A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,200 ft Determine the flag's width and length if the length is 480 ft greater than the width.
The flag's width is ft. Its length is ft.
4

Answer:0.4 as a decimal,2/5 as a fraction

Step-by-step explanation:

From Boston to Kansas City, it takes 20 minutes to get there. When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Regardless of an object's beginning or ending position, we can define distance as the amount of ground it has traveled.

given

When calculating the plane's arrival time, multiply the 360 mph speed from Boston by the 864 mi distance to Chicago.

Distance = rate*time

864 = 360t,

t = 2.4

In other words, the flight arrived after 2.4 hours. Given that this is longer than two hours, divide the number by sixty to determine the time in minutes:

60 * 2.4 = 144 minutes. Assess the flight's travel time from Kansas City now.

It took 2 hours, 4 minutes, or 124 minutes from the time it departed at 8:30 AM to the time it arrived at 10:34 AM.

According to this, the jet from Kansas City arrived 144 – 124 = 20 minutes earlier than the plane from.

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The probability that every color will be represented in the sample of 5 is 35/7776.

For the stated question, box contains-

probability = favourable outcome/ total outcome

5 marbles are selected with out replacement.

Thus,

Probability of getting all color will occur is-

P(all color) =  (4C2)*(5C1)*(6C1)*(7C1) + (4C1)*(5C2)*(6C1)*(7C1) + (4C1)*(5C1)*(6C2)*(7C1) + (4C1)*(5C1)*(6C1)*(7C2) / (10C5)⁴

P(all color) = 6*5*6*7 + 4*10*6*7 + 4*5*15*7 + 4*5*6*21 / 36⁴

P(all color) = 1260 + 1680 + 2100 + 2520 / 1679616

P(all color) = 7560 / 1679616

P(all color) = 35/7776

Thus, the probability that every color will be represented in the sample of 5 is 35/7776.

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The amount that Stephen owed after 2 weeks is $100.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

In this case, Stephan borrowed $125 to buy an electric scooter and the function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan.

The amount after 2 weeks will be:

f(x) = 125 - 12.5x

= 125 - 12.5(2)

= 125 - 25

= $100

The amount is $100.

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Complete question

Stephan borrowed $125 to buy an electric scooter. The function f(x) = 125 - 12.5x

can be used to represent the amount of money Stephan owes on the loan, where X is the number of weeks that Stephan pays towards the loan. What is the amount owed after 2 weeks?

The verdict on each of the given scenarios are as follows;

By observation:

1. Since the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.

2. By observation, although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.

3. The two Triangles share the diagonal which serves as the hypothenuse of both triangles; in addition, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.

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The value of the given logarithm log(750)=2.875.

Commonly employed in science and engineering, the base-10 logarithm is also known as the decimal or common logarithm. Since its derivative is so straight forward, the natural logarithm, whose base is the number e 2.718, is widely used in both mathematics and physics. Computer science typically use the binary logarithm, which has a base of 2.

John Napier developed logarithms as a way to make calculations simpler in 1614. To make high-accuracy calculations simpler, they were quickly embraced by surveyors, scientists, engineers, navigators, and other professionals. Inefficient multi-digit multiplication steps can be swapped out for quicker addition and table lookups when using logarithm tables.

Given,

We have to find the logarithm value of log(750)

By using the logarithm calculator we get

log(750)=2.875

Therefore, the value of the given logarithm log(750)=2.875

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Answer:

Step-by-step explanation:

21:

3,7

for a normal distribution, assume the 'population' standard deviation is 7.7. .645 * 7.7 / √(n) is the maximal margin of error associated with a 90% confidence interval for the true population mean if n

The margin of error is calculated as

Margin of Error = Critical Value * Standard Deviation / √(Sample Size)

= 1.645 * 7.7 / √(n)

= 1.645 * 7.7 / √(n)

The margin of error is a measure of the accuracy of an estimate based on a sample from a population. It is calculated by taking the critical value (1.645, for a 90% confidence interval) multiplied by the population standard deviation (7.7), divided by the square root of the sample size (n). The higher the sample size, the smaller the margin of error. This means that a larger sample size gives a more accurate estimate of the true population mean.

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Answer: $0.99

Step-by-step explanation: 8.5x0.06=0.51. 8.5+0.51=9.01. 10-9.01=0.99. Henry would get $0.99 in change.

Answer:

Area = 3w^2 - 6w

Step-by-step explanation:

Area = width * length

width = w

length = 3w - 6

Area = w (3w - 6)

Area = 3w^2 - 6w

Answer:

Area of rectangle = 3w² - 6w

Step-by-step explanation:

      Width = 'w' ft

      three times of width = 3*w = 3w

             six less than 3w = 3w - 6

   length = 3w - 6

     [tex]\sf \boxed{\bf Area \ of \ rectangle = length*width}[/tex]

                                      = (3w - 6)*w

                                      = 3w*w - 6*w

                                      = 3w² - 6w

The slope of the line AB in simplest form is 3/2.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We also know that the slope is rise over run, rise represents the y-axis and run represents the x-axis.

From B to C rise is 3 and from B to C run is 2.

Therefore, the slope of the line AB is 3/2.

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the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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Answer: twelve and nine-tenths feet

Step-by-step explanation:

I turned the fractions into decimals cus I find that easier.

5/8 = .625 + 2 = 2.625

2.625(4) = 10.5 (multiply by 4 because it is 4 pieces)

1/5 = 0.2 + 1 = 1.2

1.2(2) = 2.4 (multiply by 2 because it is 2 pieces)

2.4 + 10.5 = 12.9

.9 can also be 9/10ths

Answer:

12 9/10

Step-by-step explanation:

The four pieces of wood: 4 x 2 5/8 = 10.5 or 10 1/2

The two peices of wood: 2 x 1 1/5 = 2.4 or 2 2/5

The total of both: 10 1/2 + 2 2/5= 12.9 or 12 9/10

In an ideal circumstance, two people using 56k modems could exchange approximately 448,000 bits of digital information in one minute time. This is equal to 56,000 bytes of data per second (56kbps).

In an ideal circumstance, two people using 56k modems could exchange digital information at a rate of 56 kilobits per second (56kbps). To calculate the amount of data transferred in one minute, we need to multiply 56kbps by 60 seconds. This gives us a total of 3,360 kilobits, or 3.36 megabits. Since one byte is equal to 8 bits, we can divide 3.36 megabits by 8 to get the total number of bytes exchanged. This calculation results in 420,000 bytes, or 448,000 bits, of digital information exchanged in one minute of time.

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Answer:  

1/ There are 4 clownfish in the tank now

2/ 4/10

Step-by-step explanation:

1/ We know the original number of clownfish is 2/8, which means there are 2 clownfish in a tank with a total number of 8 fish.

So now she wants to double the clownfish. So there will be 4 clownfish in the tank now.

2/ We know that there was eight fish in the tank, and now there are 2 more, so the total will be 10! And we know that now there are 4 clownfish, so our fraction is 4/10

The equation of the red graph is g(x) = -x².

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

g(x) = -x²

For x = 0, 1, 2, 3, 4, 5, ......

g(1) = 0

g(1) = -1

g(2) = -4

g(3) = -9

g(4) = -16

Thus,

The graph of red graph is g(x) = -x².

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Answer:

To find the difference between the cash price and the hire purchase price, we need to calculate the total hire purchase price.

First, we need to find the outstanding balance after the deposit is paid. We can do this by subtracting the deposit from the cash price:

outstanding balance = cash price - deposit

= Rs 65,000 - Rs 20,000

= Rs 45,000

Next, we need to calculate the total interest to be paid over the 2 1/2 year period. We can do this using the following formula:

total interest = outstanding balance * interest rate * time period

= Rs 45,000 * 18% * 2 1/2 years

= Rs 20,250

Finally, we can add the outstanding balance and the total interest to find the total hire purchase price:

total hire purchase price = outstanding balance + total interest

= Rs 45,000 + Rs 20,250

= Rs 65,250

The difference between the cash price and the hire purchase price is the difference between the total hire purchase price and the cash price. So we can calculate this as follows:

difference = total hire purchase price - cash price

= Rs 65,250 - Rs 65,000

= Rs 250

Therefore, the difference between the cash price and the hire purchase price is Rs 250.

I hope this helps!

= 20 000 + 1.18(65 000 - 20 000)

= 20 000 + 1.18(45 000)

= 20 000 + 53 100

= 73 100

73 100 - 65 000

= 8 100

Therefore, you will spend RS 8 100 more if you buy Hire Purchase Price than the Cash Price of Television.

Answer:

Step-by-step explanation:

Dividing 168 by the smallest prime number          168 ÷ 2 = 84

84 is again divisible by 2                                           84 ÷ 2 = 42

42 is an even number and divisible by 2                   42 ÷ 2 = 21

Now, 21 is divisible by the next prime number, i.e.3   21 ÷ 3 = 7

7 is a prime number itself                                            7 ÷ 7 = 1

Take the square root of each side.

[tex]\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5[/tex]

Option a) ab + bc > ac is correct.

The first method by which we can solve this question is,

We have to know about the property of the triangle,

According to the property of the triangle, if we consider a triangle with lines ab, bc, ac and  -

Therefore, we can conclude that ⇒ ab + bc > ac and ab - bc < ac

In the second method, let us consider the given triangle as right-angled,

So, according to the property of the right-angled triangle or Pythagoras' Theorem,

The square of the hypotenuse is equal to the square of the other two sides, let us consider the sides of the triangle = ab, bc, ac.

ABC is a right-angled triangle -

[tex]ab^{2} + bc^{2} = ac^{2}[/tex]

[tex]ab + bc > ac[/tex]

Therefore, we can conclude that, options a) ab + bc > ac is correct.

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Answer:

17%

Step-by-step explanation:

Let us say there are 200 people on the JV swim team. That would mean that 110 people do not wear glasses.

Of these 110 people, 30% are in 10th grade. Therefore, 33 people are in 10th grade and do not wear glasses.

This is 33 people ÷ 200 total = 16.5% ≈ 17%

Therefore, there is a 17% probability that a randomly chosen member of the jv swim team does not wear glasses and is in the 10th grade

[NOTE] You could also just do 55% × 30% = .55 × .30 = .165 ≈ .17 ⇒ 17%

Answer:

The cost of one foot of grass sod is $9 and the cost of one shrub is $18.

Step-by-step explanation:

Since Pranv and Paul both bought their supplies from the same store, we can assume that they paid the same price per foot of grass sod and per shrub. From the information given, we know that Pranv spent $90 on 10 feet of grass sod and 5 shrubs, which means that he paid 90/10 = $9 per foot of grass sod and 90/5 = $18 per shrub. We also know that Paul spent $50 on 5 feet of grass sod and 3 shrubs, which means that he paid 50/5 = $10 per foot of grass sod and 50/3 = $16.67 per shrub. Since both Pranv and Paul paid the same price per foot of grass sod and per shrub, the cost of one foot of grass sod is $9 and the cost of one shrub is $18.

Answer:

The mass of 100 cubic cm = 1,000 grams.

The mass of 500 cubic cm = 5,000 grams.

Step-by-step explanation:

90/10=9

140/10=14

250/10=25

100x10=1000

500x10=5000

The curvature at the point (2, 8, −1). x = 2t, y = 8t^3/2, z = −t^2 is 0.039

In this question we need to find the curvature of r(t) = <2t, 8t^3/2, -t^2> at the point (2, 8, -1).

The derivative of r(t) with respect to t is:

r'(t) = <2, 12t^1/2, -2t>

The point (2, 8, -1) corresponds to t = 1,

and r′(1) = <2, 12(1)^1/2, -2(1)>

r'(1) = <2, 12, -2>

|r'(1)| = √(2^2 + 12^2 + (-2)^2)

|r'(1)| = √(4 + 144 + 4)

|r'(1)| = √(152)

|r'(1)| = 12.32

Now, r''(t) = <2, 6t^-1/2, -2>

and r′'(1) = <0, 6, -2>

r′(1) × r′′(1) = <0, 72, 4>

|r′(1) × r′′(1) |

= √(0^2 + 72^2 + 4^2)

=72.11

So, the curvature of r(t) would be,

κ(1) = |r′(1) × r′′(1)| ÷ |r′(1)|^3

k(1) = 72.11 / 12.32³

k(1) =0.039

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Answer:

75

Step-by-step explanation:

From the way you've typed the question, it would appear that the ratio of the size of the smaller side to the ratio of the size of the larger side is 2:5.

Therefore, if the smaller side is 30, you can use the ratio the find the larger side:

[tex]S:L\\2:5\\\\[/tex]

(×15 to make the smaller side 30)

[tex]30:75[/tex]

Therefore, the bigger triangle would have side length 75.

Answer:

m it's equal to 6 because division its equal subtract the power

Step-by-step explanation:

A* to the power 9 divided by A* to the power 3 its equal to 9-3 = A* to the power its a

A^6