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gregori [183]
3 years ago
6

True expression -50x+ 100 represents the balance, in dollars, of a bank account after x months. What is the range of change, in

dollars per month, of the bank account balance?
Mathematics
1 answer:
JulijaS [17]3 years ago
5 0

Let

x--------> the number of months

y-------> represents the balance, in dollars, of a bank account

we know that

y=-50x+100

the rate of change is equal to the slope of the line

so

m=-50\frac{\$}{month}

therefore

<u>the answer is</u>

the rate of change is -50\frac{\$}{month}

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Answer

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18. - x ^ 2 + 3x + 4 <= 0

19. x ^ 2 - 12x + 36 <= 0

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2 years ago
How many gallons of a 80% antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antif
konstantin123 [22]

440 gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get a mixture that is 70% antifreeze

<em><u>Solution:</u></em>

Let "x" be the gallons of 80 % antifreeze added

Therefore, "x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze

Final mixture is x + 80

Therefore, we can frame a equation as:

"x" gallons of 80 % antifreeze solution must be mixed with 80 gallons of 15% antifreeze to get (x + 80) gallons of 70 % antifreeze

Thus, we get,

x gallons of 80 % + 80 gallons of 15 % = (x + 80) gallons of 70 %

x \times \frac{80}{100} + 80 \times \frac{15}{100} = (x+80) \times \frac{70}{100}\\\\0.8x + 80 \times 0.15 = (x+80) \times 0.7\\\\0.8x+12 = 0.7x+56\\\\0.8x-0.7x=56-12\\\\0.1x = 44\\\\x = \frac{44}{0.1}\\\\x = 440

Thus 440 gallons of 80 % antifreeze solution must be mixed

4 0
3 years ago
The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w
aleksklad [387]

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

7 0
3 years ago
Read 2 more answers
What is the value of x in the equation 25x2 = 16?
valentina_108 [34]
<span>25x2 = 16
x^2 = 16/25
</span>x^2 = 4^2/5^2
<span>x = 4/5

</span>
7 0
3 years ago
Read 2 more answers
PLS HELP ASAP Cassandra earns $12. 98 an hour working at Key Food. How much money will she earn this month, if she works 36. 7 h
lord [1]

Answer:

476.37

Step-by-step explanation:

$12.98/hr at KF (Key Food)
$x/36.7, so look at it fractionally.
36.7x12.98
This wil be 476.366
Rounding to the nearest hundredth is 2 decimal places (tenths, hundredths).
476.366 will be 476.37

7 0
2 years ago
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