I really need help to understand this problem for my end of course exam!!!!

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

Answer: PR and CK form right angles.

Step-by-step explanation:

By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.

Answer:

Sample Respond: Let's assume it's equal to 14 cm. Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm . You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm² . Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm .

Step-by-step explanation:

I got 100% on the quiz

Answer:

It can

Step-by-step explanation:

For example, the GCF of 44 and 22 is 22.

Answer:

no solution

Step-by-step explanation:

Solve:

6(2k + 1) = 12k + 1

Expand brackets:

⇒  12k + 6 = 12k + 1

Subtract 12k from both sides:

⇒  6 = 1

As 6 ≠ 1 there is no solution

Answer:

No solution

Step-by-step explanation:

Simplify the L.H.S and the R.H.S

⇒ [tex]6(2k + 1) = 12k + 1[/tex]

⇒ [tex]12k + 6 = 12k + 1[/tex]

Cancel out the "12k"

⇒ [tex]12k + 6 = 12k + 1[/tex]

⇒ [tex]6 = 1 (\text{False})[/tex]

Henceforth, this equation has no solution.

Answer:

  13 units

Step-by-step explanation:

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is ...

  d² = 12² +5² = 144 +25 = 169

  d = √169 = 13

The distance between the two points is 13 units.

_____

Additional comment

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

Answer:

(f+g)(x) = 5x - 1

Step-by-step explanation:

Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)

f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)

(f+g)(x) =

f(x) + g(x)

3x + 4 + 2x - 5 (combine like terms)

5x - 1

Therefore, (f+g)(x) = 5x - 1

Hope this helps!

Answer:

5x -1

Step-by-step explanation:

(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5

5x - 1

Original price be x

Discount price be y

The equation is

So

Answer:

3(f - 5) = 60

$25

Step-by-step explanation:

Let f = full price of rash-guard

Given:

Therefore, the equation you can use to find how much money each rash-guard costs at full price is:

3(f - 5) = 60

To calculate the full price of the rash-guard, solve the equation for f:

⇒ 3(f - 5) = 60

Expand:

⇒ 3f - 15 = 60

Add 15 to both sides:

⇒ 3f = 75

Divide both sides by 3:

⇒ f = 25

Therefore, the full price of each rash-guard is $25.

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

If you want to learn more about triangles, you can read:

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Answer:

x=13

Step-by-step explanation:

2x-4 = 4x - 30

-4 = 2x - 30

26 = 2x

x = 13

Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

The number of students whose favorite color was blue is 184.

WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.

We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.

Consider x be the number of students who chose blue as their favorite color.

Therefore, the number of students who chose red is;

77% of 800

= 77/100 × 800

= 616

To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.

Therefore:

x = Total number of students surveyed - Number of students who chose red

x = 800 - 616

x = 184

Learn more about percent here:

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The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

Know more about trigonometry here:

brainly.com/question/26719838

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Reason:

[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say

[tex]2^6 = (2*2*2)*(2*2*2)[/tex]

The parenthesis are optional, but I find they're handy to count the '2's easier.

----------------

Now notice that

[tex]2^3 = 2*2*2[/tex]

So,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]

The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.

This shows that choice C is equivalent to A and B.

-------------------

Lastly,

[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]

The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.

This shows choice D is equivalent to the others.

All four expressions are the same.

They represent different ways to say the same number. That number being 64.

Step-by-step explanation:

The answer should be 578mi²

Answer:

47

Step-by-step explanation:

3 x 4 = 12

7 x 5 = 35

35 + 12 = 47

Answer:

There are three yellow marbles.

Step-by-step explanation:

The way i figure it is since they are both even numbers divide them both by two and you have your answer.

Let's check our given function.

Compare to y=mx+b(Slope intercept)

So beginning set up is fixed i.e 35 .

per shirt cost the rate of change which is slope

option D is correct

The x-intercept of the function h(x) is when the function h(x) = 0

The x-intercept of the function is -2

From the question, the function is given as:

[tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex]

Set the function h(x) to 0, to calculate the x-intercept

[tex]8 * \sqrt[3]{x - 6} + 16= 0[/tex]

Subtract 16 from both sides of the equation

[tex]8 * \sqrt[3]{x - 6} +=-16[/tex]

Divide through by 8

[tex]\sqrt[3]{x - 6} =-2[/tex]

Take the cube of both sides

[tex]x - 6 =-8[/tex]

Add 6 to both sides

[tex]x =-2[/tex]

Hence, the x-intercept of the function is -2

Read more about x-intercept at:

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Answer:

-2

Step-by-step explanation:

The person above me explained it perfectly! Also, I got this answer correct on my test.

Answer: 100 °

Step-by-step explanation:

Answer:

subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51

I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

Answer:

hannah 54

raoul 9

Step-by-step explanation:

hannah _ 6x

raoul _ x

6x+x=63

7x=63

x=9

hannah _ 6×9=54

raoul _ 9

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

Answer:

the anwer is A cause jobs and industials had 96 percent and corperate profits after taxes doubled

Answer:

a

Step-by-step explanation:

world War 2 did in fact cause the United States to become the richest and most powerful