The perimeter of a rectangle is equal to twice the sum of its length and its width. One rectangle has a length of 13 1/8 inches and a perimeter of 42 1/2 inches. Write an equation that can be used to find the width of the rectangle. Explain how you found your answer.

Answer:

x - 2y + 6 = 0  

Step-by-step explanation:

Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3.  Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.

Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get

2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3.  Then the slope-intercept form of the desired equation is y = (1/2)x + 3.  To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or

x - 2y + 6 = 0                                                                        

Answer:

The answer is solution D.

Step-by-step explanation:

130 + 12.50p ≤ 1500

The 130 is the setup fee

The 12.50 is the amount to pay per person

p means the number of people

The symbol ≤ means smaller than or equal to so it could be either of those

The 1500 is the max amount of money that they could spend for the party.

Answer:

3x+4y-7=0

Step-by-step explanation:

I've plotted both the points down and I've put the equation "3x+4y-7=0" and it went through both points. I've provided proof here.

The range of the data is 10.

Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.

Given is a box plot.

Range of a data set is the difference between the highest and the lowest point.

The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.

Here, whiskers extends from 5 to 15.

Range = Maximum - Minimum

          = 15 - 5

          = 10

Hence the range of the data set is 10.

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Answer:

3000

Step-by-step explanation:

First find the 4 digit numbers that have all odd digits

Possible Odd digits  =5(1,3,5,7,9)  

So, total number of 4 digit numbers with odd digits can be calculated as  =5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)

The first digit can be 2,4,6,8

=4×5×5×5=500

Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8

=5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8

Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8

=5×5×5×5=625

Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8

=5×5×5×5=625

Add them together

625+500+625+625+625=3000

Answer:

3000

Step-by-step explanation:

4*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5 = 3000

Answer:

The seccond one B

Step-by-step explanation:

Answer:

A) 2,010.62 ft^3

Step-by-step explanation:

V = (pi)r^2h

r = d/2 = 8 ft

V = (3.14159)(8 ft)^2(10 ft)

V = 2,101.62 ft^2

Answer:

[tex]1.\ 10+x+ 8 = 18+ x[/tex]

[tex]2.\ 9(3x) = 27x[/tex]

[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]

[tex]4.\ -5(4x) = -20x[/tex]

[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]

[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]

Step-by-step explanation:

Required

Solve each expression

[tex]1.\ 10+x+ 8[/tex]

Start by collecting like terms

[tex]10+ 8+x[/tex]

Add like terms

[tex]18+x[/tex]

The expression can't be solved further

Hence; [tex]10+x+ 8 = 18+ x[/tex]

[tex]2.\ 9(3x)[/tex]

Open the bracket

[tex]9 * 3x[/tex]

[tex]27x[/tex]

The expression can't be solved further

Hence, [tex]9(3x) = 27x[/tex]

[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]

Open bracket

[tex]\frac{1}{2} * 10x + 7 - 3[/tex]

[tex]5x + 7 - 3[/tex]

[tex]5x + 4[/tex]

The expression can't be solved further;

Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]

[tex]4.\ -5(4x)[/tex]

Open the bracket

[tex]-5 * 4x[/tex]

[tex]-20x[/tex]

The expression can't be solved further

Hence, [tex]-5(4x) = -20x[/tex]

[tex]5.\ 10 - 2 (8x) - 3[/tex]

Open Bracket

[tex]10 - 2 *8x - 3[/tex]

[tex]10 - 16x - 3[/tex]

Collect like terms

[tex]10 - 3 - 16x[/tex]

[tex]7 - 16x[/tex]

The expression can't be solved further

Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]

[tex]6.\ 3(7x) + 3 (-5)[/tex]

Open both brackets

[tex]3*7x + 3 * -5[/tex]

[tex]21x -15[/tex]

The expression can't be solved further

Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]

Answer:

Area = πr²

= π * 2²

= 3.14 * 4

= 12.6

Answer:

[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]

Given:

Radius of circle (r) = 2 cm

To Find:

Area of circle

Step-by-step explanation:

[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]

Answer:

y - 7 = (1/10)(x - 5)

Step-by-step explanation:

Next time please share the possible answers.  Thank you.

Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.

Using the point-slope formula, we get:

y - 7 = (1/10)(x - 5)

Answer:

Sorry it's 6,2,3. I didn't see the pic

Answer:angles 6, 3, 2

Step-by-step explanation:

The angles opposite are the same

Options

(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)

Answer:

(B) (-2,20)

Step-by-step explanation:

Given the objective function, C=3x-4y

The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.

Option A

At (9,0), x=9, y=0

C=3(9)-4(0)=27-0

C=27

Option B

At (-2,20), x=-2, y=20

C=3(-2)-4(20)=-6-80

C=-86

Option C

At (-5,2), x=-5, y=2

C=3(-5)-4(2)=-15-8

C=-23

Option D

At (0,-9), x=0, y=-9

C=3(0)-4(-9)=0+36

C=36

The lowest value of C is -86. This occurs at the vertex (-2,20).

Therefore, the objective function C=3x-4y is minimized at (-2,20).

Answer:

dt = 11,09 units

Step-by-step explanation:

Distance (d1) from office (-7,-5) to supermarket (-2 , -6)

over x-axis  -7 - (-2)  = 5 units    over y-axis  -5 + (-6)  1 unit

d1 = √ (5)² + (1)²    ⇒ d1 = √26

d1 = √26

Distance d2  between supemaket (-2 , -6) and her home       (4, -6 )

over x-axis 4 - (-2)  6 units  and 0 over ya axis

d2 = 6 units  

dt = d1 + d2

dt = √26 + 12

dt = 5,09 + 6

dt = 11,09 units

Answer:

f, g, and h only

Step-by-step explanation:

The letters are the variables.

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]\frac{29}{47} * 100[/tex]

▹ Step-by-Step Explanation

29 + 18 = 47 → 29/47

Total boys → 100

29/47 * 100

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

The answer is gonna be 29/47 * 100

Answer:

26.24 grams of total fat

Step-by-step explanation:

We can find how many grams of fat in the fries by multiplying:

64(0.41) = 26.24

The amount of grams of total fat did the French fries contain will be 26.24 grams.

The quantity of anything is stated as though it were a fraction of a hundred.

Bud’s French fries contained 41% of the daily total fat allowance for a 2,000 calorie diet.

If the recommended daily allowance of total fat for a 2,000-calorie diet is 64 grams.

Then the amount of grams of total fat did the French fries contain will be

⇒ 0.41 x 64

⇒ 26.24 grams

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Rational exponents are quite simple really.  For instance, 2 to the power of 1/2 is the square root of two.  You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number.  I know that sounds confusing, so I'll give a bunch of examples

2 to the power of 1/3

is the cube root of 2

2 to the power of 2/3

is the cube root of 2 to the power of 2, or the cube root of 4

2 to the power of 3/4

Is the 4th root of 2 to the power of 3, or the fourth root of 8

Hope it helps <3, if you have any questions just comment.

The required answer for the number of questions has been listed in the answer section.

Given that,
A number of questions are given

The function which is in format f(x) = a^x   where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x

Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²

Thus, the solution to the question is mentioned above.

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Answer:

48 degrees

Step-by-step explanation:

we know that the sum of all angles in a triangle is 180 degrees. so the equation would be 90+(10x-8)+(4x+28)=180 degrees. Simplify, and you should get x=5. so m∠C=48 degrees bc 4*5=20; 20+28=48 degrees.

Answer:

3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

   = 3(x² - 4x + 4) + 4

    = 3x² - 12x + 12 + 4

     = 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

Answer:

70

Step-by-step explanation:

Answer:

x+1/4 + x + 2/ 3

Step-by-step explanation:

To write x+1 /4 as a fraction with a common denominator, multiply by 3/3

To write x+2/3 as a fraction with a common denominator, multiply by 4/4

Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of  1

Combine the numerators over the common denominator

(x+1) x 3 + (x+2) x 4 / 12

Answer Is: 7x+ 11/ 12

Answer:

road side cabins

Step-by-step explanation:

Answer:

Solution,

Hypotenuse(h)= 25

Base(b)= 20

perpendicular (p)= X

Now,

Using Pythagorean theorem:

[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

x = 15

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 20² = 25² , that is

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Answer:

False.

Step-by-step explanation:

A function is usually a curve, first of all. And second, if you notice, y=3 through the whole table. Then it is a line, not a function.

Answer:

False.

Step-by-step explanation:

Y does not vary directly with X, as it remains constantly unchanged.

Step-by-step explanation:

you you can find the value of k by using the factor theorem.

The value of k will be;

⇒ k = 1

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Here, x+2 is a factor of x³ + 3x²+ kx - 2 .

Now,

Since, x+2 is a factor of x³ + 3x²+ kx - 2 .

Hence, x = - 2 in the polynomial we get;

⇒ x³ + 3x²+ kx - 2 .

⇒ (-2)³ + 3 × (-2)²+ k × - 2 - 2 = 0

⇒ - 8 + 3 × 4 - 2k - 2 = 0

⇒ - 8 + 12 - 2k - 2 = 0

⇒ 2 - 2k = 0

⇒ 2k = 2

⇒ k = 1

Thus, The value of k will be;

⇒ k = 1

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Answer:

Step-by-step explanation:

the order is 6

Answer:

17

Step-by-step explanation:

That makes it

10+2+5 =17

Answer:

16

Step-by-step explanation:

that makes this type

10+5+2 : 17