MATHEMATICS MIDDLE SCHOOL

Which number sentence is always true? Select all that apply!Positive - positive = positive
Negative - positive = negative
Negative + negative = negative
Negative + positive = positive
Positive + positive = positive
Positive - negative = negative

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Negative - Positive = negative TRUE

eg: -5 - 2 = -7

Negative + Negative = negative TRUE

-8 + ( -2) = -10

Positive + positive = positive TRUE

8 + 2 = 10

Answer 2

Answer: Negative+positive=positive

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stephanie rides her bike 2 miles to the post office and then another 50 yards to the train station . How many yards long was her trip?
I am so confused on functions! Please help!

Anyone can help me with question 8A and 8B ?

Answers

All you have to do is draw the picture in 2 dimension from 3 dimension

Sin 2x=check all that apply
A. 2sin x cos x
B. 1-2 sin^2 x
C. 2cos x sin x
D. 2sin x +2cos x

Answers

Answer:

A,C

Step-by-step explanation:

sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x

or =2 cos x sin x

[sinx cox=cos x sin x ]

Which product is negative? −2⋅(−7)⋅12⋅(4)
−6⋅(−7)⋅(−8)⋅0
−3⋅(−2)⋅(−4)⋅(−7)
4⋅(−9)⋅(−3)⋅(−1)

Answers

Answer:

4⋅(−9)⋅(−3)⋅(−1) product is negative,

Step-by-step explanation:

Given : Numbers .

To find : Which product is negative.

Solution : We have given expression with positive sign and negative sign.

By the integer rule : When we multiplied the even number of negative it become positive .

Example: -a * - b = ab.

When we multiplied the odd number of negative it become negative .

Example: -a * - b* -c = - abc.

This expression have −6⋅(−7)⋅(−8)⋅0 have 3 negative sign but it has 0 so, this expression would be zero.

Then only this 4⋅(−9)⋅(−3)⋅(−1) expression have 3 negative sign

So, its product would be negative.

Therefore, 4⋅(−9)⋅(−3)⋅(−1) product is negative,

The negative answer is the last one, 4⋅(−9)⋅(−3)⋅(−1)

positive times a negative = a negative

negative times a negative= a positive

a positive times a negative= a negative

Bradley bought 36 yards of fabric to make costumes for the school play. How many inches of fabric did Bradley

Answers

the answer is 1,296 inches because a yard equals 36 inches.So do 36 times 36 and it equals 1,296.

Answer the answer is 1,296 inches because a yard equals 36 inches.So do 36 times 36 and it equals 1,296.

An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. The drain pipe can be used to empty the pool in 34 hours. If the pool is 1/3 filled and than the inlet pipe and drain pipe are opened how long would it take to fill the pool

Answers

Answer:

An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. Time it will take to fill the pool = 748 hrs

Solution:

Let x = time it will take to fill the pool

$(1)/(33)$ = work rate of inlet pipe

$(1)/(34)$ = work rate of drain pipe

Using the formulae

Volume of flow=work rate $*$ time

Let us assume complete time of pool to fill = 1

Remaining fraction of pool to be filled = $1-(1)/(3)=(2)/(3)$

$\begin{array}{l}{(1)/(33) x-(1)/(34) x=(2)/(3)} \n\n {(x)/(33)-(x)/(34)=(2)/(3)}\end{array}$

$(34 x-33 x)/(33 * 34)=(2)/(3)$

$34 x-33 x=(2 * 34 * 33)/(3)$

$\begin{array}{l}{x=(2244)/(3)} \n\n {x=(3168)/(3)} \n\n {x=748}\end{array}$

Time it will take to fill the pool = 748 hrs

What is the reciprocal of 2 3/8

Answers

Hey there! Let me help you!

To find what the reciprocal is, you have to turn a proper fraction upside down. For example, the reciprocal of 2/8 would be 8/2. However, when you have an improper fraction, you must first turn it into an improper fraction. To turn a mixed number into an improper fraction, multiply the denominator by the whole number and add the numerator. The denominator will stay the same. For example, to turn 2 3/8 into an improper fraction, multiply 8 by 2 and add 3. That equals to 19. The denominator will stay the same. So, the improper fraction for 2 3/8 is 19/8. Now, turn 19/8 into a reciprocal. 19/8 as a reciprocal would be 8/19.

Thank you!

The reciprocal of fraction 2(3/8) is 8/19.

We have,

To find the reciprocal of a number, we invert the fraction by swapping the numerator and denominator.

Given the number 2 3/8, we first convert it to an improperfraction:

2 3/8 = (2 * 8 + 3) / 8 = 19/8

To find the reciprocal, we invert the fraction by swapping the numerator and denominator:

Reciprocal = 8/19

Therefore,

The reciprocal of fraction 2(3/8) is 8/19.

Learn more about expressions here:

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