MATHEMATICS MIDDLE SCHOOL

12x−5y=−20
y=x+4

Answers

Answer 1

Answer:

Answer:

12x-5(x+4)=-20

7x=0

x=0

so,y=4

Answer 2

Answer: ANSWER:

x=0

STEP BY STEP EXPLANATION:

1.) 12x-5y=-20
y=x+4

2.) 12x-5(x+4)=-20
*because you are taking the y= equation and putting that into 5y replacing the y.

3.) 12x-5x-20=-20
*because you multiply -5 by the x and the 4 and get -5x-20.

4.) 7x-20=-20
*because you subtract 5x from 12x because you are using like terms to make the equation smaller.

5.) 7x=0
*because you add the 20 on both sides to cancel out the 20 to get x closer to being by itself.

6.) x=0
*because you divide 7 on both sides to get x completely by itself.

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A motorcycle license plate has 2 letters amd 3 numbers. What is the probability that a motorcycle has a license plate containing a double letter and an even number?

Answers

The probability that a motorcycle has a license plate containing a double letter and an even number $\boxed{\frac{1}{{52}}}.$

Further explanation:

The probability can be obtained as the ratio of favorable number of outcomes to the total number of outcomes.

$\boxed{{\text{Probability}} = \frac{{{\text{Favorable number of outcome}}}}{{{\text{Total number of outcomes}}}}}$

Given:

A motorcycle license plate has 2 letters and 3 numbers.

Explanation:

There are 26 letters.

The double letters are as follows,

$S = \left( {aa,bb,cc, \ldotszz} \right)$

The total numbers of double letters are $\boxed{26}$

The total number of even numbers can be obtained as follows,

$\begin{aligned}{\text{Total numbers}} &= 10 * 10 * 5\n&= 500\n\end{aligned}$

The favorable number of outcomes can be obtained as follows,

$\begin{aligned}{\text{Favourable number of outcomes}} &= 26 * 500 \n &= 13000\n\end{aliged}$

The total numbers of outcomes can be obtained as follows,

$\begin{aligned}{\text{Total number of outcomes}}&= 26 * 26 * 10 * 10 * 10 \n&= 676000\n\end{aligned}$

The probability that a motorcycle has a license plate containing a double letter and an even number $\boxed{\frac{1}{{52}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: motorcycle, license plate, 2 letters, 3 numbers, probability, motorcyclist, containing, double letter, even numbers, odd numbers.

How do you find the steepness on a graph?

Answers

To find the steepness of the graph we need to find the slope of the graph.

What is the slope of the graph?

The slope is the inclination of the graph from the x-axis, for a straight line we define the slope, for a curve at a point we define the slope of its tangent as the slope of the curve.

How to find the steepness/slope of the graph?

To find the slope of the graph, we find the angle the line makes from the x-axis and then find the tangent of the angle, so the slope or the steepness can be found by either using the points that the line passes through or finding the derivative of the curve at that certain point and we get the slope of the graph.

Learn more about slope/steepness here

brainly.com/question/27877215

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Hi there! It depends on how high the value is.

Drag and drop a statement or reason to each box to complete the proof.Given: parallelogram EFGH

Prove: EG bisects HF and HF bisects EG.

Answers

Answer:

Given : EFGH is a Parallelogram

Prove : EG Bisects HF , HF Bisects EG

Step-by-step explanation:

Proof

Check image below

Answer:

Given Parallelogram EFGH

EG bisects HF and HF bisects EG, if and only if both the diagnols have same mid point.

Step-by-step explanation:

Step 01:

Let

E be the point (a,b)

F be the point (a',b)

G be the point (a',b')

H be the point (a,b')

Step 02:

Now find mid points of EG and HF

mid point of EG = ( $(a+a')/(2)$ , $(b+b')/(2)$ ) and

mid point of HF = ( $(a'+a)/(2)$ , $(b'+b)/(2)$ )

Since addition is commutative, and they have the same mid-point, so they bisect each other.

A quality supervisor for a fctory that makes video games examines a sample of 82 video games. He finds that 7 video games are scratched. Which is the best prediction of the number of video games that will be scratched in a shipment of 6,000

Answers

probabllly bot somewhere in the 50s

the earth rotates about its axis once every 23 h 56 min 4 s, and the radius of the earth is 3960 mile. find the linear speed of a point on the equator in mi/h

Answers

$23h\ 56min\ 4s=\left(23+(56)/(60)+(4)/(3600)\right)h=\left((82800)/(3600)+(3360)/(3600)+(4)/(3600)\right)h\n\n=(86164)/(3600)h\approx23.93h\n\nL=2\pi R;\ R=3960mi\to L=2\pi\cdot3960mi=7920\pi mi\approx7920\cdot3.14mi\n\n=24868.8mi\n\nv=(24868.8)/(23.93)\ mi/h\approx1039.231\ mi/h\leftarrow answer$