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2 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]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 graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?

elena55 [62]

Answer:

The correct option is c.

Step-by-step explanation:

The given equation is

$15x+7y=15$

The given inequality is

$15x+7y\geq 15$

A point will contained in solution set if the above inequality satisfied by that point.

Check the point (0,-3),

$15(0)+7(-3)\geq 15$

$-21\geq 15$

This statement is false, therefore option a is incorrect.

Check the point (-3,0),

$15(-3)+7(0)\geq 15$

$-45\geq 15$

This statement is false, therefore option b is incorrect.

Check the point (3,3),

$15(3)+7(3)\geq 15$

$66\geq 15$

This statement is true, therefore option c is correct.

Check the point (-3,-3),

$15(-3)+7(-3)\geq 15$

$-66\geq 15$

This statement is false, therefore option d is incorrect.

7 0

3 years ago

What’s the answer ?

xxMikexx [17]

B 5x+20 hope this helps!!

8 0

3 years ago

Express 25km/h into m/s?

Helen [10]

Answer:

3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.

Step-by-step explanation:

I think that explanation is obvious

7 0

2 years ago

Can someone help me with this?

disa [49]

Alright, the answer is B and I’ll tell you why. Look at the problem and see the order that they write the triangles in. ABC and XYZ, this is telling us that the angles in order are congruent to each other. Hope this helps :)

7 0

3 years ago

This expression is factored what is it's trinomal form?<br> (5x+2)(x-3)

Mkey [24]

Answer:

5x² - 13x - 6

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

5x(x - 3) + 2(x - 3) ← distribute both parenthesis

= 5x² - 15x + 2x - 6 ← collect like terms

= 5x² - 13x - 6

8 0

3 years ago