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bazaltina [42]
3 years ago
15

1. Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the sa

me number of bread rolls as sausages. What is the smallest number of each pack she must buy?
Answer:

2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act
Answer:


If you answer I promise I will make you the brainiest, like and I will vote 5
Mathematics
1 answer:
nataly862011 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

First find the LCM of 30, 16. This will give the common number of sausages and bread rolls

30 = 2 *  3 * 5

16 = 2 * 2 * 2 * 2

LCM = 2* 2 * 2 * 2 * 3 * 5 = 240

240 sausages and 240 bread rolls

Number of Sausage pack = 240 ÷ number of sausages in a pack

                                           = 240 ÷ 16

                                           = 15

Number of bread roll pack = 240 ÷ number of bread rolls in a pack

                                           = 240 ÷ 30

                                           = 8

Jenny should buy 8 pack of bread rolls and 15 pack of sausage

2)  LCM of  2 , 5 , 8 = 40

Tom, Sam, Matt  will hit their drum same at 40 minutes

Number of beats hit by Tom before reaching 40 minutes = 40/2 =20 hits

Number of beats hit by Sam before reaching 40 minutes = 40/5 = 8 hits

Number of beats hit by Matt before reaching 40 minutes = 40/8 = 5 hits

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3 years ago
9-8x^2+2x^4 is this a trinomial​
Svetradugi [14.3K]

Yes. A monomial is a term composed by a coefficient and powers of variables multiplied with each other, for example

3xy^3z^2

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In your case, the monomials are

9,\quad 8x^2,\quad 2x^4

As the name suggests, a trinomial is the sum of three monomials, which is exactly your case.

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Read 2 more answers
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
Which equation represents a line that is perpendicular to the line whose equation is -2y=3x+7
notsponge [240]

Answer:

Any line with the slope of 2/3 would be perpendicular.

Step-by-step explanation:

To find this, first solve the equation for y.

-2y = 3x + 7

y = -3/2x - 7/2

Perpendicular lines always have opposite and reciprocal slopes. Therefore, we flip the slope in the original equation (-3/2 becomes -2/3) and then we change the sign (-2/3 becomes 2/3)

8 0
3 years ago
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