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3 years ago

Alex and Peter win some money and share it in the ratio 3:5. Alex gets £33. How much did Peter get?

Mathematics

1 answer:

IgorLugansk [536]3 years ago

5 0

Answer:

Step-by-step explanation:

Set it up as fractions, Alex over Peter.

3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11

What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.

Peter will get 55. Don't forget the pound symbol.

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(x + 2)4 = x4 + 8x3 +... Use the Binomial Theorem to complete the binomial expansion. Enter only the next three terms; use the ^

larisa86 [58]

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3 years ago

What’s the least common denominator for 1/6 and 7/8?

Alexandra [31]

Answer:

Step-by-step explanation:

Here's how we construct the LCD:

Factor the denominators 6 and 8: 6 = 2*3 and 8 = 2*2*2

The LCD involves 2*2*2 as well as 3:

LCD: 2*2*2*3 = 24. Note that 24 is divisible by both 6 and 8. There is no smaller LCD that is divisible by 6 and 8 both.

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3 years ago

Simplify the expression. What is (-8.6)^0

blagie [28]

Answer:

Step-by-step explanation:

Any number to the power of zero is equal to 1. If the negative would be on the outside of the parenthesis, though, the answer would be -1

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3 years ago

1.Solve the equation 2x^2+10x=0 . Check your solution(s) and state the final solution set.

Setler [38]

2x^2 + 10x = 0

we can take out x from both terms and we get:
x(2x + 10) = 0

now either x has to be equal to 0 or 2x + 10 has to be equal to zero in order for equation to be equal to 0.

one solution is x=0 as stated above

other is:
2x + 10 = 0
2x = -10
x = -10/2 = -5

Answers are x=0 and x = -5.

3 0

3 years ago

An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s

marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

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3 years ago