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3 years ago

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

Mathematics

1 answer:

ikadub [295]3 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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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = $\frac{20}{-15}$

a = $\frac{4}{-3}$

Therefore, the answer is a = $\frac{4}{-3}$

Keyword: Equations

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4 0

3 years ago

A right triangle has a hypotenuse length of 60, and one side length of 24. Do the side lengths form a Pythagorean triple? Explai

Alexeev081 [22]

You can test this using the equation: a^2 + b^2 = c^2.

24^2 + b^2 = 60^2

576 + b^2 = 3,600

b^2 = 3,024

b = 54.999

Since b is not a whole number, the side lengths do not form a Pythagorean triple.

Brainliest answer please!!!

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3 years ago

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11Alexandr11 [23.1K]

the answer is........ B

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3 years ago

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Radda [10]

The answer is B, f(x)=1/(x-6)

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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually g

solmaris [256]

Answer:

A. p(x) = 19x - 15

Step-by-step explanation:

→Set it up, like so:

$(25x)-(6x+15)$

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→Add like terms (25x and -6x):

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