How can factors help you find a common denominator

Answer:

dang im late but its 10=x

Step-by-step explanation:

The number of weeks it would take before the amount in each savings account is the same is 10 weeks.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Let the variable x represent the number of weeks.

Based on the information provided above, a linear equation that models the situation can be written in slope-intercept form as follows;

250 + 15x = 200 + 20x

20x - 15x = 250 - 200

5x = 50

x = 50/5

x = 10 weeks.

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Final answer:

The probability that no employee in the sample work at the plant in Hawaii is 0.0279, the probability that one of the employees in the sample works at the plant in Hawaii is 0.2656, the probability that two or more of the employees in the sample work at the plant in Hawaii is 0.7065, and probability that nine of the employees in the sample work at the plant in Texas is 0.06.

Explanation:

To find the probability that none of the employees in the sample work at the plant in Hawaii, we need to find the probability of selecting 0 employees from the Hawaii plant out of a total sample size of 10 employees. Since there are 20 employees at the Hawaii plant and 60 employees in total, the probability is:

P(selecting 0 employees from Hawaii) = (20C0 * 40C10) / (60C10) = 0.0279

To find the probability that one of the employees in the sample works at the plant in Hawaii, we need to find the probability of selecting 1 employee from the Hawaii plant out of a total sample size of 10 employees. The probability is:

P(selecting 1 employee from Hawaii) = (20C1 * 40C9) / (60C10) = 0.2656

To find the probability that two or more of the employees in the sample work at the plant in Hawaii, we need to find the probability of selecting 2 or more employees from the Hawaii plant out of a total sample size of 10 employees. The probability is:

P(selecting 2 or more employees from Hawaii) = 1 - P(selecting 0 employees from Hawaii) - P(selecting 1 employee from Hawaii) = 1 - 0.0279 - 0.2656 = 0.7065

To find the probability that nine of the employees in the sample work at the plant in Texas, we need to find the probability of selecting 9 employees from the Texas plant out of a total sample size of 10 employees. The probability is:

P(selecting 9 employees from Texas) = (40C9 * 20C1) / (60C10) = 0.06

Answer:

his cost depends on how many staplers he gets and the input is how much each stapler cost and output is how much he has to spend

Step-by-step explanation:

Answer:

A. Number of staplers.

B. Input is number of staplers and output is total cost.

Step-by-step explanation:

Part A : Let he bought x staplers,

∵ The cost of each stapler = $ 16.99

So, the cost of x staplers in dollars ( say y ) = price of each staplers × number of staplers

⇒ y = 16.99x  

Which is the required equation that shows the given scenario,

∵ y ∝ x,

I.e. his final cost would depend upon the number of staplers.

Part B :

∵ in the equation y = 16.99x

x = input value, y = output value,

Thus, in this scenery, input is the number of staplers and output is total cost.

Answer:

75 = 32 + 6 + x

Answer:

I believe it would be the first option on edge

Step-by-step explanation:

X + 6 + 32 = 75

Answer:

  129°

Step-by-step explanation:

If CE is between CD and CF, then angle DCF is the sum of the given angles:

  75° +54° = 129°

Answer:

129

Step-by-step explanation:

bc it just is right

Answer:

[tex]f(x)=6x+9[/tex]

Step-by-step explanation:

Functions have independet variables(the value of the variable could be any number, we have no restrictions) and dependent variaariables(the values of this variables depends of idependent variables)

the problem says that x is the independent variable, so we say that y is a dependent variable. Dependent need to be replaced by funcion notation, in this case we use y=f(x)

So we raplace it in the equation and we have:

[tex]f(x)-6x-9=0[/tex]

we solve for f(x) passing -6x and -9 to the right side and changing the signs, and we get:

[tex]f(x)=6x+9[/tex]

Answer:

f(x) = 6x + 9

Step-by-step explanation:

The question is not complete because the are no option to pick from. This is the complete question.

Consider the function represented by the equation y minus 6 x minus 9 = 0. Which answer shows the equation written in function notation with x as the independent variable?

f of x = 6 x + 9

f of x = one-sixth x + three-halves

f of y = 6 y + 9

f of y = one-sixth y + three-halves

writing this in as a function

[tex]f(x)-6x-9=0[/tex]

the question is asking us to write the function in such a way that x is the independent variable

[tex]f(x)=6x-9[/tex]

here x is the dependent variable

to make x independent, we need to solve for x

[tex]-9=6x\\[/tex]

divide both sides by 6 to make x independent

[tex]\frac{-9}{6} =x\\\\\\\x=\frac{-3}{2}[/tex]

Amelia drive 8 kilometers per liter.

13.875 liters needs to drive 111 kilometers.

Amelia used 6 liters for gasoline to drive 48 kilometers.

Here we have to find how many km she drive per liter.

Amelia used 6 liters to drive 48 kilometers

Amelia used 1 liter to drive 48/6 kilometers = 8 kilometers

Therefore, Amelia drive 8 kilometers per liter.

Now, to travel 8 kilometers, she needs 1 liter gasoline

To travel 1 kilometer, she needs 1/8 liter gasoline

To travel 111 kilometers, she needs 111/8 liters gasoline = 13.875 liters

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Answer:

not 55

Step-by-step explanation:

Answer:

220

Step-by-step explanation:

Answer:

  (x, y) → (x, y – 14)

Step-by-step explanation:

There is only one answer choice that translates downward, adding a negative number to the y-value:

  (x, y) → (x, y – 14)

A plane traveling at a speed of 4000 miles per hour would take approximately 6.25 hours to travel around a planet with a circumference of 25,000 miles.

To solve this question, we will use the concept of time, speed, and distance. We know that the plane travels at a speed of 4000 miles per hour and the Earth's circumference is 25000 miles. Thus to compute the time it would take for the plane to travel around the planet, we can use the relation 'Time = Distance / Speed'.

The distance in this case is the circumference of the Earth, which is 25000 miles and the speed is the plane's speed, which is 4000 miles/hour. So, we simply divide 25000 miles by 4000 miles/hour:

Time = 25000 / 4000 = 6.25 hours

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The probability of choosing a Disney character that is not a mouse is 0.9 or 90%.

there are a total of 100 Disney characters, including Mickey Mouse, Minnie Mouse, and other mouse characters, summing up to 10 mice characters.

Therefore, the number of non-mouse characters is 100 - 10 = 90.

Total number of characters (N): 100

Number of mouse characters (M): 10

Number of non-mouse characters: N - M = 100 - 10 = 90

Probability of choosing a non-mouse character: (N - M) / N = 90 / 100 = 0.9

Thus, the probability that the randomly chosen Disney character is not a mouse is 0.9 or 90%.

The complete question is "Given that a Disney character is chosen at random, what is the probability that the character is not a mouse? If there are 100 Disney charater out of which 10 are mice chracter "

Yochanan walked 5 km to the bus stop at 5 km/h and then took the bus for the remaining 30 km at 60 km/h, totaling 1.5 hours for his trip to school.

The question involves calculating distances and times related to Yochanan's trip from home to school, requiring the application of speed, distance, and time relationships. Let's denote the distance from Yochanan's home to the bus stop as x kilometers and the remaining distance to school (35 - x) kilometers. Given the average speeds and the total trip time, we can set up equations to solve for x.

The time taken to walk to the bus stop is x / 5 hours, and the time taken to travel from the bus stop to school by bus is (35 - x) / 60 hours. The total trip time is 1.5 hours.

Therefore, the equation is:

x / 5 + (35 - x) / 60 = 1.5

Solving this equation:

So, Yochanan walked 5 km to the bus stop. Using the distance to calculate times, he spent 1 hour on the bus and 0.5 hours walking.

Answer:

(a) He must travel 5.25 km

(b) 17.7° south of west

Step-by-step explanation:

(Please see attached file)

1. He was supposed to travel 5.3 km due north to return to base camp

(vector S)

S = (Sx, Sy)

Sx= 0

Sy= 5.3

2. He discovers that he actually traveled 8.5 km at 54° north of due east (vector D)

D= (Dx, Dy)

Dx= Dcos Ф = 8.5cos54° = 5.0

Dy= Dsen Ф = 8.5sen54° = 6.9

3. He now needs to reach the base camp. Then, we need to find vector R.

From vectors addition/subtraction:

S = D + R

R = S - D

R= (Rx, Ry)

Rx = Dx - Sx = 0 - 5.0 = -5.0

Ry = Dy - Sy = 5.3 - 6.9 = -1.6

Magnitude of R = [tex]\sqrt{Rx^{2}+Ry^{2} }[/tex]

Magnitude of R = [tex]\sqrt{(-5.0)^{2}+(-1.6)^{2} }[/tex]

Magnitude of R = 5.25 km

Direction:

tanβ = [tex]\frac{Ry}{Rx}[/tex]

tanβ = [tex]\frac{1.6}{5.0}[/tex]

tanβ = 0.32

β = tan-1 (0.32)

β= 17.7° south of west

Answer:

The greatest distance we can be from the base camp at the end of the third displacement is 6.69 km

Step-by-step explanation:

We can think of each displacement as a vector, with a given magnitude and direction.

A vector can be written using its x and y coordinates like this

[tex]\vec{t}=(x, y)[/tex]

So, for the displacements a and c their vector coordinates would be:

[tex]\vec{a}=(2, 0)[/tex]

[tex]\vec{c}=(-1, 0)[/tex]

As the b displacement has an angle of 30° toward the north from due east, we can find its x and y coordinates using the following formulas:

[tex]x=(magnitude)*cos(angle)[/tex]

[tex]y=(magnitude)*sin(angle)[/tex]

Note: the angle in the formula is the one formed with the east measured counterclockwise.

So, the x and y coordinates for the b displacement will be:

[tex]\vec{b}=(2*cos(30), 2*sin(30))[/tex]

As the vector additon is commutative, the order won't affect the final position. Nevertheless, any change in the direction of any displacement will change the final position. So, in order to find the combination greatest distance we should calculate the following additions and find the one with the greatest magnitude:

[tex]\vec{R_{1}} =\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]\vec{R_{2}} =\vec{a}-\vec{b}+\vec{c}[/tex]

[tex]\vec{R_{3}} =\vec{a}+\vec{b}-\vec{c}[/tex]

[tex]\vec{R_{4}} =\vec{a}-\vec{b}-\vec{c}[/tex]

Each resultant vector can be found adding each component. Afterwards, the magnitude can be found using the following formula:

[tex]|\vec{R}|=\sqrt[ ]{(R_{x})^2 +{(R_{y})^2}}[/tex]

Now, let's calculate!

[tex]\vec{R_{1}} =\vec{a}+\vec{b}+\vec{c}[/tex]

[tex]R_{1_x}} =2+2*cos(30)-1=2.73[/tex]

[tex]R_{1_y}} =0+2*sin(30)+0=1[/tex]

[tex]\vec{R_{1}}=(2.73,1)[/tex]

[tex]|\vec{R_{1}}|=\sqrt[ ]{(2.73)^2 +{(1)^2}}=3.86[/tex]

[tex]\vec{R_{2}} =\vec{a}-\vec{b}+\vec{c}[/tex]

[tex]R_{2_x}} =2-2*cos(30)-1=0.73[/tex]

[tex]R_{2_y}} =0-2*sin(30)+0=-1[/tex]

[tex]\vec{R_{2}}=(-0.73,-1)[/tex]}

[tex]|\vec{R_{2}}|=\sqrt[ ]{(-0.73)^2 +{(-1)^2}}=1.03[/tex]

[tex]\vec{R_{3}} =\vec{a}+\vec{b}-\vec{c}[/tex]

[tex]R_{3_x}} =2+2*cos(30)+1=4.73[/tex]

[tex]R_{3_y}} =0+2*sin(30)-0=1[/tex]

[tex]\vec{R_{3}}=(4.73,1)[/tex]

[tex]|\vec{R_{3}}|=\sqrt[ ]{(4.73)^2 +{(1)^2}}=6.69[/tex]

[tex]\vec{R_{4}} =\vec{a}-\vec{b}-\vec{c}[/tex]

[tex]R_{4_x}} =2-2*cos(30)+1=1.26[/tex]

[tex]R_{4_y}} =0-2*sin(30)-0=1[/tex]

[tex]\vec{R_{4}}=(1.26,-1)[/tex]

[tex]|\vec{R_{4}}|=\sqrt[ ]{(1.26)^2 +{(-1)^2}}=1.79[/tex]

So, after all the calculation, we can know for sure that the vector [tex]\vec{R_{3}}[/tex] has the biggest magnitude. Then, the greatest distance we can be from the base camp at the end of the third displacement is 6.69 km

Final answer:

To maximize your distance from base camp, move 2.0 km east, then 2.0 km 30° north of east, and finally 1.0 km west. The total distance achievable is around 3.732 km. The order of displacements does not affect the maximum distance reached.

Explanation:

The greatest distance you can be from base camp at the end of the third displacement is achieved when you move 2.0 km due east, then 2.0 km 30° north of east, and finally 1.0 km due west in any order.

This results in a total distance of approximately 3.732 km from base camp.

Regardless of the order in which you take the displacements, the resultant greatest distance achieved remains the same.

Answer: just subtract 7 7/8 - 4 1/4 :)

Step-by-step explanation:

The distance that we can say that the marbel has fallen through is 3 5/8 feet

To subtract fractions, the denominators (the bottom numbers) of the fractions you're subtracting must be the same. If they're not already the same, you'll need to find a common denominator. If the fractions have different denominators, convert both fractions to an equivalent fraction

We have that;

Distance dropped = 7 7/8

Distance where the fall stopped = 4 1/4

Distance of the fall = 7 7/8 -   4 1/4

3  7 - 2/8

= 3 5/8 feet

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

dapends on what x is but i think the answer is A or D

Answer:

  an apparent solution that does not satisfy the original equation

Step-by-step explanation:

Usually, an extraneous solution is introduced by the solution process. Sometimes it takes the form of multiplying an equation by 0, often the result of eliminating the denominators of rational functions.

Other times, it takes the form of adding branches to a function that are unintended or undefined. (Squaring a square root will often introduce "solutions" that require the square root to be a negative value.) The attached graph shows that x=4 is an extraneous solution to ...

  √x = x-6

It shows up when the equation is squared:

  x = x² -12x +36   ⇒   (x -9)(x -4) = 0

The "solution" x=4 is extraneous because it does not satisfy the original equation.

As in this graphed example, using graphical methods to find solutions can often avoid extraneous solutions.

Answer:

 an apparent solution that does not satisfy the original equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

The magnitude of a fraction of a fraction (their product) is always smaller than the magnitudes of either fraction. So, if both decimals are positive, the result is less than either factor.

___

Negative numbers are less than 1, so there can be several cases of interest when one or both numbers are negative.

Both numbers negative

The product will be positive, so will be greater than either negative factor.

__

One number negative, the other number positive

The product will be negative, so will be less than the positive factor and greater than the negative factor. (Multiplying a negative number by a positive fraction moves it closer to zero on the number line, hence to a value that is greater than the negative factor.)

Answer:

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

  y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

  12x -8y = -24 . . . . . given

  -8y = -12x -24 . . . . .subtract 12x

  y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

  slope = 3/2

  y-intercept = 3

__

The x-intercept is found fairly easily from the original equation by setting y=0:

  12x = -24

  x = -24/12 = -2 . . . . . the x-intercept

_____

A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.

Answer:

Museum is at 7 blocks south and 5 blocks east to the Hotel

Step-by-step explanation:

                    | - - H

                    |

                    |_ _ _ _ _ _ _  

                                          |

                                          |

                                          |

                                          |

                                    Museum

Therefore, Museum is at 7 blocks south and 5 blocks east to the Hotel.

Answer:

There are 1752574320 outcomes

Step-by-step explanation:

The option are:

1      11      21      31      41      51      61      71      81      91

2     12     .         .         .         .        .         .        .         .    

3     13     .         .         .         .        .         .        .         .

4     14     .         .         .         .        .         .        .         .

5     15     .         .         .         .        .         .        .         .

6     16     .         .         .         .        .         .        .         .

7     17     .         .          .         .        .         .        .         .

8     18     .         .          .         .        .        .         .         .

9     19     .         .          .         .        .        .         .         .

10    20    .         .          .         .        .        .         .         .

So we have to select 5 numbers, with  the property that the last digits of all five numbers are different

__ __ __ __ __

1. Have 90 options

⇒ 90

2. Have 90 - 9 options (e.g. if 2 was the first chosen number, then you can't select more 2, 12, 22, 32, 42, 52, 62, 72 or 82 )

⇒ 90 - 9 = 81

3. Have 90 - 9 that can't no be chosen more because share the same last number as the first number - 9 that can't no be chosen more because share the same last number as the second number

⇒ 90 - 9 - 9 = 72

4. Have 90 - 9 that can't no be chosen more because share the same last number as the first number - 9 that can't no be chosen more because share the same last number as the second number - 9 that can't no be chosen more because share the same last number as the third number

⇒ 90 - 9 - 9 - 9 = 63

5. Have 90 - 9 that can't no be chosen more because share the same last number as the first number - 9 that can't no be chosen more because share the same last number as the second number - 9 that can't no be chosen more because share the same last number as the third number - 9 that can't no be chosen more because share the same last number as the fourth number

⇒ 90 - 9 - 9 - 9 - 9 = 54

So now the number of possible combination with the given restriction is equal to the multiplication of the amount of option for the selection of each number (90 for the selection of the first, 81 for the selection of the second, 72 for the selection of the third number, 63 for the selection of the fourth and 54 for the selection of the fifth)

C= 90*81*72*63*54 = 1752574320

There are 1752574320 outcomes

Final answer:

There are 30,240 outcomes with the property that the last digits of all five numbers are different.

Explanation:

To calculate the number of outcomes with the property that the last digits of all five numbers are different, we need to consider each digit separately. For the first number, we have 10 choices (0-9), for the second number, we have 9 choices (since the last digit of the first number is taken), for the third number, we have 8 choices, and so on.

Therefore, the total number of outcomes is:

10 x 9 x 8 x 7 x 6 = 30,240.

The standard quantity of metal per​ ring is 0.57 kilograms.

Step-by-step explanation:

Each ring requires 0.52 kilograms of a special metal.

The allowance for waste is 0.03 kilograms per​ ring, while the allowance for rejects is 0.02 kilograms per ring.

So, the standard quantity of metal per​ ring = 0.52 kg of metal required + 0.03 kg of allowance for waste + 0.02 kg of allowance for rejects)

= [tex]0.52+0.03+0.02=0.57[/tex] kilograms.

Hence,  the standard quantity of metal per​ ring is 0.57 kilograms.

Answer:

Step-by-step explanation:

Answer:   b)  [tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Sample space for the arrangement of red bushes :

[rrww , rwwr , wwrr , wrwr, rwrw , wrrw]

i.e. Total possible outcomes = 6

If the two rosebushes middle of the row are red , then the first and the last rosebushes must be white (wrrw).

i.e. the number of favorable outcomes for middle of the row are red =1

Now, the probability that the 2 rosebushes in the middle of the row will be the red rosebushes :

[tex]\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\\\\=\dfrac{1}{6}[/tex]

Hence, the correct answer is option (b).

Answer:

The question has a typo in it...so if you mean least: 2 groups......greatest: 12

Step-by-step explanation:

Least:

24, 60, and 36 are all even numbers, so they can divide by 2 so each group would have 12 Sopranos, 30 Altos, and 18 tenors.

Greatest:

24, 60, and 36 can all be divided by 12. So, each group would have 2 Sopranos, 5 altos, amd 4 tenors.

The greatest number of the group that can be formed is 12.

Based on the information given in the question, in order to solve the question, we'll have to find the factors of the numbers given and this will be:

24 = 1, 2, 3, 4, 6, 8, 12, and 24.

36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36

60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Therefore, from the numbers given above, we can see that the greatest number that's common to all is 12.

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Answer:

x = 22

Step-by-step explanation:

Adding all the degrees to a triangle must equal 180

120 + (x+16) + x = 180

2x + 136 = 180

     -136.   -136

2x = 44

[tex]\frac{2x}{2}  = \frac{44}{2}[/tex]

x = 22

Final answer:

To find the value of x in the triangle with given angles, apply the rule that the sum of a triangle's interior angles is 180 degrees.

Explanation:

The value of x can be found by using the fact that the sum of the interior angles of a triangle is 180 degrees.

Angles of the triangle are given as 120 degrees, (x + 16) degrees, and x degrees.

Setting up the equation: 120 + (x + 16) + x = 180 and solving for x gives x = 22 degrees.

Answer:

The answer is true.

Step-by-step explanation:

An ad valorem tax is based on the assessed value of a property. These include property taxes on real estate, sales tax on consumer goods etc,

When you are earning rent from a property, then you have to pay some tax for it, that will surely affect the amount of ad valorem property taxes levied on the properties.

Therefore, the answer is true.

Good morning ☕️

______

Answer:

reflect over the line y = –3

____________________

Step-by-step explanation:

Look at the photo below for more details.

:)

Answer: the answer is y=-3

Step-by-step explanation: I just answer this question and my quiz

And also -3 is what divided the trapezoid

Answer:

8 1/3

Step-by-step explanation:

The question is asking how many TOTAL (meaning it is increased so it could either be multiplication or addition) miles Loney walked in FIVE days. She walk 1 2/3 A DAY. This can be solved in two ways: multiplication AND addition. Addition: you just have tot turn the mixed fraction into improper fraction and then add the answer five times. But...wouldn’t multiplication be faster and easier..? Sure.

Step 1: Turn mixed fraction into improper.

1 2/3 as an improper fraction is 5/3. How? well multiply and denominator and the whole number and then add the numerator!

Step 2. Make an equation.

The equation should look like 5/3 x 5/1 (1 under 5 because remember there is ALWAYS an imaginary 1 under whole number while multiplying with fractions!)

Step 3. Multiply across

5x5=25

3x1=3 so it’s 25/3. There isn’t any LCM between 25 and 3 so we can only turn it into mixed number (you DEFINITELY can’t leave it like that! You MUST reduce to lowest terms for the correct answer!)

Step 4. Turn back into a mixed number.

there are several ways to do this.

1. Divided 25 by 3 and put the quotient as a whole number, remainder as a numerator and keep the same denominator.

OR

2. More faster way (if you know multiplication tables!)

How many times does 3 (denominato) goes into 25(numerator)? Well, read out the multiplication tables of 3!

3 times 8 equals 24! 3x9 will make it 27 so it doesn’t match with our numerator. So the answer is times 8! It becomes our whole number and it’s still 24 and our numerator is 25 so we have 1. Therefore, 1 is our numerator and we keep the same denominator :)

Hence, the answer is 8 1/3! Hope it helped! :D

The number of miles that Laney walked in total will be 25/3 miles.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Laney walks one and two-thirds of a mile to school from her house and rides the bus home. If she walked five days last week.

Then the number of miles that Laney walked in total will be given by the product of the 1  2/3 and 5.

Number of miles = (1  2/3) x 5

Number of miles = (5/3) x 5

Number of miles = 25 / 3 miles

The number of miles that Laney walked in total will be 25/3 miles.

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