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2 years ago

a miniature railway increased its prices by 25% to £1.50 how much did it cost to visit the railway before

Mathematics

2 answers:

MAVERICK [17]2 years ago

6 0

The answer is 112.5

type 150 divide by 100 times 25
minus that from 150
and it gives you the answer

nadezda [96]2 years ago

4 0

Let x be the previous price.
So, the equation is the following: $x+0.25x=1.5$
Solve the above equation for x like this:
$x(1+0.25)=1.5\\x1.25=1.5\\x=\frac{1.5}{1.25}=1.2$

The price before was £1.2

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Simplify each exponential expression using the properties of exponents and match it to the correct answer.

saveliy_v [14]

1) (2 $\times$ 3^-2)^3 (5 $\times$ 3^2)^2 / (3^-2)(5 $\times$ 2)^2 = 2

2) (3^3) (4^0)^2 (3 $\times$ 2)^-3 (2^2) = 1/2

3) (3^7 $\times$ 4^7) (2 $\times$ 5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

<u>Step-by-step explanation</u>:

Step 1 :

(2 $\times$ 3^-2)^3 (5 $\times$ 3^2)^2 / (3^-2)(5 $\times$ 2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3 $\times$ 2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7 $\times$ 4^7) (2 $\times$ 5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

8 0

2 years ago

Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large

8090 [49]

We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.

√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30

Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches

Answer = 120 inches

6 0

2 years ago

You get a part-time job earning $8.60/hr. Tips are $3.25/hr on average. Deductions are FICA (7.65%), federal tax withholding (11

adelina 88 [10]

Answer:

Gross Base pay is equals to $129

Step-by-step explanation:

Gross base pay can be defined as the pay per hour which has been discussed and finalized by the employer and employee at the time of job offering. It is the minimum amount of pay the employee is to receive. The tips, bonuses, allowances are not considered in the Gross base pay. Moreover, it is the basic pay an employee gets before any kind of tax deductions..

Gross base pay can easily be calculated by multiplying the pay per hour with the number of hours worked.

Pay per hour = $8.60

Numbers of hours worked = 15

Gross Base Pay = 8.60×15 = $129

3 0

2 years ago

Explain how the segment addition postulate can be modeled using a real-world object

IgorC [24]

To determine the length of AB, one must subtract BC from AC. If the length of AC is 18 and the length of BC is 4, then using this formula yields 18 - 4 = 14, so the length of AB is 14.

This postulate also allows a line segment that has only two known points to be broken into two line segments with the addition of a third point in between the endpoints. This is useful for proofs in geometry and analysis.

6 0

2 years ago

Read 2 more answers

When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.

inn [45]

Well every time it gets rid of a shell it grows 1 1/3 times larger. So so to see how much it grows after the first time you say
1 cm * 1 1/3 = 1 1/3 cm

to get the next one you do the same
1 1/3 cm * 1 1/3 cm = 16/9

It will keep going multiplying by 1 1/3. So so we can say in an equation that the
(initial size) * 1 1/3 *(number of shells) = length

Or 1cm * 1 1/3 * n = L

We we know the final length is 10cm

So 1 1/3 * n = 10cm

n = 7.5shells

so approximately 7 or 8 shells

8 0

2 years ago