MATHEMATICS HIGH SCHOOL

The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

Answers

Answer 1
Answer: x+(x+1). First Integer is 18. Second Integer is 19

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If you multiply a number by five and then subtract negative ten, the difference is negative thirty. What is the number?
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Two consecutive positive integers form part of a Pythagorean triple. Always, never, or sometimes?

Answers

never because it dosent work

There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees are there in the parcel?

Answers

Let's call the number of rows 'R' . (Clever ?)

There are (3x -2) trees in each row, and there are 'R' rows,
so the total number of trees is [ R times (3x-2) ].

But the problem told you that the total number of trees is (24x-16).
So
       R(3x - 2) = (24x - 16)

For a quick, happy ending, how about factoring '8' out of the right side:

       R(3x - 2) = 8(3x - 2)

Is it jumping out at you yet ?
If not, then divide each side by (3x - 2) :

       R      =      8

There are eight (8) rows of trees.

Final answer:

To find the number of rows of trees in the parcel, we set up the equation (Number of rows) * (3x - 2) = 24x - 16. By solving this equation for the number of rows, we find that it equals (24x - 16) / (3x - 2).

Explanation:

The question is about determining the number of rows in a rectangular parcel of land with trees. It is given that each row has 3x-2 trees and the total is 24x-16 trees. We can set an equation based on this information: (Number of rows) x (Number of trees in each row) = Total number of trees. This gives us the following equation: (Number of rows) * (3x - 2) = 24x - 16. Solving for the number of rows, we divide each side of the equation by 3x - 2. Hence, the number of rows equals (24x - 16) / (3x - 2).

Learn more about Algebraic Expression here:

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I need help with the exponents

Answers

X^3 so u need to add the exponents -3 +4 + 2
-3 + 4 = 1 + 2 = 3 so x^(3)
the answer is x^3
to solve such questions you just need to add exponents

The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.What is the measure of X?
a 40°
b 46°
c 134°
d 90°

Answers

The angles in any quadrilateral must add up to 360 degrees.
A trapezoid is a quadrilateral, because it has four sides.

W+X+Y+Z=360 \n \n (134)+X+(46)+(134)=360 \n \n 314+X=360 \n \n X=46

Angle X is (b) 46 degrees.
B. 46 because the measure of all of the angles in a quadrilateral is 360. If you add 134+46+134 it equals 314, and 360-314 is 46.
 

1. Use a compass to draw a large circle.2. Without changing the compass setting, place the point of the compass on the circle and make a mark that intersects the circle.

3. Move the point of the compass to the mark you made and make another mark that intersects the circle.

4. Continue in this way around the circle until you come back to the first mark.

(Hint: The last mark might not coincide precisely with the first mark, but your drawing should look something like the sketch.)

5. Select one of the marks on the circle and use a straightedge to draw line segments connecting that mark to all the marks that are not next to it.

6. Repeat the process for each mark on the circle.

With the design you created in the previous question. Select a pair of adjacent compass marks on the circle. Then follow these instructions and answer the question. 1. Make a crease by folding the paper so that the two marks coincide with each other. When you open the paper, the crease will show you the midpoint along the circle between the two marks. 2. Repeat the process to find the midpoint between each pair of marks on the circle. 3. Use a straightedge to draw line segments connecting each midpoint to the midpoint that is next to it. What type of figure did you create?

Answers

So, the first shape is a pentagon, and the second figure, the one asked for, is a decagon (ten sided polygon), because each 'midpoint line' had two ends, which were factored in and doubled the amount of sides.

Step 1: pick a number step 2: double it
step 3: add 5
step 4: multiply by 50
step 5: if you've had your birthday this year ,add 1764,or,if you've not yet had your birthday this year ,add 1763
step 6: subtract the year of your birth
you should end up with a number which is a combination of the number you started with followed with your age. for example ,if you are 12 and you start with the number 27, the result should be 2712.
your task :
1. let n represent the number in step 1 and show what happens through step 6.
2. explain why the result is always the original number followed by your age. What would be the expression I would use?

Answers

if I pick n, it becomes 50(2n+5)+1764-2001 this is the expression
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