tickets and same-day tickets were sold. The total amount paid for the tickets was . What was the price of each kind of ticket

Answers

Answer:

Advance tickets=$25

Same-day tickets=$15

Step-by-step explanation:

Complete question below:

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $ 40. For one performance, 25 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1075 . What was the price of each kind of ticket?

Let

advance tickets=x

Same-day tickets=y

Combined cost of advance and same-day tickets=$40

It means,

x+y=40 Equ (1)

25 advance tickets and 30 same-day tickets=$1075

It means,

25x+30y=1075 Equ(2)

From (1)

x+y=40

x=40-y

Substitute x=40-y into (2)

25x+30y=1075

25(40-y)+30y=1075

1000-25y+30y=1075

5y=1075-1000

5y=75

Divide both sides by 5

5y/5=75/5

y=15

Recall,

x+y=40

x+15=40

x=40-15

=25

x=25

Advance tickets=$25

Same-day tickets=$15

Check

25x+30y=1075

25(25)+30(15)=1075

625+450=1075

1075=1075

If h = 15 units and r = 5 units, what is the volume of the cone

Answers

V = (1/3)pi*r^2*h that's the formula to used to get the volume of the cone
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