rewrite equation without fractions, do not use decimals in the answer.

7/9x +2 = 5/6

Length = 34 cm

Width= 9 cm

Step-by-step explanation:

Let the width of the rectangle to be.........w

Length is 7 more than three times the width..........3w+7

Perimeter = 86 cm

Perimeter of a rectangle = 2(l+w)

Perimeter of the rectangle = 2 (w + 3w +7)

                                             = 2w +6w + 14

                                      86= 8w +14

                                       86-14 =8w

                                        72=8w

                                        72/8 =8/8w

                                          9=w

Width= 9 cm

Length = 3*9 + 7= 27+7 = 34 cm

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Keywords: rectangle,perimeter,length, equation, dimensions

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Answer:

2([tex]5^{2}[/tex])-5

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

2x5^2-(4+1)

2x25-5

50-5

45

Answer:

Therefore the value of the car after 10 year will be = $4,845.34

Step-by-step explanation:

A new car is purchased for $17900. the value of the car depreciates at 12.25% per year.

Since the value of the car depreciates therefore the amount of the car is

[tex]A= P(1-\frac{r}{100})^n}[/tex]

    [tex]=17900(1-\frac{12.25}{100})^{10}[/tex]                [  p = $17900, r = 12.25% and n =10 years]

    = $ 4,845.34

Therefore the value of the car after 10 year will be = $4,845.34

The value of the car be, after 10 years will be $4845.34.

Given that,

A new car is purchased for 17900 dollars.

The value of the car depreciates at 12.25% per year.

We have to determine,

What will the value of the car be, after 10 years.

According to the question,

The value of the car depreciates therefore the amount of the car is determined by the formula,

[tex]A = P (1 -\dfrac{r}{100})^n[/tex]

Where, P = $17900, r = 12.25% and n =10 years

Substitute all the values in the formula,

[tex]A = P (1 -\frac{r}{100})^n\\\\A = 17900(1 -\frac{12.25}{100})^{10}\\\\A = 17900( 1- 0.1225)^{10}\\\\A = 17900(0.8775)^{10}\\\\A = 17900 \times 0.270\\\\A = 4845.34[/tex]

Hence, The value of the car be, after 10 years will be $4845.34.

To know more about Percentage click the link given below.

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Answer:

81.625

Step-by-step explanation:

a mean is the average. an average is calculated by adding up all the numbers and then dividing the sum by the amount of numbers there are. these numbers added up = 653. 653 divided by 8 = 81.625. since it only goes up to three decimal places, no need to round.

Final answer:

The mean of the given data set is calculated by summing all the values and then dividing by the number of values. The calculated mean for this data set is 81.625.

Explanation:

To find the mean of the data set, we need to add all the data values together and then divide by the number of data values.

Thus, the mean of the data set is 81.625, which when expressed to three decimal places is 81.625.

The gardens perimeter is 12 meters.

Explanation:

        Perimeter = 2 × (4m + 2m) = 2 × (6m) = 12 meters.

Answer:

The perimeter of a rectangle is found by using this equation: P = 2 (L + W)

Step-by-step explanation:

I cannot see the picture that you posted, but that is the above equation. Take the length of the rectangle, and the width... plug that in for (L and W), and you have your formula! :)

Hope this helps!

Answer: X= 83°

Step-by-step explanation: If we observe closely, the angle between 41° and X° is an angle opposite angle 56° (opposite angles are equal)

So what we have are three angles on a straight line, which are

41°, 56° and X.

Sum of angles on a straight line = 180°

Therefore,

41 + 56 + X = 180

97 + X = 180

Subtract 97 from both sides of the equation

X = 180 - 97

X = 83°

Answer:

4 44/49

Step-by-step explanation:

7 7/9 is 70/9

then u use 70/9 multiply by 7/4(I call it keep, change, flip method for division of fraction)

You keep the 1st fraction and because it is a mixed fraction, changing it to improper fraction is easier to solve it later on.

after that, you change the division sign to multiply sign(÷ to ×)

then you flip the 2nd fraction, which means 7/4 becomes 4/7

So overall it becomes 60/7 × 4/7 =240/49,4 44/49 as a mixed fraction.

Answer is 4 44/49

Answer:

24

Step-by-step explanation:

mEG = 24 units

Hope it helps

Answer:

12 U.S teaspoons are in 1/4 cups.

The Formula is to multiply the volume value by 48.

So Since a 1/4 us cup=0.25 we can multiply this by 48.

0.25*48=12

So our awnser is 12 teaspoons

There are 12 teaspoons in 1/4 cups.

To understand this conversion, we need to know the standard conversion factors for cups and teaspoons. There are 16 teaspoons in 1 cup. Therefore, to find out how many teaspoons are in 1/4 cup, we divide the number of teaspoons in a full cup by 4.

Here is the calculation:

1 cup = 48 teaspoons

[tex]\( \frac{1}{4} \times 48 \)[/tex] teaspoons

[tex]\( = \frac{1}{4} \times \frac{48}{1} \)[/tex]

[tex]\( = \frac{48}{4} \)[/tex]

[tex]\( = 12 \)[/tex]

Therefore, there are 12 teaspoons in 1/4 cups.

Two division expressions equivalent to 61.12 divided by 3.2 are 611.2 divided by 32 and 6.112 divided by 0.32. These are derived by scaling both numbers by the same power of 10, and such scaling does not change the value of the quotient.

When looking for division expressions that have the same value as 61.12 divided by 3.2, we want to maintain the ratio between the dividend and the divisor.

By multiplying both the dividend and the divisor by the same power of ten, we can create equivalent expressions without changing the actual value of the division.

For the given problem, 61.12 ÷ 3.2, two equivalent division expressions from the choices provided are:

Both of these are arrived at by multiplying the original dividend and divisor by 10 and 100 respectively. This operation does not change the value of the quotient but simply scales the numbers involved.

The expressions that have the same value as 61.12 divided by 3.2 are Option1. 611.2÷32 and Option 3.  6.112÷0.32

Given the choices, let's identify the equivalent expressions that will have the same value as [tex]\( 61.12 \div 3.2 \)[/tex]

The original division:

[tex]\[ 61.12 \div 3.2 = 19.1 \][/tex]

We need to find two expressions that also equal 19.1

Let's test the given options:

1. [tex]\( 611.2 \div 32 \)[/tex]

[tex]\[ 611.2 \div 32 = 19.1 \][/tex]

2. [tex]\( 6.112 \div 0.32 \)[/tex]

[tex]\[ 6.112 \div 0.32 = 19.1 \][/tex]

So, the two division expressions that have the same value as  are:

[tex]\[ 611.2 \div 32 \quad \text{and} \quad 6.112 \div 0.32 \][/tex]

Thus, the answers are: [tex]\[ \boxed{611.2 \div 32 \quad \text{and} \quad 6.112 \div 0.32} \][/tex]

Full question

Write two division expressions that have the same value as 61.12 divided by 3.2

the following are choice you can pick 2 from

Answer:

12X+10

Step-by-step explanation:

It's easy. Just combine like terms. Like terms must have the same variable and to the same power in this case all the terms  have a power of 1, but it doesnt show it because it doesn't really matter. So 4x,6x, and 2x all have the same variable so add them together. That gets you 10x. Since nothing else in the expression has the same variable with 10, you leave the 10 at the end resolving in 12x+10

Answer:

12x+10

Step-by-step explanation:

Collect the like terms to one side.  

Answer: 4

Step-by-step explanation:

The sum of 12 and 8 is 12 add 8 which is 20. The difference between 12 and 8 is 12 minus 8 which is 4.

I don't know if this is right but if it is not tell me plz.

:) Thx

Answer:

The percent of decrease is [tex]30\%[/tex]

Step-by-step explanation:

Assuming the number of students enrolled in the photography club decrease from 50 to 35.

Then the change in student enrollment is 35-50=-15.

The percent of change  is given by:

[tex]\frac{Change\:in\:enrollment}{Original\:number}\times 100\%[/tex]

[tex]\frac{-15}{50}\times 100\%[/tex]

[tex]-15*2\%=-30\%[/tex]

Answer: 30

Step-by-step explanation:

i got it right

The length of the arc is 4π.

Step-by-step explanation:

Given,

Arc length = ∅/360° (2πr)

⇒ 60°/360° (2π[tex]\times[/tex]12)

⇒ 24π/6

⇒ 4π

∴ The length of the arc is 4π.

Lines can be divided into different segments of different lengths using ratios.

The y-coordinate of the point at this ratio is 0

The coordinates of J and K are given as:

[tex]\mathbf{J = (1,-10)}[/tex]

[tex]\mathbf{K = (7,2)}[/tex]

The ratio is given as:

[tex]\mathbf{m:n =5:1}[/tex]

The y-coordinate of the point at this ratio is calculated using:

[tex]\mathbf{y_p = \frac{my_2 + ny_1}{m+n}}[/tex]

So, we have:

[tex]\mathbf{y_p = \frac{5 \times 2 + 1 \times -10}{5+1}}[/tex]

[tex]\mathbf{y_p = \frac{10 -10}{5+1}}[/tex]

Simplify the numerator, and the denominator

[tex]\mathbf{y_p = \frac{0}{6}}[/tex]

Divide the fraction

[tex]\mathbf{y_p = 0}[/tex]

Hence, the y-coordinate is 0

Read more about line segment ratios at:

https://brainly.com/question/20075110

The y-coordinate of the point is 0.

The formula for the section formula is

x [tex]= \frac{mx_2 + nx_1}{m + n}[/tex]

y [tex]= \frac{my_2 + ny_1}{m + n}[/tex]

Substituting in the points, we get

x = [tex]= \frac{5(7) + 1(1)}{5 + 1} = \frac{36}{6} = 6[/tex]

y [tex]= \frac{5(2) + 1(-10)}{5 + 1} = \frac{0}{6} = 0[/tex]

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

Answer:

  is a function

Step-by-step explanation:

You want to know if the given set of ordered pairs represents a function.

A function cannot map an input value to more than one output value. That means the x-coordinates in a set of ordered pairs must all be different.

No x-values are repeated, so this relation is a function.

Answer:

[tex](3,0),(0,3)[/tex]

Step-by-step explanation:

y-intercept:

[tex]Substitute\ x=0\\\\y=0+3\\\\y=3\\\\Hence\ (0,3)\ is\ on\ the\ graph.[/tex]

x-intercept:

[tex]Substitute\ y=0\\\\0=-x+3\\\\x=3\\\\Hence\ graph\ passes\ through\ (3,0)[/tex]

Answer:22m+42

Step-by-step explanation:

7•2m =14m + 8m = 22m

7•6=42

Answer: 45

Step-by-step explanation:

A^2 + B^2 = C^2

27^2 + 36^2 = x^2

729 + 1296 = 2025

square root of 2025 = 45

X = 45

Step-by-step explanation:

We have,

[tex]\dfrac{20}{31}[/tex]

Show that [tex]\dfrac{20}{31}[/tex] is closer 66 % or 75 %.

∴ The percentage of [tex]\dfrac{20}{31}[/tex]

= [tex]\dfrac{20}{31}\times 100[/tex]

= [tex]\dfrac{2000}{31}[/tex]

= 64.516 %

≈ 66 %, shown.

Because the percentage of [tex]\dfrac{20}{31}[/tex] is 66 percent (%).

Thus, [tex]\dfrac{20}{31}[/tex] is closer 66 percent (%) , shown.

The fraction 20/31 is closer to 66%.

To determine which percentage 20/31 is closer to, we first need to convert the percentages into fractions and then compare them with 20/31.

66% can be written as a fraction as 66/100. Simplifying this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2 in this case:

[tex]\[ \frac{66}{100} = \frac{66 \div 2}{100 \div 2} = \frac{33}{50} \][/tex]

Further simplifying by dividing both by 11, we get:

[tex]\[ \frac{33}{50} = \frac{33 \div 11}{50 \div 11} = \frac{3}{5} \][/tex]

75% as a fraction is 75/100. Simplifying this fraction by dividing both the numerator and the denominator by 25, we get:

[tex]\[ \frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \][/tex]

Now we compare the fraction 20/31 with 3/5 and 3/4. To compare these fractions, we can find a common denominator or convert them to decimal form.

Converting to decimal form:

[tex]\[ \frac{20}{31} \approx 0.645 \] \[ \frac{3}{5} = 0.6 \] \[ \frac{3}{4} = 0.75 \][/tex]

Now we can see that 0.645 is closer to 0.6 than it is to 0.75. Therefore, 20/31 is closer to 66% (or 3/5) than it is to 75% (or 3/4).

Alternatively, we could also cross-multiply to compare the fractions directly:

For 20/31 and 3/5:

[tex]\[ 20 \times 5 = 100 \] \[ 31 \times 3 = 93 \][/tex]

Since 100 is greater than 93, 20/31 is greater than 3/5, but not by much.

For 20/31 and 3/4:

[tex]\[ 20 \times 4 = 80 \] \[ 31 \times 3 = 93 \][/tex]

Since 93 is much greater than 80, 20/31 is less than 3/4 by a larger margin than its difference with 3/5.

Thus, by both methods, we conclude that 20/31 is closer to 66%.

Based on the image we can see that angle B and angle E will be the same so we can write this into an equation.

x + 4 = 48°

Now, we can solve for x.

x + 4 - 4 = 48 - 4

x = 44 (answer)

Best of Luck!

Answer:

x=44

Step-by-step explanation:

I know because I had it!

x+4=48

x=48-4

x=44

Answer:

Step-by-step explanation:

Step-by-step explanation:

Let he owes x amount in taxes

He made amount last year = $68,000

His tax rate = 27%

So, he pays tax = 27% of the earning

So, A.T.Q.

27% times 68000 = x

{27}{100} times 68000 = x

27times 68000 = 100 times x

Answer:

[tex]5\frac{1}{3}\ in[/tex]

Step-by-step explanation:

we know that

The original scale factor is 1/80

That means

1 unit in the drawing represent 80 units in the actual

or

1 inch in the drawing represent 80 inches in the actual

step 1

Find the actual length with the original scale  

using proportion

[tex]\frac{1}{80}=\frac{12}{x}\\\\x=80(12)\\\\x= 960\ in[/tex]

step 2

The new scale drawing is

[tex]\frac{1}{180}[/tex]

That means

1 unit in the drawing represent 180 units in the actual

or

1 inch in the drawing represent 180 inches in the actual

step 3

Find the length of a new scale drawing  

using proportion

[tex]\frac{1}{180}=\frac{x}{960}\\\\x=960/180\\\\x= 5.33\ in[/tex]

Convert to mixed number

[tex]5.33\ in=5\frac{1}{3}\ in[/tex]

The actual length of the house if the scale is 1/80 is = 5 1/3 inches

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

Scale of the drawing =  dimensions of the scale drawing / dimensions of the original image.

Actual length when the scale was 1/80 = 80 x 12 = 960 inches

Actual length when the scale was 1/180 = 960 / 180 = 5 1/3 inches

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Answer:

a = 2 ; b = 12

Step-by-step explanation:

p(x)=x⁴ + ax³ - 7x² - 8x +b

p(x) is exactly divisible by (x + 2). So p(-2)=0

(-2)⁴ + a(-2)³ - 7(-2)² - 8(-2) +b = 0

16 - 8a - 7*4 +16 + b =0

16 - 8a - 28 + 16 + b =0

4 - 8a + b = 0

-8a +  b = -4 -----------(i)

p(x) is exactly divisible by (x + 3). So p(-3)=0

(-3)⁴ + a(-3)³ - 7(-3)² - 8(-3) +b = 0

81 -27a - 63 + 24 + b =0

42 - 27a + b = 0

-27a + b = -42 ------------(ii)

                    -8a +  b = -4 -----------(i)

                    -27a + b = -42 ------------(ii)

subtract            19a = 38

                           a = 38/19 = 2

a=2

Substitute a value in equation (i)

-8*2 + b= -4

-16 + b = -4

       b = -4 + 16

       b = 12

Answer:

x = 6/1.1

Step-by-step explanation:

hello :

1,331x^3 -216=0  means : x^3 = 216/1.331

x^3 = (6^3)/(1.1)^3   because : 216 = 6^3  and  1.331 = (1.1)^3

so : x^3 = (6/1.1)^3

x = 6/1.1

Answer:

There were 8 people on the bus when Paulina got on.

Step-by-step explanation: