MATHEMATICS HIGH SCHOOL

If 6x −3 = −5x +7, then x =?
Can someone explain this one?

Answers

Answer 1
Answer:

The average rate of change in the interval is r{a} = 15.

What is equation modelling? What is a mathematical equation and expression?

  • Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions.

Given is the equation as -

6x −3 = − 5x +7

We have -

6x −3 = − 5x +7

6x + 5x = 7 + 3

11x = 10

x = 10/11

Therefore, thevalue of [x] will be equivalent to 10/11.

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Answer 2
Answer: 6x-3=-5x+7

6x-3+3=-5x+7+3

6x+5x=-5x+5x+10

11x=10

x=(10)/(11)

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A trailer is rented at $30 per day plus a charge per mile of use. The trailer traveled 25 miles in one day, and the total charge was $130. Which equation can be used to find the charge x, in dollars, per mile traveled?30x + 25 = 130 30x + 25x = 130 30 + 25x = 130 30 + 25 = 130x
The cube of a positive number divided by the square of the same positive number is a. 2 b. 4 c. 6 or d. 8
Karina bought a camera with a regular price of $89. It was on sale at a 20% discount. There was a 7% tax on the sale price. How much did Karina spend to buy the camera?
Can someone help please
What is the square root of ab^2

Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?

Answers

first step is to add all the expenses of Sam bought. The sum is equal to 8 + 5 + 15 equal to $28. With the addition of the tax, the tax amounts to a total of $1.82. This means the tax, imposed is $1.82/$28 *100% equal to 6.5 percent

Answer:

6.5

Step-by-step explanation:

Gustavo created a four-part spinner to represent the four prizes that he had an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spun the spinner several times to demonstrate the likelihood of winning a certain prize. What is true about Gustavo’s data collection?
Gustavo used an experiment where the data is qualitative.
Gustavo used an experiment where the data is quantitative.
Gustavo used a simulation where the data is qualitative.
Gustavo used a simulation where the data is quantitative.

Answers

Your answer should be C which is the third option

Answer:

The answer is C i just took the test

Step-by-step explanation:

A right prism has square bases with edges that are three times as long as the lateral edges. The prism's total area is 750 m squared. Find the volume.

Answers

a=3h\ \ \ and\ \ \ A=2\cdot a^2+4\cdot a\cdot h\n\nA=2\cdot(3h)^3+4\cdot 3h\cdot h=2\cdot 9h^2+12h^2=30h^2\n\nA=750\ m^2\n\n\ \ \ \Rightarrow\ \ \ 30h^2=750\ /:30\ \ \ \Rightarrow\ \ \ h^2=25\ \ \ \Rightarrow\ \ \ h=5\ \ \ \Rightarrow\ \ \ a=15\n\nV=a^2\cdot h=15^2\cdot 5=225\cdot 5=1125\n\nAns.\ Volume=1125\ m^3.

Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles are similar?A.Two pairs of corresponding angles and one pair of corresponding sides

B.Two pairs of corresponding sides and one pair of corresponding angles

C.Two pairs of corresponding angles

D.Two pairs of corresponding sides

Answers

Answer:

Option C is correct.

Two pairs of corresponding angles

Step-by-step explanation:

Given triangle XYZ has been dilated to form triangle LMN.

Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.

therefore, the triangle XYZ  by a dilation is similar to triangle LMN

Similar figures have the

*same shape

*equal corresponding angle measures, and

*have proportional sides.

Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles

Two pairs of corresponding angles

Which value of x makes the open sentence true?
5x – 6 = x + 12

Answers

The way we approach a problem like this is by using a technique called "collecting like terms".
This means that we want to put all of the values with an "x" on one side and all of the normal numbers on the other. For this particular problem we can do this as follows:
5x - 6 = x + 12
Now move the (- 6) to the right side of the equation by adding 6 to both sides:
=> 5x = x + 12 + 6
Now move the (x) to the left side of the equation by subtracting (x) from both sides:
=> 5x - x = 12 + 6
Now perform the simple arithmetic on both sides:
=> 4x = 18
Now remove the 4 from in front of the (x) by multiplying the whole equation by (1/4)
=> x = 18/4
Therefore to make your open sentence true, x must equal 18/4, or to simplify, 9/2, or as a decimal, 4.5. I hope this helped, and remember to try and understand not just the answer, but the maths involved in getting to the answer too :))

1) What is the mathematical relationship between a^n and a^-n ? Explain

2) A positive exponent shows repeated multiplication . What repeated operation does a negative exponent show ?

I really need your help ! Thanks

Answers

A negative exponent (-n) just means that your base (a) is on the wrong side of the fraction bar meaning you would need to flip it to the other side. For example; if you have to write 2x^-3 using only positive exponents. you have 2x^-3/1 so you would have to move the negative exponent to the bottom which gives you 2/1x^3.

make sense?
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