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Oksana_A [137]
2 years ago
7

A vacuum cleaner costs £85

Mathematics
1 answer:
Vitek1552 [10]2 years ago
7 0

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

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The mean weight 20 students in a room is 65 kg one student one student who weight is 88kg went into the room what is the new mea
umka2103 [35]

The new mean is 66.09

<u>Explanation:</u>

Mean weight of 20 students = 65kg

One student with 88kg entered the room.

New mean = ?

\frac{x_1+x_2+....+x_2_0}{20} = 65

\frac{x_1+x_2+....+x_2_0 + 88}{21} = ?

The above equation can further be written as:

x_1 + x_2 +....+x_2_0 = 65 X 20\\\\x_1 + x_2 +....+x_2_0 = 1300

New mean = \frac{1300 + 88}{21}

                 = 66.09

Therefore, the new mean is 66.09

6 0
2 years ago
Save Work out the size of angle AED.<br> b) Work out x
Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

   Therefore, in cyclic quadrilateral ABDE,

   m∠ABD + m∠AED = 180°

   110° + m∠AED = 180°

   m∠AED = 180° - 110°

                 = 70°

b). AD = ED [Given]

   m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

   m∠EAD = m∠AED = 70°

   By triangle sum theorem in ΔABD,

   m∠BAD + m∠ABD + m∠ADB = 180°

   m∠BAD + 110° + 40° = 180°

   m∠BAD = 180 - 150

                 = 30°

    m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

    m∠AEB = 70° + 30°          

                  = 100°

    By triangle sum theorem in the large triangle,

    x° + m∠AEB + m∠EAB = 180°

    x° + 100° + 70° = 180°

    x = 180 - 170

    x = 10°

8 0
2 years ago
A water pitcher holds 3.5 quarts of water. How many liters of water does it hold?
DiKsa [7]
3.5 quarts = 3.31 liters
6 0
3 years ago
Read 2 more answers
What multiplies to -32 and adds up to -14
just olya [345]
-16, +2 are two nhmbers that multiply to -32 and add to -14
8 0
3 years ago
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
Anon25 [30]

An equation is formed of two equal expressions. The correct options are C, D, and E.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of x in the given equation is,

\dfrac35 (30x-15) = 72\\\\(6x - 3) = 72\\\\6x -3 = \dfrac{72}3\\\\6x = 24 + 3\\\\x = 4.5

Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written  as,

A.) 18x - 15 = 72

18(4.5) - 15 = 66

Thus, this will not return the same value.

B.) 50x - 25 = 72

50(4.5) - 25 = 200

Thus, this will not return the same value.

C.) 18x - 9 = 72

18(4.5) - 9 = 72

Thus, this will return the same value.

D.) 3(6x - 3) = 72

3[6(4.5) - 3] = 72

Thus, this will return the same value.

E.) x = 4.5

Thus, this will return the same value.

Hence, the correct options are C, D, and E.

Learn more about Equation:

brainly.com/question/226398

#SPJ1

7 0
2 years ago
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