if 2cm represents 9m on a scale drawing how many meters do 15 cm represent​

Answer:

(a) P  =  - 200 T + 9,400

(b) After 22  months the student  will owe $5000.

Step-by-step explanation:

Here, the amount loaned out to the student = $9,400

The installment amount of each month  = $200

(a) P : Amount remaining to be paid

    T: time in months

Now, the remaining amount = Actual amount - Amount paid in T months

or,      P = 9,400 - $200 (T)

⇒ P  =  - 200 T + 9,400 ( y = mx + C form)

(b) The remaining amount left = $5000

As we know, P = 9,400 - $200 (T)

⇒ 5,000 = 9,400 - 200 T

⇒200 T = 9,400 - 5,000 = 4,400

⇒ T = 4400/200 =  22

or T = 22 Months

Hence,  After 22  months the student  will owe $5000.

Dimensions of rectangular garden is: length = 39 feet and width = 18 feet

Given that length of the rectangle garden is three more than twice its width.

The perimeter of the garden is 114 feet

Need to determine width of the garden

Let assume width of the garden be represented by variable "x"

=>Twice of the width = [tex]2 \times x = 2x[/tex]

=> 3 more than Twice of the width= 3 + 2x = 2x + 3

As length of the rectangle garden is three more than twice its width ,

=> Length of the rectangle garden = 2x + 3  

Perimeter of the rectangle = 2( length + width)

=> Perimeter of the rectangular garden = 2 (Length of the rectangle garden + width of the garden)

= 2 (2x + 3 + x) = 2 (3x + 3 ) = 6x + 6

=> Perimeter of the rectangular garden = 6x + 6

As it is also given that Perimeter of the rectangular garden = 114 feet

=> 6x + 6 = 114 feet

=> 6x = 114 – 6

x = 18

Width of the garden = x = 18 feet

Length of the garden = = 2x + 3 = 2(18) + 3 = 39 feet

Hence dimensions of rectangular garden is length = 39 feet and width = 18 feet

Answer:

1099.3

Step-by-step explanation:

9 hundreds = 900

9 ones = 9

19 tens = 190

3 tenths = 0.3

Answer:

1099.3

Step-by-step explanation:

9 hundreds          => 900

19 tens                  =>  190

9 ones                  =>      9

3 tenths                 =>       0.3

This number is:           1099.3

Answer:

(a)The cost of per ounce of yogurt = $0.45

(b) The the cost of Reid's bowl = $3.51

Step-by-step explanation:

Here, according to the question :

The cost of 9.2 ounce yogurt bowl = $4 .14

The cost of 8.1 ounce yogurt bowl = $3.65

(a) Now, [tex]\textrm{Cost of 1 ounce of yogurt}  = \frac{\textrm{Price of n ounce of yogurt}}{\textrm{ n}}[/tex]

= [tex]\frac{\textrm{Price of 9.2 ounce of yogurt}}{\textrm{ 9.2}} = \frac{4.14}{9.2}   = 0.45[/tex]

So, the cost of per ounce of yogurt = $0.45

(b) Now, the amount if yogurt in Reid's Bowl =  7.8 ounces

So, the total cost of her bowl  with 7.8 ounce yogurt  = 7.8 x ( cost of 1 ounce of yogurt)

= 7.8 x ( $0.45) = $3.51

So, the the cost of Reid's bowl = $3.51

Answer:

A) $0.45 per oz

B) $3.51

4.14/9.2 = 0.45

0.45 x 7.8 = 3.51

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

1/10 of 850= 85

he spent and additional RS 85 on its repairs

cost price + repairs price =935

he sold it for 1050

to find his gain =1050-935

=115

Answer:

Persian-Maine Coon-American Shorthair

Step-by-step explanation:

If you look back at the question, you will see the numbers 13.65,13.07, and 13.6. So, we'll do this by digits.

The first digit of all the numbers is 1. So we'll move on. The second digit is a3, of which all numbers have in common. So we'll move on again. So now ur down to the digits 6, 0, and 6. Well, 13.07 belongs to the Persian. Then You'll see a 6, which belongs to the Maine coon. Lastly, you have another 6, which goes to the American shorthair. Correct me if i'm wrong :-)

Answer:

I'm pretty sure the answer is 5.2h-2.9d-16

Answer:

46

Step-by-step explanation:

7x+4

7(6)+4

42+4

46

Step-by-step explanation:

7x+4=6

substitute 6 in x

7(6)+4

42+4=46

Answer:

3

Step-by-step explanation:

answer: 74

explanation:

7-3=4

74

+47

---

121

Answer:

Step-by-step explanation:

In a two-digit number we have the unit's digit and the ten's digit. The unit's digit is represented by [tex]u[/tex]. Then ten's digit must be represents with a number 10 as a coefficient, and the variable would be [tex]d[/tex]. So, the numerical vale of the number would be:

[tex]10d+u[/tex]

Also, we know that [tex]d=u+3[/tex], because the unit digit is three less than tens digit, or tens digit is three more units than the unit digit.

Then, the sum of the reversed number and the original number is 121, this would be expressed:

[tex]10d+u+10u+d=121\\11d+11u=121[/tex]

But, we know that [tex]d=u+3[/tex], so, we replace it:

[tex]11(u+3)+11u=121\\11u+33+11u=121\\22u+33=121\\22u=121-33\\u=4[/tex]

Then, if tens digits is 3 more, [tex]d=7[/tex]

Therefore, the digits are 7 and 4. The number would be 74.

Answer:

c

Step-by-step explanation:

Twenty times a square of a positive integer, plus 50 equals negative 40 times the square of the positive integer, plus one-hundred and ten times the positive integer. Which equation could be used to solve for the unknown positive integer.

A) 60x2 + 110x + 50 = 0  

B) 60x2 + 110x − 50 = 0  

C) 60x2 − 110x + 50 = 0  

D) 60x2 − 110x − 50 = 0

The correct equation to solve for the unknown positive integer is 60x^2 - 110x + 50 = 0.

To solve for the unknown positive integer, you'll need to form an equation. Start by writing down the mathematical expressions as given in the equation.

20x^2 + 50 = -40x^2+ 110x based on the statement given. Then, to simplify the equation, combine like terms. To do this, you'll need to move -40x^2 to the left side of the equation and move 50 to the right side of the equation. This gives us: 20x^2 + 40x^2 =  110x - 50. The result is 60x^2 - 110x + 50 = 0. The correct answer is choice C: 60x^2 - 110x + 50 = 0.

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Answer:

4.03

Step-by-step explanation:

Y = kx

y = 24.18

x = 6

k = constant of proportionality

Y =kx

Step 1. Substitute number based on the formula

24.18 = k6

Step 2. Transpose Y to the left to find the ratio of constant proportionality

K = 24.18/6

Step 3. Divide Y over X

K = 4.03 (answer)

Answer:

The answer is C) (6, -2).

Step-by-step explanation:

First, subtract both sides by y in the first equation, to figure out what x is.  

x+y-y=4-y

x=4-y

x is equal to 4-y. Use substitution to plug that in to the second equation for x.

2x-3y=18

2(4-y)-3y=18

Now, solve for y. Expand.

2(4-y)-3y=18

8-2y-3y=18

Combine like terms.

8-2y-3y=18

8-5y=18

To get y by itself, subtract 8 from both sides.

8-8-5y=18-8

-5y=10

Lastly, divide both sides by -5.

-5/-5y=10/-5

y=-2

Since we know that y is equal to -2, we can solve for x in the equation x=4-y.

x=4-y

x=4-(-2)

*Negative & Negative makes a Positive*

x=6

Therefore, your answer is x being equal to 6, and y being equal to -2.

Hope this helped!

Final answer:

To solve the system of linear equations, we first solve one equation for a variable and then substitute it into the other. Through simplification and combination of like terms, we find that the solution is (6, -2), which is option C.

Explanation:

The subject question involves solving a system of linear equations. We are given the first equation, x + y = 4, and the second equation, 2x - 3y = 18. To find the solution, we will use the method of elimination or substitution to solve for the values of x and y.

Step-by-Step Solution

Solve the first equation for y: y = 4 - x.

Substitute y in the second equation: 2x - 3(4 - x) = 18.

Simplify: 2x - 12 + 3x = 18.

Combine like terms: 5x = 30.

Divide by 5: x = 6.

Substitute x in the first equation: 6 + y = 4.

Solve for y: y = -2.

The solution to the system of equations is (6, -2), which corresponds to option C.

Answer:

Median = 46.5

Minimum = 32

Maximum = 62

Lower quartile = 38

Upper quartile = 59

Step-by-step explanation:

Before we can proceed to solving any of these, it is best you arrange your data first from least to greatest

32  34  37  39  41  45  48  53  58  60  61  62

First we have the median. The Median is the middle value. In this case we an even number of data, which is 12 data points. The middle value of the data would be found in between the 6th and 7th data point:

45 and 48

To get the middle value, you need to solve for the value that is in the middle of 45 and 48 by getting the sum of both numbers and dividing it by two.

45 + 48 = 93

93 ÷ 2 = 46.5

The minimum and maximum value is merely the least and greatest number.

Here we have:

Minimum = 32

Maximum = 62

To get the lower and upper quartiles, just remember that quartiles divide the data into 4 equal parts. All you need to do is find the value that is in between each quarters of the data:

            Q1 (Lower)  Q2(Median) Q3(Upper)

32  34  37 |  39  41  45 | 48  53  58 | 60  61  62

Like the median, we will find the value that comes in between each quarter.

Q1

37 + 39 = 76

76 ÷ 2 = 38

Lower quartile = 38

Q3:

58 + 60 = 118

118 ÷ 2 = 59

Upper quartile = 59

Answer:

the person on top has it right ^^^^^^^^^^ did the work and it right thx :))

I'm not 100% sure about part A, but it looks like a regular hexagon is being constructed. Though some marks seem to be missing. Again I'm not fully certain.

But I'm sure about parts B and C.

For part B, this is showing the construction of the perpendicular bisector to segment AB. The perpendicular bisector is perpendicular to the given segment and it cuts the given segment AB in half.

In part C, a line is being constructed to go through point R such that it is parallel to line PQ.

Answer:

√125 + 5 or 16.180

Step-by-step explanation:

√5 · 5 · 5 + √5 · 5

√25 · 5 + √25

√125 + 5 or 16.18

Answer:

$18.20/0.65=28 minutes

Step-by-step explanation:

$18.20 was the cost of the rental divide it by the cost per minute and that will give you the total number of minutes used which is 28.

Answer:

since one mins = 0.65

for 18.20= 18.20/0.65= 28mins

Answer:    -1.75

Step-by-step explanation:

Answer:

-1.75 is the answer ....

Answer:

f=2

Step-by-step explanation:

1.25f+2.75f= 10-2

You must take positive two to the other side to get negative 2. Also, you should take the negative 2.75f to the other side to get positive 2.75f.

4f= 8

f= 2

Answer:

f=2

Step-by-step explanation:

Answer:

Do you have a photo

Step-by-step explanation:

I'll be happy to help

Answer:

34

Step-by-step explanation:

i just know t hat this is th answer

Answer:

Let the worth of the property be x

0.8x/100 = 2068

8x = 2068000

x = 258500 Rs.

Hope this helps!

Answer: 6, 570

Step by step explanation:  If Minnie and Mickey have 5 girls and 5 boys every 3 weeks for 52 weeks this means they will have 17 pregnancies. At the end of one year Minnie and Mickey alone will have produced 170 children. It takes these children 6 weeks to grow up and be ready to reproduce. Every 6 weeks 10 new rats will be able to have children at a rate of 10 per 3 weeks. This means that a single set of 10 offspring will have 100 children every 3 weeks. There will be 8 sets of offspring that can reproduce before the year is over. This means if the sets have 100 children every 3 weeks starting with one set and adding one more set every 6 weeks, at the end of the year the offspring's offspring will total 6,400. 6,400 + 170 will equal 6,570. The total population is 6,570.

Answer: 6 goes into 26 4 times.

Step-by-step explanation:

Because 6 * 10 is 60, we know that it cannot be more than 10.

5 * 6 = 30, so we know it cannot be more than 5.

6 * 4 = 24. Because we cannot add 6 more, we know that 24 is the highest we can go.

Answer:

4 with remainder of 2

Step-by-step explanation:

26/6=4 2/6=4 1/3

The pebble hits the ground approximately 8.88 seconds after it is thrown, based on the given equation for its height.

To find out when the pebble hits the ground, we need to find the time when the height h(t) equals 0.

Given that the height h(t) of the pebble after t seconds is given by the equation:

[tex]\[ h(t) = -16t^2 + 16t + 1400 \][/tex]

We set h(t) to 0 and solve for t:

[tex]\[ -16t^2 + 16t + 1400 = 0 \][/tex]

Now, we can use the quadratic formula to solve for t :

[tex]\[ t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

where a = -16, b = 16, and c = 1400.

Plugging these values into the quadratic formula:

[tex]\[ t = \frac{{-16 \pm \sqrt{{16^2 - 4(-16)(1400)}}}}{{2(-16)}} \]\[ t = \frac{{-16 \pm \sqrt{{256 + 89600}}}}{{-32}} \]\[ t = \frac{{-16 \pm \sqrt{{89856}}}}{{-32}} \]\[ t = \frac{{-16 \pm 300.1}}{{-32}} \][/tex]

We'll ignore the negative solution because time can't be negative in this context. So, we use the positive solution:

[tex]\[ t = \frac{{-16 + 300.1}}{{-32}} \]\[ t = \frac{{284.1}}{{-32}} \]\[ t \approx -8.88 \][/tex]

Since time can't be negative, we discard this solution. The only meaningful solution is when the pebble hits the ground. Thus, the pebble hits the ground approximately 8.88 seconds after it is thrown.

Answer:

They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Step-by-step explanation:

Let us consider sea level as reference and positions above sea level as positive and below sea level as negative.

With respect to this reference,

the position of top most point is +17 [tex]\frac{3}{4}[/tex] yards

and the position of lower most point is -13 [tex]\frac{1}{4}[/tex] yards

⇒ The position of midpoint is [tex]\frac{+17 \frac{3}{4} - 13 \frac{1}{4}}{2}[/tex]

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

∴ They will be picked up at 2 [tex]\frac{1}{4}[/tex] yards above sea level

Answer: Last option.

Step-by-step explanation:

By definition, Inverse variation equations  have this form:

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

Where "k" is the constant of variation.

In this case, it is:

[tex]g(n)=\frac{k}{n}[/tex]

Knowing that [tex]g(n) = 8[/tex] when [tex]n = 3[/tex], we can substitute values into the equation and solve for "k":

[tex]8=\frac{k}{3}\\\\8*3=k\\\\k=24[/tex]

Therefore, we can find the value of "n" when [tex]g(n) = 6[/tex] by substiuting this value and the value of "k" into the equation and solving for "n". Then:

[tex]6=\frac{24}{n}\\\\6n=24\\\\n=\frac{24}{6}\\\\n=4[/tex]

Answer:

OPTION B: y = [tex]$ \frac{1}{2} $[/tex]x - 2

Step-by-step explanation:

To find the equation of the line substitute the value of x and compare the corresponding value of y.

OPTION A:  

y = 2x + 4

Substitute x = 0. We get, 2(0) + 4 = 4

When x = 0, y = -2 [tex]$ \ne $[/tex] 4.

OPTION B:

y = [tex]$ \frac{1}{2} $[/tex]x - 2

Substitute x = 0, we get [tex]$ \frac{1}{2} (0) - 2$[/tex]

= -2

When x = 2, [tex]$ \frac{1}{2}(2) - 2 $[/tex] = 1 - 2

=-1

Similarly, When x = 4, [tex]$ \frac{1}{2}(4) - 2 = 2 - 2 $[/tex]

= 0.

Since, all the values are satisfied, OPTION B is the answer.

Substitute OPTION C and OPTION D. They do not satisfy the values either.

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by [tex]f(x) = 4(2)^{x}[/tex].

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is = [tex]\frac{f(2) - f(1)}{2 - 1} = 16 - 8 = 8[/tex] (Answer)

And in section B, the average rate of change is  = [tex]\frac{f(4) - f(3)}{4 - 3} = 64 - 32 = 32[/tex] (Answer)

Part B:

Therefore, the number of times the average rate of change of section B is greater than section A is [tex]\frac{32}{8} = 4[/tex] (Answer)

Answer:

Part A: Section A- 8, Section B- 32.

Part B: 4 times.

Step-by-step explanation:

The function is given by .

Section A is from x = 1 to x = 2.

Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16

Again, section B is from x = 3 to x = 4.

Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64

Part A:

In section A, the average rate of change is =  8

And in section B, the average rate of change is  =  32

Part B:

Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)

The expression that represents the situation is 0.65 x = 18.2

The tool used for 28 minutes

Step-by-step explanation:

The given is:

Assume that the tool rent for x minutes

∵ The tool rental cost is $0.65 per minute

∵ The number of minutes is x

∵ The total bill for the rental = $18.20

∴ 0.65 x = 18.20

The expression that represents the situation is 0.65 x = 18.2

Solve the equation to find x

∵ 0.65 x = 18.20

- Divide both sides by 0.65

∴ x = 28

The tool used for 28 minutes

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