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2 years ago

Nelly works part-time in a shop to

Mathematics

1 answer:

zaharov [31]2 years ago

3 0

Using proportions, Nelly's total pay for last week was of £220.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

For 15 hours, she was paid £8 per hour.

For the last 2 hours, she was paid £10 per hour.

On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

More can be learned about proportions at brainly.com/question/24372153

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Step 1: Place the graph paper in landscape orientation. Measure from the top left hand corner 6 inches right and 5 inches down.

cluponka [151]

<h3>How to determine the hypotenuse?</h3>

<u>Step 1 and 2: Draw an isosceles right triangle</u>

See attachment (figure 1) for this triangle

The legs of this triangle have a length of 1 inch

<u>Step 3: The hypotenuse</u>

This is calculated using the following Pythagoras theorem

$h^2 = 1^2 + 1^2$

This gives

$h = \sqrt 2$

<u>Step 4: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 2) for this triangle

The legs of this triangle have lengths of 1 inch and 2 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

$h^2 = 2^2 + 1^2$

This gives

$h = \sqrt 5$

<u>Step 5: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 3) for this triangle

The legs of this triangle have lengths of 1 inch and 3 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

$h^2 = 3^2 + 1^2$

This gives

$h = \sqrt {10$

<u>Step 6: Draw another isosceles right triangle</u>

Add 1 inch to one of the legs

See attachment (figure 4) for this triangle

The legs of this triangle have lengths of 1 inch and 4 inches, respectively

This hypotenuse is calculated using the following Pythagoras theorem

$h^2 = 4^2 + 1^2$

This gives

$h = \sqrt{[17$

See that the hypotenuse is the square root of 17

Hence, the right triangle whose legs are 1 inch and 4 inches has an hypotenuse of √17

Read more about right triangles at:

brainly.com/question/2437195

#SPJ1

8 0

2 years ago

How many rulers of 12-inches are needed to measure a door awnser

Fudgin [204]

<span>the dimensions of a door are variable, for effects of this problem we will assume a door height of 210 cm and a door width of 80 cm

Step 1
</span><span>convert the dimensions of the door in cm to inches
</span>we know that
1 in-------------> 2.54 cm
X----------------> 210 cm
X=210/2.54=82.67 in (height)

1 in-------------> 2.54 cm
X----------------> 80 cm
X=80/2.54=31.50 in (width)

the dimensions of a door are 31.50 in x 82.67 in

Step 2
calculate the amount of rules of 12-inches necessary to measure the height of the door
82.67 in (height)
if one rule-------------> measure 12 in
X----------------------> 82.67 in
X=82.67/12=6.8-----------> 7 rules

Step 3
calculate the amount of rules of 12-inches necessary to measure the width of the door
31.50 in (width)
if one rule-------------> measure 12 in
X----------------------> 31.50 in
X=31.50/12=6.8-----------> 2.62 ------------> 3 rules

the answer is
to measure a door are needed about 7 rules of 12-inches for the height and about 3 rules of 12-inches for the width

7 0

3 years ago

The distance between two piers is S miles. Two boats start moving simultaneously from different piers at speeds R and B respecti

morpeh [17]

Answer:

a. S + (B - R)T b. (R - B)T - S

Step-by-step explanation:

a. Let the position of the first boat be taken as the zero point or origin. Since the first boat moves with a speed of R in time, T, it covers a distance D' = RT to get to the position D'.

The second boat which is ahead at position S, the distance between the piers, moves with a speed of B in time, T, its position after it it covers a distance BT is D" = S + BT.

Since the first boat moves slower than the second boat and the both move in the direction of the first boat, their distance apart D = D" - D' = S + BT - RT = S + (B - R)T

b. Let the position of the first boat be taken as the zero point or origin. Since the first boat moves with a speed of R in time, T, it covers a distance D' = RT to get to the position D'.

The second boat which is ahead at position S, the distance between the piers, moves with a speed of B in time, T, its position after it it covers a distance BT is D" = S + BT.

Since the first boat moves faster than the second boat and the both move in the direction of the first boat, their distance apart D = D' - D" = RT - S + BT = (R - B)T - S.

8 0

2 years ago

Which<br> expression is equivalent to<br> -5/3 x

stira [4]

Answer:

The picture below will be at help, hopefully! ^^'

Step-by-step explanation: