What’s the area of 36 square meters perimeter of 30 meters what’s the width and length of those?

Answers

Answer 1

To find the width and length of a rectangle given an area of 36 square meters and a perimeter of 30 meters, a system of equations can be set up and solved, showing the rectangle could have dimensions 9m x 4m or 4m x 9m.

To find the width and length of a rectangle with a known area and perimeter, we can use the following formulas: Area = length x width and Perimeter = 2(length + width). We know the area is 36 square meters and the perimeter is 30 meters. Let's denote the length as L and the width as W. Therefore, our system of equations will be:

L x W = 36

2(L + W) = 30

Dividing the perimeter equation by 2 gives us L + W = 15. We can express the width in terms of the length using this equation: W = 15 - L. Now we can substitute this expression for W into the area equation: L x (15 - L) = 36. Expanding this gives us a quadratic equation: [tex]L^2[/tex] - 15L + 36 = 0. We can solve this equation for L to find possible values for the length.

To find the length L, we look for factors of 36 that add up to 15. It turns out that 9 and 4 are such factors, so our lengths are 9 meters and 4 meters. We then use the expressions for W to find that W is 4 meters if L is 9 meters, and W is 9 meters if L is 4 meters. Hence, the rectangle could have dimensions 9m x 4m or 4m x 9m.


Related Questions

Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?

Answers

Answer:

Equation of a line that models y is:

y=40-15x

Step-by-step explanation:

Dudley wants to cover 40 miles.

If he travels 30 miles every 2 hours

in 2 hours he covers 30 miles

i.e. 1 hour he covers 15 miles

Miles he is left with after 1 hour=40-15

Miles he is left with after 2 hours=40-15-15=40-15×2

Miles he is left with after x hours of biking=40-15x

If y represents the number of miles he has left to travel, after biking x hours

then, y=40-15x

Hence,  equation of a line that models y is:

y=40-15x

Answer:

It is y = -15x + 40

Step-by-step explanation:

in a typical wimbledon,42,000 balls are used and 650 matches are played.about how many balls are used per match

Answers

about 65 balls per match

divide number of balls by number of matches

42,000 / 650 = 64.615 = 65 balls per match

a store has all board games on sale for 25% off the regular price. a checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the clearance price of the checker set?

Answers

We'll need to find out 40% of 12 then subtract that amount because we're still paying 60% of the original price.

Change the percent to a decimal: 0.4
Multiply the sale price and the decimal
12 · 0.4 = 4.8

Subtract 40% of the price from 12
12 - 4.8 = 7.2
The clearance price of the checker set is $7.20

The clearance price of the checker set will be $9.6.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

A store has all tabletop games on special for 25% off the standard cost. A checker set has a deal cost of $12.

Then the regular price of the board games is given as,

⇒ $12 / (1 - 0.25)

⇒ $12 / 0.75

⇒ $16

It is then moved to a leeway table where each thing is limited to 40% off its normal cost.

Then the clearance price of the checker set will be given as,

⇒ (1 - 0.40) x $16

⇒ 0.60 x $16

⇒ $9.6

The freedom cost of the checker set will be $9.6.

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Which equation shows y=34x−52 in standard form?

a. 3x−4y=−10

b. 3x−4y=10

c. 4x−3y=10

d. 4x−3y=−10

Answers

The answer is C....

Hope this helps

What's method 2 and what is the unit rate per guest?

Answers

Seeing your method 1 answer, it seems like you forgot that 42 dollars is for 6 guests, not just 1. The unit rate is the rate per guest, and if we divide 42 by 6, we get 7dollars/1person as our unit rate. Since 7 dollars is our unit rate, we can multiply that by 72 to get 504 dollars, therefore making 500$ per night more cost effective.

Another way to do this is to do 42*72, as you did, but then dividing the final product by 6 due to that 42*72 is for 72*6=432 guests (we get the 6 since the unit rate is 7$ per person and 42/7=6). Doing that, we get 3024/6=504, which is still greater than 500

a. what is the height of the diving board
b. what is the maximum height of the diver
c. describe where the diver is ascending and where the diver is descending

Answers

the answer is B because you have to find f(x) which is the height of the diver & that's what you would need to find out

Ms. Posillico shoes are in ratio of 6:2:3:4; Wedges, Stilettos, Sneakers, Sandals respectfully. She owns 18 pairs of wedges. How many pairs of shoes does she own? (Show your work)

Answers

6:2:3:4

 for every 6 pairs of wedges she owns 2 Stillettos, 3 sneakers and 4 sandals

18/6 =3

3*2 =6 stilettos

3*3 = 9 sneakers

3*4 =12 sandals

18 + 6 + 9 + 12 = 45 pairs of shoes

Final answer:

Given the ratio 6:2:3:4 for different types of shoes and 18 pairs of wedges, we first find the value of one unit in the ratio by dividing 18 by 6, which equals 3. Multiplying each part of the ratio by 3 gives us the total for each type, and adding those up gives us 45 pairs of shoes in total.

Explanation:

The question asks us to determine the total number of pairs of shoes Ms. Posillico owns based on the given ratio of different types of shoes and the fact that she owns 18 pairs of wedges.

Step-by-step Solution

First, we are given a ratio of 6:2:3:4 for Wedges, Stilettos, Sneakers, and Sandals respectively.

Since we know that there are 18 pairs of wedges, which corresponds to the first number in the ratio (6), we can use this information to find the value of each unit in the ratio.Divide the number of wedges (18) by the ratio number for wedges (6) to find out the value of one unit in the ratio.

Calculate the total number of pairs of shoes by multiplying the number each type of shoe per the given ratio by the value of one unit.

Add up the total pairs for each type of shoes to get the grand total.

Calculation

18 pairs of wedges / 6 = 3 pairs per unit
Then, multiply each part of the ratio by 3 to get:
Wedges: 6 * 3 = 18
Stilettos: 2 * 3 = 6
Sneakers: 3 * 3 = 9
Sandals: 4 * 3 = 12
Add up the total: 18 + 6 + 9 + 12 = 45 pairs of shoes.

Therefore, Ms. Posillico owns 45 pairs of shoes in total.

Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.

How many points was each multiple choice question worth?

Answers

Each multiple choice question would be 5 points. For Louann she got 14 of the questions correct so 5 x 14 = 70 and 70 + 24 would be 94. For Carla she got 16 of the questions correct so 5 x 16 = 80 and 80 + 14 = 94. You're answer would be 5, hopefully this helps :)

2n+5/-3=-1 please help me

Answers

2n+5/-3 = -1
2n+5 = 3
2n = -2
n = -1

Solve the open sentence. –1 ≤ n + 2 ≤ 6

A) n ≥ –3 and n ≤ 4
B) n ≥ 3 and n ≤ –2
C) n ≤ 1 and n ≤ 6
D) n ≤ –3 and n ≤ 2

Answers

1. to solve you subtract 2 on both sides. 
-3 ≤ n ≤ 4 
Sooooo 
The answer would be A!

The solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

Inequalities

From the question,

We are to solve the open sentence –1 ≤ n + 2 ≤ 6

From the given inequality, we can deduce that

–1 ≤ n + 2

Solving for the variable, n

-1 -2 ≤ n

-3 ≤ n

Then,

n ≥ -3

We can also deduce that,

n + 2 ≤ 6

Solve for n by collecting like terms

n ≤ 6 -2

n ≤ 4

Hence, the solution to the given open sentence is n ≥ –3 and n ≤ 4. The correct option is A) n ≥ –3 and n ≤ 4

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Put it in Least to greatest 1/3, 1 and 1/4, 0.27,1.35
A. 1/3,0.27,1 and 1/4, 1.35
B.1/3,0.27,1.35,1 and 1/4
C.0.27, 1/3,1.35, 1 and 1/4
D.0.27, 1/3 , 1 and 1/4, 1.35

Answers

Your best bet may be to modify (convert) each number so that the denominator is the same (find the LCD and use it).

1/3, 1 and 1/4, 0.27,1.35     has two decimal fractions, and it should be obvious which one is greater than the other.

Generally, it's easier to convert a proper fraction to a decimal fraction than to do the opposite.  Thus, convert 1/3 to a decimal fraction by division (use your calculator if need be):  1/3 = 0.33333 (repeating decimal).  Convert 1 1/4 to 1.25.

Now you have four numbers that are all in decimal fraction form:  0.33333, 1.25, 0.27, 1.35.  Which of these four is the smallest?  Right:  0.27.  Next?  0.33333.  Next? 1.25.  Last?  1.35.


Answer:0.27, 0.33333, 1.25,  1.35?

Step-by-step explanation: hope it helps some one?!

what is 7 over (fraction bar) (8×4)+90÷9 ÷ (6^3)^-2 × 9 over (fraction bar) 6(5+4) = ?????

Answers

The answer is:  " 36 " .
_______________________________
Note:  " (8 * 4) + 90 ÷ 9 " =  " (8 * 4) + (90 ÷ 9) " = "32 + 10 = 42" .

We can rewrite the "fraction":
 
7 / [ (8 * 4) + 90 ÷ 9 ] ;  as:  [tex] \frac{7}{42}[/tex] ;  

and can reduce this value to (and rewrite as):  " [tex] \frac{1}{6}[/tex] " ; 
    { since:  " [tex] \frac{7}{42}[/tex]  =  [tex] \frac{7/7}{42/7} [/tex]  = [tex] \frac{1}{6}[/tex]" .}.

Note:  The "fraction" : [tex] \frac{9}{6(5+4)} [/tex] ;  the "9/6" cancel to "3/2" ; 
  {Since:  "9÷3 = 3" ; and since:  "6÷3 = 2" ).

So rewrite:  [tex] \frac{9}{6(5+4)} [/tex] ; as:  

[tex] \frac{3}{2(5+4)} [/tex] ;

Note:  [tex] \frac{3}{2(5+4)} [/tex]  ;

       =   [tex] \frac{3}{2(9)} [/tex] ;

       =   [tex] \frac{3}{18} [/tex] ;

→  Note:   [tex] \frac{3}{18} [/tex] ;  can be reduced to; & rewritten as:

             " [tex] \frac{1}{6} [/tex] " ;

→ {since: " [tex] \frac{3}{18} [/tex] =  [tex] \frac{3/3}{18/3} [/tex] ;
               
                                                      =   [tex] \frac{1}{6} [/tex] ;
______________________________

Note that: (6²) ⁻² = 6⁽ ² * ⁻²⁾ = 6⁻ ⁴  ;
    
                            =  [tex] \frac{1}{6^4} [/tex] ;
_________________________________________________________
So, we can rewrite our expression as:

 [tex] \frac{1}{6}[/tex]  ÷  [tex] \frac{1}{6^4} [/tex]  *  [tex] \frac{1}{6}[/tex] ;
_________________________________________________________
Note:  
_________________________________________________________
 [tex] \frac{1}{6}[/tex]  ÷  [tex] \frac{1}{6^4} [/tex]  *  [tex] \frac{1}{6}[/tex] ;

= ( [tex] \frac{1}{6}[/tex]  ÷  [tex] \frac{1}{6^4} [/tex] ) *  [tex] \frac{1}{6}[/tex] ; 

= ( [tex] \frac{1}{6}[/tex]  *   [tex] \frac{6^4}{1} [/tex] ) *  [tex] \frac{1}{6}[/tex] ;

________________________________________________________
Start with :
________________________________________________________
   → ( [tex] \frac{1}{6}[/tex]  *   [tex] \frac{6^4}{1} [/tex] ) ;

            The "6" in  the  " [tex] \frac{1}{6}[/tex] " ;  cancels to a "1" ; 
       and the "6⁴ " in the "  [tex] \frac{6^4}{1} [/tex] ) " ; cancels to a "6³ " ;

         → {Since:  "6⁴ / 6  =  6⁴ / 6¹  =  6⁽⁴ ⁻ ¹⁾  = 6³ ;

         → and we have:   [tex] \frac{1}{1}[/tex]  *  [tex] \frac{6^3}{1} [/tex] ;
 
         →  The " [tex] \frac{1}{1}[/tex] " can be eliminated; since "1÷1= 1 " ;
               and since: any value, divided by "1", equal that same value; & since "any                       value, multiplied by "1"; equals that same value" ;
________________________________________________________
 We have:  " 6³ " .
________________________________________________________

Now, we multiplied this value, " 6³ " , by  " [tex] \frac{1}{6}[/tex] " ;

→  6³  *  [tex] \frac{1}{6}[/tex]  ;

     =  [tex] \frac{6^3}{1} [/tex] * [tex] \frac{1}{6}[/tex]  ;

Note:  The "6³ " cancels out to "6² " ;  and the "6" cancels out to "1" ; 

          {since:  "6³ ÷ 6 = 6³ ÷ 6¹ = 6⁽³ ⁻ ¹⁾ = 6² " ;
            and since:  "6 ÷ 6 = 1 "  ; ________________________________________________________
→ The answer is:  6² = 6 * 6 = 36 ;
________________________________________________________
The answer is:  " 36 " .
________________________________________________________

Monica earned $60 from a bonus plus $8.50 per hour (h) she worked this week. Which of the following expressions best represents Monica's income for the week?

Answers

Answer: 8.50h+60

The reason is because she earns $8.50 per hour so the variable goes next to 8.50 instead of the 60.

The equation (8.50h + 60) will represent Monica's earnings for the week.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; Monica earned a bonus = $60

Per hour earning in addition to bonus = $8.50

Let she worked for 'h' hours this week.

Then total earning from the hourly rate is $8.50h

The Total earning for the week = Earning of 'h' hours + Bonus earned

= $(8.50h + 60)

Therefore, The equation (8.50h + 60) will represent Monica's earnings for the week.

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a minivan can hold up to 7 people. How many minivans are needed to take 45 people to a basketball game?

Answers

6 minivans are needed to take (i think I'm real bad at math)
7 vans are needed to take everyone because 7*6=42 is not enough but 7*7=49 can hold enough people so all you need to do is round up

hope i helped

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?

Answers

the price is went u add 1,000 by what equal then subtracting 150 equal then u division the two numbers equal.

The correct statement is: "The average number of days the house stayed on the market before being sold for $150,000." So option (a) is correct.

To find the meaning of  f(150) , we need to understand that  f(p) represents the average number of days a house stays on the market before being sold for price ( p ) in $1,000s.

So,  f(150)  represents the average number of days a house stays on the market before being sold for $150,000.

This means the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."

To calculate this, let's say there are ( n ) houses that were sold for $150,000. The total number of days these houses stayed on the market would be the sum of days for each house. Then we divide this sum by (n ) to find the average.

Let's say [tex]\( D_i \)[/tex] is the number of days house [tex]\( i \)[/tex] stayed on the market before being sold for $150,000.

[tex]\[ f(150) = \frac{D_1 + D_2 + \cdots + D_n}{n} \][/tex]

Now, let's illustrate the calculation:

Let's assume 5 houses were sold for $150,000 and their days on market were 120, 140, 160, 180, and 200.

[tex]\[ f(150) = \frac{120 + 140 + 160 + 180 + 200}{5} \][/tex]

[tex]\[ f(150) = \frac{800}{5} = 160 \][/tex]

So, [tex]\( f(150) = 160 \)[/tex] which means the average number of days a house stayed on the market before being sold for $150,000 is 160 days. Therefore, the correct statement is: "The average number of days the house stayed on the market before being sold for $150,000."

Complete Question:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?

a. This is the average number of days the house stayed on the market before being sold for $150,000.

b. The house sold on the market for $150,000 and stayed on the market for an average of 150 days before being sold.

c. The house sold for $150,000.

d. The house stayed on the market for an average of 150 days before being sold.

Can someone help? This makes no sense to me.

Answers

Note the following:
1. A substance solidifies (becomes solid) when its temperature falls below the melting point.
2. A substance becomes liquid when its temperature is higher than the melting point but is lower than the boiling point.
3. A substance becomes gas when its temperature is higher than the boiling point.

Given:
The room temperature is 20°C. This is the temperature of the substance.

Let us identify substances A, B, and C.

Substance A is a solid.
For iodine, 20°C < 110°C (its melting point), iodine is substance A.
Therefore iodine is a solid.

Substance B is a liquid.
For bromine, 20°C > -7.2°C (its melting point), and also 20°C < 59°C (its boiling point).
Therefore bromine is a liquid.

Substance C is a gas.
For chlorine, 20°C > -35°C (its boiling point), therefore chlorine is a gas.

Answer:
Substance A is iodine.
Substance B is bromine.
Substance C is chlorine.

Machine A produces 500 items per hour. Machine B produces 400 items per hour. Working together, the two machines produce 2250 items in t hours. Which equation can be used to find the value of t?

Answers

500 + 400 + 500 + 400 = 1800    400 divided by 2 = 200 and 500 divided by 2 = 250 1800 + 250 + 200 = (((((2250)))))
Final answer:

To find the value of t, set up a proportion using the rates of production for the machines. The equation is (500 + 400)t = 2250. Simplify the equation and solve for t to find that t = 2.5 hours.

Explanation:

To find the value of t, we need to determine how long it takes for the two machines to produce 2250 items together. We can set up a proportion to solve for t using the rates of production for each machine. The proportion is:

(500 + 400)t = 2250

Simplifying the equation, we get:

900t = 2250

Dividing both sides by 900, we find that:

t = 2250/900 = 2.5 hours

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Pete wants a loan of $1,500. Which of these terms describes the money he wants to borrow?

1. (Principal)

2. (Collateral)

3. (Credit)

Answers

 Principal refers to the size of a loan.

So, I believe, the answer would be 1. Principal

I hope this helps!

Principal amount describes the money which he wants to borrow.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Pete wants a loan of $1,500.

Now,

Since, We know that;

The principal amount describe the money to borrowed.

Thus, Principal amount describes the money which he wants to borrow.

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Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin. Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answers

Answer:

The number of servings of gelatin is 48

Step-by-step explanation:

step 1

Find out the number of molds

Divide the number of packages of gelatin (8)  by 1 1/3 to obtain the number of molds

Remember that

[tex]1\frac{1}{3}=\frac{1*3+1}{3}=\frac{4}{3}[/tex]

so

[tex]\frac{8}{(4/3)}=\frac{24}{4}=6\ molds[/tex]

step 2

Find out the number of servings of gelatin

we know that

Each mold can be divided into 6 servings

To obtain the number of servings multiply the number of molds by 6

[tex]8(6)=48[/tex]

therefore

The number of servings of gelatin is 48

Kasey can make 36 servings of gelatin based on the number of packages she has and the amount required for each mould.

This question involves a bit of fraction work. Kasey has 8 packages of gelatin and each mold requires 1 1/3 packages of gelatin. As we need to figure out how many molds can be made, we divide the total number of packages by the amount needed for one mold. This equals 8 ÷ 1 1/3, which equals to 6 molds when converted into an improper fraction.

Subsequently, we understand that each mold can be divided into 6 servings. Therefore, Kasey could make a total of 6 molds x 6 servings which equals 36 servings of gelatin.

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Which of the following numbers is irrational ??please help !!

Answers

it's the first one. since it has a negative sign and when there is a negative sign in the radical its irrational
The answer is:  [C]:   "√3 " .
__________________________________

if 51,829 is rounded to the nearest thousand, how many zeros will the rounded number have?

Answers

51,829 rounded to the nearest thousand would be 52,000. So there will be three zeros in the rounded number.

Final answer:

When the number 51,829 is rounded to the nearest thousand, it becomes 52,000 which has three zeros. The process of rounding helps simplify numbers for easy comprehension and calculation.

Explanation:

The question asks about rounding the number 51,829 to the nearest thousand. Rounding involves increasing or decreasing a number to its closest specific multiple. In this case, the closest thousand to 51,829 is 52,000. The rules of rounding dictate that if the number in the hundreds place is 5 or above, we round up. In 51,829, the number in the hundreds place is 8, which is greater than 5, indicating we should round up from 51,000 to 52,000.

If we check how many zeros 52,000 has, it has three zeros. Thus, the rounded number will have three zeros. It's important to remember that the number of zeros often increases when rounding to larger place values like thousands, ten thousands, etc.

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bob switches cell phone plans from Verizon to Tmobile. the monthly cost of his new plan is half the cost of his old plan, plus he added the iPhone 6s to his new plan which costs an additional $27.50 per month. If Bob's new monthly bill with Tmobile is $70 total(plan and phone), then how much is he saving per month by switching from Verizon to Tmobile? (analyze, equation, solve, check and interpret, conclusion)

Answers

First you need to divide 70 by 2 in order to cut it in half which would give you 35. Then add 27.50 and you get 62.5. Subtract that from 70 and you get 7.50 so he saved $7.50 each month 
Final answer:

Bob is saving $15 every month by switching his mobile phone plan from Verizon to Tmobile.

Explanation:

This question involves understanding and solving a mathematical equation associated to a real-life context, which in this case refers to mobile phone plans and their costs. Using the provided information, we first establish that Bob's plan with Tmobile costs $70 per month, and this includes the cost of his new iPhone 6s which adds an additional $27.50 to his monthly plan.

Based on these numbers, we can uncover the cost of the plan itself (excluding the phone) by subtracting $27.50 from $70, giving us $42.50. This, according to the question, is half the cost of Bob's old Verizon plan. Therefore, to find the total cost of the Verizon plan, we double the cost of the Tmobile plan, resulting in $85 per month.

So, the monthly savings Bob makes by switching from Verizon to Tmobile is the difference between the old Verizon cost ($85) and the new T-mobile cost ($70), which amounts to $15.

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the expression 14.50 X can use to find the total cost for x tickets on family night for Mission and the movie what is the cost for three tickets

Answers

Problem
The expression 14.50x can be used to find the total cost for x tickets. If x = 3, what is the cost?

Result
The cost for 3 tickets is $43.50.

Solution
This works like a regular multiplication problem, so, we'll use multiplication.

x = 3

14.50x = 43.50

how to solve for 5c^2 + 4b + 23 - 15 + 3c^2 + 6b - 8bc

Answers

Combine like terms.

8c^2 + 10b - 8bc + 8

Hope this helps!

the quotient of eight and a number hh is written as

Answers

it would be written as the fraction 8/hh

the 7 in the thousands place is 10 times greater than the 7 in the hundreds place?

the 7 in the thousands place is 100 times greater than the 7 in the hundreds place?

the 7 in the thousands place is 7 times greater than the 7 in the hundreds place?

Answers

The first one is correct. The 7 in the thousands place is 10 times greater than the 7 in the hundreds place.
Final answer:

The 7 in the thousands place is ten times greater than the 7 in the hundreds place, adhering to the base-10 structure of our numbering system; other proposed multipliers are incorrect.

Explanation:

The question explores the concept of place value in our decimal numbering system, which is based on powers of ten. Specifically, it examines the comparative value of digits in the thousands and hundreds places. Using the decimal system, each place value to the left is ten times greater than the one immediately to its right.

The second statement suggesting that the 7 in the thousands place is 100 times greater is incorrect; it overlooks the base-10 structure of our numbering system. Finally, the suggestion that the 7 in the thousands place is 7 times greater is also incorrect, as it misinterprets the multiplicative property of the decimal system. Therefore, the 7 in the thousands place being 10 times, 100 times, or 7 times greater than the 7 in the hundreds place aligns with the concept of powers of 10.

Which integers are greater than -3 and less than 0?

Answers

Integers are whole numbers, both positive and negative. Therefore, all of the positive and negative whole numbers between these two numbers in a set will be your answer:

[tex]{-2, -1}[/tex]

Hope this helped, and have a nice day!
-2 and -1 because negative numbers are the opposite of positive numbers so -2 and -1 are greater than -3 and less than zero.

write a sequence that has three arithmetic means between 35 and 45

Answers

45 - 35  = 10 
so we divide by 4  10/4 = 2.5 
The sequence is  35, 37.5, 40, 42.5, 45

The required sequence is 35, 37.5, 40, 42.5, 45

Given that,
To determine a sequence that has three arithmetic means between 35 and 45.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The difference in the number 45 and 35,
= 45 - 35
= 10
We have to add 3 numbers between 35 to 45
The total number of difference become 4 between the 5 numbers
mean of difference = 10 / 4
                                = 2.5
Now the sequence is given as,
35, 35+2.5, 35+ 2 * 2.5 + 35  + 3 * 2.5 + 45
35, 37.5, 40, 42.5, 45

Thus, the required sequence is 35, 37.5, 40, 42.5, 45

Learn more about arithmetic progression here: https://brainly.com/question/20334860
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15 is 25% of the what number?

Answers

1. Represent percentages as the number divided by 100. So 25% becomes 0.25. 
2. Change the word "is" to "=" 
3. Change the word "of" to a multiplication sign. 

So "15 is 25% of what number" 

becomes 

15 = 0.25x (Where x is the number you are trying to solve for). 

In this simple algebra equation, x = 15/.25 = 60.
Well, because 25% is one quarter, 1/4, you would multiply 15 by 4, as you would multiply 25% by 4 to find 100%. That means your answer is 60.

A formula that approximates​ real-world phenomena is call​ a/an

Answers

It's called mathematical modeling
With mathematical modeling, scientists tried to use structures, equations, graphs, scatterplots, etc in order to explain real world-situation.
By doing this, they hope to find a reduction toward the potential possibilities by finding which data is irrelevant for that situation.
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