2+22222222222222222222222222

Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as [tex]l[/tex] and the width as [tex]w[/tex], and if in addition we are told [tex]l=5 w[/tex],the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

[tex]A=(l)(w)=320 m^{2}[/tex]

Since [tex]l=5 w[/tex]:

[tex]A=(5w)(w)=320 m^{2}[/tex]

Isolating [tex]w[/tex]:

[tex]5w^{2}=320 m^{2}[/tex]

[tex]w=\sqrt{\frac{320 m^{2}}{5}}[/tex]

[tex]w=8 m[/tex]

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure [tex]w[/tex] and two sides that measure [tex]5 w[/tex], the perimeter is:

[tex]P=2(5)(w)+2w[/tex]

Substituting the value of [tex]w[/tex] in the last equation:

[tex]P=2(5)(8 m)+2(8 m)[/tex]

Finally the perimeter is:

[tex]P=96 m[/tex]

Final answer:

The perimeter of the rectangle is determined by first finding the width using the area given, then calculating the length as five times the width and using the formula P = 2l + 2w. The perimeter is 96 meters.

Explanation:

To solve for the perimeter of the rectangle when we know the area is 320m² and the length is five times the width, we first let w represent the width of the rectangle. Therefore, the length is 5w. Given that the area A is equal to the length times the width, we have the equation w × 5w = 320. Solving for w, we get w² = 64 so w = 8 meters.

Since the length is five times the width, it is 5 × 8 = 40 meters. The perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width. Substituting the values we have, P = 2(40) + 2(8) = 96 meters.

Answer:

x = 1 y = 2

Step-by-step explanation:

5x - 4y = -3

5x - 4 (-3x + 5) = -3

5x + 12x - 20 = -3

17x - 20 + 20 = -3 + 20

17x = 17 ÷ 17

x = 1

y = -3x + 5

y = -3 (1) + 5

y = -3 + 5

y = 2

Answer:

exponential function

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

A right triangle must have a 90 degree angle.

It should take the student 1.75 minutes to complete 35 multiplication facts.

To determine how long it will take the 5th grade student to complete 35 multiplication facts at the same rate as 20 facts in 1 minute, we can set up a proportion or use unit rates. Since the student can complete 20 facts in 1 minute, we find the time per fact by dividing the total time by the number of facts:

1 minute / 20 facts = 0.05 minutes per fact

Then, we multiply the rate by the number of new facts:

0.05 minutes per fact * 35 facts = 1.75 minutes

Therefore, it should take the student 1.75 minutes to complete 35 multiplication facts.

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

[tex]y=kx[/tex]

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]

For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]

For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]

therefore

The value of k is equal to 3

The linear equation is

[tex]y=3x[/tex]

or

[tex]Height=3Width[/tex]

Answer:

I had done this on A P E X and it said it was 80

Answer:

13.42

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

highest temperature = 6°c

lowest temperature = -8°c

difference = 6-(-8)

14

The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.

The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.

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Answer: 26.6

Step-by-step explanation: To solve this problem, let's ignore the first  2 words which are "what is."

So, we can really change the problem to say 70% of 38.

To find 70% of 38, first write 70% as a decimal by moving the decimal point 2 places to the left to get .70.

Next, the word "of" means multiply, so we have (.70)(38) which is 26.6.

So 70% of 38 is 26.6.

Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = [tex]\frac{2-0}{0+1}[/tex] = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

Answer:

42

Step-by-step explanation:

You change 1/2 to 3/6

1/2=3/6

Then, you take 3-1=2 to find the difference

Next, as you found out that 2 units equals to 14, you take 14÷2=7

As there are 6 units, you take 7×6=42

Thus, the answer 42

Answer:

42

Step-by-step explanation:

Let total no. of trees be 'X'

Lemon are (1/6) of X = X/6

Orange are (1/2) of X = X/2

Difference is 14

X/2 - X/6 = 14

Lcm is 6

(3X-X)/6 = 14

2X = 14×6

X = 42

Answer:

B

Step-by-step explanation:

the others wouldn't make seans

a. P(G1 and G2) = 0.154 b. P(At least 1 green) = 0.592 c. P(G2|G1) = 19/49

d. G1 and G2 are not independent

Let's assume we are drawing cards from a deck without replacement.

There are two possibilities for the first card drawn (G1):

The first card drawn is green (G1).

The first card drawn is not green (Non-G1, which means it's either red or blue).

a. P(G1 and G2) = P(G1) * P(G2|G1)

Since we are drawing without replacement, after drawing a green card for G1, there is one less green card in the deck. Therefore:

P(G1) = Number of green cards / Total number of cards = 20/50 = 2/5

P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

So, P(G1 and G2) = (2/5) * (19/49) ≈ 0.154

b. P(At least 1 green) = 1 - P(no green cards) = 1 - P(non-G1 and non-G2)

P(non-G1) = Number of non-green cards / Total number of cards = 30/50 = 3/5

P(non-G2|non-G1) = Number of non-green cards remaining / Total number of cards remaining = 29/49

P(no green cards) = P(non-G1) * P(non-G2|non-G1) = (3/5) * (29/49)

So, P(At least 1 green) = 1 - P(no green cards) = 1 - (3/5) * (29/49) ≈ 0.592

c. P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

d. No, G1 and G2 are not independent because the outcome of drawing the first green card (G1) affects the probability of drawing a green card in the second draw (G2). The conditional probability P(G2|G1) is not equal to the unconditional probability P(G2).

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The value of the probabilities are: a) P(G1 and G2) =0.3182, b) P(At least 1 green) = 0.8485,c)  P(G2|G1) = 0.5455 and d) G1 and G2 dependent.

Given:

Total number of cards = 7 (green) + 5 (yellow)

                                     = 12 cards

a. Since the cards are drawn without replacement, the probability can be calculated as:

P(G1 and G2) = P(G1) * P(G2|G1)

P(G1) = Number of green cards / Total number of cards

        = 7 / 12

or, P(G2|G1) = Number of remaining green cards / Total remaining cards

                    =6/11

So, P(G1 and G2) = (7 / 12) * (6 / 11)

                            = 0.3182

b. P(At least 1 green) = 1 - P(Both yellow)

P(Both yellow) = P(Yellow1) * P(Yellow2|Yellow1)

P(Yellow1) = Number of yellow cards / Total number of cards

                 = 5 / 12

P(Yellow2|Yellow1) = remaining yellow cards / Total remaining cards

                               = 4 / 11

So, P(Both yellow) = (5 / 12) * (4 / 11)

                               = 0.1515

Therefore,

P(At least 1 green) = 1 - 0.1515

                               = 0.8485

c. Since one green card has already been drawn, there are now 6 green cards and 11 cards in total remaining:

P(G2|G1) = Number of green cards / Total remaining cards

              = 6 / 11

              = 0.5455

d. In this case, G2|G1 is not equal to the overall probability of G2.

This indicates that the events are dependent, as the probability of drawing a green card for the second draw changes based on the outcome of the first draw.

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There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.

Let's define the number of first class passengers as x and the number of tourist class passengers as y.

We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360

We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12

So, there are 12 first class passengers.
Using y = 52 - x, we find:

y = 52 - 12 = 40

Thus, there are 40 tourist class passengers.

Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = y2-y1/x2-x1

1 -3 . 3 1

(1 - (-3))/(3-1)

4/2

2

Slope = 2

y = mx + b

y = 2x -5

Final answer:

Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.

Explanation:

Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.

Total hours in a weekend: 48 hours

Sleeping hours: 16 hours

Awake hours: 48 hours - 16 hours = 32 hours

Now, we convert 32 hours to a fraction of the weekend.

Awake fraction: 32 hours / 48 hours = 2/3 of the weekend

Next, we convert this fraction to a percentage.

Awake percentage: (2/3) × 100 = 66.67%

Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.

Answer:

21a

Step-by-step explanation:

yes they are equal.. all you need is just to add all the number to get your answer!

Answer:

21a

Step-by-step explanation:

because ,

4a+4a+3a =11a

and 7a+3a=10a

and they are equal so what you need is that

just to add them and for maths (and) means addition ..... so therefore the answer is 21a

Answer:

A.-0.5x+1.7

Step-by-step explanation:

-3.4x+4.7-3+2.9x

-0.5x+1.7

Answer:

-0.5x+1.7

Step-by-step explanation:

Answer:

The correct option for this is C.) The mean and median age are more likely to be the same for the students in Math 1.

Step-by-step explanation:

i) The median age of the students is Math 1 is less than the median age of the students in Math 2.

This statement is NOT TRUE as the median age of students in Math 1 = median age of students in Math 2 = 19

ii) The mean and median age are most likely the same for both sets of data.

   This statement is NOT TRUE. The mean age of students in Math 2 should be greater than mean age of students in Math 1.

iii) The mean and median age are more likely to be the same for the students in Math 1.

  This statement is TRUE.

Answer:

The mean and median age are more likely to be the same for the students in Math 1.

Step-by-step explanation:

The median age of the students for the student is Math 1 is less than the median age of the students in Math 2.

The statement is not true as the median age of students in Math 1 is equal to the median age of the students in Math 2 = 19.

Also, the mean and median age are the most likely to be the same for both sets of data.

The above statement is also not true as the mean age of students in Math 2 should be greater than the mean age of students in Math 1.

The number are "3.4, 3.7, and 3.8"

List of number 3 rational numbers in 3 and 3.9.

Therefore the number are "3.4, 3.7, and 3.8".

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Final answer:

Three rational numbers between 3 and 3.9 are 3.2, 3.3, and 3.6.

Explanation:

To list 3 rational numbers between 3 and 3.9, we can consider the numbers that lie between these two values.

We can start by looking for numbers with a tenths place greater than 3 but less than 9.

To find three rational numbers between 3 and 3.9, we simply need to choose numbers that have a finite number of digits after the decimal point.

Some examples of rational numbers in this range are 3.2, 3.3, and 3.6.

These satisfy the condition of being between 3 and 3.9.

a. It spends 2.04 hours going 55 mph.

b. It will spend 1 hour going 35 mph.

c. The trip will take 3.64 hours.

Step-by-step explanation:

Given equation is;

55x + 35y = 200

Where

x represent the time when speed is 55 mph

y represent the time when speed is 35 mph

a. If the car spends 2.5 hours going 35mph on the trip, how long does it spend going 55mph?

Putting y=2.5 in given equation

[tex]55x+35(2.5)=200\\55x+87.5=200\\55x=200-87.5\\55x=112.5\\[/tex]

Dividing both sides by 55

[tex]\frac{55x}{55}=\frac{112.5}{55}\\x=2.04\ hours[/tex]

It spends 2.04 hours going 55 mph.

b. If the car spends 3 hours going 55mph on the trip, how long does it spend going 35mph?

Putting x=3 in given equation

[tex]55(3)+35y=200\\165+35y=200\\35y=200-165\\35y=35[/tex]

Dividing both sides by 35

[tex]\frac{35y}{35}=\frac{35}{35}\\y=1[/tex]

It will spend 1 hour going 35 mph.

c. If the car spends no time going 35mph, how long would the trip take?

Putting y=0 in given equation

[tex]55x+35(0) = 200 \\55x+0=200\\55x=200[/tex]

Dividing both sides by 55

[tex]\frac{55x}{55}=\frac{200}{55}\\x=3.636[/tex]

Rounding off

x = 3.64

The trip will take 3.64 hours

Keywords: linear equation, division

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Answer:

135.09 kg

Step-by-step explanation:

First, we must determine the total weight of each bicycle including their boxes.  To do this, we must add 3.41 kg and 11.6 kg.  3.41 + 11.6 = 15.01.

Next, multiply the weight of one bike and its box to the total amount of bicycles there are.  There are 9 bikes, so 15.01*9 = 135.09 kg.

To find the total mass of all bicycles and their boxes, add the mass of one bicycle (11.6 kg) and its box (3.41 kg) to get the total mass for one unit (15.01 kg), and then multiply by the total number of bicycles (9), resulting in a total mass of 135.09 kg.

The total mass of all the bicycles and their packing boxes can be calculated by first determining the mass of one bicycle with its box, and then multiplying that by the total number of bicycles being shipped. The mass of one bicycle is 11.6 kg and the mass of its packing box is 3.41 kg. Adding these together gives us the total mass for one bicycle and its box.

Mass of one bicycle: 11.6 kg
Mass of one box: 3.41 kg
Total mass for one bicycle and its box: 11.6 kg + 3.41 kg = 15.01 kg

This total mass for one bicycle and its box must then be multiplied by the number of bicycles to obtain the total mass for all bicycles and their boxes.

Number of bicycles: 9
Total mass for all bicycles and boxes: 9 * 15.01 kg = 135.09 kg

Therefore, the total mass of all the bicycles and their packing boxes is 135.09 kg.

Answer:

d)

Step-by-step explanation:

the answer would be d) because complementary angles equal 90 and, it said that angles d) and a) are complementary. well it would be false since d=125 and obviously angle a) would also be 125 since they are vertical angles

The sum of the 5 terms in the arithmetic series is 40.

Step-by-step explanation:

Step 1;  First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.

Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.

Step 2; To find out the terms we just add the difference to the previous number.

a1 = -14.

a2 = -14 + 11 = -3.

a3 = -3 + 11 = 8.

a4 = 8 + 11 = 19.

a5 = 19 + 11 = 30.

So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.

The sum of the first 5 terms in this arithmetic series is 40, calculated based on the formulas for an arithmetic series involving the first term, the fifth term, and the common difference.

In an arithmetic sequence or series, the difference between each term (the common difference) is constant. We can represent this as: an = a1 + (n - 1) * d, where d is the common difference. Given in this problem that a1 = -14, a5 = 30, and n = 5.

First, we can find the common difference d using the formula: d = (a5 - a1) / (5 - 1) . So, d = (30 - (-14)) / (5 - 1) = 44 / 4 = 11.

Then, we can find the sum of the first 5 terms using the formula: Sn = n / 2 * (2a1 + (n - 1) * d). That gives us: S5 = 5 / 2 * (2(-14) + (5 - 1) * 11) = 5 / 2 * (-28 + 44) = 5 / 2 * 16 = 40.

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Answer:

1/4

Step-by-step explanation:

15 out of the 20 books are horses. 5 of those are nature. 5/20 is the fraction, but can be simplified to 1/4

Shira has 5 out of 20 books about nature on her bookshelf, which simplifies to a fraction of 1/4 of her books being about nature.

Shira has 20 books in total on her bookshelf. Out of these, she has 15 books about horses, meaning the remaining books are about nature.

To find the fraction that represents the nature books, we need to subtract the number of horse books from the total number of books.

So, the number of nature books is 20 total books - 15 horse books = 5 nature books. The fraction of books about nature would therefore be the number of nature books divided by the total number of books, which is 5/20.

This fraction can be simplified by dividing both the numerator and the denominator by 5, resulting in 1/4. Therefore, 1/4 of Shira's books are about nature.

what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz

Answer:

7.87

Step-by-step explanation

Divide

1. Slope of given line = -1/2

2. Slope of line parallel to given line = -1/2

3. Slope of line perpendicular to given line = 2

Step-by-step explanation:

1. Slope of Given line:

We can see that there are two points on the line(highlighted by dots)

Let the two points be (x1,y1) and (x2,y2)

Then

(x1,y1) = (2,2)

(x2,y2) = (-2,4)

The formula for slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]

Hence, the slope of given line is -1/2

2. Slope of line parallel to given line

Let [tex]m_1[/tex] be the slope of the line parallel to given line.

The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.

So,

[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]

Hence,

The slope of line parallel to given line will also be -1/2

3. Slope of line perpendicular to given line:

Let m_2 be the slope of line perpendicular to given line

The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"

So,

[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]

Hence,

The slope of line perpendicular to given line is: 2

Keywords: slope, parallel lines

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Answer:

the container can hold 84.82 inches of food.

Step-by-step explanation:

radius = 3 in

height = 9 in

Volume of a cone = 1/3πr²h

                              = 1/3π(3)²(9)

                              = 27π in³

                             = 84.82 in

I hope this help!

brainliest is appreciated... :}

Answer:

It’s 27 if your talking about I-ready

Step-by-step explanation:

Answer:

The answer is 49 because -(-7)×7 =7×7 = 49

Yo sup??

-(-7)7

=(-1)*(-1)*7*7

=1*49

=49

Hope this helps.