the length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s. when the length is 11 cm and the width is 9 cm, how fast is the area of the rectangle increasing (in cm2/s)?

Answer:

Kelsey ran 100 meters in 228.5 seconds.

Step-by-step explanation:

To find the answer, first find out how many seconds it takes for her to run 1 meter.

91.4/40=2.285

Now, multiply that by 100.

228.5

Kelsey ran 100 meters in 228.5 seconds.

Answer:

140,000

Step-by-step explanation:

math just times and for the 1/⁵ is 16

The problem is in the parenthesis

Explaination: plus and minus is minus. That means -0.46-0.54=-1.

If Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. Then after 14 weeks Megan and Connor have saved the same amount.

Two or more expressions with an equal sign is called as equation.

Let  x=the number of weeks

For Megan we have:

50+5.5x

For Connor we have:

18.50+7.75x

Let us equate Megan's and Connor to have same amount.

50+5.5x=18.50+7.75x

Let us take variables on one side and numbers on other side.

50-18.50=7.75x-5.5x

31.5=2.25x

Divide both sides by 2.25

x=14

Hence after 14 weeks Megan and Connor have saved the same amount.

To learn more on Equations click:

https://brainly.com/question/10413253

#SPJ1

Answer:

9

Step-by-step explanation:

15-2*3

15-6

9

Jesus loves u hope it helps

Step-by-step explanation:

that means "calculate the result with these values".

the expression is

15 - ab

or

15 - a×b

for a = 2, b = 3 this gives us

15 - 2×3 = 15 - 6 = 9

The inequality that represents the values of x that ensure the triangle ABC exists is 0.5 < x < 7.5

Inequality is a term used in mathematics to represent a relation that makes an unequal comparison between two functions.

As the lengths of the sides of the triangle are 6.5 units, 3.5 units, and 2.5 + x units, we can use the property which states that the sum of two sides of the triangle is always greater than the third side, therefore;

6.5 + 3.5 > 2.5 + x

10 > 2.5 + x

10 - 2.5 > x

x < 7.5

Now we use the property which states that the difference between two sides of the triangle is always less than the third side of that triangle as follows;

6.5 - 3.5 < 2.5 + x

3 < 2.5 + x

3 - 2.5 < x

0.5 < x

Now we combine both values as follows;

0.5 < x < 7.5

Therefore the inequality that represents the values of x is 0.5 < x < 7.5

To learn more about inequality, click here:

https://brainly.com/question/22312773

#SPJ4

The given the initial equation

we can determine the part of the graph to be shaded if the equation changes to the inequality:

If we make y the subject of the formula, such that

Then we can put in the values of x and y at (0,0)

so that

we can see that the expression is false because 0 is not greater than 1

Hence, we will shade away from the origin this means that we will shade above the line

The graph is shown below

So for question B

We will shade above the line

Question C

The points on the line are not included because the inequality does not include an equal sign

Using point-slope form, the equation is [tex]y+7=-\frac{4}{3}(x-3)[/tex].

Answer:

y = - [tex]\frac{4}{3}[/tex] x - 3

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 )

here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

to find c substitute (3, - 7 ) into the partial equation

- 7 = - 4 + c ⇒ c = - 7 + 4 = - 3

y = - [tex]\frac{4}{3}[/tex] x - 3 ← equation of line

The polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3

The quadrilateral is a plane that has four sides.

The sides of the quadrilateral are

3x-2, 2x+1, 5x-2 and 2x

The perimeter of the quadrilateral is the sum of all the sides of quadrilateral

The perimeter of the quadrilateral = 3x-2 + 2x+1 + 5x-2 + 2x

Rearrange the terms and add or subtract the like terms

= 3x + 2x + 5x + 2x -2 + 1 - 2

= (3+2+5+2)x - 2+1-2

= 12x - 3

Hence, the polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3

Learn more about perimeter here

brainly.com/question/21583415

#SPJ1

The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.

The volume of the sphere is calculated as:

= 4/3 πr³

where r = radius

The volume of sphere A will be:

= 4/3 πr³

= 4/3 × π × 4³

= 85.3π

The volume for sphere B will be:

= 4/3 πr³

= 4/3 × π × (6/2)³

= 4/3 × π × 3³

= 36π

The volume for C is given as 64π.

The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6

= 4/3 πr³

= 4/3 × π × 6³

= 288π

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

Ok, so

The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.

Answer:

8.13=3b

Step-by-step explanation:

8 13 is the total cost and the bags of oranges are three.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 0\:\; or \:\: x = -7 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} + 7x = 0 [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}(x + 7) = 0 [/tex]

There are two cases now,

Case 1 :

[tex]\qquad\displaystyle \tt \rightarrow \: x = 0[/tex]

Case 2 :

[tex]\qquad\displaystyle \tt \rightarrow \: x + 7 = 0[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = - 7[/tex]

So, the possible values of x are :

[tex]\qquad\displaystyle \tt \rightarrow \: 0 \: \: and \: \: - 7[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]x=0, \quad x=-7[/tex]

Step-by-step explanation:

Given equation:

[tex]x^2+7x=0[/tex]

Factor x from the left side of the equation:

[tex]\implies x(x+7)=0[/tex]

Using the Zero Product Property, set each factor equal to zero and solve for x:

[tex]\implies x=0[/tex]

[tex]\implies x+7=0 \implies x=-7[/tex]

Therefore, the solutions of the equation are:

[tex]x=0, \quad x=-7[/tex]

Zero Product Property: If a⋅b = 0 then either a = 0 or b = 0 (or both).

Answer:

£20 note, £5 note, 50p,50p,50p, 5p

Step-by-step explanation:

Liam buys some fruit for £26.55 by paying 2 notes of £20 and £5 and 3 coins of 50 cent and one coin of 5 cent.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Liam buys some fruit for £26.55.

He pays the exact amount using two notes and four coins.

So, possible notes are £1, £5, £10 and £20.

And the possible coins are 1¢, 5¢, 10¢, 25¢, 50¢, and £1.

So, through trial and error,

we get notes of £20 and £5.

And the coins are three coins of 50 cent and 1 coin of 5 cent.

The total amount = adding the amount of notes and coins.

£26.55 =  £20 + £5 + 3(50¢) + 5¢

Therefore, notes of £20 and £5 and the coins are three coins of 50 cent and 1 coin of 5 cent, Liam used.

To learn more about the addition;

brainly.com/question/29464370

#SPJ2

Answer:

y = (1/2)x + (3/2)

Step-by-step explanation:

(-5, -1), (-1, 1)

(x₁, y₁)  (x₂, y₂)

        y₂ - y₁         1 - (-1)          1 + 1            2            1

m = ------------- = ----------- = ------------ = --------- = --------

        x₂ - x₁        -1 - (-5)        -1 + 5           4            2

y - y₁ = m(x - x₁)

y - (-1) = (1/2)(x - (-5))

y + 1 = (1/2)(x + 5)

y + 1 = (1/2)x + (5/2)

    -1                 -1

---------------------------------

y = (1/2)x + (3/2)

I hope this helps!

The percentage of students in Brookland Middle School who are attending seventh grade is 54.54%

What is percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it. A% is a number that has no dimensions and is dimensionless (pure).

We know that, to get the value of percentage we have to divide the value for which percentage needs to be calculated by total value and then multiply the resultant by 100.

So, we will divide the number of student in seventh class by the total number of student and then multiply it with 100.

(750/1375)100 = 54.54 %

Therefore, percentage of students attending Brookland Middle School are in seventh grade is 54.54%.

To know more about percentage, go to link

https://brainly.com/question/24877689

#SPJ13

Answer:

−9 < x < −1

Step-by-step explanation:

a) Let's find the critical points of the inequality.

x^2 + 10x + 9 = 0

(x + 1)(x + 9) = 0

x + 1 = 0 or x + 9 = 0

x = −1 or x = −9

x < −9 (Wrong)

−9 < x < −1 (Correct)

x > −1 (Wrong)

Your answer is −9 < x < −1

multiplication tables from 2 to 20

table of 2

2 x 1 = 2      

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

2 x 6 = 12

2 x 7 = 14

2 x 8 = 16

2 x 9 = 18

2 x 10 = 20

table of 3

3 x 1 = 3

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12

3 x 5 = 15

3 x 6 = 18

3 x 7 = 21

3 x 8 = 24

3 x 9 = 27

3 x 10 = 30

table of 4

4 X 1 = 4

4 X 2 = 8

4 X 3 = 12

4 X 4 = 16

4 X 5 = 20

4 X 6 = 24

4 X 7 = 28

4 X 8 = 32

4 X 9 = 36

4 X 10 = 40

table of 5

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5 x 8 = 40

5 x 9 = 45

5 x 10 = 50

table of 6

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

6 x 4 = 24

6 x 5 = 30

6 x 6 = 36

6 x 7 = 42

6 x 8 = 48

6 x 9 = 54

6 x 10 = 60

table of 7

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

7 x 4 = 28

7 x 5 = 35

7 x 6 = 42

7 x 7 = 49

7 x 8 = 56

7 x 9 = 63

7 x 10 = 70

table of 8

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

8 x 8 = 64

8 x 9 = 72

8 x 10 = 80

table of 9

9 x 1 = 9

9 x 2 = 18

9 x 3 = 27

9 x 4 = 36

9 x 5 = 45

9 x 6 = 54

9 x 7 = 63

9 x 8 = 72

9 x 9 = 81

9 x 10 = 90

table of 10

10 x 1 = 10

10 x 2 = 20

10 x 3 = 30

10 x 4 = 40

10 x 5 = 50

10 x 6 = 60

10 x 7 = 70

10 x 8 = 80

10 x 9 = 90

10 x 10 = 100

table of 11

11 x 1 = 11

11 x 2 = 22

11 x 3 = 33

11 x 4 = 44

11 x 5 = 55

11 x 6 = 66

11 x 7 = 77

11 x 8 = 88

11 x 9 = 99

11 x 10 = 110

table of 12

12 x 1 = 12

12 x 2 = 24

12 x 3 = 36

12 x 4 = 48

12 x 5 = 60

12 x 6 = 72

12 x 7 = 84

12 x 8 = 96

12 x 9 = 108

12 x 10 = 120

table of 13

13 x 1 = 13

13 x 2 = 26

13 x 3 = 39

13 x 4 = 52

13 x 5 = 65

13 x 6 = 78

13 x 7 = 91

13 x 8 = 104

13 x 9 = 117

13 x 10 = 130

table of 14

14 x 1 = 14

14 x 2 = 28

14 x 3 = 42

14 x 4 = 56

14 x 5 = 70

14 x 6 = 84

14 x 7 = 98

14 x 8 = 112

14 x 9 = 126

14 x 10 = 140

table of 15

15 x 1 = 15

15 x 2 = 30

15 x 3 = 45

15 x 4 = 60

15 x 5 = 75

15 x 6 = 90

15 x 7 = 105

15 x 8 = 120

15 x 9 = 135

15 x 10 = 150

table of 16

16    X 1 = 16

16 X 2 = 32

16 X 3 = 48

16 X 4 = 64

16 X 5 = 80

16 X 6 = 96

16 X 7 = 112

16 X 8 = 128

16 X 9 = 144

16 X 10 = 160

table of 17

17 x 1 = 17

17 x 2 = 34

17 x 3 = 51

17 x 4 = 68

17 x 5 = 85

17 x 6 = 102

17 x 7 = 119

17 x 8 = 136

17 x 9 = 153

17 x 10 = 170

table of 18

18 x 1 = 18

18 x 2 = 36

18 x 3 = 54

18 x 4 = 72

18 x 5 = 90

18 x 6 = 108

18 x 7 = 126

18 x 8 = 144

18 x 9 = 162

18 x 10 = 180

table of 19

19 x 1 = 19

19 x 2 = 38

19 x 3 = 57

19 x 4 = 76

19 x 5 = 95

19 x 6 = 114

19 x 7 = 133

19 x 8 = 152

19 x 9 = 171

19 x 10 = 190

table of 20

20 * 1=20

20*2=40

20*3=60

20*4=80

20*5=100

20*6=120

20*7=140

20*8=160

20*9=180

20*10=200

what is the use of multiplication chart?

A grid including all the times tables is plainly displayed on a multiplication chart. It's a useful tool for remembering multiplication facts. Make a chart of the math multiplication tables and use it for calculations or daily reading. This will aid in your memorization.

to learn more about multiplication chart refer to:

https://brainly.com/question/12617401

#SPJ13

The condition is fulfilled, Law of syllogism is applied here.

What's the Law of syllogism ?

The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c

Given:

If I'm a student, then I go to school. If I go to school, then I learn

Conclusion:

If I'm a student, then I learn.

So, the Conclusion is correct and follows law of syllogism as If I'm a student then definitely i learn as i will go to school to learn according to the statement.

Therefore, the hypothesis have to be true.

Hence, the condition is fulfilled, Law of syllogism is applied here.

Learn more about Law of Detachment/ syllogism here:

brainly.com/question/13966470

#SPJ1

Answer:

X is 9

Step-by-step explanation:

Answer:

On the smaller figure the measures of it are 6 and 3. On the large figure one of the measures is 18. The number 6 and 18 are congruent, and 6 has be tripled in size, so in order to finding the missing measurement, you will simply triple the 3:

3 times 3 = 9

The missing measure is 9.

Step-by-step explanation:

Hope it helps! =D

Answer:

Isosceles

Isosceles triangles have 2 side the same length and one side different

Answer:

your answer is 3.3

Step-by-step explanation:

The data in the question will be represented by a geometric sequence given by 3 (2) ⁿ⁻¹.

A geometric sequence is defined as the sequence in which the ratio between the consecutive terms of the sequence remains constant. The ratio is known as common ratio. The nth term of geometric sequence is written as a (r)ⁿ⁻¹ where a is the first term, r is the common ratio and n is the number of terms. We know from the question that the time in minutes Aurora takes to complete the task forms a sequence as 3, 6, 12, 24.....

The common ratio of this sequence is given by 6/3 = 2. The first term being equal to 3. Now, for the nth term the sequence will be represented as

a (r)ⁿ⁻¹

=> 3 (2)ⁿ⁻¹

Learn more about Geometric Sequence at:

brainly.com/question/25433204

#SPJ1

Answer:

Step-by-step explanation:

lol i poopeed

Hey there!

[tex]x+ay=b\\[/tex] for y

Add -x to both sides:

[tex]ay+x+-x=b+-x\\ay=b-x[/tex]

Now, let's divide both sides by a:

[tex]\frac{ay}{a} =\frac{b-x}{a}[/tex]

[tex]y=\frac{b-x}{a}[/tex]

Hope this helps!