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stellarik [79]
2 years ago
15

Twice the difference of a number and 16 is the same as three times a number less than 18

Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Answer:

Step-by-step explanation:

Let x be the "number."

"twice the difference of a number and 16" can be written as:  

2(x-16)

"is the same as three times a number less than 18" can be written as:

= 3(x<18)

I wonder if this was meant to say "is the same as three times a number less  18," instead of "less than 18."  If so, we would have:

=3(x-18)

1.  Using the sentence as written:  2(x-16) = 3(x<18)

2.  Using the sentence as amended:  2(x-16) = =3(x-18)

 Going with this interpretation:  

 2(x-16) = 3(x-18)

2x - 32 = 3x - 54

x = 22

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To find the total number of combinations, multiply all the choices together:

3 eggs x 4 meats x 5 breads x 6 juices x 4 beverages:

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Step-by-step explanation:

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Hey everyone. I need the answer to this ASAP!: Michael knows that 2 cans of paint is the exact amount he needs to paint a 10-foo
Ivahew [28]

Answer:

See attachment for graph

<em></em>

Step-by-step explanation:

Given

2 cans = 10ft\ by\ 12ft

Required

Graph the relationship between both parameters

First, calculate the area;

Area = 10ft * 12ft

Area = 120ft^2

This implies that: (2, 120) i.e. 2 cans for 120ft^2.

So we have:

(0,0) and (2,120)

(0,0) implies that: 0 cans for 0 square feet

Calculate the slope:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{120 - 0}{2-0}

m = \frac{120 }{2}

m  = 60

The equation is:

y = m(x - x_1) + y_1

So, we have:

y = 60 * (x - 0) + 0

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<em>See attachment for graph</em>

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Read 2 more answers
In 1990, California switched from a 6/49 lottery to a 6/53 lottery. Later, the state switched again to a 6/51 lottery. (a) Find
zalisa [80]

Answer:

(a) 9.9321*10^{-11}

(b) 6.0498*10^{-11}

(c) 7.7120^{-11}

(d) 1.6417 times more probable

Step-by-step explanation:

(a) The probability of winning a 6/49 lottery is given by:

P = \frac{1}{49*48*47*46*45*44} =9.9321*10^{-11}

(b) The probability of winning a 6/53 lottery is given by:

P = \frac{1}{53*52*51*50*49*48} =6.0498*10^{-11}

(c) The probability of winning a 6/51 lottery is given by:

P = \frac{1}{51*50*49*48*47*46} =7.7120^{-11}

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

r=\frac{9.9321*10^{-11}}{6.0498^{-11}}\\r=1.6417

It is 1.6417 times more probable.

8 0
3 years ago
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