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3 years ago

Tickets to a play are priced as follows: adult-£12 and child:£6

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Cheryl has to pay a total charge of £100.98.

Step-by-step explanation:

Step 1; A ticket for an adult costs £12 and a ticket for a child costs £6. So for 6 adults and 3 children, the ticket price is

Ticket price= 6 × £12 + 3 × £6 = £72 + £18 = £90.

So the ticket prices alone are £90. A booking fee of 10% is added to this £90.

Booking fee = 10% of £90 = £9.

Ticket price inclusive of booking fee = £90 + £9 = £99.

Step 2; Cheryl pays by credit card so an additional 2% is added to the final price i.e. 2% is added to the £99.

Credit card charges = 2% × £99 = £1.98

Final booking fee = £99 + £1.98 = £100.98.

So buying the tickets with credit card, Cheryl pays £100.98 to buy the tickets.

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Alexus [3.1K]

The base of triangle is 24 inches whose area is 2.75 sq. feet

<u>Solution:</u>

Given, area of a triangle is 2.75 square feet and its height is 33 inches.

We have to find its base length in inches.

So let us convert area units from feet to inches.

Area = 2.75 square feet = 2.75 $\times$ ft $\times$ ft

= 2.75 $\times$ 12 inches $\times$ 12 inches

[since 1 foot = 12 inches ]

= 2.75 x 144 $\times$ $in^2$

Area = = 396 $in^2$

Area of triangle is given as:

$\text {area}=\frac{1}{2} \times \text { base } \times \text { height }$

$\begin{array}{l}{396= \frac{1}{2} \times \text { base } \times 33} \\\\ {2 \times 396=\text { base } \times 33} \\\\ {792=\text { base } \times 33} \\\\ {\text { Base }=\frac{792}{33}=24}\end{array}$

Hence, the base of the triangle is 24 inches

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3 years ago

IXL- 8th grade math W.14

kirza4 [7]

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

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3 years ago

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A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical

Korolek [52]

Answer:

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Total outcomes:

100 customers

Desired outcomes:

A clothing vendor estimates that 78 out of every 100 of its online customers do not live within 50 miles of one of its physical stores. So the number of desired outcomes is 78 customers.

Using this estimate, what is the probability that a randomly selected online customer does not live within 50 miles of a physical store?

$p = \frac{78}{100} = 0.78$

78% probability that a randomly selected online customer does not live within 50 miles of a physical store.

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Step-by-step explanation:

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