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pentagon [3]
3 years ago
11

Find the greatest number which divides 125 and 245 leaving remainder 4and3 respectively.​

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

Step-by-step explanation:

The number will be no larger than the square root of 125. Checking the results, the answer turns out to be 11

125/11 = 11.363636....

.3636363636..... * 11 = 4 just what we wanted.

245 / 11 = 22.2727272727....

.272727272727 ,,, * 11 = 3 just what the question asked for.

Is there anything larger? No. sqrt(125) is going to determine the limit of divisors that we can try.

marusya05 [52]3 years ago
3 0
4 would be the greatest number o-o
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soldi70 [24.7K]
Hey there! The answer is 7x + 4y < 40

Let's first rearrange our data in a more structured way.

x represents a box of wings which has a cost of $7.00. Therefore the total cost of the boxes is 7x.

y represents a tray of nachos which has a cost of $4.00. Therefore the total cost of the trays is 4y.

The sum of the costs of trays and boxes, which is (7x + 4y) must be smaller than $40.

Now we can set up the inequality.
7x + 4y < 40

~ Hope this helps you!
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3 years ago
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alukav5142 [94]

This is a vertical line that goes through all points with an x-coordinate of -9.

To graph it, I can give you a couple of points this line goes through so you can draw it more easily.

Points that are on line: (-9,0) and (-9,1)

6 0
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What is the vertex of the quadratic function below?
zysi [14]

Answer:

Option A: (4, -15).

Step-by-step explanation:

Given the quadratic function, y = x² - 8x + 1, where a = 1, b = -8, and c = 1:

<h3><u>Solve for the x-coordinate of the vertex:</u></h3>

We can use the following equation to solve for the x-coordinate of the vertex:

\displaystyle\mathsf{x\:=\:\frac{-b}{2a}}

Substitute the given values into the formula:

\displaystyle\mathsf{x\:=\:\frac{-b}{2a}\:=\:\frac{-(-8)}{2(1)}\:=\:\frac{8}{2}\:=\:4}

Hence, the x-coordinate of the vertex is 4.

<h3><u>Solve for the y-coordinate of the vertex:</u></h3>

Next, substitute the x-coordinate of the vertex into the given quadratic function to solve for its corresponding y-coordinate:

y = x² - 8x + 1

y = (4)² - 8(4) + 1

y = 16 - 32 + 1

y = -15

Therefore, the vertex of the given quadratic function, y = x² - 8x + 1, is: x = 4, y = -15, or (4, -15).  Thus, the correct answer is Option A: (4, -15).

3 0
2 years ago
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In the diagram, what is the measure of WRS?<br> O 5°<br> O 7.5°<br> O 25°<br> O 37.5°
Valentin [98]

Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)°          (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

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Given: ∠TSR = (25x + 30)°

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(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

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Therefore, the measure of ∠WRS is 25°.

4 0
3 years ago
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Julli [10]

Answer:

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Step-by-step explanation:

Solution for (6c-5) + (-6c)

Simplifying ,

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Reordering the given terms:

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Remove "parenthesis" around (-5 + 6c)

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we could not find the solution for the given (6c - 5) + (-6c).

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