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

Counted a total of 40 white cars and yellow cars there were 9 times as many as white cars as yellow cars. how many white cars di

Law Incorporation [45]

Let W = number of white cars, and Y = number of yellow cars.
There were 9 times as many white cars as yellow cars. This means that the number of white cars was 9 times more than the number of yellow cars. This can be translated by the expression:
9Y = W
The person counted 40 cars in total:
W + Y = 40

So we get the system:
$\left \{ {{W+Y=40} \atop {9Y=W}} \right.$

In the first equation, we multiply by 9:
9W + 9Y = 360
In the second equation:
9Y= W
W-9Y = 0

Then we add the first with the second equation:
9W + 9Y + W - 9Y = 360
10 W = 360
W = 36

So He counted 36 white cars.

Hope this Helps! :)

8 0

3 years ago

How do i solve this because I need some help. I'm studying for my test.

mote1985 [20]

At Gino's you pay $16 plus $8 per pizza.
At Venetian's you pay $24 plus $6 per pizza.
Let the number of pizzas be x.

At Gino's you pay 16 + 8x
At Venetian's you pay 24 + 6x

Set the two costs equal and solve for x to find out the number of pizzas for which both costs are the same.

16 + 8x = 24 + 6x
16 + 2x = 24
2x = 8
x = 4
Each place gives you a free pizza.
4 pizzas plus the free pizza equals 5 pizzas.

If you need 5 pizzas (including the free one), both parlors cost the same.

If you need fewer than 5 pizzas, use Gino's.
If you need more than 5 pizzas, use Venetian's.

7 0

3 years ago

ASAP HELP!! sorry the photo is bad it’s the lighting but please help

ICE Princess25 [194]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the discriminant and determine the nature of the roots to the quadratic equation

Katen [24]

№17
$x^{2} +6x-7=0 \\ D=6 ^{2} -4*(-7)=36+28=64=8 ^{2} \\ \\ x_{1} = \frac{-6+8}{2} =1 \\ \\ x_{2} = \frac{-6-8}{2} =-7$
Answer: x₁ = 1
   x₂ = - 7

№18
$2 x^{2} -3x+4=3 \\ 2 x^{2} -3x+4-3=0 \\ 2 x^{2} -3x+1=0 \\ \\ D= -3 ^{2} -4*2=9-8=1 \\ \\ x_{1} = \frac{3+1}{2*2} = \frac{4}{4} =1 \\ \\ x_{2} = \frac{3-1}{2*2} = \frac{2}{4} =0.5$
Answer: x₁ = 1
     x₂ = 0,5.

№19
$2 x^{2} -4x-5=0 \\ D=-4 ^{2} -4*2*(-5)=16+40=56 \\ \\ x_{1}= \frac{4+ \sqrt{56} }{2*2} = \frac{4}{4} + \sqrt{ \frac{56}{16} } =1+ \sqrt{3.5} \\ \\ x_{2} = \frac{4- \sqrt{56} }{2*2} = \frac{4}{4} - \sqrt{ \frac{56}{16} } =1- \sqrt{3.5} 
$
Answer: x₁ = 1 + √3.5
     x₂ = 1 - √3.5

3 0

4 years ago

Which comparison is true?

Setler79 [48]

Answer:

0.3 > 0.09

Step-by-step explanation:

The comparison 0.3 > 0.09 is true.

0.3 = 0.300

0.300 > 0.009

All other options are false. They should have a less than sign instead of a greater than sign.

6 0

3 years ago