the greatest commom divisor of (12,30) is equal to 3 ... a.(5,7) b.(3,5) c.none d.(4,10)

The value of k is 1.5.

Ratio, in math, is a term that is used to compare two or more numbers.

Let the cost of the ruler be x.

According to the given question.

Cost of pens = 30p

Cost of pencils = 18p

Also,

Ratio of cost of a pencil to the cost of a ruler = 2:5

⇒\(\frac{18p}{x} = \frac{2}{5}\)

⇒ \(x = \frac{(5)(18p)}{2}\)

⇒ \(x = 5(9p)\)

⇒ \(x = 45p\)

Ratio of the cost of pen to the cost of ruler = 1:k

⇒ \(\frac{30p}{45p} = \frac{1}{k}\)

⇒ \(\frac{2}{3}= \frac{1}{k}\)

⇒ \(k = \frac{3}{2}\)

⇒\(k = 1.5\)

Hence, the value of k is 1.5.

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Due to the fact that there are 15 skaters competing in the Olympic women's competition, including 4 Americans, the medals can be given to three of the 15 skaters in 455 different ways.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen. The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words means "Selection of things," where the order of the items is irrelevant.

Here,

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation.

15C3=15!/(15-3)!(3)!

=15!/12!3!

=15*14*13/3*2

=5*7*13

=455

The medals can be awarded to three of the 15 skaters in 455 ways as  there are 15 skaters in the Olympic women's competition, including 4 americans.

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Answer:

1/8

Step-by-step explanation:

plz brainliest

Answer:

vvvgghhi

hi

Step-by-step explanation:

ggguuuuuuuuhh

Answer:

What are the numbers?

Step-by-step explanation:

Answer:

Mark me as brainlist

Step-by-step explanation:

the equation is : y = ax+b

the slope is a : a×(2/7) = -1......( perpendicular to a line with a slope of   2/7)            because :     2x-7y =-42...y=(2/7)x+6    )      

a = -7/2         y=(-7/2)x+b

the line that passes through (6, -3) :- 3 = (-7/2)(6)+b

b =18

the equation is :  y  = (-7/2)x+18

The production manager should address the fact that the chips produced do not meet the desired specifications and take necessary actions to ensure compliance, which will impact sales and net profit.

In determining the company's ability to produce chips that meet specifications, the production manager should consider the 95% confidence interval for the mean length of the computer chips, which is (0.9 cm, 1.1 cm). This interval indicates that there is a 95% probability that the true mean length of the chips falls within this range. Since the desired specification is 1.2 cm, the production manager needs to assess whether the confidence interval includes the desired value.

In this case, the chips produced do not meet the desired specifications because the lower bound of the confidence interval is below 1.2 cm. The production manager should provide the vice-president with an explanation that acknowledges the deviation from the desired specification. However, they can also emphasize that the company has taken steps to control the production process, ensuring that most chips are within a close range of the desired specification. They can highlight that the 95% confidence interval provides a level of certainty about the population mean length of the chips.

The decision to produce chips that do not meet the desired specifications may impact the chip manufacturer's sales and net profit. The computer hardware company, being the largest customer, may consider switching to another supplier that can consistently meet the specification of 1.2 cm. This potential loss of sales can have a negative impact on the manufacturer's revenue and profitability. The production manager should emphasize the importance of addressing the issue to retain the customer, maintain sales volume, and sustain the company's financial performance.

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Answer:

the answer is 2

Step-by-step explanation: PLEASE ANSWER ALL OF THE FOLLOWING QUESTIONS CORRECTLY(WILL MARK BRAINIEST)

use the graph above to answer the following questions:

1. What is the value of g(1)?

2. What is the value of g(-12)?

3. For which of the following x-values is g(x)=-6?(fill in the blanks) blank <(greater than or equal to)x< blank

now the big question, complete the rules for g(x) so that the graph represents it.

g(x)=-10,-15<(greater than or equal to)x<-10(fill in the following blanks)

1. g(x)=blank,-10<(greater than or equal to)x<-8

2. g(x)=-6,blank<(greater than or equal to)x<-1

3. g(x)=blank,-1<(greater than or equal to)x<1

4. g(x)=4,blank<(greater than or equal to)x

g(x)=8,10<(greater than or equal to)x<15

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

Answer:

i think (4,2)

Step-by-step explanation:

So the vector  form of the equation is: y = -1(x - 2)² + 3.

To convert from standard form to vertex form, we complete the square by following these steps:

Factor out the coefficient of the x-squared term:

y = -x² + 4x - 1

= -1(x² - 4x) - 1

To complete the square inside the parentheses, add and subtract the square of half of the coefficient of the x-term (-4/2)^2 = 4:

y = -1(x² - 4x + 4 - 4) - 1

Simplify the expression inside the parentheses by factoring a perfect square:

y = -1((x - 2)² - 4) - 1

Distribute the -1 and simplify:

y = -1(x - 2)² + 3

Therefore, the vertex of the parabola is at (2, 3), and the negative coefficient of the x-squared term means that the parabola opens downwards.

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Answer:

Everything except the last one about rigid transformations. Rigid transformations change the shape in size or the shape completely.

Answer: 75%

Step-by-step explanation:

common sense

Answer:

33.33%

Step-by-step explanation:

Probability is a percentage.  To determine probability you would add all of the buttons together to equal 120 buttons.  Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).  

Answer:

Step-by-step explanation:

To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.

Hence, the probability of the button chosen is blue is 33.33%.

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

3 down, 4 up

Step-by-step explanation:

-3 is the X line, which starts on 0, if you subtract 3, or add -3, you would have to go down, 3 down. 4 is on the Y line, so you add, go left to add on the Y line, 4 up.

Always start with you X coordinate. Here is a tip to help you (X, Y)

Answer:

It's the third option.

Step-by-step explanation:

the answer is b and c

sorry if im wrong

The measurement of angle DEF in the triangle since it's a scaled copy is 46°.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. Angle Sum Property of Triangle is the name of this property.

The six different kinds of triangles are right, obtuse, acute, equilateral, scalene, and isosceles. A triangle having two congruent sides and one distinct side and angle is called an isosceles triangle.

In this case, the measurement of angle DEF in the triangle since it's a scaled copy is 46°. This can be seen based on the value given in the second triangle.

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After 04:43.33 or 04:43:20 hours elapse before the minute hand next points in the same direction as the hour hand.

Before the hour hand reaches 4 o'clock (120 degrees), the minute hand is allowed to join its position. That is, they point in the same direction. If we visually check the clock face, the time will be between 3:40 and 3:45.

Let use 3:40 for reference.

x = degrees; adding this to the current hour and minute hand angles gives:

    x = (M*6) - (H*30) + (M/2)

⇒ x = (40 * 6) - (8 * 30) + (40/2)

⇒ x = 240 - 240 + 20

⇒ x = 20 degrees

Therefore,

240 + 20 = 260 degrees

Now,

For hour hand: 260 / 30 = 8.667 = 4:00

For minute hand: 260/6 = 43.333

Time = 04:43.33 or 04:43:20

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Answer: 1/7

Step-by-step explanation: Find the GCD (Greatest Common Denominator) of the numerator and denominator. The GCD of 22 and 154 is 22. Divide both the numerator and denominator by the GCD = 22 ÷ 22; 154 ÷ 22. Reduced fraction: 1/7. Therefore, 22/154 simplified to lowest terms is 1/7.

Answer:

\(x\leq-\frac{7}{6}\)

Step-by-step explanation:

\(6x+8\geq1\\6x\geq-7\\x\leq-\frac{7}{6}\)

The answer is:

x ≥ -7/6

Work/explanation:

The symbol for greater than or equal to is ≥.

The inequality is:

6x + 8 ≥ 1

Subtract 8 on each side

6x > -7

Divide each side by 6.

x > -7/6

Hence, the answer is x > -7/6.

The age of Jeremy could be less than 22 years

From the question, we have the following parameters that can be used in our computation:

Jeremy = Rachel - 2

Let Jeremy = x and Rachel = y

So, we have

y = y - 2

Their ages added together is less than 46

So, we have

x + y < 46

This gives

x + x + 2 < 46

So, we have

2x < 44

Divide

x < 22

Hence, Jeremy could be less than 22 years

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Question

Jeremy is two years older than Rachel. The sum of the ages of Jeremy and Rachel is less than 46

How old could Jeremy be?

Answer:

t = 8 days i saw it on a website if i recall its the answer

Step-by-step explanation:

speed = distance/time

4 P = 1 House / 10 Days

P = 1 House / 40 Days

Let T = Time it takes for five painters.

5 P = 1 House / T

5(1/40) = 1 /T

1/8 = 1 /T

T = 8 Days

To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.

The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.

If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.

It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.

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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.

To find the roots of a third degree polynomial, we can follow these steps:

Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.

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Answer:

73.5 feet

Step-by-step explanation:

The length of a tree =42 feet

Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.

We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :

\(T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft\)

So, the tree will be 73.5 feet tall when it is fully grown.

The maximum torque possible to transfer by this belt system without slipping is 30.6 N.m.

As per data,

Diameter of pulley, d = 40 mm,

Initial belt tension, F0 = 170 N,

Coefficient of friction, µ = 0.9,

Mass per unit length of belt, m = 0.03 kg/m,

Linear speed of belt, v = 19 m/s

We can find the maximum torque possible (in N.m) to transfer by this belt system without slipping using the following formula,

Tmax = F₀.R.µ

Where, R = radius of pulley or R = d/2.

We are given the diameter of pulley which is 40 mm. Therefore, the radius of pulley is,

R = d/2

  = 40/2

  = 20 mm

  = 0.02 m

Now, let's substitute the given values in the formula,

Tmax = F₀.R.µ

         = 170 N × 0.02 m × 0.9

         = 30.6 N.m

Therefore, the maximum torque is 30.6 N.m.

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Answer:

Leadership comes in ALL forms

To solve this, we can use the trigonometric function tangent.

Where ol is the length of the opposite leg to angle θ and al is the anjacent leg to angle θ.

By taking the tangent of the angle whose measure equals 30°, we get:

By solving for GL and replacing 40 for LM, we get:

Then, the length of GL equals 40√3/3