​arif's backyard is 22 by 32 meters. he wants to put a flower garden in the middle of the​ backyard, leaving a strip of grass of uniform width around the flower garden. to be​ happy, arif must have 288 m^2 of grass. under these conditions what will the length and width of the garden​ be?

Let's begin by identifying key information given to us:

Numbers of apples = 35

Number of oranges = 30

Total number of fruits = 65

The ratio of apples to oranges is given by:

just find it from the graph its not that hard

goodluck :)

The Inequality notation of the given equation 10+3x>-16 is x > -2

What is Inequality notation?

A mathematical statement known as an inequality expresses the relationship between two quantities while indicating that they are not completely equal. The four symbols used to represent inequality are. ≥, >,<, and ≤.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare the two values in inequality. Less than (or less than and equal to), greater than (and greater than or equal to), and also not equal to signs are used in place of the equal sign.

Consider the above equation.

-10 +3x > -16

Add 10 on both sides.

= -10+3x+10> -16+10

= 3x> -6

Divide by 3 to equation into both sides.

= [tex]\frac{3x}{3} > \frac{-6}{3}[/tex]

=  x > -2

Inequality notation is x > -2

Interval Notation: [−2,∞)

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Answer:

4/7

Step-by-step explanation:

Answer:

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Step-by-step explanation:

Step 1: Identify the fractions
Colton is given one of the seven pieces, so he has [tex]\frac{1}{7}[/tex] of the chocolate.

Jill is given three of the seven pieces, so she has [tex]\frac{3}{7}[/tex]  of the chocolate.

Brandon himself had seven pieces at the beginning, so he had [tex]\frac{7}{7}[/tex] (the whole) of the chocolate.

Step 2: Do calculations with the fractions

Collectively, Colton and Jill have taken:

[tex]\frac{1}{7}+\frac{3}{7}\\\\\text{Add the fractions:}\\\frac{1+3}{7}\\\\\text{Calculate:}\\\frac{4}{7}~\text{of the chocolate}[/tex]

So, the fraction that Brandon has currently is:

[tex]\frac{7}{7}-\frac{4}{7}\\\\\text{Subtract the fractions:}\\\frac{7-4}{7}\\\\\text{Calculate:}\\\frac{3}{7}[/tex]

Brandon has [tex]\frac{3}{7}[/tex] of the chocolate left with him.

Jummai and Tunde will each have 9 and 6 bananas respectively.

For the given ratio case we use the sharing ratio criterion to solve the problem.

Jummai is 12 years old.

Tunde is 8 years old.

Their ages are in ratio of;

                             A = 12 : 8

                             A =  3 : 2

The ratio's sum is 5.

15 bananas total are available for sharing.

Jummai will have [tex]x\\[/tex] bananas  [tex]x[/tex] = (15 x 3/5) = 9

Tunde will have [tex]y[/tex] bananas  [tex]y[/tex] = (15 x 2/5) = 6

Jummai and Tunde will each have 9 and 6 bananas with them.

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The correct option is option B that is the function f(x) = 3 (4)ˣ.

A function may be defined as an expression in which for every input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. We need to find the function for the given graph. We have two points on the graph so we will satisfy the points in the options given options. The points are (0, 3) and (1, 12).

The first option is

f(x) = 3 (12)ˣ, after putting point (1, 12)

12 ≠ 3 (12), so it is not required function.

The second option is

f(x) = 3 (4)ˣ, after putting points (0, 3) and (1, 12)

3 = 3 and 12 = 12, so it is the required function.

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Answer: B. 2x-5

Step-by-step explanation:

Decompose the polynomial into factors:

[tex]2x^2+x-15=\\\\2x^2+6x-5x-15=\\\\2x(x+3)-5(x+3)=\\\\(x+3)(2x-5)[/tex]

[tex]S=length*width\\\\The \ lenght=x+3\\\\Hence,\ \\\\The \ width=2x-5[/tex]

Answer:

1111...................... ................

Considering the equation of selling habitat between Niayla and Hamilton, the number of habitats that Niayla and Hamilton must sell to make an equal amount of money is 15

information gotten from the question include

Hamilton gets paid a flat fee of 350 dollars plus 50 dollars for each habitat he sells

Niayla gets paid a flat fee of 500 dollars 40 dollars for each habitat she sells

The equation as described is a linear function and is represented by the form. y = mx + c

where:

y = total amount made

x = number of habitat sold

m = cost per habitat

c =flat fee

some interpretation on the information from the question include

for Hamilton

y = 50x + 350

for Niayla

y' = 40x + 500

To make equal amounts y = y'

50x + 350 = 40x + 500

500 - 350 = 50x - 40x

150 = 10x

x = 150 / 10

x = 15

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Answer:

y=-5x+7

Step-by-step explanation:

15x+3y=21

(15x+3y)/3=21/3

5x+y=7

5x+y-5x=7-5x

y=-5x+7
yeah
i'm probably wrong but its my best

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

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]

____________________________________

The given equation is :

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

[tex]\qquad\displaystyle \tt \rightarrow \: 15x + 3y = 21[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3y = 21 - 15x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{21}{3} - \frac{15}{3} x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 5x + 7[/tex]

That's the required equation in slope intercept form, with slope (m) = -5, and y - intercept = 7

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Solving 2x+c = d is similar to solving 2x+1 = 9 because both the equations have similar pattern.

According to the question,

We have thee following two equations:

2x+c = d ....(1)

2x+1 = 9 ....(2)

Now, note in these equations that in equation 2 we have two different values of c and d. We have the value of c as 1 and d as 9.

Further, solving these two equations would be same because of the following:

For equation 1, we have:

2x+c = d

2x = d-c

x = (d-c)/2

For equation 2, we have:

2x+1 = 9

2x = 9-1

x = (9-1)/2

Now, observe that in finding the values of x in both the equations we have similar solutions except the fact that in equation 2 we have two values of c and d.

Hence, solving 2x+c = d and 2x+1 = 9 is similar.

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Answer:

(-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,-5)

Step-by-step explanation:

see picture

Answer:

There are 3 strawberries and the total number of fruit is 15, so 3:15 is the ratio, or 3/15.

Step-by-step explanation:

The total number is all of the fruits added together, so 12 + 3.

The 3 means the number of strawberries, so you just put them together into a ratio.

Hope this helps.

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The rate of change of the function shown in the graph is $0.5 per minute.

What is rate of change?

The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time. When discussing momentum, the term "rate of change" is frequently used. It is typically defined as the ratio of a change in one variable to a matching change in another; visually, the rate of change is represented by the slope of a line. The Greek letter delta (Δ) is usually come in use to represent the ROC.

As shown in the graph,

The x-axis represents the minute and y-axis represents the cost.

and the cost is function of time.

For each 10 minute the cost increased $5

So, the cost is changing at a rate of $5 per 10 minute

$5 = 10 minutes

diving both side with 10

$0.5 = 1 minute

Therefore, the rate of change of the function shown in the graph is $0.5 per minute.

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Answer:

3.5 * 10^2

Step-by-step explanation:

So you start with 350.

What you do is take the decimal from the beginning of 350 and move it to the left.

350.0 -> 35.0-> 3.5

And you move the decimal until you get only one number in front of the decimal.

Then you take the number of times you moved the decimal and put it with ten so in this case it would be. 10^2.

Making the final answer: 3.5 * 10^2

Answer:

45g = 40.5°

45g = 40° 30′ 0″

∠UXS    = 135°  is the value on transversal line.

What is a transversal angle?

∠RXU = 45°

∠UXS = ?

As we know that a line make 180 degree angle on it.

So, ∠UXS + ∠RXU = 180°

     ∠UXS =  180° -  ∠RXU

         ∠UXS =  180° - 45°

                     = 135°

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Answer:

130 m

Step-by-step explanation:

See the attached, pleasantly presented, worksheet.

EXPLANATION:

Given;

We are given two triangles labeled MRS and NSR.

Required;

We are required touse the information provided rto rove tside SM is equal to side RN.

Solution;

If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.

Therefore;

The solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

What is inequality?

In mathematics, the term 'inequality' is defined as a statement or equation with an ordered relationship like greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now the given inequality is,

-5 < 9- 6x

Adding 5 both the side we get,

5 - 5 < 9 - 6x + 5

⇒ 0 < 14 - 6x

⇒ 14 - 6x > 0

Dividing both the side by 6 we get,

⇒ 14 < 6x

⇒ x > 14/6 = 7/3

or, x ≤ 7/3

this is the required solution of the given inequality.

Thus, the solutions to the inequality -5 < 9 - 6x is x ≤ 7/3.

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The range of the function, f(x), that gives the total cost of the cleats of given that each cleat costs $15 and the number of cleats, x, is 5 ≤ x ≤ 9 is RANGE: [75, 135]

The range of a function is the set containing the output values that are obtainable with the function.

The given parameters are;

The number of players, n, in the sports team is; 5 ≤ n ≤ 9

The given cost of one cleat = $14

The function that represents the total cost of the cleats for the team is f(x) = 15•x

Given that each team member is given one cleat, we have;

Number of cleats is 5 ≤ x ≤ 9

The range of values for the total cost of the cleats is therefore;

15 × 5 ≤ f(x) ≤ 15 × 9

75 ≤ f(x) ≤ 135, which using interval notation gives;

RANGE: [75, 135]

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Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 [tex]*\\[/tex] 6 = 18

2. 18 + 7 = 25

Check the picture below.

Using the vertical angle image we get the following answers:

Given the equations are:

42 = 4x-4 and 24 = x+50.

According to vertical angles theorem, when two lines intersect the opposite angles are equal and adjacent angles are supplementary.

we know that,

∠2 = 4x-4 and ∠4 = x+50

a)To Find the value of x:

4x - 4 = x + 50

4x - x = 50 + 4

3x = 54

x = 54/3

x = 18

b) To Find the measure of ∠2:

∠2 = 4×18 - 4 = 72 - 4

= 68

c)  Angles 2 and 3 are supplementary so their sum is 180°.

∠2 + ∠3 = 180

68 + ∠3 = 180

∠3 = 180 - 68

∠3 = 112°

Hence we get the required angles.

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Your question is incomplete. Please find the missing content here:

Using the vertical angle image from problem 1, let ∠2 = 4x-4 and ∠4 = x+50.

A. What is the value of x?

B. What is the measure of ∠2?

C. Find the measure of ∠3.

Answer: v = 2

Step-by-step explanation:

1. Distribute the 5 to the items within the parenthesis.

-3v + 5v - 10 = -6

2. Combine V terms and Isolate V from other terms.

2v = 4

3. Divide both sides by 2.

v = 2

Perimeter of the parallelogram which points are E(7,-5), F(7, 2), G(4, 8), and H(4, 1) = 24 units.

There are 4 types of parallelograms, including 3 special types. The four types are parallelograms, squares, rectangles, and rhombuses.

A parallelogram is a shape with only two dimensions. It has four sides, two parallel pairs of which make up each side. The lengths of the parallel sides are also the same. The form is not a parallelogram if the lengths of the parallel sides are not equal.

Properties of parallelograms

Given points are

E(7,-5),

F(7, 2),

G(4, 8), and

H(4, 1)

Perimeter of the parallelogram EFGH=2(EF+FG)

Distance between two points(x₁ , y₁) and (x₂ , y₂ ) can be calculated using the formula  

√(x₂ - x₁ )² + (y₂ - y₁)²

Hence ,length of  EF =  

√(7 - 7  )² + (2 - (-5))²

=√49

=7units

And length of FG =

√(4 - 7  )² + (8 - 4)²

= √16 + 9

= √25

​=5units

Hence, Perimeter of  the  parallelogram EFGH=2(EF+FG)=2(5+7)=24units

We have form parallelogram EFGH. For the result see the attachment-

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Answer:

  27.4 units

Step-by-step explanation:

Given parallelogram EFGH with vertices E(7,-5), F(7, 2), G(4, 8), and H(4, 1), you want to know its perimeter.

The distance between two points can be found from their coordinates using the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The distance between points F and G is ...

  d = √((4 -7)² +(8 -2)²) = √(9 +36) = √45 ≈ 6.708

The distance between points E and F will be the difference of their y-coordinates:

  d = √((7 -7)² +(2 -(-5))²) = √(0 +7²) = 7

Since opposite sides of a parallelogram are the same length, the perimeter is twice the sum of two adjacent sides:

  P = 2(EF +FG)

  P = 2(7 +6.708) = 2(13.708) = 27.416

The perimeter of EFGH is about 27.4 units.

Answer:

Two is subtracted by a number:

n - 2

And then the difference is divided by 3:

(n - 2) / 3

The result is 30:

(n - 2) / 3 = 30

(n -  2 ) / 3 = 30

(n - 2) = 30 • 3

n - 2 = 90

n = 90 + 2

n = 92

The number is 92