The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.

Answers

Answer 1

Answer: mean of 6 numbers is 41 means
(x+y+z+t+a+b)/6=41
(x+5morenumbers)/6=41

if 1 is removed (say x)
mean iof 5 numbers is 46
(5morenumbers)/5=46

multiply first equaiton by 6 and second eqiaton by 5 to clear fractions
x+5morenumbers=246
5morenumbers=230

sub 230 for 5morenumbers in first equaiton
x+230=246
minus 230 both sides
x=16

the unknown is 16

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Is the number 144 rational or irrational?

Answers

The number 144 is rational because it can be expressed by 144/1

Rational because there are more factors other than 144 and 1.

Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus spells a word correctly and has the opposite score. Which is the correct way to represent “the opposite of Liliana’s score is equal to Marcus’s score”?

Answers

The correct way to represent “the opposite of Liliana’s score is + 18.

What are additive and multiplicative inverses?

A number's additive inverse is a number that is added to it until the result is zero.

A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.

We know if 'a' is a number then the opposite of 'a' is '- a'.

Given, Liliana spells a word incorrectly and loses 18 points.

Looses 18 points is '- 18'.

Marcus spells a word correctly and has the opposite score which is + 18.

As opposite of - 18 is + 18.

learn more about additive and multiplicative inverses here :

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Im pretty sure its -(-18)= -18

its a different way to write plus 18 so yeah

Ivanna spent a total of $95
at the grocery store. Of this amount, she spent
$57
on fruit. What percentage of the total did she spend on fruit?

Answers

60% of the money was spent on fruit.

Is 12 cups greater than 3 pints

Answers

yes. 1 pint = 2 cups. youd only need 6 cups to make 3 pints. therefore 12 cups would be 6 pints.

Answer:

Yes

Step-by-step explanation:

12 cups is 6 pints so therefore if 6 is greater than 3 your answer is yes.

Is 0.09 greater than 0.14

Answers

No 0.09 is less than 0.14

Decimal placement is key! 0.09 is in the hundreths while 0.14 is in the tenths making it closer to 1 and also greater than 0.09

no, it is not. 0.09 is one hundredth, so it would need 91 more hundredths to make a whole, but .14 has 1 tenth and 4 hundredth, so it has 14 hundredths. you would only need 86 more hundredths to make a whole ;)

The area of a rectangular patio is 3x2 + 17x + 20 ft2.Which of the following could bedimensions of the patio?

A. x + 5 ft by 3x + 4 ft
B. 3x + 5 ft by x + 4 ft
C. x + 5 ft by x + 4 ft
D. 3x + 5 ft by 3x + 4 ft

Answers

$3x^2+17x+20\n$ Your equation

$\left(3x^2+5x\right)+\left(12x+20\right)$ Simplify out the 17

$x\left(3x+5\right)+4\left(3x+5\right)$ Find the common number

$\left(3x+5\right)\left(x+4\right)$ These are your two answers

Your answer is B.

Answer:

Step-by-step explanation:

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