MATHEMATICS MIDDLE SCHOOL

Simplify the expression
9 + 10h + -5h = 0

Please show steps

Answers

Answer 1
Answer: 9 + 10h + -5h=0
19 + -5 =0
14=0

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Stacey's text messaging plan charges 20¢ for each message over 450 in addition to a $14 base charge. If she owes $18.00 for text messaging in the month of February, how many text messages did she send that month?

Answers

Stacey sent 470 text messages in the month of February.

Let's assume that Stacey sent x text messages in February. We know that her plan charges 20¢ for each message over 450, in addition to a $14 base charge. To find the total cost for her text messages in February, we can set up the following equation:

Total cost = Base charge + (Additional messages * Charge per message)

The base charge is $14, and the number of additional messages beyond 450 is (x - 450) since 450 messages are already covered in the base charge. The charge per message is 20¢, which is equivalent to 0.20 dollars. So, the equation becomes:

$18.00 = $14.00 + (0.20 * (x - 450))

Now, let's solve for x:

$18.00 - $14.00 = 0.20 * (x - 450)

$4.00 = 0.20x - 90

$4.00 + $90 = 0.20x

$94.00 = 0.20x

Now, to find the value of x (the total number of text messages), we divide both sides by 0.20:

x = $94.00 / 0.20

x = 470

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$18 = 14 + 0.20(t)

- 14

4 =  0.20t

Divide 4 by 0.20

t = 20

0.20 * 20 = 4

4 + 14 = 18

Because it only charged her for texts after 450, its 450 + 20.

470. She sent 470 texts that month.

What is 324,650 rounded to the nearest thousands

Answers


The next bigger thousand is  325,000 .
The next smaller thousand is  324,000 .

324,650  is closer to  325,000  than it is to  324,000 .

So  325,000  is the nearest thousand.

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

Answers

Answer:

47

Step-by-step explanation:

I had to look up how many cards in a deck to answer this question XD

This proves how little I play cards

Find the unknown side length for the parallelogram. Area = 98 m2





A.
882 m


B.
441 m


C.
10.89 m


D.
0.092 m

Answers

The answer is C (10.89 m)

x * 9 = 98 m²
x = 98 ÷ 9
x = 10.888888 or 10.89 m

Please help 99 points!!!! 6x-3=3x-9

Answers

Answer: x=-2

Step-by-step explanation:

addition property of equality is adding the same number to both sides of an equation does not change the equation.

distributive property: a(b+c)=ab+ac

add 3 both sides of an equation.

6x-3+3=3x-9+3

simplify an equation

6x=3x-6

subtract 3x both sides of an equation

6x-3x=3x-6-3x

simplify

3x=-6

divide 3 both sides of an equation

3x/3=-6/3

simplify

-6/3=-2

the answer should be the negative sign.

x=-2

Hope this helps!

Thanks!
I think It would be x= -1

Can someone explain to me why the answer is 3cos3x (it has something to do with chain rule i think)

Answers

Use the fundamental theorem of calculus. It says that

\displaystyle(\mathrm d)/(\mathrm dx)\int_{\text{constant}}^(g(x))f(t)\,\mathrm dt=f(g(x))\cdot(\mathrm dg)/(\mathrm dx)

In this case, g(x)=3x and f(t)=\cos t. Then

\displaystyle(\mathrm d)/(\mathrm dx)\int_0^(3x)\cos t\,\mathrm dt=\cos(3x)\cdot(\mathrm d)/(\mathrm dx)3x=3\cos3x
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