what is x-13+2x+1=180

The width of rectangular garden(b) = 8 feet and

The area of rectangular garden = 160 square feet

Step-by-step explanation:

Given,

The length of rectangular garden(l) = 20 feet and

The perimeter of rectangular garden(fencing) = 56 feet

To find, the width of rectangular garden(b) = ? and

The area of rectangular garden = ?

We know that,

The area of rectangular garden = 2(l + b)

⇒  2(20 + b) = 56

⇒  20 + b = 28

⇒ b = 28 - 20 = 8 feet

The width of rectangular garden(b) = 8 feet

∴ The area of rectangular garden = l × b

=  20 feet × 8 feet

= 160 square feet

Hence, the width of rectangular garden(b) = 8 feet and

the area of rectangular garden = 160 square feet

The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet. The calculations were made using the perimeter and area formulas for rectangles.

To find the width of Julia's rectangular garden and its area, we can use the given information:

The garden is 20 feet long, and the total perimeter of the garden is 56 feet.

Step-by-Step Solution:

The formula for the perimeter P of a rectangle is given by:

P = 2L + 2W

where L is the length and W is the width.

We know the following values:

L = 20 feet

P = 56 feet

Substitute these values into the perimeter formula:

56 = 2(20) + 2W

Simplify and solve for W:

56 = 40 + 2W

56 - 40 = 2W

16 = 2W

W = 8 feet

Now we can find the area A of the garden using the formula for the area of a rectangle:

A = L × W

Substitute the values we have:

A = 20 × 8

A = 160 square feet

The width of Julia's garden is 8 feet, and the area of her garden is 160 square feet.

Answer:

Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.

Step-by-step explanation:

i) Let x be the number of pounds of ground beef

ii) Let y be the number of pounds of chicken.

iii) therefore    x + y = 9.5 pounds

iv) also we have   4.5 x +  3 y  = 30 dollars

v) multiplying the equation in iii) by 3 we get   3x + 3y = 28.5

vi) Subtracting the equation in v) from the equation in iv) we get  1.5 x  =  1.5

vii) Therefore x  = 1 pound

viii) substituting the value of x in vii) in the equation in iii) we get

    1 + y  = 9.5 .  Therefore y = 8.5 pounds.

ix) Therefore Mr. Torres buys 1 pound of ground beef and 8.5 pounds of chicken.

Answer:

No, it does not represent a proportional relationship because it if you were to graph it on a graph the linear line wouldn't pass through the origin, therefor making the ratio from x to y different. Which makes it non-proportional.

Step-by-step explanation:

Incomplete question the complete question with the figure is below.

Answer:

Therefore,

[tex]m\angle 7=34\°[/tex]

Step-by-step explanation:

Given:

In the figure, a || b

m∠3 = 34°

To Find:

m∠7 = ?

Solution:

Corresponding Angles:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles.

 ∠ 3 and ∠7 are Corresponding Angles.

∴ [tex]m\angle 3=m\angle 7[/tex]

But m∠3 = 34

∴  [tex]m\angle 7=34[/tex] ................Transitive Property.

Therefore,

[tex]m\angle 7=34\°[/tex]

Answer:

four four four four four

Answer:

4

Step-by-step explanation:

36 divided  by 8 is 4.5

4.5 x 4= 18

Answer:

90°

Step-by-step explanation:

All circles are equal to 360°. Since the pie chart is a circle, if you added all of the central angles for all three sections, it would total to 360°.

Since the circle is not divided into 360 parts for each degree, but 100 parts for each percent %.

You can solve using an equivalent. Write each fraction in the form "Lemonade" over "total". The left side is percentage, the right side is degrees.

Let x be the central angle for lemonade

[tex]\frac{25}{100}=\frac{x}{360}[/tex]

Solve for the central angle of lemonade by isolating 'x'. To isolate x, move  360 over to the other side. When moving numbers in an equivalent, you do the opposite operation to both sides. Since 'x' divides by 360, multiply 360 on both sides.

[tex]\frac{25}{100}=\frac{x}{360}[/tex]

[tex]360*\frac{25}{100}=360*\frac{x}{360}[/tex] 360 cancels out on the right

[tex]\frac{360*25}{100}=x[/tex]         Combined multiplication in numerator

[tex]\frac{9000}{100}=x[/tex]        When dividing, 0s cancel out

[tex]\frac{90}{1}=x[/tex]       Simplify fraction over 1

[tex]x = 90[/tex]      Answer

Therefore the central angle in the Lemonade section is 90°.

Answer:x=r/p-9

Step-by-step explanation:

[tex]\bf \cfrac{5}{9}-\cfrac{5}{18}\implies \stackrel{\textit{using the LCD of 18}}{\cfrac{(2)5~~-~~(1)5}{18}}\implies \cfrac{10-5}{18}\implies \cfrac{5}{18}[/tex]

Answer:

88 because I just solved it on a white board

Perimeter of a rectangle = 6x + 8

Solution:

Given area of a rectangle = [tex]2x^2+7x+3[/tex]

Let us first factor the given polynomial.

[tex]2x^2+7x+3=2x^2+x+6x+3[/tex]

                    [tex]=(2x^2+x)+(6x+3)[/tex]

Taking out common terms in the above expression

                    [tex]=x(2x+1)+3(2x+1)[/tex]

Taking out common term [tex]2x+1[/tex] in the above expression

                    [tex]=(2x+1)(x+3)[/tex]

[tex]2x^2+7x+3=(2x+1)(x+3)[/tex]

Area of a rectangle = l × b

Therefore, [tex]l=2x+1[/tex] and [tex]b=x+3[/tex]

Perimeter of a rectangle = 2(l + b)

                                         [tex]=2[(2x+1)+(x+3)][/tex]

                                         [tex]=2(2x+1+x+3)[/tex]

                                         [tex]=2(3x+4)[/tex]

                                         [tex]=6x+8[/tex]

The answer is same if you take l = x + 3 and b = 2x + 1.

Hence, perimeter of a rectangle = 6x + 8.

Answer:

Inverse of function  f(x) is y =x-3

Step-by-step explanation:

Given:

f(x) = (x+3)

To Find:

Inverse of  f(x)

Solution:

Inverse of the function:

Let f: X -> Y be a function with domain X and target set Y. Then g is the inverse of f if g is a function with domain Y and target set X such that

g(f(x)) = x for all x in X

f(g(y)) = y for all y in Y.

f has an inverse function if and only if f is both one-to-one and onto. If f is one-to-one and onto, then its inverse function g is defined implicitly by the relation g(f(x)) = x.

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

Let y = f(x) = x+3

So, swapping the variables: y=x+3 becomes x=y+3

Now, solve the equation x=y+3 for y.

y=x−3

y=x−3

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

[tex]\therefore y=kx[/tex]     ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

[tex]32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6[/tex]

Now when k =1.6 , y = 40 then x will be

[tex]40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25[/tex]

Therefore the value of x is 25 when y =40.

Final answer:

The value of x when y is 40 is C) 25.

Explanation:

The variable y is directly proportional to the variable x.

This means that as x increases or decreases, y does so at a constant rate.

This relationship can be written as y = kx, where k is the constant of proportionality.

To find k, we use the information that y = 32 when x = 20, leading to the equation 32 = k * 20.

Solving this gives us k = 32 / 20 or k = 1.6.

With the constant k known, we can find the value of x when y = 40 by setting up the equation 40 = 1.6x.

Dividing both sides by 1.6 gives us x = 40 / 1.6, which results in x = 25.

Therefore, the correct answer is C) 25.

The Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.

To find how many hours the Jacobys drove on Monday and Tuesday, we need to add the hours they drove on each day.

On Monday, they drove 5 ¼ hours. On Tuesday, they drove 4 ¼ hours. To find the total number of hours they drove on both days, we add these two amounts:

5 ¼ + 4 ¼ = 10 ¼ hours

So, the Jacobys drove a total of 10 ¼ hours on Monday and Tuesday.

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Answer:

B, hope this helps you!

Both the variable and constant terms in Yari's equation are identical on each side after simplification, leading to the conclusion that both sides are exactly the same.

Analysing Yari's equation step-by-step, we can see that after expanding and simplifying both sides of the equation:

Comparing both sides of the simplified equation 2x + 3 = 3 + 2x, we notice that both the variable terms (2x) and the constant terms (3) are identical on each side.

Therefore, the correct answer is:

B) Both sides are exactly the same.

Answer:

6.4

Step-by-step explanation:

#1. 3x+1.5=2.5x+4.7

#2. subtract by 1.5 on both sides

#3. 3x=2.5x +3.2

#4. then subtract 2.5x on both sides because you need all the x'x on one side

#5. .5x= 3.2

#6. then you divide but you should bring the decimal to the right once on both sides

#7. x=6.4

The equation 3x + 1.5 = 2.5x + 4.7 has one solution which is x = 6.4.

The equation at hand is 3x + 1.5 = 2.5x + 4.7. To check whether the equation has no solution, one solution, or an infinite number of solutions, we have to solve the equation.

By collecting like terms, 3x - 2.5x = 4.7 - 1.5 will give us 0.5x = 3.2. To isolate x, we simply divide both sides of the equation by 0.5, leading to x = 3.2/0.5 which equals 6.4.

Therefore, the given equation has one solution, and that solution is x = 6.4.

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Answer:

C

Step-by-step explanation:

Answer:Got  it  t ght\\======

Step-by-step explanation:

Answer:

Therefore the overall vertical change is a drop of 300 feet.

Step-by-step explanation:

i) The overall vertical change is given by = -282 feet + 143 feet - 161 feet = -300 feet.

ii) Therefore the overall vertical change is a drop of 300 feet. A drop is represented as negative and a climb is represented as positive.

Answer: $25

Step-by-step explanation: what you need to do is take $150 and take $125 dollars away you will get $25!

Answer:

25

Step-by-step explanation:

25-: 2=50

125 + 25=150

Answer:

Step-by-step explanation:

-(-3)-[-(-4)]-2+7 = 3 - [4] - 2 + 7 = 3 - 4 - 2 + 7 = (3+7) - (4+2) = 10 - 6 = 4

Answer:

12 = 22 × 3

Step-by-step explanation:

The fraction equivalent of 7/12% of a quantity is 7/12000.

The question is asking to derive the fraction equivalent of 7/12% of a quantity. In mathematics, a percent is a way of expressing a fractional amount using a ratio whose denominator is 100. Therefore, to convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100.

In this case, 7/12% can be expressed as (7/12)/100. Simplifying this fraction, we get 7/12000, which is the fraction of the quantity that 7/12% represents.

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Sarah sold 66 posters

Solution:

Let "a" be the number of shirts sold

Let "b" be the number of posters sold

Sarah sold a total of 178 t shirts and posters at a festival

Therefore,

number of shirts sold + number of posters sold = 178

a + b = 178 ----------- eqn 1

She sold 46 more tshirts than poster

Number of shirts sold = 46 + number of posters sold

a = 46 + b --------- eqn 2

Substitute eqn 2 in eqn 1

46 + b + b = 178

2b = 178 - 46

2b = 132

b = 66

Thus she sold 66 posters

Final answer:

Sarah sold 66 posters at the festival.

Explanation:

Let's represent the number of posters Sarah sold as P. Since she sold 46 more t-shirts than posters, we can represent the number of t-shirts as P + 46. The total number of t-shirts and posters sold is 178, so we can write the equation: P + (P + 46) = 178.

Combining like terms, we get: 2P + 46 = 178. Subtracting 46 from both sides, we have: 2P = 132. Dividing both sides by 2, we find: P = 66.

Therefore, Sarah sold 66 posters at the festival.

Answer: 7x2−2x+11

Step-by-step explanation:

Distribute the Negative Sign:

7x2+6+−1(2x−5)

7x2+6+−1(2x)+(−1)(−5)

7x2+6+−2x+5

Combine Like Terms:

7x2+6+−2x+5

(7x2)+(−2x)+(6+5)

7x2+−2x+11

Answer:

B

Step-by-step explanation:

The Elimination Method is the method for solving a pair of linear equations which reduces one equation to one that has only a single variable.

When multoplying the equation by a coefficient, we multiply both sides of the equation (multiplying both sides of the equation by some nonzero number does not change the solution).

So, option B is not allowed (it is not allowed to multiply only one part of equation)

Answer:

B

Step-by-step explanation:

the answer is 2.4

Mean=\frac{\sum fx}{\sum f}

Where:

f is the frequency

x is the value

\frac{3+7+5+6+2+x}{6} =5

23+x=30

x=30-23

x=7

\therefore Mean=\frac{1 \times 7 + 2 \times 1+ 3 \times 3 + 4 \times 2 + 5\times 2}{15}

                      =\frac{7+2+9+8+10}{15} =\frac{36}{15} =2.4

Therefore, the mean = 2.4

sorry if its a bit confusing

Answer:

Its 2.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is 15 emperor penguins...they make up 30% of all the penguins

so 30% of all the penguins is 15

let x represent all the penguins

turn ur percent to a decimal

0.30x = 15

x = 15 / 0.30

x = 50 <===== 50 total penguins

Answer:

50 penguins

Step-by-step explanation:

there is 15 emperor penguins...they make up 30% of all the penguins

so 30% of all the penguins is 15

let x represent all the penguins

turn ur percent to a decimal

0.30x = 15

x = 15 / 0.30

x = 50 <===== 50 total penguins

Answer:

option (4)

Step-by-step explanation:

As a function x can only have one unique value that it maps to.

(1)

(10, 12 ) ← No since (10, 11 ) is already part of the function

(2)

(15, 13 ) ← No since (15, 18) is already part of the function

(3)

(17, 10 ) ← No since (17, 12 ) is already part of the function

(4)

(11, 13 ) ← Yes as no other value with x = 11

The expression 3(2x-8)-11x simplifies to -5x - 24 by distributing the 3 and then combining like terms.

To simplify the expression 3(2x-8)-11x, we must first distribute the 3 to both terms within the parenthesis and then combine like terms. Here's the step-by-step process:

Multiply 3 by 2x to get 6x.

Multiply 3 by -8 to get -24.

Combine the products from steps 1 and 2 with the -11x.

So, 3(2x-8) equates to 6x-24.

Now, combine 6x - 24 with -11x (6x-24-11x).

Simplify the like terms by subtracting 11x from 6x which gives -5x.

Our final expression is -5x - 24.

Therefore, the simplified expression of 3(2x-8)-11x is -5x - 24.

Answer:

Step-by-step explanation:

Equation of line is y = mx + b

m is the slope = -5

b is the y intercept = -7

:- y = -5x - 7

Good evening

Answer:

RM ≈ 8.25

Step-by-step explanation:

√((10-2)^2+(6-4)^2)

= √(8^2+2^2)

=√(64+4)

=√(68)

=8.246211251235

Distance RM To the nearest hundredth 8.25

:)