Which conversion requires multiplication? A decimeter - meter B meter - kilometer C kilometer - meter D millimeter - centimeter

Answer:-3

Step-by-step explanation:

promise its B

The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = (x + 5) / (x - 2)

Now,

Since, We know that;

In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

So, We get;

The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;

Make the denominator zero and solve for x as;

x - 2 = 0

x = 2

Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.

Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

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Answer:

X=131

Step-by-step explanation:

9+40+? = 180

All triangles =180

40+9=49

180-49=131

answer is x=131

Answer:

41

Step-by-step explanation:

This is a pythagorean theorem question, which is represented by the formula [tex]a^{2} + b^{2} = c^{2}[/tex]

c always represents the hypotenuse, which is the longest side of the triangle

your two given numbers are represented by a and b

plug in the two numbers into the formula and solve. the formula should look like this: [tex]9^{2} + 40^{2} =c^{2}[/tex]

it should then be: 81+1600=[tex]c^{2}[/tex]

Add the two numbers and take the square root

Answer:

In order to give the same value for money as Tim's idea, Jane has to reduce the price by 25%

Step-by-step explanation:

The given  parameters are;

Cost of each box of breakfast cereal = 3 pounds

Amount of cereal in each box of breakfast cereal = 160 g

160 g of cereal = 100%

25% of one box of cereal = 25% of 160 g = (25/100)×160 g= 40 g

Given that Jane wants her idea to give the same value of money as Tim's idea, we have;

160 g of cereal costs 3 pounds

1 g of cereal will cost 3/160 pounds

40 g of cereal will cost 40*3/160 = 3/4 pounds

Therefore, the percentage 3/4 pound is of 3 pounds = [tex]\dfrac{\frac{3}{4} }{3} \times 100 = 25 \%[/tex]

Which gives, Jane has to reduce the price by 25% to give the same value for money as Tim's idea.

To give the same value of money as Tim's idea, she need to reduce the price by 20%.

Given that:

Cost of one box of breakfast cereal is 3 pounds.

Weight of 1 box of cereal is 160g.

Tim's idea is to put 25% more cereal.

Let Jane's idea is to reduce price by x pounds such that the value of the item is same as that after applying Tim's idea.

Value in case of Tim's idea:

[tex]160g + \dfrac{160 \times 25}{100} \: \: in \: \: 3 \: pounds\\\\200g \: \: in \: \: 3 pounds\\1g \: \: in \: \: \dfrac{3}{200} \: pounds[/tex]

Value in case of Jane's idea:

[tex]160g \: \: in \: \: (3-x) \: pounds\\\\1g \: \: in \: \: \dfrac{(3-x)}{160} \: pounds\\[/tex]

Since values have to stay same, thus we have:

[tex]\dfrac{3}{200} = \dfrac{3-x}{160}\\\\\dfrac{12}{5} = 3-x\\\\5x = 3\\\\x = \dfrac{3}{5}\\\\x = 0.6 \:pounds[/tex]

To calculate percentage, we can do as follows:

[tex]\begin{aligned}percentage &= \dfrac{x \times 100}{3}\\&= \dfrac{60}{3}\\&= 20\end{aligned}[/tex]

Thus,  to give the same value of money as Tim's idea, she need to reduce the price by 20%.

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Answer:

(6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

Answer: y = one sixteenth(x − 4)^2 + 2

Step-by-step explanation:

If the parabola is written as:

y = a*x^2 + b*x + c

then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

y =  1/6*(x + 4)^2 - 2  =  1/6x^2 + (8/6)*x + (16/6 - 2)

the vertex (4, 2)

then

x = -b/2a = 4.

this means that a and b must be of different sign, then the only correct option can be:

y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)

where:

x-vertex  = (8/6)/(2/6) = 4 as we wanted.

when we evaluate this function in x = 4 we get

y = 1/6*( 4 - 4)^2 + 2 = 2.

So the correct option must be: y = one sixteenth(x − 4)2 + 2

Answer: The correct answer is the first answer, a.  y = one sixteenth(x − 4)2 + 2

Answer : The correct option is, (B) 56.8

Step-by-step explanation :

Right Triangle Altitude Theorem:

The measure of altitude drawn from the vertex of the right angle of a right angled triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

We are drawing a line from vertex to hypotenuse side.

As per theorem:

[tex]\frac{BD}{AB}=\frac{CB}{AC}[/tex]

[tex]\frac{BD}{60}=\frac{175}{185}[/tex]

[tex]BD=\frac{175\times 60}{185}[/tex]

[tex]BD=56.8[/tex]

Therefore, the length of the altitude to the hypotenuse is 56.8

Answer:

1. 5cm

2. 10 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

You got the answer right.

The first question BC is 5 cm.

In the second question, we gotta find the hypotenuse.

In a 45 45 90 triangle, the hypotenuse will have a length of  [tex]x\sqrt{2}[/tex], therefore, the side AC is equal to [tex]10\sqrt{2}[/tex].

Answer:

not enough information given, but the answer

depends:

if the list doesn't contain repetition, each number can only appear 1 per 7 times, and the max number that can be generated in such list is only 7 since repetition is not allowed

if the list does allow repetition, however, it would be infinite (if there is no limit set) which means 100% or more chance for each number to appear in the list.

The chance that each number will occur is 1.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, We have a randomly generated list of numbers from 0 to 6.

Therefore, The probability of occurring each number is 1/7.

Now, The chance of occurring each number is,

= 1/7 +  1/7 +  1/7 +  1/7 +  1/7 +  1/7 +  1/7.

= 7/7.

= 1.

For any trial we'll see a number form 0 to 6.

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

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Answer:

This should be the answer 105.12 ft²

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Answer:

1/3 and 1/2

Step-by-step explanation:

This is approximately equal to 0.167

====================================================

Explanation:

A = event of getting either a 1 or 2

P(A) = probability event A occurs

P(A) = 2/6 = 1/3, since there are two ways to get "1 or 2" out of six total

B = landing on heads

P(B) = 1/2, there are two sides and only one is heads

P(A and B) = probability getting a 1 or 2 and flipping heads on a coin

P(A and B) = P(A)*P(B) .... only possible if A and B are independent

P(A and B) = (1/3)*(1/2)

P(A and B) = (1*1)/(3*2)

P(A and B) = 1/6

Answer:

5.97

Step-by-step explanation:

If the radius of the circle = r then

pi r^2 = 56

r^2 = 56/pi

r = sqrt(56/pi)

The radius of the circle is equal to half of a diagonal of the square. That is,

r = (1/2) sqrt (2x^2)

= x (sqrt 2)/2

= x/(sqrt 2)

So x = r sqrt 2

= sqrt (56/pi) sqrt 2

= 4 sqrt (7/pi)

= 5.9708

Answer:

121/9

Step-by-step explanation:

= [tex](-3\frac{2}{3} )^2[/tex]

= [tex](-\frac{11}{3} )^2[/tex]

= [tex]\frac{121}{9}[/tex]

Answer:

13.4

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

B. The domain is the set of all integers 1≤b≤9

Step-by-step explanation:

Answer:

The correct answer is B) The domain is the set of all integers 1≤b≤9.

Step-by-step explanation:

B represents the number of boxes of muffins ordered and C represents the cost per muffin. Answer B correctly describes the domain of the function

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

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[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

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[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

[tex]s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20[/tex]

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

[tex]s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} [/tex]

since the cost price of bag doesn't change and equating 1 and 2 we get

[tex]20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600[/tex]

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The answer is E) 22

This is the answer because the triangles are similar, so a proportion can be made. So it would be 28/42=x/33. Then you solve for x, which equals 22.

Answer:

B

Step-by-step explanation:

Answer:

500,000 + 7,000 + 20 + 1

Explanation:

When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.

Here are some examples of a number and its expanded form:

· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3

· 3,905 = 3,000 + 9,000 + 5

· 42,069 = 40,000 + 2,000 + 60 + 9

* note:

if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.

Now that we understand what expanded form is, let's write 507,021 in expanded form.

Start by writing a list for the values of each individual digit:

· 500,000

· 7,000

· 20

· 1

Next, write the numbers so that they show they must be added.

500,000 + 7,000 + 20 + 1

Therefore, the expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.

Answer:

A and B has the same constant of proportionality

Step-by-step explanation:

[tex]y \propto x[/tex]

[tex]y = kx ----1[/tex]

Where k is the constant of proportionality

We are supposed to find Which relationships have the same constant of proportionality between y and x as in the equation [tex]y=\frac{1}{2}x[/tex]

On comparing with 1

[tex]k = \frac{1}{2}[/tex]

A)6y = 3x

[tex]y = \frac{3}{6}x\\y = \frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

B)[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(4,2)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2-1}{4-2}(x-2)\\y-1=\frac{1}{2}(x-2)\\y-1=\frac{1}{2}x-1\\y=\frac{1}{2}x[/tex]

So, this equation has the  same constant of proportionality

C)

[tex](x_1,y_1)=(1,2)\\(x_2,y_2)=(2,4)[/tex]

To find the equation :

Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 2=\frac{4-2}{2-1}(x-1)\\y - 2=2(x-1)\\y - 2=2x-2\\y=2x[/tex]

So, this equation do not has the same constant of proportionality

D)

[tex](x_1,y_1)=(2,1)\\(x_2,y_2)=(3,2.5)[/tex]

To find the equation :

Formula :[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

So, [tex]y - 1=\frac{2.5-1}{3-2}(x-2)[/tex]

[tex]y-1=1.5(x-2)\\y-1=1.5x-3\\y=1.5x-2[/tex]

So, this equation do not has the same constant of proportionality

Hence A and B has the same constant of proportionality

Options A and B has the same constant of proportionality.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For option A,

6y=3x

y=3/6x

y=1/2x

This equation has the same constant of proportionality

For Option B

(2,1) and (4,2)

m=2-1/4-2=1/2

We have equation as y-y₁=m(x-x₁)

y-1=1/2(x-2)

y-1=1/2x-1

y=1/2x

this equation has the  same constant of proportionality

For option C

(1,2) and (2,4)

m=4-2/2-1=2

We have equation as y-y₁=m(x-x₁)

y-2=2(x-1)

y-2=2x-2

y=2x

Equation do not has the same constant of proportionality

and option D does not have same constant of proportionality

Hence options A and B has the same constant of proportionality.

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Answer:

Part A

The solution to the pair of equations represented by p(x) and f(x) is (-3,-2)

Part B

1 solution:(-3,-2)  

2 solution:(-7,3)

Part C

The solution to the equation p(x)=g(x) is (4,1) because they intersect at that point

Step-by-step explanation:

Answer:

the person above

Step-by-step explanation:

took the test its right

Answer: The answer is the second one/b.

Answer:

D. 22/1=x/3

Step-by-step explanation:

Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.

Answer:

16

Step-by-step explanation:

Step 1: Figure out how many juniors and seniors there are

50(0.6) = 30 seniors

50 - 30 = 20 juniors

Step 2: Find out how many juniors + seniors stay in the program

30(0.8) = 24 seniors in the after-school program

20(0.4) = 8 juniors in the after-school program

Step 3: Find the difference

24 - 8 = 16

And we have your final answer!

Answer:

The value of x is: [tex]5 (\sqrt5-1)\ units[/tex]

Step-by-step explanation:

Given that:

Area of rectangle = 100 sq units

Length = (x+10) units

Width = x units

We know that area of a rectangle is given by the formula:

[tex]A = l \times w[/tex]

Where l is length of rectangle and

w is the width of rectangle

Putting the values in formula:

[tex]x(x+10) = 100\\\Rightarrow x^2+10x=100\\\text{Trying to make square on both sides by Adding 25 on both sides}:\\\Rightarrow x^2+10x+25=100+25\\\Rightarrow x^2+2 \times 5 \times x+5^2=125\\\text{Formula: } a^{2} +2 \times a \times b+ b^{2} = (a+b)^2\\\Rightarrow (x+5)^2 = 25 \times 5\\\text{Taking square root on both sides:}\\\Rightarrow (x+5) = 5\sqrt5\\\Rightarrow x = 5\sqrt5-5\\\Rightarrow x = 5 (\sqrt5-1)[/tex]

So, The value of x is: [tex]5 (\sqrt5-1)\ units[/tex]

Answer:

B.

Step-by-step explanation:

total chips = 6

chips not including yellow= 4

simplify 4/6 = 2/3

Answer:

It's 10

Step-by-step explanation:

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

6

Step-by-step explanation:

Given

[tex]\frac{8}{-4} / \frac{-3}{9}[/tex]

Required

Solve

[tex]\frac{8}{-4} / \frac{-3}{9}[/tex]

We start by converting the division sign to multiplication

[tex]\frac{8}{-4} / \frac{-3}{9} =\frac{8}{-4} * \frac{-9}{3}[/tex]

Then, we divide -9 by 3

[tex]\frac{8}{-4} / \frac{-3}{9}=\frac{8}{-4} * -3[/tex]

Then, we divide 8 by -4

[tex]\frac{8}{-4} / \frac{-3}{9}=-2 * -3[/tex]

Multiply -2 and -3 to give final result

[tex]\frac{8}{-4} / \frac{-3}{9} = 6[/tex]

Hence, [tex]\frac{8}{-4} / \frac{-3}{9}[/tex] is equivalent to 6

Answer:

6

Step-by-step explanation: