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Basile [38]
3 years ago
12

Part A

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

110 + 10x ; 40x

4

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

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3[5x - 4] - [-30 - 45x]
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3(5x - 4) - (-30-45x)
= 15x - 12 + 30 + 45x <- Distributive Property
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If you're trying to solve for 0:

0 = 60 x + 18
-18 = 60x <- Subtracted 18 from both sides
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3 years ago
Read 2 more answers
Solve. 2(2z – 4) = 4​
Oxana [17]

Answer:

z = 3

Step-by-step explanation:

1) Divide both sides by 2.

2z - 4 =  \frac{4}{2}

2) Simplify 4/2 to 2.

2z - 4 = 2

3) Add 4 to both sides.

2z = 2 + 4

4) Simplify 2 + 4 to 6.

2z = 6

5) Divide both sides by 2.

z =  \frac{6}{2}

6) Simplify 6/2 to 3.

z = 3

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4 0
2 years ago
A parallelogram has one angle that measures 135 degrees. What are the measures of other three angles in the parallelogram?
geniusboy [140]

Answer:

The measure of other three angles are 135° , 45° and 45°

Step-by-step explanation:

The opposite angles of a parallelogram are equal.

So if we consider a parallelogram ABCD ,

Angle A = Angle C

Angle B = Angle D

If we take angle A = 135° then angle C = 135°

SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.

A+B+C+D=360°

135°+B+135°+D=360°

270°+B+D=360°

But B=D

So,2B=90°

B=45°

D=45°

So A = C = 135°

A = C = 135° B = D = 45°

A = C = 135° B = D = 45°

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6 0
3 years ago
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Let p=x^2-2 which equation is equivalent to (x^2-2)^2+18=9x^2-18 in terms of p
Bad White [126]

Answer:

The equivalent equation is p^2 + 18 = 9p

Step-by-step explanation:

p is given by the following relation:

p = x^2 - 2

And we are given the following equation:

(x^2 - 2)^2 + 18 = 9x^2 - 18

On the right side, we can simplify. So

(x^2 - 2)^2 + 18 = 9(x^2 - 2)

Replacing x^2 - 2 by p, the equation is:

p^2 + 18 = 9p

6 0
3 years ago
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