The increasing on the intervals
The decreasing on the intervals

The expression to represents the perimeter is,

54 = 2 (2k + k)

And, The width of the rectangle is, 9 units.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The perimeter of a rectangle is equal to 54 units.

And, The length of the rectangle is 2k units, and the width of the rectangle is k units.

Now, We know that;

Perimeter of rectangle = 2 (Length + Width)

Substitute the given values, we get;

Perimeter of rectangle = 2 (Length + Width)

54 = 2 (2k + k)

54 = 2 × 3k

54 = 6k

54/6 = k

k = 9

Hence, The width of the rectangle is, 9 units.

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Answer:

24, 48

Step-by-step explanation:

1. A common multiple is a number, specifically a whole number, that is a shared multiple between 2 or more numbers.

2. Given the information above, we can see there's a list of multiples for 6 and 8. The multiples that 6 and 8 share are 24 and 48, so they're common multiples.

Therefore, the answer is 24 and 48.

Answer:

The multiples which are used in both numbers are:

24 and 48

Answer:

b=22°

Step-by-step explanation:

because b+42=b+b-20

b+42=2b-20

b-2b=-20-42

-b=-22

b=22°

Answer:

about 70 cans

Step-by-step explanation:

493÷7=70.42

Answer:

what is it what math

Step-by-step explanation:

um what kind of math is this high school primary school

To find the answer, we will need to divide 3/5 by 2/3.

3/5 / 2/3

3/5 x 3/2

9 / 10

There are 9/10 groups of 2/3 in 3/5.

Hope this helps!! :)

Answer:

888888

Step-by-step explanation:

Answer:

4  2 /3

Step-by-step explanation:

Exact Form:

14 /3

Decimal Form:

4.  6

Mixed Number Form:  

4  2 /3

All you do is Simplify the expression.

So, you do 6 - 2/3.

Then, you multiply that result by 2.

Therefore, your answers would be 4  2 /3.

-kiniwih426

Answer:

Step-by-step explanation:

0 = (x + 1)(x + 1)

Therefore

x + 1 = 0

x = -1 (twice)

(-1, 0), (-1, 0)

9514 1404 393

Answer:

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

9514 1404 393

Answer:

  y = x² -6

Step-by-step explanation:

It helps to remember what the coordinates of a point on a graph mean.

  (x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis

If we subtract 6 from the y-value, the point will move down on the graph by 6 units.

__

The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...

  (x, y) = (x, x²)

When we subtract 6 from the y-value, the points become ...

  (x, x² -6)

That is, the new (shifted) value of y is ...

  y = x² -6

The circumference of circle B would be; 74.98 cm.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We have been given that Circle A has a circumference of 25 centimeters.

And Circle B's diameter is 3 times as long as circle A's diameter.

Thus, the Diameter of Circle B = 3 x the Diameter of Circle A

Since The circumference of the circle A = 2πr = 25

2πr = 25

r = 25/  2π

r = 3.98 cm

The Diameter of Circle A = 2 x 3.98 = 7.96 cm

Since Diameter of Circle B = 3 x the Diameter of Circle A

Diameter of Circle B = 3 x 7.96 cm

= 23.88 cm

Radius = 23.88 / 2

Hence, the circumference of circle B =  2πr

= 2 x 22/7 x 23.88 / 2

= 74.98 cm

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Answer:

9.77 i think

Step-by-step explanation:

add up all prices then subtract by three i think

Answer:

93 is the correct answer

Answer: Increase

Step-by-step explanation:

Answer:

48 meters

Step-by-step explanation:

The drawing will be twice as large in all dimensions.  The perimeter will be the same, 48 meters.  The new scale for the new drawing should reflect that 1 unit on the drawing = x meters.  In both cases the perimeter will be the same.  The drawing size and scale factors are different.  When you get to a scale of 1:1, you'll have an actual drawing with a perimeter of 48 meters.

Answer:

21 calories per cup

Step-by-step explanation:

4cups↔84calories

1cup  ↔less

1/4x84=21calories

Answer:

B

Step-by-step explanation:

e2020

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

There would be 85 Tulips in the garden if the garden has 60 daffodils

Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.

From the table, 12 daffodils corresponds with 17 Tulips.

Hence the ratio of tulips to daffodils = 17 tulips / 12 daffodils

Therefore for 60 daffodils:

Number of Tulips = (17 tulips / 12 daffodils) * 60 daffodils

Number of Tulips = 85 Tulips

There would be 85 Tulips in the garden if the garden has 60 daffodils

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Answer:

x=45 y=60

Step-by-step explanation:

the picture is kinda blurry but if im seeing it correctly its ^^^

Answer:

What makes a number friendly?

In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.

Step-by-step explanation:

9 inches = 14 yard

Formula: divide the value in inches by 36 because 1 yard equals 36 inches. So, 9 inches = 936 = 14 or 0.25 yard.

Answer:

4 yards

Step-by-step explanation:

Use a ratio and then cross multiply

120 yd       x yd

---------  =  ---------

270 in         9 in

270x = 1080

x= 1080 / 270

x = 4 yd

Answer:

The probability would be 3 out of the 10 girls

Step-by-step explanation:

The probability that a female student does not have an A on the test is 7/29.

Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a female student does not have an A = number of females that do not have an A / total number of females

(29 - 20 - 2 )/ 29 = 7/29

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Answer:

It's probably it

Step-by-step explanation:

A = (-4, -2)

B = (1, 6)

Imagine a new point (C) where they intersect (1, -2)

Now we can form a triangle, the distance between A and B will be the hypotenuse.

h² = 5² + 8²

h² = 25 + 64

h² = 89

h = [tex]\sqrt{89}[/tex]

h = ~9.43...

h = 9

Part A

The equation is g = -2.5m + 20

The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.

The smallest m can be is m = 0

Let's plug in g = 0 and solve for m to find the largest possible m value

g = -2.5m + 20

-2.5m + 20 = g

-2.5m + 20 = 0

-2.5m = -20

m = (-20)/(-2.5)

m = 8

At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.

This means m is between 0 and 8, including both endpoints.

The domain is [tex]0 \le m \le 8[/tex]

The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5

No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.

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Answers:

======================================================

Part C

See the graph below. The table is included as well.

To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.

Let's say we picked m = 2

That would mean,

g = -2.5m + 20

g = -2.5*2 + 20

g = -5 + 20

g = 15

So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.

Once the table is set up, you plot all of the points and draw a line through them to complete the graph.

Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.

Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.

Answer:

Jenna paid $42.00

Step-by-step explanation:

$70-40%=28.00

70-28=42

Answer:

2

Step-by-step explanation:

because the tree you must have more red balls than blue

[tex]\large\underline{\sf{Solution-}}[/tex]

First equation is

[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]

can be further simplified to

[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]

[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]

[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]

[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]

[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]

[tex]\rm \longmapsto\:bx = 2ay[/tex]

[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]

Second equation is

[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]

[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]

[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]

[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]

So, we have two equations in simplest form as

[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]

and

[tex]\rm \longmapsto\:x + aby = 10b[/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]

[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]

[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.