MATHEMATICS HIGH SCHOOL

Solve for x. 8(x + 1) - 3(x + 4) = 7(2 - x)

41/3

Answers

Answer 1
Answer: Step 1: Simplify both sides of the equation.
                          7(2-x)(41)
8(x+1)-3(x+4)= ----------------
                                 3

Simplify: (Show steps)
            -287          574
5x-4= ---------- x+ --------
               3               3

Step2: Add 287/3x to both sides.
           287        -287         574      287
5x-4+ -------x= ----------x+ -------+ -------x
              3            3             3          3
302/3x-4=574/3

Step 3: Add 4 to both sides.

302/3x-4+4=574/3+4
302/3x=586/3

Step 4: Multiply both sides by 3/302.

(3/302)*(302/3x)=(3/302)*(586/3)

                                                296
So your answer would be  x= --------
                                                151

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Find the simplified form of (t^4/10y^4)^-4

A computer simulation tossed a 10-faced die 5 times. How many possible outcomes exist?

Answers

The answer to the problem wherein a computer simulation tossed a 10-faced die 5 times and you have to compute for the possible outcomes is simple. The answer is 18,144, 000 possible outcomes (if it's a combination). I got this through simply getting the 10! (3,628,800) and multiplying it 5.
 
However, if order is important (permutation), the number of possible outcomes is is 30240. 

Answer:

B 100,000

Step-by-step explanation:

10^5 = 100,000

What is the equation of the line that passes through the point(4,-7) and has a slope of -3?

Answers

Answer: y + 7 = -3(x-4)

Template Equation : y - y1 = m(x - x1)

y1 represents the y value in the coordinate (-7)
x1 represents x value in the coordinate (4)

M = slope

Thus y - (-7) = y + 7
Because negative times a negative is positive

Then you just put together to get the equation y + 7 = -3(x-4)

Hope this helps:)
Sorry if I made a typo or a mistake:)
Answer: y+7=-3(x-4) or y=-3x-5

So when you got a question like this, DONT USE SLOPE INTERCEPT FORM. Always use point slope form, which is y-y₁=m(x-x₁). Please refer to my work (the attached picture) for more in depth work.

how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?

Answers

The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with at least

(24,000) x (0.015625) = 375 cubic inches.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in thebank for a while. Calculate the amount of money the group will have given the following scenarios:
b. Hot Bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5
years.

Answers

Answer:

The amount of money you will receive is $927.419

Step-by-step explanation:

Consider the provided information.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the  bank for a while.

We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5  years.

Future value can be calculated as:

FV=PV(1+r)^n

Substitute PV=800, r=0.03 and n=5 in above equation.

800(1+0.03)^5

800(1.03)^5=927.419

Hence, the amount of money you will receive is $927.419

There is a sales tax of $24 on an item that costs $276 before tax. A second item costs $218.50 before tax. What is the sales tax on the second item?

Answers

We have to determine the tax rate first, from the first item


So, we must find what percent is $24 of $276.


24/276 * 100 = 8.7%


Now we will calculate the 8.7% tax on the second item with cost $218.50


0.087 * 218.50 = 19.00


So the sales tax on the second item is $19

the Seattle Space needle is 604 feet tall. A model of the building is 48 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?

Answers

For the answer to the question above asking, what is the ratio of the height of the model to the height of the actual Space Needle the Seattle Space needle is 604 feet tall and a model of the building is 48 inches tall.
The answer would be is 6.05 feet or 6 feet 19/32 inch. I hope this helps

Answer:

The correct answer is C) 1:151

Step-by-step explanation:

I took the test and I originally put A) 151:1 but that is INCORRECT people!!! The correct answer is C) 1:151, so that being said if you see someone put A as the answer THAT IS WRONG!!

I took the test and got it wrong but now I know the answer so happy test taking (look at the ss)

hope this helps :)
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