MATHEMATICS HIGH SCHOOL

Provide a counterexample for the following statement: "The product of two irrational numbers is always irrational."

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Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer: We know that root 2 is irrational, but root 2 times root 2 is 2, which is rational.

Hope this helped!!!

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The area of a rectangle is 77 yd2, and the length of the rectangle is 3 yd more than twice the width find the dimensions of the rectangle
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Containing the points (-1,2) and (5,-4)
Each month, Angela budgets $1340 for fixed expenses, $850 for living expenses, and $60 for annual expenses. Her annual net income is $26,760. Whichsentence best describes her monthly budget a. it shows a deficit of $20 b. it shows a surplus of $20 c. it shows a deficit of $140 d. it is balanced

A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ per minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.

Answers

Answer:

$12+0.07x< 15+0.05x$

Step-by-step explanation:

Let x be the no. of minutes

Plan A

Monthly rental = $12

Call charges for 1 minute = 7¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.07

Call charges for x minutes = 0.07 x

Total cost of Plan A = 12+0.07x

Plan B

Monthly rental = $15

Call charges for 1 minute = 5¢

1 cents = 0.01 dollars

So, Call charges for 1 minute = $0.05

Call charges for x minutes = 0.05 x

Total cost of Plan B = 15+0.05x

An inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B= $12+0.07x< 15+0.05x$

Solving the inequality :

$0.07x-0.05x< 15-12$

$0.02x< 3$

$x<(3)/(0.02)$

$x<150$

So, the no. of minutes must be less than 150 for Plan A to be less expensive than Plan B

Hence an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B is $12+0.07x< 15+0.05x$

7m+12<5m+15
7m-5m+12<5m-5m+15
2m+12<15
2m+12-12<15-12
2m<3
2m/2<3/2
m<3/2

I NEED HELP PLEASE ASAP!

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Answer:

make a line with arrows at the end. On the line, make a hash mark and label it -13. on the hash mark, make a filled-in circle and color the number line to the left of the circle, including the arrow.

Step-by-step explanation:

This is how you show it. :)

4 sisters share 3 muffins equally

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Four sisters share three muffins equally. That is:
$3/4 = 0.75.$

3/4 = 0,75 muffin / sister

Use Matrix method to solve the following linear equation system then solve it graphically. Question 1: 2x + 3y =20 Question 2:7x-2y =53

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This answer 89 and it is a fun thing to say but you can do 89 over one

Write 720,080 in expanded form with exponets

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Answer:

7x10^6+2x10^5+8x10

Step-by-step explanation:

clark left for school at 7:43 am He got to school 36 minutes later. At what time did Clark get to school

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Clark got to school at 8:19 am.
36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

Clark got to school at 8:19 am. ------------------ 36 minutes can be split up into 6 minutes and 30 minutes. Six minutes after 7:43 am is 7:49 am. Thirty minutes after 7:49 am is 8:19 am.

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The ratio of apples to bananas in a bowl of fruit is 2 to3. If there are 12 apples in the bowl, then how many bananas are there?