The length of a rectangle is 9 inches more than the width. The perimeter of the rectangle can be
no more than 63 inches. What is the maximum width?

Answer:

729

Step-by-step explanation:

You are multiplying 3 each time. The first 4 terms are given to you:

Term 1: 9

Term 2: 9 x 3 = 27

Term 3: 27 x 3 = 81

Term 4: 81 x 3 = 243

Term 5: 243 x 3 = 729

729 is the 5th term of the geometric sequence.

Answer:

729

Step-by-step explanation:

Each terms are multiplied by 3.

So the 5th term is 243*3 = 729.

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Answer:

H = cg The number of calories to melt one gram is the constant of proportionality. Heat = calories(mass) Write as y = kx, where k is the constant of proportionality → H = cg → c is the constant of proportionality

Step-by-step explanation:

Answer:

1/2(x+5) ^2 +2=42.5

Subtract 2 from both sides of the equation.

1/2(x+5) ^2 +2 -2=42.5-2

Subtracting 2 from itself leaves 0.

1/2(x+5) ^2 =42.5-2

Subtract 2 from 42.5.

1/2(x+5) ^2 =40.5

Multiply both sides by 2.

1/2(1/2(x+5) ^2 =(40.5)1/2

(x+5) ^2 =81

Take the square root of both sides of the equation.

x+5=9

x+5=−9

Subtract 5 from both sides of the equation.

x+5−5=9−5

x+5−5=−9−5

Subtracting 5 from itself leaves 0.

x=9−5

x=−9−5

Subtract 5 from 9.

x=4

Subtract 5 from −9.

x=−14

The equation is now solved.

x=4

x=−14

Answer:

see explanation

Step-by-step explanation:

the x- intercepts are the values of x where the graph crosses the x- axis

these occur at x = - 2 and x = 2

then x- intercepts are x = - 2 , x = 2

the y- intercept is the value of y where the graph crosses the y- axis

this occurs at y = 4

then y- intercept is 4

x intercept of a graph is the point(s) of the graph that intersects x-axis , y intercept of a graph is the point(s) of the graph that intersects y-axis .

x and y intersepts vary from graph to graph , a graph may have various x and y intersepts , a graph may have one x and y intersepts , or may don't have none of them , or may have only one of the intersepts

_______________________

In this graph

there are two x intersepts and one y intersept

x intersepts :

( 2 , 0 )

( -2 , 0 )

y intersept :

( 0 , 4 )

Answer:

(a) No. of daisies=15-6

                      =9

Flowers:Daisies

         15:9

(b) Roses:Daisies

             6:9

             2:3

#roses_are_rosie:))

Answer:

a) 15 : 9

b) 2 : 3

Step-by-step explanation:

Total flowers: 15

Roses: 6

Daisies: 15 - 6

= 9

a) Ratio of all flowers to daisies:

> 15 : 9

b) Ratio of roses to daisies:

> 6 : 9

> 2 : 3 (simplified)

\(5\dfrac 23 + 4\dfrac 12\\\\\\=5+ \dfrac 23 + 4 + \dfrac 12\\\\\\=9 + \dfrac 23 + \dfrac 12\\\\\\=9+ \dfrac 76 \\\\\\=\dfrac{61}6\\\\\\=10\dfrac 16\)

Answer:

\( \displaystyle{5 \frac{2}{3} + 4 \frac{1}{2} }\)

\(\displaystyle{ \frac{17}{3} + \frac{9}{2} }\)

\(\displaystyle{ \frac{17 \times 2 + 9 \times 3}{6} }\)

\(\displaystyle{ \frac{34 + 27}{6} }\)

\(\displaystyle{ \frac{61}{6} }\)

\(\displaystyle{10 \frac{1}{6} }\)

Answer:

( 2 , − 5 )

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

Answer:

24 : 15 : 20

Step-by-step explanation:

express ratios in fractional form and express b and c in terms of a

\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )

8b = 5a ( divide both sides by 8 )

b = \(\frac{5}{8}\) a

also

\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )

3c = 4b ( divide both sides by 3 )

c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a

Then

a : b : c

= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )

= 24a : 15a : 20a ( divide each part by a )

= 24 : 15 : 20 ← in simplest form

Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.

The equation of a line in the point-slope form is given by the following equation:

y-y_1 = m(x-x_1)

where m is the slope of the line and (x1, y1) is any point on the line.

Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:

y-5 = 7(x-1)

Expanding the right-hand side of the equation gives:

y-5 = 7x-7

Adding 5 to both sides of the equation gives:

y = 7x-2

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Answer:

\(x = 120 \times \cos(45) - 0 = 120 \times 0.7 = 84 \\ y = 120 \times \sin(45) - 150 = 84 - 150 = 64\)

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

The given expression is

We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.

Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.

Now let's group terms which have the same variables.

We can see that there are two groups:

Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.

If we put the groups back together into the expression,

We can see that . So (D) is the answer. Hope this helped.

Step-by-step explanation:

6a(a^2 −3b)

6a^3 −18ab

Factor out 6.

6(a^3 −3ab)

Consider a^3 −3ab. Factor out a.

a(a^2 −3b)

Rewrite the complete factored expression.

6a(a^2 −3b)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

4 < w

8 > w

The greater than sign would have a line under it.

Step-by-step explanation:

Answer: y ≥ (5/4)x - 1, where x represents the number of iPhones sold and y represents the number of Androids sold.

Step-by-step explanation:

Answer:

4 5/8

Step-by-step explanation:

Rewriting our equation with parts separated

=4+12+18

Solving the fraction parts

12+18=?

Find the LCD of 1/2 and 1/8 and rewrite to solve with the equivalent fractions.

LCD = 8

48+18=58

Combining the whole and fraction parts

4+58=458

Answer:

36 is answer

Step-by-step explanation:

36 - 36 is equal to 0

Answer: SOrry no answer im just dumb :( but lonely so hear me out. ( if u dont care just earse it )

Step-by-step explanation:

Ok I don't have any friends but I have dated a boy, he was my first bf and he broke up with me bc i text him for 7 days bc don't  have a phone and ye he broke up with me bc of that anywayss he told me he missed me and I was so stupid that I said why are u telling me this is you broke up wit me ? rightt and then 2 moths later I stared to miss him :(( i told him that I miss him but I didn't want him back but all he said was that wen did u start cathcing feeling for me? and how did u start catching feelings? and blah blah blah. soo yeah i texted him and he just leaves me on delivered even wen can see that hes active like idk just sad :(( (sorry for telling you this. its cs idk just sadddd :(((((  )

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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Answer:

You can combine the powers and bases to get 36c^9

Step-by-step explanation:

12*3=36

Rule of exponents= n^m*m^n is (n*m)^m+n

Hope this helps.

The amount of paper required to make the model is 94.2 square cm

The given parameters in the question are

Slant height = 7 cm

Diameter = 6 cm

This means that

Radius = Diameter/2 = 6 cm/2

So, we have

Radius = 3 cm

The amount of paper required to make the model is then calculated as

A = πr(r + l)

So, we have

A = 3.14 * 3 * (3 + 7)

Evaluate

A = 94.2

Hence, the amount needed is 94.2 square cm

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The given statement about to develop mode2 , one should ask what -is questions about you have learned in different situation is false.

As given in the question,

Therefore, to develop mode2 represents the that you have just learned various different situations is a false statement.

The above question is incomplete, the complete question is:

To develop Mode 2, you should ask what-if questions about ways to use what you have just learned in several different situations.

 A. True

 B. False

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Answer:

26.8 % discount

Step-by-step explanation:

Original price    299.99 + 110 = 409.99

discount calculation    110 / 409.99   x 100% = 26.8% discount

Option (a) is the correct answer. When two figures are similar, it means they have the same shape but different sizes.

How to solve the question?

In other words, their corresponding angles are congruent, and their corresponding side lengths are proportional.

Option (b) and (d) suggest that the corresponding side lengths of A and B are related by a constant factor (either 2 or 1/2). However, this is not necessarily true for all similar figures. The constant of proportionality can be any positive real number.

Option (c) suggests that the corresponding side lengths of A and B are equal, which means that A and B are not just similar but congruent. This is not necessarily true for all similar figures, as similar figures can differ in size.

Therefore, option (a) is the only answer that must always be true for similar figures. The corresponding side lengths of similar figures are proportional, which means that if one side of figure A is twice as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 2:1. Similarly, if one side of figure A is three times as long as a corresponding side of figure B, then all other corresponding sides will also be in the same ratio of 3:1. This proportional relationship holds true for all pairs of corresponding sides in similar figures

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Option (a) is the correct answer.  The corresponding side lengths of A and B are proportional, must always be true if Figure A is similar to Figure B.

When two figures are similar, their corresponding angles are congruent, and their corresponding side lengths are proportional. This means that if we take any two corresponding sides of the figures, the ratio of their lengths will be the same for all pairs of corresponding sides.

Option b and d cannot be true, as they both suggest a specific ratio of corresponding side lengths, which is not necessarily true for all similar figures.

Option c is not necessarily true, as two similar figures can have corresponding side lengths that are not equal but still have the same ratio.

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Using the least common multiple of 19 and 18, the smallest number that could be in the group is 342

To find the smallest number of people that could be in the group, we need to find the least common multiple (LCM) of 19 and 18. The LCM is the smallest positive integer that is divisible by both 19 and 18.

The prime factorization of 19 is 19 (since 19 is a prime number), and the prime factorization of 18 is 2 * 3^2.

To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM = 2 * 3² * 19

LCM = 2 * 9 * 19

LCM = 342

Therefore, the smallest number of people that could be in the group is 342.

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the trader sell 36 mangos.

so she has 44 mangos with her.

44÷88=0.55

0.55×100%=55%