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Sphinxa [80]
3 years ago
10

In the last draw, the grand prize was won. If there are three winners, each would have received $ 720,000; if there are four win

ners, each of the winners would receive $ 540,000. How many winners are there if everyone has $ 144,000?
a) 12 winners
b) 15 winners
c) 16 winners
d) 18 winners

( if your doing this can you please do it step by step )
Mathematics
1 answer:
larisa86 [58]3 years ago
5 0

Answer:

b) 15 winners

Step-by-step explanation

if 3 winners get $720,000 each that means there is $2,160,000 total. So if each winner gets $144,000 each that means there are 15 winners.

(2,160,000/ 144,000)

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Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15
d1i1m1o1n [39]

Answer:

4). 8a^{3}b^{15}

Step-by-step explanation:

The Given expression is that,

(2ab^{5})^{3}

On simplifying,

(2ab^{5})^{3} = (2ab^{5} )(2ab^{5}) (2ab^{5})

= (2^{3} ) * (ab^{5})^{3}

= (2×2×2) × (ab^{5} × ab^{5} × ab^{5})

= 8a^{3}b^{15}

Thus, <u>option 4</u> i.e.  8a^{3}b^{15} is the correct simplification of the given expression.

4 0
2 years ago
Show me how to do this​
romanna [79]

Answer:

<h2>x = 7 cm</h2>

Step-by-step explanation:

The perimeter of the given triangle:

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Therefore we have the equation:

2x + 1 + x + 2 + 3x - 9 = 36          <em>combine like terms</em>

(2x + x + 3x) + (1 + 2 - 9) = 36

6x - 6 = 36      <em>add 6 to both sides</em>

6x = 42          <em>divide both sides by 6</em>

x = 7

4 0
3 years ago
A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s
Annette [7]

Answer:

The number of clarinets musical store sold was 16. and number of trumpets musical store sold was 11.

Step-by-step explanation:

Let the musical store sells 'x' number of trumpets and 'y' number of clarinets.

According to question,

Total number of  trumpets and clarinets sold is 27 that is

x+y=27 ..............(1)

Also given Trumpets cost $149 and clarinets cost $99.

then the shop sold x trumpets for $149x and sold y clarinets for $99y and total sales were $3233.

thus, 149x+99y=3233  ...........(2)

Solving for equation (1) and (2),

Multiply equation (1) by 149 , we get

(1) ⇒ 149x+149y=4023  ........(3)

Now, subtract equation (3) from equation (2) , we get

149x+149y-(149x+99y)=4023-3233

\Rightarrow 149x+149y-149x-99y=790

\Rightarrow 149y-99y=790

\Rightarrow 50y =790

\Rightarrow y =\frac{790}{50}=15.8

Thus, number of clarinets musical store sold was 15.8 but since clarinets are to be in whole number rounding off to the nearest integer 16.

and put y = 16 in (1) , we get

x+y=27 \Rightarrow x+16=27 \Rightarrow x=27-16=11

Thus, number of trumpets musical store sold was 11.


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Answer:

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Step-by-step explanation:

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