MATHEMATICS MIDDLE SCHOOL

Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your answer.

Answers

Answer 1

Answer:

Answer:

Anthony is incorrect

According to the order of operations(PEMDAS), you must first multiply 10 × 3

which equals 30, then you add 2, which equals 32, finally you subtract 2, which brings you back to 30

10 × 3 = 30

2 + 30 - 2 = 30

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Any smart people out there, i really suck at these problems... Five times Lauren's age, decreased by 2 is equal to two times Lauren's age, increased by 11. How old is Lauren?

Answers

Set Lauren's age equal to L.

Using what the problem gave us, we can quickly set up an equation:

5L - 2 = 2L

Solving this equation, we get 3L = 2. L = 2/3 Lauren is 2/3 of a year old.

Take it slowly, one step at a time.

First, you need to pick something to call "Lauren's age",
because you don't know what number it is. I have a bright idea !
Let's call Lauren's age ' L ' ! OK ?

Use ' L ' to build the quantities discussed in the question:

Five times Lauren's age . . . . . . . . . . . . . . . . . 5 L
Five times Lauren's age, decreased by 2 . . . 5L - 2

Two times Lauren's age . . . . . . . . . . . . . . . . . 2 L
Two times Lauren's age, increased by 11 . . . 2L + 11

The question says that these 2 quantities are equal,
so write that down:
      5L - 2 = 2L + 11

Add 2 to each side:     5L      = 2L + 13

Subtract 2L from each side: 3L      =   13

Divide each side by 3 : L      =   13/3 or 4 and 1/3 .

That's certainly a weird number, but you can
check it out, and you'll find that it's true:

Lauren's age . . . . . 13/3

Five times Lauren's age . . . . . . . . . . . . . . . . . 65/3
Five times Lauren's age, decreased by 2 . . . 59/3 <===

Two times Lauren's age . . . . . . . . . . . . . . . . . 26/3
Two times Lauren's age, increased by 11 . . . 59/3 <===

Those 2 quantities are equal. So Lauren is 4-1/3 years old, by golly !

20x + 35y. What is the greatest common factor of the terms 20x and 35y?

Answers

The greatest common factor is 5 .

If you factor it out, the expression becomes 5 (4x + 7y) .

The greatest common factor would be 5.

Hello everyone! I really need these two by Friday. & can you explain how you got the answer to the top one? Thank you all in advance!!!!!!!!! (it's just two)

Answers

the answer to the first:

x>9 ⇒ x∈(9,+∞)
the graph shows that the x is bigger that 9 but IT CAN'T BE 9, we can tell that because the inner of the dot is white (if the inner of the dot was black too it would meant that the x would be bigger that 9 but it could be 9 as well).
I also inserted a picture which shows what I'm talking you about (just ignore the greek on the top).

the answer to the second:

4(3x)+7-5x-5+3y-y=
= 12x+7-5x-5+3y-y
=7x-2y+2

A ball is thrown straight up in the air from a height of 6 feet at a speed of 80 feet per second. The height of the ball in feet is given by -16t^2+80t+6 where t is the time in seconds. What is the height of the ball after 3 seconds?

Answers

Substitute 3 for t in the formula for height:

$-16t^2+80t+6=-16(3)^2+80(3)+6=-144+240+6=102$

The height of the ball after 3 seconds is 102 feet.

The low temperatures for one week at a ski resort were: -24, -15, -21, -32, -18, -9, & -14. What was the mean low temperature at the resort for the week?

Answers

add the temps up
-24 + (-15) + (-21) + (-32) + (-18) + (-9) + (-14) = -133
now divide by how many numbers there are
-133/7 = -19 <== the mean (average)

Mark wrote the highest score he made on his new video game as the product of 70x6,000. Use the associative and commutative properties to show how mark can calculate this product mentally