MATHEMATICS HIGH SCHOOL

Simplify -2[9 - (x + 7)].

-32 - x
-4 - x
-4 + 2x
-32 + 2x

Answers

Answer 1
Answer: -4 + 2x

Hope this helps

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The number of subscribers y to a magazine after t years is shown by the equation below: y = 95(0.75)t Which conclusion is correct about the number of subscribers to the magazine? It increased by 25% every year. It decreased by 25% every year. It increased by 75% every year. It decreased by 75% every year.
Three machines A, B, and C produce respectively 50%, 30%, and 20% of the total number of items of a factory. The percentage of defective output of these machines is 3%, 4%, and 5% respectively. If an item is selected at random, find the probability that the item is non-defective.

I would appreciate if u guys would help me rn.

Answers

Answer:

11 is 18.54 ft   12 is 351.86 cm     13 is 109.96 inches

Step-by-step explanation:

Marcus is selling lemonade and peanuts. Each cup of lemonade costs $0.75, and each bag of peanuts costs $0.35. On Saturday, Marcusvsold 5 more cups of lemonade than bags peanuts. He earned $7.05. How many cups of lemonade did Marcus sell on Saturday rc

Answers

Marcus is selling lemonade and peanuts.
Let X = lemonade
Let Y = peanuts

On Saturday, Marcus sold 5 more cups of lemonade than bags of peanuts
So, X = Y + 5 and he earned 7.05

Forming the equation.
[(Y+5)*0.75] + (Y*0.35) = 7.05
0.75Y + 3.75 + 0.35Y = 7.05
1.1Y = 7.05 - 3.75
1.1Y = 3.3
Y = 3

So the number of cups of lemonade is Y + 5 = 3 + 5 = 8
So there are 8 cups.

Help on questions 11 and 15 Add and simplify if possible

Answers

(16+x)/(x^3)+(7-4x)/(x^3)=(16+x+7-4x)/(x^3)=(23-3x)/(x^3)\n\n======================================\n\n(5)/(t-1)+(3)/(t)=(5t)/(t(t-1))+(3(t-1))/(t(t-1))=(5t+3t-3)/(t^2-t)=(8t-3)/(t^2-t)
(16+x)/(x^(3) ) + (7-4x)/( x^(3) ) \n 16+x+7-4x = 23-3x \n (23 -3x)/( x^(3) )
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(5)/(t-1) +(3)/(t) \n \n (5t+(t-1)(3))/((t-1)(t)) \n \n (5t+3t-3)/( t^(2)-t ) \n \n (8t-3)/( t^(2)-t )

Curtis invests $800,000 in a city of Athens bond that pays 10% interest. Alternatively, Curtis could have invested the $800,000 in a bond recently issued by Initech, Inc. that pays 12.5% interest with similar risk as the city of Athens bond. Assume that Curtis's marginal tax rate is 24%. What is Curtis's after-tax rate of return on the city of Athens bond?

Answers

Answer:

To calculate Curtis's after-tax rate of return on the city of Athens bond, we need to consider his marginal tax rate.   First, let's find the annual interest earned from the bond investment. Curtis invested $800,000 in a city of Athens bond that pays 10% interest. So, the annual interest earned will be 10% of $800,000, which is $80,000.  Now, let's calculate the amount of tax Curtis needs to pay on this interest income. Given that Curtis's marginal tax rate is 24%, he will need to pay 24% of the $80,000 interest income as tax. This is calculated as 24% of $80,000, which is $19,200.  To find Curtis's after-tax rate of return, we need to subtract the tax paid from the interest earned and divide it by the initial investment. So, the after-tax rate of return on the city of Athens bond can be calculated as:  After-tax rate of return = (Interest earned - Tax paid) / Initial investment  After-tax rate of return = ($80,000 - $19,200) / $800,000  After-tax rate of return = $60,800 / $800,000  After-tax rate of return = 0.076, or 7.6%  Therefore, Curtis's after-tax rate of return on the city of Athens bond is 7.6%. This means that after paying taxes, he will earn a net return of 7.6% on his initial investment of $800,000.

A number cube is rolled. What is the probability of rolling a 2,3, or 5?

Answers

Well if the number cube goes up to 6 like most number cubes, then the probability would be 3/6 because there are 3 numbers that you want to roll (2, 3, and 5) out of 6 total numbers (1-6). Then 3/6 can be further simplified to 1/2. So the answer should be 1/2.

Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your How can he check his answer?



Show the correct solution:

Answers

HOW CAN HE CHECK HIS ANSWER:
  HE CAN CHECK HIS ANSWER BY PLUGGING IN HIS X VALUE, AFTER HE GETS THE CORRECT ANSWER. 
SHOW THE CORRECT ANSWER: 
 3(3x+6) = 4(7x-1)
 9x+18 = 28x-4
 18 = 19x-4
 22 = 19x
 22/19 = x

CHECK:
3(22/19+6)/8 = 7(22/19-1)/6
45/38 = 45/38 ( Is true)

hope this helps!!

Well, first of all, the bottom 2 lines are cut off of the bottom of Max's solution,
and his final answer doesn't even appear there.

Here . . . let me complete it for you:
Under the part printed on the page should be:

             19  =  19x

               x  =  1

=========================================

Now that Max has an answer, he can check it by writing it into the
original equation wherever there's an 'x' there.

The original:                                (3x-6) / 8  =  (7x-1) / 6

With Max's answer written in:    (3·1 - 6) / 8  =  (7·1-1) / 6

Simplify the left side:                   (3 - 6) / 8  =  (7·1-1) / 6
                                                          -3/8  =  (7·1-1) / 6

Simplify the right side:                       -3/8  =  (7-1) / 6
                                                          -3/8  =   6 / 6
                                                          -3/8  =  1
This result is not a true statement,
so 'x' can't be ' 1 '.

We have to go back, look through Max's work, and find his mistake.
(Actually, Max won't learn anything that way ... MAX should be looking through
his work to find his mistake. But life is not always fair.)

The third line of Max's solution is      3 (3x + 6)  =  4 (7x - 1)

Then he goes on to clear the
parentheses, and the next line is:        9x + 18  =  28x - 1

That's where his mistake is.  The left side is correct,
but on the right side, Max distributed the '4' incorrectly.
Shame on Max. 
This line should be                              9x + 18  =  28x - 4 .
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