All categories

3 years ago

Part A

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

110 + 10x ; 40x

Step-by-step explanation:

Given that:

For every visit to Arts museum:

Scenario 1:

Parking fee = $15

Admission fee = $25

Total amount for scenario 1:

If number of visits = x

Total cost = $(15 + 25) × number of visits

Total cost : $40x

With membership :

Price of membership = $110 (one time payment)

Parking fee = $10

Admission fee = $0

Let number of visits = x

Total cost :

Membership fee + (parking fee × number of visits)

$110 + ($10 * x)

= 110 + 10x

B) number of visits for which member cost is less than non-member cost :

Member cost = 110 + 10x

Non member cost = 40x

110 + 10x < 40x

10x - 40x < 110

-30x < 110

x > 3.67

Hence x = 4

Number of visits for which member cost is greater than non member cost is 4

You might be interested in

How much fencing do i need for a garden that is 4 2/3 yards x 6 3/4 yards?

boyakko [2]

To find this, you have to turn them into inproper fractions. You do this by doing denominator x whole number x numerator. The equation is now 14/3 x 27/4. You have to do numerator x numerator and denominator x denominator which will lead us to an answer of 378/12 or 31 6/12 or 31 1/2

3 0

3 years ago

If a b c=0, but abc don't equal 0, then a^2/bc b^2/ca c^2/ab=

goblinko [34]

$\sf a + b + c = 0\\abc \neq 0\\\\ \frac{a^2}{bc} + \frac{b^2}{ac} + \frac{c^2}{ab} = \frac{a^3+b^3+c^3}{abc} \\\\\sf Formula: \\a^3 + b^3 + c^3 = (a + b + c) (a^2 + b^2 + c^2- ab - bc - ca) + 3abc\\\\\frac{a^3+b^3+c^3}{abc}= \frac{(a + b + c) (a^2 + b^2 + c^2- ab - bc - ca) + 3abc}{abc}\\\\\sf However, ~a+b+c = 0. ~So:\\\\\frac{0 (a^2 + b^2 + c^2- ab - bc - ca) + 3abc}{abc}\\\\\sf Multiply~ anything ~by~ 0, ~and~ you ~get~ 0. ~So~ simplifying:\\\\\frac{3abc}{abc} = \boxed{3}$

Your final answer is 3.

3 0

3 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (−5,−4) and

Reil [10]

Slope of a line parallel is equal to change in y over change in x: which is 9/8, or 1.125. A line perpendicular is the negative reciprocal, which is -8/9.

6 0

3 years ago

What is the inverse of f(x)=(x+6)2 for x≥–6 where function g is the inverse of function f? g(x)=x√−6, x≥0 g(x)=x−6−−−−√, x≥6 g(x

avanturin [10]

Answer:

$g(x)=\sqrt{x}-6$ , x>=0

Step-by-step explanation:

$f(x)=(x+6)^2$

To find the inverse function , replace f(x) by y

$y=(x+6)^2$

Replace x with y and y with x

$x=(y+6)^2$

Solve the equation for y

take square root on both sides

$+\sqrt{x} =y+6$

Now subtract 6 from both sides

$+\sqrt{x}-6=y$

replace y with g(x)

$g(x)=\sqrt{x}-6$

8 0

4 years ago

PLEASE HELPPP !!!

baherus [9]

Answer:

1) 6%

2) $1,689.35

Step-by-step explanation:

1) Given the following

Sales tax = $64.80

Price of the computer = $1080

Required

rate of sales tax

Using the expression

x% of 1080 = 64.80

x/100 * 1080 = 64.80

10.80x = 64.80

x = 64.80/10.80

x = 6%

Hence the rate of sales tax is 6%

2) Given the following

Price of the car = $25,990

Tax rate = 6.5%

Sales tax charged = 6.5% of $25,990

Sales tax charged = 6.5/100 * 25,990

Sales tax charged = 6.5 * 259.9

Sales tax charged = $1,689.35

hence the sales tax being charged is $1,689.35

7 0

3 years ago