a rectangle with a perimeter of 32 inches has whole-number side lengths. what is the difference between the greatest and the least areas of the rectangle?

3p/8 - 13 = -25

3p/8 = -12 | * 8

3p = -96 | : 3

P = -32

The value of p is -32

see the image

That would be 70 percent.

what you do is take 5 away from 3. No! Borrow 1 Whole (9) and makes it 9 13/8 - 8 5/8 then subtract the 2 fractions

[tex] \frac{13}{8} - \frac{5}{8} ...[/tex]

and that is

[tex] \frac{8}{8} [/tex]

then convert that into 1 whole. Now add the whole to the 9 and thats 10. Now, subtract the 2 whole numbers. 10-8=2 so the answer is 2

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 10 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

Answer:

A,b,c

Step-by-step explanation:

P=1.8d-1.2s

P=180-1.2s

100=180-1.2s

-80=-1.2s

66.7=s

If they sold ≥67 sandwiches, p<100

If they sold ≤66 sandwiches, p>100

Therefore A, B and C are correct

Answer:   [tex]\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}[/tex]

Step-by-step explanation:

[tex]17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}[/tex]

Answer:

General quadratic form is 17x²- 12x + 0 = 0.

Step-by-step explanation:

Given  : 17x² = 12x.

To find : Write the quadratic equation in general quadratic form below.

Solution : We have given that 17x² = 12x.

General quadratic form is  : [tex]ax^{2} + bx + c = 0[/tex].

We have 17x² = 12x.

Convert it in to general quadratic form

On subtracting both sides by 12x .

17x²- 12x + 0 = 0.

Here a = 17 , b = - 12 , c = 0 .

Therefore, General quadratic form is 17x²- 12x + 0 = 0.

no its not l. the top is 3 the bottom is one

Answer:

464 in²

Step-by-step explanation:

Surface area of a figure is the total area of its sides.

We shall assume that the shape is a solid.

2 × (5 × 10) = 2 × 50 =  100

2 × 1/2 × 4(10+16) = 4 × 26 = 104

10 × 10 = 100

10 × 16 = 160

Total area = 100 + 104 + 100 + 160

                 = 464 in²

The surface area of a shape can be found by using specific formulas that differ depending on the shape's dimensions and type. For a sphere, the formula is A = 4πr², while for a rectangle, it's A = length × width. Other shapes like a cylinder require calculating the area of each side then adding them together.

In order to find the surface area of a shape, we first need to know the dimensions and type of the shape. For example, to find the area of a sphere, you'd use the formula A = 4πr², where 'r' is the radius of the sphere. To find the area of a rectangle, you'd use A = length × width.

If we're talking about a more complex shape, like a cylinder, we need to calculate the area of each face or side separately and then add them together for the total surface area. For example, the total surface area of a cylinder is given by A = 2πr(r + h), where 'r' is the radius of the base and 'h' is the height of the cylinder.

These are just a few examples. The calculation of the surface area will depend on the specific dimensions and type of the shape in question.

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Answer:

300 cm

Step-by-step explanation:

8 divided by 2=4 then square the 4

16

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.

In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.

Answer:

Option A. [tex]37.5\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6(b)^{2}[/tex]

where

b is the length side of the cube

In this problem we have

[tex]b=2.5\ cm[/tex]

substitute the value in the formula

[tex]SA=6(2.5)^{2}=37.5\ cm^{2}[/tex]

Answer:

if i had to say i would say B. 15 sq cm

Step-by-step explanation:

Area of a triangle is 0.5(base x height)

Base = 320mi

Height= 270+210= 480mi

0.5(480 x 320) = 76,800 miles squared

Step-by-step explanation:

350-40x>40

Now you subtract 350 from both sides. -40x is greater than negative 310. Divide by -40 on both sides and flip the sign since you are dividing by a negative. x<31/4 or 7.75, so round down and she can only have 7 exhibits

Answer:

she can have at most seven exhibits

Step-by-step explanation:

Thanks for using Brainly!

[tex]0.888 = 111/125 = 88.8percent[/tex]

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars

Given a sphere and a cylinder with the same radius, r, and the height of the cylinder equal to the radius, the sphere has a greater volume. This is concluded by comparing the volume formulas for a sphere (4/3πr³) and a cylinder (πr³).

The sphere and cylinder have the same radius, r, and the height of the cylinder, h, is equal to its radius, r. We'll calculate the volumes of both an apply our given conditions to see which figure has a greater volume.

The formula for the volume of a cylinder is Vcylinder = πr²h. In this case given that h=r, it becomes Vcylinder = πr³.

The formula for the volume of a sphere is Vsphere = 4/3πr³.

Comparing both, we definitely see that the sphere with a volume of 4/3πr³ is greater than the cylinder with a volume of πr³

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Answer: [tex]x=-\dfrac{3}{2}, 7[/tex]

Step-by-step explanation:

[tex]2x^2-10x-26=x-5[/tex]

[tex]2x^2-10x-26-x+5=0[/tex]  Move all terms to one side

[tex]2x^2-11x-21=0[/tex] Simplify [tex]2{x}^{2}-10x-26-x+5[/tex]

[tex]2x^2+3x-14x-21=0[/tex] Split the second term

[tex]x(2x+3)-7(2x+3)=0[/tex]  Factor out common terms in the first two terms, then in the last two terms.

[tex](2x+3)(x-7)=0[/tex] Factor out the common term [tex]2x+3[/tex]

[tex]x=-\dfrac{3}{2}, 7[/tex]

Answer:

x = -3/4 and 7/2 will be your final answer, but check below for a correction on your work

Step-by-step explanation:

***Your work is incorrect, it should be

2x² - 11x - 21 = 0

you need to subtract an 'x' from both sides, and add 5 to both sides...you added an x to the left side and subtracted a 5 from the left side instead***

I'll solve this so in case you will need help on it too.

Now you'll have

x = (11 ± √[(-11²) - 4(2)(-21)])/([4(2)]

x = (11 ±  √289)/8

x = (11 ± 17)/8

x = (11 + 17)/8 = 28/8 = 7/2

or

x = (11 - 17)/8 = -6/8 = -3/4

Answer:

a. 6

b. 9

c. 4

Step-by-step explanation:

a.

Range = greatest - smallest

Range = 85 - 79

Range = 6

b.

b > 81

82, 83, 84...

3 82s

4 83s

2 85s

3 + 4 + 2 = 9

c.

b = 83

4 83s

4

Answer:

compound interest

Step-by-step explanation:

2000 * 20 to power of 3

well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.

what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.

the answer will be -11/5. i

Answer:

x=  - 2 and 1/5

Step-by-step explanation:

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

Answer:

t=5

Step-by-step explanation:

t=√25=t=5

Answer:

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge

Cube A:

a = 8in. Substitute:

[tex]V_A=8^3=512\ in^3[/tex]

Cube B:

a = 5in. Substitute:

[tex]V=5^3=125\ in^3[/tex]

[tex]\dfrac{V_A}{V_B}=\dfrac{512}{125}=4.096\approx4.1[/tex]

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

Answer:

30 cm

Step-by-step explanation:

The area of a parallelogram is given by  [tex]A=bh[/tex]

Where

A is the area

b is the base, and

h is the height

Since A and h are given, we plug that in and find the base. Shown below:

[tex]A=bh\\127\frac{1}{2}=b(4\frac{1}{4})\\b=\frac{127\frac{1}{2}}{4\frac{1}{4}}\\b=\frac{\frac{255}{2}}{\frac{17}{4}}\\b=\frac{255}{2}*\frac{4}{17}=30[/tex]

Hence, the base is 30 centimeters

Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}

C . Permutation number of ways = 1

Answer:

The answer in the procedure

Step-by-step explanation:

we have

x+2y > 6

Isolate the variable y

y > -0.5x+3

The solution of this inequality is the shaded area above the dashed line

The equation of the dashed line is y=-0.5x+3

The slope of the dashed line is negative (m=-0.5)

The y-intercept of the dashed line is 3 (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is 6 (value of x when the value of y is equal to zero)

Plot the intercepts to draw the dashed line and shaded the area above the dashed line

see the attached figure

The answer is:

The telephone pole is 20.8 foot tall.

Since it's not mentioned, we can assume that both, man and the telephone pole are close, so, if two similar triangles are created, we know that both shadows are proportional and we can find the telephone pole height creating a proportionality relationship.

We can find the telephone pole height using the following equation,

[tex]\frac{ManHeight}{ManShadow}=\frac{PoleHeight}{PoleShadow}[/tex]

Were,

Man height is 6 foot

Man shadow  is 4.5 feet long

Telephone pole shadow is 15.6 feet long.

So, substituting we have:

[tex]\frac{6}{4.5}=\frac{PoleHeight}{15.6}[/tex]

[tex]PoleHeight=15.6*\frac{6}{1.5}=20.8ft[/tex]

So, the telephone pole is 20.8 foot tall.

Have a nice day!