This is a probability question:A committee of six is to review the value of discipline in education. The committee is to be chosen randomly from 3 interest teachers, a student council of 6 students and 5 interested parents. What are the following probabilities?
a)no students are on the committee
b) The committee is made up only of students
c) There will be at least one teacher on the committee.

Answers

Answer 1

Answer: Im pretty sure it is b

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Write a function rule that represents the sentence
y is 5 less than the product of 4 and x.

Answers

y=5-4x
since less than is subtraction
is means equals
and product means you have to multiply the numbers

Final answer:

The function rule to represent the given sentence is y = 4x - 5.

Explanation:

To write a function rule that represents the sentence 'y is 5 less than the product of 4 and x,' we can use algebraic notation. The word 'less than' indicates a subtraction operation, so we can represent it as y = 4x - 5. In this function rule, 4x represents the product of 4 and x, and subtracting 5 from it gives us y.

Learn more about Function rule for subtraction here:

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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How fast was the pipe leaking in gallons per day? Round to the nearest tenth

Answers

Here's what you need to know in order to answer this:

   1 gallon = 128 fl oz
and
   1 day = 24 hours.

Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

(11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

   = (11 x 24 x 1 / 128) (fl-oz - hr - gal) / (hr - da - fl-oz)

   =     2.0625    gal/da

PROVE ALGEBRAICALLY THAT 0.5 = 5/9

Answers

Answer:

See Below.

Step-by-step explanation:

Let:

$0.\overline{5}=n$

If we multiply both sides by 10, we get:

$5.\overline{5}=10n$

Now, we will subtract n from both sides:

$5.\overline{5}-n=10n-n$

On the left, we can replace the n:

$5.\overline{5}-.\overline{5}=10n-n$

Subtract:

$5=9n$

Divide both sides by 9:

$n=(5)/(9)$

Hence:

$n=0.\overline{5}=(5)/(9)$

Final answer:

Algebraically, 0.5 does not equal to 5/9. Instead, when 5/9 is converted to a decimal it equals approximately 0.56. The correct fraction representation of 0.5 is 1/2.

Explanation:

I'm sorry, but there seems to be a misunderstanding in your question. The algebraic representation of 0.5 is not equal to 5/9. If you convert 5/9 to a decimal, using division on a calculator or by hand, it doesn't equate to 0.5, but rather approximately 0.56. Let's go through the conversion step by step:

1. Divide the numerator (5) by the denominator (9).

2. This will give you a decimal approximation for the fraction.

So, 5 ÷ 9 = 0.56 (rounded to two decimal places).

This clearly shows that algebraically 0.5 does not equal 5/9. The valid algebraic equivalent of 0.5 in terms of fraction is 1/2.

Learn more about Fraction and Decimal Conversion here:

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Vong grilled 21 burgers at a block party. He grilled the same number of pounds of turkey burgers as hamburgers. Each turkey burger weighed 1/4 & each hamburger weighed 1/3 pound. How many of each did Vong grill?

Answers

$x-number\ of\ hamburgers\n21-x-number\ of\ turkey\ burgers\n\n(1)/(4)x=(1)/(3)(21-x)\n\n(1)/(4)x=7-(1)/(3)x\n\n(3)/(12)x+(4)/(12)x=7\n\n(7)/(12)x=7\ \ \ \ \ |\cdot(12)/(7)\n\nx=12\n\n21-12=9\n\nVong\ grilled\ 12\ hamburgers\ and\ 9\ turkey\ burgers$

Your monthly living expenses are $585.00. Your monthly fixed expenses are $1078.00. Your annual fixed expenses are $2700.00. Calculate your total monthly expenses.

Answers

The answer for the total monthly expenses: $1078.80 + $585.00 = 1663.0

Determine whether triangle TJD is congruent to triangle SEK given T (-4,-2), J (0,5), D (1,-1), S (-1,3), E (3,10), K (4,4) and explain?

Answers

Yes, it is.

The three points of triangle SEK are the points of TJD shifted 3 units right and 5 units upward.

So they are the same triangle, just translated in the plane.

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