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3 years ago

Solve each inequality and graph the solution 5+ x <12

Mathematics

1 answer:

Ber [7]3 years ago

8 0

Answer:

Inequality Form:

x<7

Interval Notation:

(−∞,7)

Step-by-step explanation:

plz give brainlyest

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Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?

skelet666 [1.2K]

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let <em>x</em> represent 20¢ coins and <em>y</em> represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

$x=y+4$

And the total value of all her coins is $3.80. Thus:

$0.2x+0.05y=3.8$

This yields a system of equations:

$\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}$

We can solve by substitution. Substitute the first equation into the first:

$\displaystyle 0.2(y+4)+0.05y=3.8$

Distribute:

$\displaystyle 0.2y+0.8+0.05y=3.8$

Combine like terms:

$\displaystyle 0.25y = 3$

And divide both sides by 0.25. Hence:

$y=12$

Thus, Amy has 12 5¢ coins.

Using the first equation:

$x=y+4$

Substitute:

$x=(12)+4=16$

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

6 0

3 years ago

Solve ln 2 + ln x = 5 . Round to the nearest thousandth, if necessary. show work please

Paraphin [41]

$\ln 2 + \ln x = 5\\\\\implies \ln(2x) = 5\\\\\implies 2x = e^5\\\\\implies x = \dfrac{e^5}2 = 74.207$

6 0

3 years ago

(Need help ASAP) In a research experiment, the population of a colony of bacteria doubles every hour. The population, f(x), of t

marusya05 [52]

Answer:

Step-by-step explanation:

The answer is 3

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3 years ago

At a high school, the probability that a student is a senior is a 0.25. The

Svetach [21]

Answer:

110

Step-by-step explanation:

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3 years ago

I NEED HELP ON THESE PLSS

mafiozo [28]

Question 1

$2(5y-2)=12+6y$

Distributing 2 on 5y -2, we will get

$10y-4=12+6y$

But student get

$7y-4=12+6y$

So the student make an error in step 2 .

Second question

$Equation \ P : y+z=6 \\ Equation \ Q : 8y+7z=1$

To get rid of y, we have to multiply first equation by -8 and add the resultant equation with equation Q .

4 0

3 years ago