6. The formula for the perimeter of a
rectangle is P = 2L + 2W.

a. Solve the equation for W.

b. Using your equation in a, find the width of a
rectangle that has a perimeter of 244 inches
and a length of 59 inches.

The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.

As given,

Payment done for car every month = $423.22

Payment done for car insurance = $98.30

Total payment done by Mr. Jones every month = $ (423.22 + 98.30)

                                                                          = $521.52

Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.

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Answer:

128 feet²

Step-by-step explanation:

48 = x + x + 2x + 2x = 6x

x = 8

x × 2x = 8 × 16 = 128

Answer:

Step-by-step explanation:

Y-3x=13+3x

Answer: 5 cm

Step-by-step explanation:

We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:

(3x + 2x) * 4 = 100

5x * 4 = 100

20x = 100 (divide by 20)

x = 5 (cm)

Answer:

11

Step-by-step explanation:

3 + 2 × 4 ( multiplication before addition )

= 3 + 8

= 11

Answer:

24; 0

Step-by-step explanation:

Absolute value means number of the value away from zero, either positive or negative.  So the absolute value of -24 (for example) is 24 because it is 24 integers away from zero.

No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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Answer:

64 and 13 I hope this helps

Step-by-step explanation:

By using simple rule of three, a period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.

One year on Earth is equivalent to 365.3 days and one year on Venus is equivalent to 224.7 days, the equivalent terrestrial time of 9.5 years on Venus is found by simple rule of three:

x = 9.5 yr × (224.7 days / 1 yr)

x = 2134.65 days

A period of 9.5 years on Venus is equivalent to 2134.65 terrestrial days.

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Answer: 5.175

Step-by-step explanation: 18 - 9.7 - 3 1/8 = 5.175

The number of days on Earth, in decimal form that, are equivalent.to 9 years on Venus will be 2022.3 days.

From the information, one year on Venus is equivalent to 224.7 days on Earth.

Therefore, the number of days on Earth, in decimal form that, are equivalent to 9 years on Venus will be:

= 224.7 × 9

= 2022.3 days.

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Answer:

2022.3

Step-by-step explanation:

Answer:

2x-16=10

Step-by-step explanation:

16 less is -16

twice a number is 2x because the number is unknown

Answer: 2n-16= 10

Step-by-step explanation:

Let's break this sentence into parts.

"16 less than": always translates to something -16. Hack: Whenever you see "something less than" you put a subtraction sign and that number on the right side. just like "5 less than" becomes something -5.

'twice a number': 2 times a number's value, or 2 times the number. let's say the number is 4. "twice the number" means to double it's value. 4x2=8. In this case, you  write 2n.

- 2n translates to "2 times a number". A number next to a letter means they're being multiplied.

"is 10": =10. Hack:  "is" always becomes an equals sign.

Combine

16 less than , twice a number, is 10.

2n - 16= 10

Free questions with clear explanations on this skill here:

https://www.ixl.com/math/grade-7/write-an-equation-from-wordshttps://www.ixl.com/math/grade-7/write-an-equation-from-words

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The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)

A quadratic function is one of the following: f(x) = ax2 + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function. Parabolas can expand up or down, and their "width" or "steepness" can vary, but they all share the same basic "U" shape.

The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3)

We utilize equation when p and q are the roots.

y = a(x- p)(x-q)

We are given with roots 4  and -2

y = a(x- 4)(x-(-2))

y = a(x- 4)(x + 2)

Now we use the given point (3,-3) to find out 'a'

3 = a(3- 4)(3 + 1)

3= a(-1)(-2)

3= 1a

a = 1/3

Replace the value of 'a'

f(x) = 1/3(x-4)(x-2)

The quadratic function given the roots (4, 0) and (-2, 0) and the point (3, -3) = 1/3(x-4)(x-2)

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(x+3i)(x-3i)

A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = √-1 and both a and b are real numbers.

Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.

Using complex numbers,

x²+81 = x² - (-9i)²

           = (x²- 9²i²)

           = (x+3i)(x-3i)

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the answer for given expression is 54

How do you define expression in math?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

the given expression is

[tex]-k^2 - (4k-7n)+3n\\-k^2 -4k +7n+3n\\put k = -2 and n=5\\-( -2)^2 - 4(-2) + 10 *5\\-4 +8+50\\54the answer for given expression is 54[/tex]

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1.545 is  the riemann sum of the function .

What does Riemann sum do?

f(x) = x

p = { 1, 1.2 , 1.7 , 2}

c = { 1.1, 1.45,2}

fpr the interval  ( 1, 1.2) Δx = 0.2

                          ( 1.2, 1.7 ) Δx = 0.5

                           ( 1.7 , 2 )  Δx = 0.3

R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 +  f(0)0.3

             = (1.1) × 2  + ( 1.45) ×( 0.5) +  2 × 0.3

             = 0.22 + 0.725 + 0.6

             = 1.545

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Answer:

down below

Step-by-step explanation:

Top left: X is greater than or equal to 3. Top right: X is less than or equal to 3. Bottom left: X is greater than 3. Bottom right: X is less than 3.

The greater than or equal to sign and the less than or equal to sign has a closed circle because it is marking the point and moving forward or back. Ex: less than or equal to 3. It would be a closed circle because it is the specific point and what ever is beyond or behind it. The less than or greater than sign would have a closed circle because it is only what is beyond or behind the certain number.

Hope this helps! :)

Answer: Sym. Prop. of ≅

Step-by-step explanation:

no explanation

The name of the metric system prefix are :  10^-6: micro , 1/100: centi , 0.001: milli, 1000: kilo

In mathematical exponents, prefixes are referred to as the alphabetic names related to the mathematical factors, such as 10⁻⁹:  it nano ,10⁻¹²: Pico and so on.In order to identify the prefixes of the metric system, we first convert from factor to exponent form.

such :

10^-6  is micro  

1/100 = 0.01x 10^2: centi

0.001 = 1x 10 ^-3 : milli

1000 =  1x 10^3 : kilo

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Write the name of the metric system prefix associated with each mathematical factor. Do not use any hyphens in your answers and do not abbreviate the prefixes. Spelling counts.

10^-6 ______________

1/100 ______________

0.001 _____________

1000 ______________

Answer:

y=4x-1

Step-by-step explanation:

to find the slope you use this equation

(y2-y1) / (x2-x1)

you also need y=mx+b to write in your final equation for the slope,

m is the slope and b is the y intercept (where the point meets the y axis, horizontal line that goes like this | )

first, you got lucky this equation gave you the b value( remember, b is the y intercept) , which you can find when x is 0.

to find the slope we choose any two coordinates (x,y) from the table

i choose (0,-1) and (5,19)

and we put this in this formula

(y2-y1) /

(x2-x1)

(19+1) it’s plus because subtracting a negative - - makes it positive

so

(19+1)/

(5-0)

= 20/5 which is 4. so m( the slope) m=4

now that we have b=-1 and m=4 we can write the final answer equation

which is

y=4x-1

Answer:

−8x − 12y − 18q − 42p

Step-by-step explanation:

-4 x 3y = -12y and only number 2 is correct

The solution is Option B.

The value of the equation is A = -8x - 12y - 18q - 42p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = -4 ( 2x + 3y ) - 6 ( 3q + 7p )

Now , on simplifying the equation , we get

A = -4 ( 2x ) - 4 ( 3y ) - 6 ( 3q ) - 6 ( 7p )

The  value of A = -8x - 12y - 18q - 42p

Therefore , the value of A is -8x - 12y - 18q - 42p

Hence , The value of the equation is A = -8x - 12y - 18q - 42p

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Answer: 7.49%

Step-by-step explanation: i got it right on edg

Answer:

7.49%

Step-by-step explanation:

Light is about 874052.5 times faster than sound

From the question, we are to determine the magnitude by which light is faster than sound

From the given information,

The speed of light is about 2.998 x 10⁸ meters per second.

and

The speed of sound is about 343 meters per second.

To determine how many rimes faster the speed of light is than the speed of sound, we will divide the speed of light by the speed of sound

That,

The magnitude by which light is faster than sound = (2.998 x 10⁸) / 343

The magnitude by which light is faster than sound = 874052.5

Hence, light is about 874052.5 times faster than sound

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Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

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Answer:

6 trust me

Step-by-step explanation:

The domain of the graph in set builder notation is; x ≤ -2 or x ≥ 1

The range of the graph in set builder notation is; y ≥ -2 or y ≥ 1

Domain refers to the set of all possible input values and Range refers to the set of all possible output values generated by the function.

Now, from the given graph, we can see that there are two lines. Thus;

Domain of left graph line is; x ≤ -2

Domain of right graph line is; x ≥ 1

Thus, the domain of the graph in set builder notation is;

x ≤ -2 or x ≥ 1

Similarly, the range is as follows;

Range of the left graph line is; y ≥ 1

Range of the right graph line is; y ≥ -2

Thus, the range of the graph in set builder notation is;

y ≥ -2 or y ≥ 1

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