Al and his sister share a pizza cut into six equal pieces.
Ali eats of all the pieces. His sister eats of the remaining pieces.
After both Ali and his sister have eaten, what fraction of the pizza is left?

Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

[tex]\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes[/tex]

Answer:

5 won 4 games last year . This is the best prediction based on the lime fit

Answer:

5/18

Step-by-step explanation:

Here,

total numbering balls n(S) = 18

total number of winning balls n(B) = 5

Therefore,

Probability or winning chances P(B)=

n(B)/n(S)

= 5/18

Answer:

2 hours 15 minutes

Step-by-step explanation:

7+2 =9

00+15 =15

Answer:

2 hours and 15 minutes

Step-by-step explanation:

2 hours and 15 minutes

7pm - 8pm = 1 hour

8pm - 9:15 = 1 hour 15 minutes

1 hour + 1 hour +15 minutes = 2 hours 15 minutes

Answer:

33.6

Step-by-step explanation:

Hyp = 24

theta = x

Adj = 20

we have h and a so you CAH

costheta = (20/24)

theta = cos^-1(20/24)

Answer:

{x : x > 5}

Step-by-step explanation:

-4x - 5 < -25

-4x < -20

When dividing/multiplying both sides with a negative number, change the inequality symbol to the opposite direction. e.g. < to > or > to <.

x > -20/-4

x > 5

Hence, the solution set is {x : x > 5}.

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Answer:

  3%

Step-by-step explanation:

The interest on the account is given by the simple interest formula:

  I = Prt

where I is the interest, P is the principal invested, r is the annual rate, and t is the number of years

  375 = 2500r(5) . . . . . . using the given values in the formula

  375/12500 = r = 0.03 . . . . . divide by the coefficient of r

Sonnie's account had a 3% interest rate.

Answer:

amount of paint:

If divide into 6 jars:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

let's solve ~

Total jars = 6

Total cups of blue paint :

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + (1 \times 3) + 1 \frac{1}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + 3 + \frac{3}{2} + 2[/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{1 + 6 + 3 + 4}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: \frac{14}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:7 \: cups[/tex]

So, teacher distributes all blue paint equally in each jar, then amount of paint in each jar is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{7}{6} [/tex]

[tex]\qquad \tt \dashrightarrow \:1 \frac{1}{6} \: \: cups[/tex]

So, option B is correct

Answer:

18

Step-by-step explanation:

We can rewrite the question into mathematical forms, such as:

[tex]\frac{3}{1} =\frac{x}{6}[/tex]

solve for x:

[tex]\frac{3}{1} =\frac{x}{6} \\\\3*6=\frac{x}{6}*6\\\\18=x[/tex]

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

Answer:

3861444226895040

Step-by-step explanation:

You do not want to know.

Answer:

There are 3 feet in one yard, so each foot is 1/3 of a yard/

To find the percentage of each foot, divide 1 by 3

One foot is 33 1/3 percent of a yard.

Twelve inches is 33.33 percent of a yard.

Percentage is defined as a number that can be expressed as a fraction of 100.

The statement is

Twelve inches is what percent of a yard

12 inches in terms of % yard

1 inch = 0.0277778 yard

12 inches = 0.333336 yard

In percentage = 33.33 % yard

To know more about Percentage

https://brainly.com/question/13450942

#SPJ2

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3.

A function is differentiable in a given interval if and only if its derivative exists for every value of the interval. To determine the absolute maximum of n(x), we need to integrate the given function, apply first derivative and second derivative test and finally evaluate n(x).

First, we integrate n'(x) in terms of x:

n(x) = 2 ∫ sin 2x dx = 2 · (- 0.5 · cos 2x) + C = - cos 2x + C

- cos 0 + C = 0

C = 1

Then, n(x) = 1 - 2 · cos 2x.

Now we proceed to apply first and second derivative tests:

2 · sin 2x = 0

sin 2x = 0

2 · x = sin⁻¹ 0

2 · x = π ∨ 2π

x = 0.5π ∨ π

n''(x) = 4 · cos 2x

n''(π) = 4 · cos 2π

n''(π) = 4

There is an absolute minimum for x = π. [tex]\blacksquare[/tex]

n''(0.5π) = 4 · cos π

n''(0.5π) = - 4

There is an absolute maximum for x = 0.5π. [tex]\blacksquare[/tex]

Finally, we evaluate n(x) for x = 0.5π to determine the absolute maximum:

n(0.5π) = 1 - 2 · cos π

n(0.5π) = 3

The absolute maximum of n(x) = 1 - 2 · cos 2x, whose first derivative is n(0) = 0, exists at x = 0.5π on (0, 2π]. The value of the absolute maximum is 3. [tex]\blacksquare[/tex]

The statement of the question is poorly formatted and reports several mistakes, correct form is introduced below:

If n'(x) = 2 · sin 2x and n(0) = 0. What is the absolute maximum of n(x) on (0, 2π]?

To learn more on derivative tests, we kindly invite to check this verified question: https://brainly.com/question/6097697

equation: 3+x=

anthony= 3 years older

x= age of his brother

You must add 3 more years to the brother's age.

Answer:

That would be (2, infinite)

Step-by-step explanation:

hope this helps

Answer:

3.

Step-by-step explanation:

You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.

"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle

Answer:

280°

Step-by-step explanation:

There are 360° in a circle. you are given an arc that is 80°.

To find the arc JKI, subtract 80 from 360.

360 - 80 = 280°

Answer:

[tex]\huge{\boxed{\bf\:1.79 * p}[/tex]

Step-by-step explanation:

Given,

If pounds of peaches = p, then,

Cost of p pounds of peaches

= Cost of 1 pound × p pounds of peaches (p)

= 1.79 × p

[tex]\rule{150pt}{2pt}[/tex]

Answer:

m = ± [tex]\sqrt{n}[/tex]

Step-by-step explanation:

m² = n ( take square root of both sides )

m = ± [tex]\sqrt{n}[/tex]

Answer:

y = 40

Step-by-step explanation:

y = k/x²

Let a = the x-value corresponding to y = 10

For x = a, y = 10

10 = k/a²

k = 10a²

The function is:

y = 10a²/x²

Now we halve the x-value a:

Let x = a/2.

y = 10a²/x²

y = 10a²/(a/2)²

y = 10a²/(a²/4)

y = 40

Identify the variable expression that is “not” a polynomial.

Try looking for the one that breaks the rules of it being a polynomial.

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

I could help you with math