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Aleksandr-060686 [28]
3 years ago
14

Work out the percentage change when a price of £80 is increased to £100

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

25%

Step-by-step explanation:

100 - 80 = 20 (change)

change / original price X 100

20 / 80 = 0.25

0.25 X 100 = 25

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One grain of sand approximately weighs 7 * 10^{-5} g. How many grains of sand are there in 6300 kg of sand? Give your answer in
sertanlavr [38]

Answer:

Proportion states that the two ratio or fractions are equal.

Given the statement: One grain of sand approximately weighs 7 * 10^{-5} g.

To find how many grains of sand are there in 6300 kg of sand.

Let x be the number of grains of sand in 6300 kg of sand.

Using conversion :

1 kg = 1000 g

6300 kg = 6300000 g

Then, by using proportion method, we have;

\frac{1}{7\times 10^{-5}}= \frac{x}{6300000}

\frac{10^5}{7} = \frac{x}{6300000}

By cross multiply we get;

6300000 \times 10^5 = 7x

or

63 \times 10^5 \times 10^5 = 7x

63 \times 10^{5+5} = 7x  [using x^a \cdot x^b = x^{a+b}]

63 \times 10^{10} = 7x

Divide both sides by 7 we get;

x = \frac{63 \times 10^{10}}{7} = 9 \times 10^{10}

Standard form is a way of of writing down very large or very small numbers easily.

Therefore, 9 \times 10^{10} grains of sand are there in 6300 kg of sand.






6 0
3 years ago
Which rule describes the translation PQR --> P'Q'R'?
Ksenya-84 [330]
The "Pre Image" is the image that we started with, so the pink triangle. 
The "Image" is the image that we ended with, so the blue triangle. 

To determine how far we went from the pre image to the image, we can focus on one point, let's say point "P". 

The pre image coordinates for point "P" are 2, 3. 
The image coordinates for point "P'" are -1, 0. 

To get from x value 2 to x value -3, we subtracted 3. 
To get from y value 3 to y value 0, we subtracted 3. 

So, our rule for this translation would be A, (x, y) ----> (x-3, y-3).
5 0
3 years ago
I need to do all of them.
OLEGan [10]

uh, solve for x? Its simple, but first, since it is a prep for a test, you should study how to solve for x, which is easy. So To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

Let’s start with a simple equation as, x + 2 = 7

How do you get x by itself?

Subtract 2 from both sides

⇒ x + 2 - 2 = 7 - 2

⇒ x = 5

Now, check the answer, x = 5 by substituting it back into the equation. We get 5 + 2= 7.

L.H.S = R.H.S

And then for a triangle:

Solve for x" the unknown side or angle in atriangle we can use properties of triangle or thePythagorean theorem.

Let us understand solve for x in a triangle with the help of an example.

△ ABC is right-angled at B with two of its legs measuring 7 units and 24 units. Find the hypotenuse x.

then in △ABC by using the Pythagorean theorem,

we get AC2 = AB2 + BC2

⇒ x2 = 72 + 242

⇒ x2 = 49 + 576

⇒ x2 = 625

⇒ x = √625

⇒ x = 25 units

get it? Good

5 0
3 years ago
If sec 48 = 1.4945, find csc 42
Grace [21]
Because cos(x) = 1/sec(x), therefore
cos(48) = 1/1.4945 = 0.6691

The angle 48° is in quadrant 1, therefore cos, sin, tan, sec, csc and cot functions are all positive.

Note that sin(90° - x) = cos(x).
Therefore
sin(90 - 48) = cos(48)
sin(42°) = cos(48°) = 0.6691

Because csc(x) = 1/sin(x), therefore
csc(42°) = 1/sin(42°) = 1/0.6691 = 1.4945

Answer:  1.4945
3 0
3 years ago
Which fraction correctly represents 0.54
boyakko [2]

Answer:

27/50 is the fraction.

Step-by-step explanation:

6 0
3 years ago
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