Generate two equivalent fractions for each fraction. Use fraction tiles or number lines.
1
-
3

Answer:

Step-by-step explanation:

if we have 137 students, and out of this number 7 were in cars

137-7=130 students in buses

there are 5 buses

130/5=26

26 students in each bus

Answer: There are 7 marbles in the bag and in the first attempt, all 7 marbles are there. After one marble is taken away, then we have 6 marbles to choose from. Therefore we will multiply 7*6 = 42.

Hence, there are 42 possible outcomes.

The probability that the sample average exceeded 5100 is given as follows:

0%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 250, \sigma = 5000, n = 64, s = \frac{5000}{\sqrt{64}} = 625\)

The probability that a sample average exceeds $5,100 is one subtracted by the p-value of Z when X = 5100, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (5100 - 250)/625

Z = 7.76

Z = 7.76 has a p-value of 1.

1 - 1 = 0.

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Answer:

\(64^1\:\text{or}\:64\)

Step-by-step explanation:

\(\displaystyle \frac{64^4}{64^3}=64^{4-3}=64^1=64\)

Step-by-step explanation:

64^4/64^3= 64^(4-3)= 64^1= 64

Answer:

30%

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

To determine the percentage of the girls with blonde hair...it means we will have to use this formula

Number of girls with blonde hair/total numbers of girls ×100

Number of girls with blonde hair is 12

Total number of girls is 80

Therefore,12/80 ×100

1200/80

120/8

15

Therefore the percentage of the girls with blonde hair is 15%

Answer:

30

Step-by-step explanation:

10+10+20+40+70=150

150/5=30

hope this helps!

Answer:

ok so find the average first we have to add up

10+10=20

20+40=60

70+20=90

90+60=150

then we have to divide by the number so 5 since their is 5 number in the date set

150/5=30

30

Hope This Helps!!!

Answer:

372 miles

Step-by-step explanation:

You need to multiply 62 and 6

Answer:

The car will travel 434 miles in 7 hours.

Step-by-step explanation:

To get the answer you simply need to multiply 62, which is the speed of the car, by 7 hours, how long it will travel.

Therefore, the answer is 434 miles.

Answer:

i dont understand this qustion\

Step-by-step explanation:

Answer:

60

The 2 angles in the triangle add up to 120, there are 180 degrees so the last one is 60. 60 is equal to x because of co-interior angles

To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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Answer:

See below

Step-by-step explanation:

find slope between     0,1     and   10, -49

  m =  (-49-1) / (10-0) = -5

slope intercept form

  y = mx + b

  y = -5 x +1    re=arrange

5x + y = 1

Answer:

So f(x) is y

y = |x| -4

Put in some numbers for x and see which graph matches the y output.

The first graph.

Therefore, Chase ran 49/8 miles each day.

To find out how many miles Chase ran each day, we need to divide the total distance he ran (36 3/4 miles) by the number of days (6 days).

First, let's convert the mixed number into an improper fraction. 36 3/4 is equal to (4 * 36 + 3)/4 = 147/4.

Now, we can divide 147/4 by 6 to find the distance he ran each day:

(147/4) / 6 = 147/4 * 1/6 = (147 * 1) / (4 * 6) = 147/24.

Therefore, Chase ran 147/24 miles each day.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 147 and 24 is 3.

So, dividing 147 and 24 by 3, we get:

147/3 / 24/3 = 49/8.

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Chase ran a total of 36 3/4 miles over six days. To find out how many miles he ran each day, simply divide the total distance (36.75 miles) by the number of days (6). The result is approximately 6.125 miles per day.

To solve this problem, you simply need to divide the total number of miles Chase ran by the total number of days. In this case, Chase ran 36 3/4 miles over six days. To express 36 3/4 as a decimal, convert 3/4 to .75. So, 36 3/4 becomes 36.75 miles.

Now, we can divide the total distance by the total number of days:

36.75 miles ÷ 6 days = 6.125 miles per day. So, Chase ran about 6.125 miles each day.

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Answer:

15 weeks

Step-by-step explanation:

Answer:

15 Weeks

Step-by-step explanation:

Let's Begain

starts with $700

she will need $30 per week

Wants atleast $250 left in her account

700 - 250 = 450/30= 15

Answer:

I think the answer should be Mat A cause it has more space.

The maximum magnitude of acceleration is approximately 4.085 m/s².

To find the period of the motion, we need to determine the time it takes for the peg to complete one full revolution around the circle. The period can be calculated using the formula:

T = 2πr/v

where T is the period, r is the radius of the circle, and v is the tangential speed of the peg.

Given:

r = 0.19 m

v = 0.88 m/s

Substituting these values into the formula, we have:

T = 2π(0.19 m)/(0.88 m/s)

T ≈ 0.432 s

Therefore, the period of the motion is approximately 0.432 seconds.

Part E: To find the amplitude, we can use the radius of the circle since the motion is along a circular path. The amplitude is equal to the radius of the circle:

Amplitude (A) = 0.19 m

Part F: The maximum displacement is equal to the diameter of the circle since the peg moves from one extreme point to the other:

Maximum Displacement = 2 * 0.19 m = 0.38 m

Part G: The maximum magnitude of acceleration occurs at the extreme points of the circular path. It can be calculated using the formula:

amax = v²/r

where amax is the maximum acceleration, v is the tangential speed, and r is the radius of the circle.

Substituting the given values, we have:

amax = (0.88 m/s)² / 0.19 m

amax ≈ 4.085 m/s²

Therefore, the maximum magnitude of acceleration is approximately 4.085 m/s².

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Answer:

x=4+ 2root14/4

by using quadratic formula

Answer: 35 or 50

Step-by-step explanation: This one actually has 2 answers. On the first draw, you are most likely to draw a quarter. On the second draw, you have and equal probability of drawing either a dime or a quarter. That is, if you do not replace the first coin. If you do, the answer is 50 cents.

Answer:

y=8

Step-by-step explanation:

The correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).


The formula that shows how to calculate the number of tires, t, needed for c cars per day is option b) t = c/4.

To understand this formula, let's break it down step by step:

1. Each car needs four regular tires and one spare tire for the trunk. So, the total number of tires needed for one car is 4 + 1 = 5.

2. If we want to calculate the total number of tires needed for c cars, we can multiply the number of cars by the number of tires needed per car, which is 5. So, the formula becomes t = 5c.

3. However, we need to find the number of tires needed, which is represented by t. Since we have t on the left side of the equation, we can rearrange the formula by dividing both sides by 5: t/5 = c.

4. Now, we have the number of tires needed (t) expressed in terms of the number of cars (c), but we want to find the number of cars needed given the number of tires (t).


To do this, we can rearrange the formula again by dividing both sides by 4: t/4 = c/4.

Therefore, the correct formula to calculate the number of tires, t, needed for c cars per day is t = c/4, which is option b).

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let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

Answer:

1/10

Step-by-step explanation:

Puppy food portions.

Unish Baskota

Kennedi is feeding her 5 puppies. She has half a bag of dog food left. How much of the bag

will each puppy receive?

If Kennedi has half a bag of dog food left and she has 5 puppies to feed, then each puppy will receive 1/5th of the remaining dog food.

To calculate this, you can divide the remaining dog food (which is half a bag) by the number of puppies (which is 5):

1/2 bag of dog food ÷ 5 puppies = 1/10 bag of dog food per puppy

So each puppy will receive 1/10th of the bag of dog food.

Each puppy would receive 1/10 of food

The option that represents a shrink of an exponential growth function is f(x) = 1/3(1/3)x.

To understand why, let's analyze the provided options:

1. f(x) = 1/3(3x): This function represents a linear function with a slope of 1/3. It is not an exponential function, and there is no shrinking or growth involved.

2. f(x) = 3(3x): This function represents an exponential growth function with a base of 3. It is not a shrink but an expansion of the original function.

3. f(x) = 1/3(1/3)x: This function represents an exponential decay function with a base of 1/3. It is a shrink of the original exponential growth function because the base is less than 1. As x increases, the values of f(x) will decrease rapidly.

4. f(x) = 3(1/3)x: This function represents an exponential growth function with a base of 1/3. It is not a shrink but an expansion of the original function.

Therefore, the correct option is f(x) = 1/3(1/3)x

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There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

Given, the function for the cost of coffee C ′(x)=−0.021x+7,25, for x≤300 and we are to find the total cost of disregarding 220 pounds of coffee.

Total cost of disregarding 220 pounds of coffee is given by;Now, the cost of remaining coffee would be the difference of the total cost of the coffee minus the cost of 220 pounds of coffee.Cost of remaining coffee = C(300) - C(220)= (-0.021 * 300 + 7.25) - 2.67= 1.8Hence, the total cost of disregarding 220 pounds of coffee is $2.67 and the cost of the remaining coffee is $1.8. 

C ′(x)=−0.021x+7,25, for x≤300 indicates that the cost of coffee for less than 300 pounds of coffee. For a total of 220 pounds of coffee, we need to calculate the cost as;Cost of 220 pounds of coffee = C ′

(220) = -0.021 * 220 +

7.25= $2.67The remaining coffee cost can be calculated by subtracting the cost of 220 pounds of coffee from the total cost of the coffee. Hence, the remaining coffee cost would be;Cost of remaining coffee = C(300) - C

(220)= (-0.021 * 300 + 7.25) -

2.67= 1.8Therefore, the total cost of disregarding 220 pounds of coffee is $2.67 and the cost of the remaining coffee is $1.8.

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here is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.

The meteorologist can use probability to determine the likelihood of it raining on a certain number of days in a random sample of 18 days. Based on the past year's records, the probability of it raining on any given day is 21/365, or approximately 0.0575. Using the binomial distribution formula, the probability of it raining exactly 4 times in a random sample of 18 days is:

P(4) = (18 choose 4) * (0.0575)^4 * (1 - 0.0575)^(18 - 4)
P(4) = 0.198

Therefore, there is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.

This probability is based on the assumption that the weather patterns will remain similar to the past year's records.  

more

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The cone shaped pile can hold 235.5 feet sand.

What is volume of cone ?

  One-third the sum of the area of the cone's circular base and its height is the formula for a cone's volume. Cones are described as pyramids with circular cross sections in terms of geometric and mathematical ideas. A cone's volume can be quickly determined by measuring the cone's height and radius.

Here radius of cone = 5 feet

Height of cone h = 8 feet 10 inches = 8+1 = 9 feet

Now volume of cone is

=> V = \(\pi r^2\frac{h}{3}\) cubic unit

=> V= 3.14* 25 * 3 = 235.5 cubic feet.

Hence the cone shaped pile can hold 235.5 feet sand.

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