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2 years ago

A dress normally costs £35.

Mathematics

1 answer:

dem82 [27]2 years ago

8 0

Answer:

£29.75.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Sale price = 35 - 0.15*35

= £29.75.

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A 20,000 gallon tank is 3/4full. If the drain valve on this tank allows 2.5 gallons of water to be drained per minute, about how

patriot [66]

Answer:

100 Hours

Step-by-step explanation:

since the tank has 15,000 gallons of water. it drains at a rate of 150 gallons per hour so 15,000 divided by 150 equals 100

6 0

3 years ago

Identify the volume of the composite figure. HELP PLEASE!!

Ilya [14]

Answer:

Vol. of the composite figure is 189 m³

Step-by-step explanation:

Find the volume of the larger figure by mult. together its 3 dimensions:

V = (9 m)(8 m)(3 m) = 216 m³.

Next, find the volume of the "notch," which is (3 m)³, or 27 m³.

Finally, subtract the "notch" volume from the 216 m³ volume found earlier:

216 m³ - 27 m³ = 189 m³

4 0

3 years ago

If f(x) and f^-4(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(x)?

miss Akunina [59]

For this case we must find the inverse of the following function:

$f (x) = 2x + 5$

Then, we follow the steps:

We change $f (x)$ by y:

$y = 2x + 5$

We exchange the variables:

$x = 2y + 5$

We clear the variable "y":

$x-5 = 2y\\y = \frac {x-5} {2}$

We change y for $f^{-1}(x):$

$f^{-1}(x) = \frac {x-5} {2}$

Answer:

$f^{-1}(x) = \frac {x-5} {2}$

4 0

3 years ago

Some kids are selling lemonade for $1.50 per cup at a high

BaLLatris [955]

A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14

Solution:

Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.

They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)

We have to create a function that would represent profit based on the number of cups of lemonade

Now, let the number of cups sold be "n"

Then , we know that, profit = selling price – cost price

Profit = number of cups sold x price per cup – cost price

Profit = n x $ 1.5 – $ 14

Profit = 1.5n – 14

Hence, the function is Profit = 1.5n - 14

6 0

2 years ago

There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

7 0

3 years ago