Fwam and Eva are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Fwam is gar miles away from the stadium and Eva is 396 miles away from the stadium. Fwam is driving along the highway at a speed of 42 miles per hour and Eva is driving at speed of 65 miles per hour. Let F represent Fwam's distance, in miles, away from the stadium t hours after noon. Let E represent Eva's distance, in miles, away from the stadium t hours after noon. Write an equation for each situation, in terms of t, and determine how far both Fwam and Eva are from the stadium at the moment they are an equal distance from the stadium.

Answer:

180

Step-by-step explanation:

To find the lowest common multiple (LCM) of 36 and 30, we can use the prime factorization method:First, we can find the prime factorization of each number:36 = 2^2 * 3^230 = 2 * 3 * 5Next, we can take the highest power of each prime factor that appears in either number and multiply them together.The highest power of 2 is 2^2 = 4.The highest power of 3 is 3^2 = 9.The highest power of 5 is 5^1 = 5.Multiplying these together, we get:LCM(36, 30) = 2^2 * 3^2 * 5 = 180Therefore, the lowest common multiple of 36 and 30 is 180.

Answer: 180

Step-by-step explanation:

To find the lowest common multiple (LCM) of two numbers, we need to find the smallest number that is a multiple of both of them.

One way to do this is to find the prime factorization of each number and then take the product of all the prime factors, with each factor occurring as many times as it appears in the factorization of either number.

The prime factorization of 36 is 2^2 × 3^2, and the prime factorization of 30 is 2 × 3 × 5. Therefore, the LCM of 36 and 30 can be found by taking the product of the highest power of each prime factor that appears in either factorization:

LCM(36, 30) = 2^2 × 3^2 × 5 = 180

Therefore, the lowest common multiple of 36 and 30 is 180.

The value of the most expensive car loan that Cindy can afford is $13,712

We are given that;

Amount= $215

Percentage= 2.1%

PMT = 215 i = 0.021 / 12 = 0.00175 (the annual interest rate divided by 12 months) n = 6 × 12 = 72 (the number of months in 6 years)

Now,

The formula for the present value of an annuity is:

PV = PMT × (1 - 1/(1 + i)^n) / i

where:

PV = present value PMT = payment amount i = interest rate per period n = number of periods

Plugging these values into the formula, we get:

PV = 215 × (1 - 1/(1 + 0.00175)^72) / 0.00175 PV = 215 × (1 - 0.888) / 0.00175 PV = 215 × 0.112 / 0.00175 PV = 13,712

Therefore, by the percentage the answer will be $13,712.

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Answer:

First, we need to calculate the absolute error, which is the difference between the predicted value and the actual value:

Absolute error = |predicted value - actual value| = |87 - 107| = 20

Then, we can calculate the percent error using the formula:

Percent error = (absolute error / actual value) x 100%

Plugging in the values, we get:

Percent error = (20 / 107) x 100% ≈ 18.69%

Therefore, the percent error of the baker's prediction is approximately 18.69%.

The slope of the line perpendicular to the line is m = ( 7/2 )

Given data ,

The equation of the given line is y = -2/7x + 3/7.

Now , it is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

The slope of the given line is -2/7, which means that for any line perpendicular to this line, the slope would be the negative reciprocal of -2/7.

So , m = ( 7/2 )

Hence , the slope of the perpendicular line is = 7/2

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The length of the arc GH is 13.3 cm

The length of an arc is the distance that runs through the curved line of the circle making up the arc.

The length of an arc is expressed as;

l = tetha/360 × 2πr

tetha = R

R = 360-( 170+80)

R = 360-250

R = 110°

l = 110/360 × 2 × 3.14 × 6.4

l = 4787.2/369

l = 13.3 cm (1.dp)

therefore the length of the arc GH is 13.3 cm

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The meaning of the absolute value of -5.5 is given as follows:

The temperature decreases 5.5 degrees.

The absolute value of a number is the number without the signal, for example:

|-2| = |2| = 2.

The number in this problem is given as follows:

-5.5.

Hence:

Hence the second option is the correct option in the context of this problem.

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Length of board should Jessica buy is 4.4 feets.

Step-by-step explanation:

Height of the ramp =

Distance of the porch from the ground = x

Inclination of the ramp,θ = 35°

In triangle ABC,

AB =

AC = x

θ = 35°

According trigonometric ratios:

Length of board should Jessica buy is 4.4 feets.

The 30th percentile in the uniform distribution is 2.4 min.

The correct option is (b)

The probability formula is defined as the ratio of favorable outcomes to the ratio of total outcomes. For any event (E), :

P(E)= Number of favorable outcomes/ Number of total outcomes

[tex]\mu=\frac{a +b}{2}[/tex]

[tex]\sigma=\sqrt{\frac{(b-a)^2}{12} }[/tex]

P(x) = 1/ b - a if a < x < b

P(X < a) = 0

and

P(X > b) = 0

In this case, a = 0 and b = 8

The 30th percentile in the uniform distribution, this means that the probability is 0.30. Therefore:

0.3 = [tex]\frac{1}{8-0}.x[/tex]

0.3 (8 -0) = x

2.4 = x

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The given question is incomplete, complete question is :

The Sky Train from the terminal to the rental-car and long-term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution. Find the 30th percentile for the waiting times (in minutes).

a. 2

b. 2.4

c. 2.75

d. 3

Answer: 1) 66 2)

Step-by-step explanation:

1) 22x3=66

2) C

Hope this helps! :)

Victoria's statement that her running speed is faster an elephant's does not make sense because it is based on the comparison of unlike units of measurement.

Elephant's running speed = 100 yards in 20 seconds

= 5 yards per second (100 ÷ 20)

1 yard = 3 feet

5 yards = 15 feet (5 x 3)

The elephant's running speed = 15 feet per second.

Victoria's running speed = 60 feet in 10 seconds

= 6 feet per second (60  ÷ 10)

Thus, we conclude that the elephant's running speed is 15 feet per second, while Victoria does 6 feet per second, making her claim untrue.

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Answer: x = -5

Step-by-step explanation:

Answer:

x=-5

7 - 4 * (-5)

Negative times a negative equals a positive

-4*-5=20

7+20=27

Answer:

The length of the second train is 416.67 meters.

Step-by-step explanation:

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The horizontal distance more that Jake was able to cover, given the incline, would be A.4.1 ft.

We can find the horizontal distance that both Jake and Raphael covered .

Jake's distance was:

cos ( 7.9 ° ) = adjacent / 100

adjacent = 100 x 0.989

adjacent = 98.9 ft

Rafael's distance was :

cos ( 18. 3° ) = adjacent / 100

adjacent = 100 x 0.951

adjacent = 95.1 ft

The difference and the distance covered in addition by Jake would be:

= 98. 9 - 95. 1

= 3. 8 ft

The closest option is 4. 1 ft.

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The pineapple has 1097g more mass than the apples.

We have,

The difference between two values is the result of subtracting one value from the other.

In this case, we want to find the difference between the mass of the pineapple and the mass of the apples.

To do this, we subtract the mass of the apples from the mass of the pineapple.

The equation for this is:

Pineapple mass - Apple mass = Difference

Substituting the given values:

3547g - 2450g = 1097g

Therefore,

The pineapple has 1097g more mass than the apples.

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Answer: The IQR of this data set is 5.5

Step-by-step explanation: Ok so first you line the data set up in correct order.

Here's the correct order:

13, 15, 15, 16, 18, 19, 22, 28

Then you find the median and since there's even amount of numbers you add the two numbers in the middle which is 16 and 18 and divide that by 2 which is 17. So the median is 17. Then you split the data set into halves. The first quartile is 15 and the third quartile is 20.5. Then to find the IQR, you would minus 20.5 - 15 = 5.5. Hope this helps!

Answer:

80%

Step-by-step explanation:

After all the trade he got 50 stickers

40 Big

10 small

50 stickers is 100%

40B stickers is ??

WE multiply 40 by 100 then divide by 50

so 80%

The value of the smaller of the two missing sides (the second leg) is,

⇒ 144 units

We have to given that;

The length of one of the legs of a right triangle is 17.

And, The lengths of the other two sides are consecutive integers.

Hence, Let the smallest of the other legs be x,

And, the hypotenuse be x + 1.

So, By using the Pythagorean theorem as;

⇒ 17² + x² = (x + 1)²

⇒ 289 + x² = x² + 1 + 2x

⇒ 2x = 288

⇒ x = 144

Thus, The value of the smaller of the two missing sides (the second leg) is,

⇒ 144 units

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Answer:

The answer would be option A

Step-by-step explanation:

-14 times 8=-122

The number of scoops of birdseed Sarah puts in the feeder n = 2

Given data ,

Let the number of scoops of birdseed Sarah puts in the feeder be n

While utilizing a scoop that can contain 1/4 cup of birdseed, Sarah's bird feeder holds 1/2 cup of birdseed. We must divide the capacity of the bird feeder by the capacity of the scoop to determine how many scoops Sarah will add to the feeder.

On simplifying the equation , we get

1/2 ÷ 1/4 = n

n = 1/2 x 4/1

n = 4/2

n = 2 scoops

Hence , the equation is solved and n = 2

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The distinct orders of light bulbs are there if two light bulbs of the same color are considered identical = 4,620

Here, the total number of bulbs = 11

The number of red light bulbs = 3

The number of yellow light bulbs = 2

and the number of  pink light bulbs = 6

We know that the formula for the permutation with repetition is:

n! / (n1! × n2! x ... × nk!)

We use this formula to find the required number of light bulbs.

Here, two light bulbs of the same color are considered identical

We divide by 3! in order to adjust for overcounting, because we have 3 red light bulbs.

simmilarly for the 2 yellow light bulbs, we divide with 2!.

and for the 6 pink light bulbs, we divide by 6!

Thus, the total number of distinct orders of bulbs will be:

11! / (3! × 2! × 6!) = 4,620

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The zeros of g(x)= -(x+2) (x-3) (x-3) are -2 and 3.

We are given that;

g (x) = -(x+2) (x-3) (x-3)

Now,

To determine the zeros of g(x) = -(x+2)(x-3)(x-3), we need to find the values of x that make g(x) equal to zero. This means that we need to solve the equation:

−(x+2)(x−3)(x−3)=0

To solve this equation, we can use the zero product property, which states that if the product of two or more factors is zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for x:

x+2=0orx−3=0

Subtracting 2 from both sides of the first equation, we get:

x=−2

Adding 3 to both sides of the second equation, we get:

x=3

Therefore, by the given equation the answer will be -2 and 3.

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Answer:

There would be a 38% or 8/21 probability of picking a red jelly bean on the first draw and a 20% or 4/20 probability of picking a blue jelly bean on the second.

Step-by-step explanation:

There are 21 jelly beans in total. So on the first draw, there is an 8/21 chance you will get a red jelly bean. If you turn this fraction into a percentage, it is 38%.

Now that a jelly bean is missing, there are 20 jelly beans. There are four blue ones still, so there is a 4/20 chance of getting a blue jelly bean. Turning this ratio into a percent gets you 20%.

I would love a brainliest. I haven't had one yet and it would make my day. Hope this helped you!

The  probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw is 32/441.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The jar contains 8 red, 2 green, 4 blue, and 7 pink, jelly beans.

total beans = 8 + 2 + 4 + 7 = 21

So, the probability of selecting a red jelly bean on the first draw and a blue jelly bean on the second draw

= 8/21 x 4 / 21

= 32 /441

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Question 11 seems to have strange typos in it. Please double-check to make sure it has been typed correctly.

I'm not sure how to answer that one.

----------

I'll focus on Question 12.

The long division scratch work is shown in the image attachment below.

The answer to problem 12 is  x+9 remainder -7x-7

Please let me know if you have questions about any step of the polynomial long division process.

The surface area of the cylinder in terms of pi is:

S = pi*301 cm²

We know that for a cylinder of radius R and height H the surface area is:

S = pi*( 2RH + R²)

Here the height is 18 cm and the diameter is 14cm, then the radius is.

R = 14cm/2 = 7cm

Then the surface area will be:

S = pi*(2*7cm*18cm + (7cm)*7cm)

S = pi*301 cm²

That is the surface area in terms of pi.

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Answer:proving that EFGH is a square: points E,F,G,H

separate the sides of the square ABCD into two lines. if AE=BF=CG=DH then

AH=DG=EB=FC and it shows that if we connect the points E,F,G,H to each other with line we will have a square

HAE~EBF~FCG