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3 years ago

If 6 cakes cost £2.40 how much do 10 cakes cost

1 answer:

3 0

6 cakes ... £2.40
10 cakes ... £x = ?

If you would like to know how much do 10 cakes cost, you can calculate this using the following steps:

6 * x = 10 * 2.40
6 * x = 24 /6
x = 24/6
x = £4

Result: 10 cakes cost £4.

You might be interested in

A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members c

Gwar [14]

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s /5

s = 50 / 5

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

6 0

3 years ago

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late

Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

$\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)$

$\text{Price of the hat after an increase of 60\%}=20+(0.60*20)$

$\text{Price of the hat after an increase of 60\%}=20+12$

$\text{Price of the hat after an increase of 60\%}=32$

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

$\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)$

$\text{Price of the hat after sale of 10\%}=32-(0.10*32)$

$\text{Price of the hat after sale of 10\%}=32-3.2$

$\text{Price of the hat after sale of 10\%}=28.8$

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

$\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)$

$\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)$

$\text{Price of the hat after clearance sale}=28.8-11.52$

$\text{Price of the hat after clearance sale}=17.28$

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0

3 years ago

Need help Asap thank you in advance

julia-pushkina [17]

Answer:

$12x^4-20x^2+32x=4x(3x^3-5x+8)$

Step-by-step explanation:

Common Factors

An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.

The following expression

$Z=12x^4-20x^2+32x$

Can be factored in the constants and in the variable x.

1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).

2. To find the common factors of the constants, we take all the coefficients:

12 - 20 - 32

and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8

3. The factored expression is

$Z=12x^4-20x^2+32x=4x(3x^3-5x+8)$

$\boxed{12x^4-20x^2+32x=4x(3x^3-5x+8)}$

3 0

3 years ago

Karen received a $50.75 gift card for a photo center. She used it to buy prints that cost 10 cents each. The remaining balance,

adoni [48]

Answer: 47.75

Step-by-step explanation: It explains at the end that she bought 30 prints. You would take 30 and just plug it in for X. So the formula would look like this, B(x)=50.75-0.10(30).

3 0

3 years ago

Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third

Salsk061 [2.6K]

The number of ways she can choose a password is 3986236800

<h3>In how many ways can she choose a password?</h3>

The given parameters and the possible selection of characters are:

First and last choices are possibly repeated lowercase letters;

There are 26 lower characters.

Since the characters can be repeated, then we have

First = 26

Last = 26

The second and third positions must be distinct uppercase letters

There are 26 upper characters.

Since the characters are distinct, then we have

Second = 26

Third = 25

The fourth position must be a # , $, or & symbol;

So, we have

Fourth = 3

The next four positions are distinct nonzero digits.

There are 9 nonzero digits.

Since the digits are distinct, then we have

Next = 9, 8, 7, 6

The number of ways she can choose a password is

Ways = First * Second * Third * Fourth * Next * Last

So, we have

Ways = 26 * 26 * 25 * 3 * 9 * 8 * 7 * 6 * 26

Evaluate the product

Ways = 3986236800

Hence, the number of ways she can choose a password is 3986236800