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netineya [11]
2 years ago
5

The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers

Mathematics
1 answer:
ikadub [295]2 years ago
8 0

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 ,  so for this problem the greater one is represented by x + 1.

Now you need to translate the problem.  the greater is  seven less than 1/3 the smaller

--->  x + 1 = (1/3)*x - 7 --->  now solve for x (the smaller) and x+1  (the greater)

***hint:  to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

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The perimeter of a rectangular field is 26 yards. The length is 4 more yards than twice the width. Find the length and width of
solong [7]

The formula for perimeter is P = 2length + 2width (P = 2L + 2W)

You know that the length is 4 more yards then twice the width. In equation form this would be:

length = 4 + 2w

Plug what you know into the perimeter formula:

26 = 2(4 + 2w) + 2w

First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...

26 = (2 * 4) + (2 * 2w) + 2w

26 = 8 + 4w + 2w

Now you must combine like terms. This means that first numbers with  the same variables (w) must be combined...

26 = 8 + 4w + 2w

4w + 2w = 6w

26 = 8 + 6w

Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.

26 - 8 = 8 - 8 + 6w

18 = 0 + 6w

18 = 6w

To isolate w divide 6 to both sides

18 / 6 = 6w / 6

w = 3

We know that the width is 3 ft

Now you must find the length. To do this plug 3 where you see w in the equation:

length = 4 + 2w

l = 4 + 2(3)

l = 4 + 6

l = 10

We know that length is 10 ft

Letter B. is the correct answer

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3 years ago
What does a triangle with the measures 20,60, and 100 degrees look like?
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5 0
3 years ago
In the diagram, BC is a radius of C. Determine whether AB is tangent to C. Explain your reasoning.
Whitepunk [10]

Answer:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

Step-by-step explanation:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49  Since this is false, it's not a right angle, and AB is not tangent.

6 0
2 years ago
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