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RoseWind [281]
3 years ago
11

Can someone simplify this please (x+6)+(3x+5)

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:4x+11

Step-by-step explanation:

The parenthesis are useless so you just combine like terms

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What is the constant proportionality
Nastasia [14]

Answer:

The relationship between price and the number of empanadas is PROPORTIONAL.

1 Empanada = 50 cent = $0.5

Constant of PROPORTIONALITY = ½

Step-by-step explanation:

From the given table:

2 Empanadas = $1

6 Empanadas = $3

We see that, as the number of Empanadas increases, the amount in Dollars also increases. Such that:

Let E = Empanadas

$ = dollar

~ = sign of PROPORTIONALITY.

Therefore:

$ ~ E

$ = KE

Where K = constant of proportionality.

When E = 4; $ = 2

$2 = K4

K= 2/4

K = ½

$ = ½E (Binding formula)

This applies for all the number of Empanadas bought.

8 0
3 years ago
Joses ACT score had a z-score of .75.what was his ACT score?<br><br><br> mean score=21.1 sd=5.2
Zielflug [23.3K]

Answer:

X \sim N(21.1,5.2)  

Where \mu=21.1 and \sigma=5.2

And the z score is given by:

z = \frac{x -\mu}{\sigma}

And since z = 0.75 we can replace like this:

0.75 = \frac{x- 21.1}{5.2}

And if we solve for x we got:

x = 21.1 +0.75*5.2 = 25

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:

X \sim N(21.1,5.2)  

Where \mu=21.1 and \sigma=5.2

And the z score is given by:

z = \frac{x -\mu}{\sigma}

And since z = 0.75 we can replace like this:

0.75 = \frac{x- 21.1}{5.2}

And if we solve for x we got:

x = 21.1 +0.75*5.2 = 25

6 0
3 years ago
Let f(x) = x – 3 and g(x) = x + 11. Find f(x) • g(x).. . A] x2 – 8x – 33. . B] x2 – 8x + 14. . C] x2 + 8x + 14. . D] x2 + 8x – 3
Katarina [22]
F(x) = x-3 and g(x) = x+11 

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33 

so choice D. is right 

hope helped 
3 0
3 years ago
Read 2 more answers
If sales tax is 6% and you buy a shirt for $25 how much do you owe?
Leona [35]

Answer:

26.50

Step-by-step explanation:

First we need to calculate the sales tax

25 * 6%

Changing to decimal from

25 * .06

1.50

Then we add the tax to the cost of the shirt

25+1.50

26.50

We owe 26.50

7 0
3 years ago
Rena's rowboat drifts 23 feet from shore,
Brums [2.3K]

Answer: 23 + 9 = 32

Step-by-step explanation:

7 0
3 years ago
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