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irakobra [83]
3 years ago
8

Discount tickets to a basketball tournament sell for $4.00 each. Sam spent $60.00 on discount tickets, $37.50 less than if he ha

d bought the tickets at the regular price. What was the regular price?
Mathematics
1 answer:
nignag [31]3 years ago
5 0

Answer: the regular price is $6.5 each.

Step-by-step explanation:

Let x represent the regular price of a ticket to a basketball tournament.

Discount tickets to a basketball tournament sell for $4.00 each. Sam spent $60.00 on discount tickets. This means that the number of tickets that Sam bought is

60/4 = 15 tickets

The cost of 15 tickets at the regular price is 15x

Since the amount he paid is $37.5 lesser than what he would have paid if he bought the tickets at the regular price, then

15x = 60 + 37.5 = 97.5

x = 97.5/15

x = 6.5

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Write the equation of the line fully simplified slope-intercept form.
zmey [24]

Answer:5y=x-35

Step-by-step explanation:

The given line passes through the points (0,-7),(10,-5).

Let the slope of the line be m.

If a line passes through (x_{1},y_{1}) and (x_{2},y_{2}),then

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

So,m=\frac{-7-(-5)}{0-10}=\frac{1}{5}

Y-intercept of a line is defined as the y-coordinate of the point where the line touches y axis.

Let the y intercept be b

From the graph,b=-7

The equation of the line with slope m and y-intercept b is y=mx+b

So,y=\frac{1}{5}x-7

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Which of the following are identities?
podryga [215]

Answer:

A. III only

Step-by-step explanation:

In mathematics, an identity is one of the characteristics of algebraic expressions.

Given variable a and b in an algebraic expression, an identity is defined as an equality that remains the same no matter the values that we choose for either variable a or b.

Identity in mathematics makes it very easy to solve algebraic expressions. The two sides of an identity in an algebra can easily be exchanged for each other.

In the above question, we are given 3 Options.

I) 3(5 + 2x) = 15 + 6x

II) y = x + 3

III) (x² - y²) = (x + y) (x - y)

Option I) 3(5 + 2x) = 15 + 6x

Is showing distributive property in mathematics.

Distributive property is :

a(b + c) = ab + ac

Option I is not an identity , therefore it is wrong.

Option II) y = x + 3 is just an algebraic expression.

Only Option III is an identity. This is because it follows the rule of

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We can prove and confirm this be solving the algebraic expression

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We expand the bracket

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Therefore, option A is the correct option.

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3 years ago
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Your answer would be A)

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