after spending $5 on ice cream, payton had $20 left. how much money did payton have to begin with

Answer:

11.08 cm/s

Step-by-step explanation:

Here it is given that the edges of a cube are increasing at a rate of 6.4 cm/s . And we need to find out the rate at which the diagonals are increasing . If we assume each side of the cube to be x , then ;

[tex]\longrightarrow \dfrac{da}{dt}= 6.4 \ cm/s\dots (i) [/tex]

Now we can find diagonal as ,

[tex]\longrightarrow d = \sqrt{ length^2+breadth^2+height^2} [/tex]

Here l = b = h = a ; so ,

[tex]\longrightarrow d =\sqrt{ a^2+a^2+a^2} [/tex]

Simplify,

[tex]\longrightarrow d =\sqrt{3a^2} [/tex]

Take out a from square root,

[tex]\longrightarrow d =\sqrt3 a[/tex]

Now , we can find the rate of change of diagonal as ;

[tex]\longrightarrow r =\dfrac{d\sqrt3 a}{dt} [/tex]

Take out the constant,

[tex]\longrightarrow r = \sqrt3\dfrac{da}{dt} [/tex]

From equation (i),

[tex]\longrightarrow r = 1.732 \times 6.4 \ cm/s [/tex]

Multiply ,

[tex]\longrightarrow \underline{\underline{ rate_{of\ change \ of \ diagonals}= 11.08\ cm/s}}[/tex]

This is the required answer!

If the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s

The diagonal of a cube of side length S is given by:

d = S*√3

In this case, we know that the side length increases at a rate of 6.4 cm/s, then we can write:

S = S₀ + 6.4cm/s*t

Where S₀ is the initial side length, replacing that on the diagonal formula we get:

d = (S₀ + 6.4cm/s*t)*√3

Now if we differentiate it with respect to the time t, we get:

d' = 6.4cm/s*√3 = 11.1 cm/s

So, if the side length increases at a rate of 6.4 cm/s, then the diagonal increases at a rate of 11.1 cm/s.

If you want to learn more about rates of change, you can read:

https://brainly.com/question/8728504

Answer:

(2x4 + 11x2 - 5)

Step-by-step explanation:

((2•(x5))+(7•(x3)))-(5x-22x3)

((2 • (x5)) +  7x3) -  (5x - 4x3)

(2x5 +  7x3) -  (5x - 4x3)

2x5 + 11x3 - 5x  =   x • (2x4 + 11x2 - 5) 

Factoring  2x4 + 11x2 - 5 

Multiply the coefficient of the first term by the constant  2 • -5 = -10  

Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   
10   +   1   =   -9   
-5   +   2   =   -3
-2   +   5   =   3     
-1   +   10   =   9

Hope this helps!

Answer:

A , D

Step-by-step explanation:

A. = 4k+12

B. =30k+6

C. =40k+3

D. =4k+10+2= 4k+12

Answer:

2 3/4 (two and three fourths)

Step-by-step explanation:

The solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The meaning of circle in number line,

The number line going from negative 5 to positive 5 and a solid circle appears between positive 4 and positive 5. The middle point of 4 and 5 is 4.5.

The solid or closed circle means that the value has less than or equal to 4.5. Thus, the solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

Learn more about the number line here;

https://brainly.com/question/24644930

Answer:

  (b)  19.6 square feet

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr²

If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...

  A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²

The area of a base circle is about 19.6 square feet.

Answer:

19.6 square feet

Step-by-step explanation:

Answer:

= $25.63 - $16.43

=$9.2

Jenny will still owe her sister $9.2

Answer:

Jenny owe her sister 9.3 dollars

Step-by-step explanation:

25.63 - 16.33

= 9.3

Answer:

The first multiple-choice doesn't represent a function  

Step-by-step explanation:

(-4,3),(1,-6),(-8,-1),(1,9)

because a function has two pairs with the same x value

*hope that makes sense*

Answer:

24π

Step-by-step explanation:

Circumference of a circle = πd

d = diameter

Step-by-step explanation:

so the formula for circumference is 2 pie r

d= 24

so obviously r=12

2×22/7×12= 75.42 and

ans= 24pie

Sure

Answer:

x = -2

If the steps aren't belong to the lesson that you want, just tell me the lesson title so I can get the answer for you !!!!

...

The steps

Multiply all terms by (x-3)(x+3) and cancel:

x(x+3)+2x(x−3)=18

3x2−3x=18(Simplify both sides of the equation)

3x2−3x−18=18−18(Subtract 18 from both sides)

3x2−3x−18=0

3(x+2)(x−3)=0(Factor left side of equation)

x+2=0 or x−3=0(Set factors equal to 0)

x=−2 or x=3

Check answers. (Plug them in to make sure they work.)

x=−2 (Works in original equation)

x=3 (Doesn't work in original equation)

Answer:

Step-by-step explanation:

a, compares to 50 beacuse a means the staying point ; slope, so that’s why it starts at 50.

b, compares to 3 beacuse that is the y-intercept

Answer:

Step-by-step explanation:

m∠e = m∠a ( Corresponding Angles)

Answer:

9/20  also 45%

Step-by-step explanation:

well if 20 of them 9 are brown so 9 out of 20 of them are brown/45% of them because out of 20 each thing right or each person is 5%

Answer:

45/100 out of the 20 chickens are brown

Step-by-step explanation:

9/20 = 45/100

9/20 x 5 = 45/100

Answer:

Area for Triangle is: 1/2bh or bh/2

Area for Trapezoid (As shown in picture):

1/2h(b1+b2)

You’d have to do 1/2 x 18(15+37) for the quesyion in the picture

Hope this helped!

Answer:

[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]

Answer:

$1.45 is the unit price

Step-by-step explanation:

$13.12 total / 9 bottles = $1.45 per bottle

To solve this problem, we can use cross multiplication:

First, we can to convert inches into feet so...

5 inches = 0.416667 ft

7 inches = 0.583333 ft

(0.416667 ft/ 0.583333 ft) = (12 ft/ x ft)

x = 16.8 ft

So the actual width is 16.8 ft.

Hope this helps!

Answer:

H(2,-6)

Step-by-step explanation:

reflection over the x-axis results in the y-coordinate getting the opposite sign

Answer:

1

Step-by-step explanation:

Ratio between ABC and ADE
BC/DE = AB/AE

1/9 = x/9
x=1

Answer:

The answer is below.

Step-by-step explanation:

Answer:

Learn PEMDAS on YT

Step-by-step explanation:

Answer:

1757.5

Step-by-step explanation:

10% of $1,850 is 185

5% of 185 is 92.5

1,850 minus 92.5 = 1757.5

please mark brainliest if this helped!

Answer:

b) $1,757.50

Step-by-step explanation:

15. 1,850 * 5

     1,850 * 0.05 = 92.5 (how much was discounted)

1,850 - 92.5 = $1,757.50

Hope this helps!

Answer:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Step-by-step explanation:

Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.

Answer:

D) 1.23

Step-by-step explanation:

There are infinitely many numbers that are between 1.2 and 1.3 really, but given the answer choices, D is the correct one.

Check the picture below.

Answer:

70.8

Step-by-step explanation:

Answer:

I think it's 56 is the answer

Answer:

Attached is what the graph should look like.

Step-by-step explanation:

|2x + 2| > 4

Separate the equations into two different ones:

2x + 2 > 4                                                    2x + 2 < - 4

     - 2  - 2                                                         - 2     - 2

2x > 2                                                           2x < -6

/2   /2                                                            /2    /2

x > 1                                                              x < -3

Hope this helps!