Maria put trim around a banner that is the shape of a triangle. Each side is 22 inches long. Maria has 1/2foot of trim left. What was the length of the trim when she started? Write your answer in yards

Answer:

32/5

Step-by-step explanation:

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-11h > 1

Divide both sides by -11.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-11h ÷ -11 < 1 ÷ -11

h < 1/-11

Therefore, h < -1/11

We are given with an inequality and we need to solve for h . So let's start

[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]

[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]

[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]

Add 4h to both sides

[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]

[tex]{:\implies \quad \sf -11h+10> 11}[/tex]

Subtracting 10 from both sides ;

[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]

[tex]{:\implies \quad \sf -11h-1> 0}[/tex]

Adding 1 to both sides

[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]

[tex]{:\implies \quad \sf -11h>1}[/tex]

Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;

[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]

Answer: 100

Step-by-step explanation:

4b squared where b= 5

Slot in 5 for b; 5 squared = 5x5= 25

4 (25)

=100

Answer:

100

Step-by-step explanation:

First we remove the b and put 5 in its place because that what the instructions say b stands for

4*5^2

We do PEMDAS to figure out what to do first, we do the exponent

5^2 or 5*5= 25

Now we do 4 * 25

4*25 =100

Answer:

37.70 feet

Step-by-step explanation:

-The radius of each tire is given as 6 feet.

-Distance around each tire is equivalent to the circumference of each tire.

#Circumference is calculated as:

[tex]C=\pi D=2\pi r\\\\=2\pi \times 6 \\\\=12\pi\\\\=37.70\ feet[/tex]

Hence, the distance around each tire is 37.70 feet

Answer:

h = -3

Step-by-step explanation:

to solve for h

-5 = h + (-2)  

just combine the like terms together

-5 = h + (-2)  

-5 + 2 = h

h = -3

Answer:

The original number of oranges purchased is 260

Step-by-step explanation:

Let the original number of oranges purchased be x

We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.

So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]

We are given that This year the store bought 299 oranges.

So, [tex]1.15 x= 299[/tex]

[tex]x=\frac{299}{1.15}[/tex]

x=260

Hence the original number of oranges purchased is 260

Answer

Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.

Answer: t= 15

Step-by-step explanation:

1/4t= 3 3/4

Make 3 3/4 as an improper fraction:

15/4

Multiply:

t= 15/4 x 4/1

=60/4

t=15

Answer:

1/26

Step-by-step explanation:

the probably is 1/26 becasue there is 26 letter in the alphabet

Answer:

The numbers are 12 and 32.

Step-by-step explanation:

x = One number

x - 20 = Another number

3x - (x - 20) = 84 (If the lesser number is subtracted from three times the greater number, the difference is 84)

Let's solve for x, this way:

3x - (x - 20) = 84

3x - x + 20 = 84

2x = 84 - 20 (Subtracting 20 at both sides)

2x = 64

x = 64/2

x = 32 ⇒ x - 20 = 12

For the given problem, by denoting the lesser number as 'x', we can form and solve an algebraic equation to find 'x=12' and 'x+20=32', which are the lesser and the greater numbers respectively.

This problem involves the concepts of algebraic equations. Let's denote the lesser number as 'x'. Therefore, the greater number becomes 'x+20' because it is 20 more than the lesser number. The problem states that three times the greater number subtracted by the lesser number is 84. So, we can translate that into the equation: 3*(x+20) - x = 84.

Solving this equation we get: 3x + 60 - x = 84, which simplifies further to 2x + 60 = 84. Deducting 60 from both sides gives 2x = 24. Finally, dividing by 2 gives x = 12 which is the lesser number. So the greater number becomes x + 20 = 12 + 20 = 32.

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Answer:

D

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r → D

The circumference of a circle is defined as the distance around the circle.

The formula that represents r in terms of C is r =  C/ 2π. The correct option is Option D

From the question, we are given the formula for the circumference of the circle C as :

C = 2πr

To represent in terms of C,

2πr = C

Divide both sides by 2π

2πr/2π = C/ 2π

r =  C/ 2π

Therefore,  the formula that represents r in terms of C is r =  C/ 2π. The correct option is Option D

To learn more, visit the link below:

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Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

In electromagnetic waves, the more the work, the greater the energy expended.

The result is approximately 40.7 cm^2.

To find the surface area of a cone:

Identify the radius and height of the cone.

Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.

Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.

Answer:

21x+53

Step-by-step explanation:

The simplified expression is 21x - 13.

To solve the expression 5(3x + 4) - 3(-2x + 11), follow these steps:

Distribute the 5 into the first set of parentheses:

5 × 3x = 15x

5 × 4 = 20

So, 5(3x + 4) becomes 15x + 20.

Distribute the -3 into the second set of parentheses:

-3 × -2x = 6x

-3 × 11 = -33

So, -3(-2x + 11) becomes 6x - 33.

Combine like terms:

(15x + 6x) + (20 - 33) = 21x - 13

The simplified form of the expression is 21x - 13.

Answer:

c=6

Step-by-step explanation:

4(2c-8)=16

Divide each side by 4

4/4(2c-8)=16/4

2c-8 =4

Add 8 to each side

2c-8+8=4+8

2c =12

Divide each side by 2

2c/2 =12/2

c=6

Answer:

Table #1:

Length (L) | Width (W) | Area (56)

Table #2:

Length (2L) | Width (2W) | Perimeter (36)

Equation #1: L · W = 56

Equation #2: 2L + 2W = 36

Step-by-step explanation:

The following are the formulas used to find the area and the perimeter of a rectangle:

Area = L · W

Perimeter = L + L + W + W

If you group common variables, you can simplify the formula used to find the perimeter down to:

Perimeter = L + L + W + W

Perimeter = 2L + 2W (Since you're adding 2 of each)

Using these formulas, we can insert our values into them. We know that the rectangle has an area of 56 square inches meaning:

L · W = 56

We know that the rectangle has a perimeter of 36 inches meaning:

2L + 2W = 36

Answer:

Table #1:

Length (L) | Width (W) | Area (56)

Table #2:

Length (2L) | Width (2W) | Perimeter (36)

Equation #1: L · W = 56

Equation #2: 2L + 2W = 36

Step-by-step explanation:

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

chickens is represented by C, and the number of goats is G.

C=18

G=20

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

x=-10

Step-by-step explanation:

first put "x" on one side and the constants on the other

the equation becomes 2x=-20 or -2x=20

both cases divide by 2 and the answer becomes x=-10

or if you end up with -x=10 just multiply by -1 and it ends up the same

Answer:

[tex] {(x + 3)}^{2} = 16[/tex]

Step-by-step explanation:

The given equation is

[tex] {x}^{2} + 6x - 7 = 0[/tex]

To find the equation that has the same solution, we complete the square.

Add the square of half the coefficient of x to both sides

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

This becomes:

[tex] {x}^{2} + 6x + 9 = 9 + 7 [/tex]

Factor the first three terms to get a perfect square;

[tex]{(x + 3)}^{2} = 16[/tex]

The correct answer is C

The equation c. (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.

The equation that has the same solutions as the given equation x^2+6x−7=0 is c. (x+3)^2=16.

Therefore, the equation (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.

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Answer:

B.  62.8    is the correct answer

Step-by-step explanation:

Answer:

C) 3, 4, 5

Step-by-step explanation:

5² = 3² + 4²

25 = 9 + 16

25 = 25

          6.25     Multiply.

x             1.6

▬▬▬▬▬▬▬▬

                10

Therefore, 10 is our answer.

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Learn more:

Multiplying decimals: https://brainly.com/question/13786600

Answer:

10

Step-by-step explanation:

A few changes were made while calculating the product of 6.25 and 1.6.

Now, let's calculate the product using long multiplication. (refer to attachment).

Answer: 15 4/3

Step-by-step explanation:

Final answer:

To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.

Explanation:

Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:

Once we have the value of x, we can find the dimensions of the canvas:

So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.

Step-by-step explanation:

8/100(8 over 100)×16000=1280

1280+16000=17280

Answer:

$21,767.82

Step-by-step explanation:

48 months = 48/12 = 4 years

16000 × (1 + 8%)⁴

16000 × 1.08⁴

= 21,767.82336

Answer:

20

Step-by-step explanation:

To get the answer, you have to find what number 15 is 75 percent of.

Answer:

The tenth term is

[tex] \frac{1}{20} [/tex]

Step-by-step explanation:

The 3rd term of an AP is 1/16.

This implies that:

[tex]a + 2d = \frac{5}{16} - - - (1)[/tex]

The 6th term of an AP is 1/5.

This means that:

[tex]a + 5d = \frac{1}{5} - - - (2)[/tex]

Subtract equation 1 from equation 2.

[tex]5d - 2d = \frac{1}{5} - \frac{5}{16} [/tex]

[tex]3d = - \frac{9}{80} \\ \implies \: d = - \frac{3}{80} [/tex]

From equation (1)

[tex]a + 2( - \frac{3}{80} )= \frac{5}{16} \\ a - \frac{3}{40} = \frac{5}{16} \\ a = \frac{5}{16} + \frac{3}{40} \\ a = \frac{31}{80} [/tex]

The tenth term is:

[tex]a + 9d = \frac{31}{80} + 9( - \frac{3}{80} ) \\ = \frac{31}{80} - \frac{27}{80} = \frac{4}{80} = \frac{1}{20} [/tex]

Answer:

47.1

Step-by-step explanation:

A=PIEr^2

if you have the diameter you dont need to square it so it is simply PIE(15)

then you get 47.1238898

round it

47.1

Answer:

176.6 mm^2

Step-by-step explanation:

We need to find the radius

r = d/2

r = 15/2 = 7.5

We want the area of a circle

A = pi r^2

A = pi * (7.5)^2

   = 3.14 * 56.25

    =176.625

Rounding to the nearest tenth

176.6 mm^2