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3 years ago

The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

7 0

Alright...so the coordinates of an ordered pair have opposite signs [one sign is positive while the other is negative] so we could have an example of (-x,+y) or (+x,-y) ...that means out of the 4 quadrants these points could be in the 2nd quadrant or the 4th quadrant or corners of the graph

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If 3 is added to a number and multiplied the result by 5 gives 55 what is the number

MakcuM [25]

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

6 0

3 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

When 3(2x + 5) is added to 2(2x − 4) the resulting expression is?

velikii [3]

Answer:

10x + 7

Step-by-step explanation:

3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)

Remember PEMDAS

P – Parentheses (distribution)

E – Exponents

M – Multiplication

/D – Division (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, we will distribute the left side.

3(2x + 5)

3 * 2x = 6x

3 * 5 = 15

Add them together to get:

6x + 15

6x + 15 + 2(2x - 4)

We must now distribute the right side.

2 * 2x = 4x

2 * -4 = -8

Add them together to get:

4x -8

We now have:

6x + 15 + 4x - 8

<u>Let's combine like terms.</u>

6x and 4x are like terms.

Combine: 6x + 4x = 10x

15 and -8 are like terms.

15 - 8 = 7

Now we have 10x + 7

Since 10 and 7 don't have any GCF, we have our answer.

10x + 7

~ $InLoveWithPugs$

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8 0

3 years ago

Which variable expression is a translation of the word phrase three less than the product of a number six

Nuetrik [128]

I think it would be n(6)-3

8 0

3 years ago

Of the marbles in a bag 5 are white 4 are yellow and 2 are green Sandra will randomly choose one marble from the bag fill in the

castortr0y [4]

Answer:

4, 11, 4/11

Step-by-step explanation:

there are 5 white marbles, 4 yellow marbles, and 2 green marbles.

there are 11 marbles in total, and 4 yellow marbles

the probability of her selecting a yellow marble is 4/11

7 0

3 years ago