Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?

Answer:

774

Step-by-step explanation:

38*15=570

17*12=204

570+204=774

Answer:

It is 43%.

Step-by-step explanation:

I took the 400 and divided it by the 925. I got 0.43 and moved the decimal point over 2 spots and the answer is 43%.

Have a good day!

Let k = 1, for a start. By definition of the Laplace transform,

[tex]\displaystyle F(s) = \int_0^\infty f(t) e^{-st} \, dt[/tex]

Differentiate both sides with respect to s :

[tex]\displaystyle F'(s) = \frac{d}{ds} \int_0^\infty f(t) e^{-st} \, dt[/tex]

[tex]\displaystyle F'(s) = \int_0^\infty \frac{\partial}{\partial s}  \left[f(t) e^{-st}\right] \, dt[/tex]

[tex]\displaystyle F'(s) = \int_0^\infty -t f(t) e^{-st} \, dt[/tex]

so that [tex]t f(t) \leftrightarrow (-1)^1 F^{(1)}(s) = -F'(s)[/tex] is indeed true.

Suppose the claim is true for arbitrary integer k = n, which is to say that [tex]t^n f(t) \leftrightarrow (-1)^n F^{(n)}(s)[/tex]. Then if k = n + 1, we have

[tex]F^{(n+1)}(s) = \dfrac{d}{ds} F^{(n)}(s)[/tex]

Consider the two cases:

• If k = n + 1 is even, then n is odd, so

[tex](-1)^n F^{(n)}(s) = -F^{(n)}(s) \leftrightarrow t^n f(t)[/tex]

and it follows that

[tex]F^{(n+1)}(s) = \displaystyle \frac{d}{ds} \left[-\int_0^\infty t^n f(t) e^{-st} \, dt \right][/tex]

[tex]F^{(n+1)}(s) = \displaystyle -\int_0^\infty \frac{\partial}{\partial s}\left[ t^n f(t) e^{-st} \right] \, dt[/tex]

[tex]F^{(n+1)}(s) = \displaystyle \frac{d}{ds} \left[-\int_0^\infty t^n f(t) e^{-st} \, dt \right][/tex]

[tex]F^{(n+1)}(s) = \displaystyle \int_0^\infty t^{n+1} f(t) e^{-st} \, dt[/tex]

[tex]\implies F^{(n+1)}(s) = (-1)^{n+1} F^{(n+1)}(s) \leftrightarrow t^{n+1}f(t)[/tex]

• Otherwise, if k = n + 1 is odd, then n is even, so

[tex](-1)^n F^{(n)}(s) = F^{(n)}(s) \leftrightarrow t^n f(t)[/tex]

The rest of the proof is the same as the previous case.

So we've proved the claim by induction:

• [tex]t f(t) \leftrightarrow -F(s)[/tex], and

• [tex]\bigg(t^n f(t) \leftrightarrow (-1)^n F^{(n)}(s)\bigg) \implies \bigg(t^{n+1} f(t) \leftrightarrow (-1)^{n+1} F^{(n+1)}(s)\bigg)[/tex]

Answer: Sorry, I had a different problem than you so this answer isn't correct for the OP but hopefully it shows you how to solve.

x=27/5

The scale factor is 7:3

Step-by-step explanation:

Answer:

or,180=3x

or,x=180+3

or,x=183 answer

Answer:

54

Step-by-step explanation:

there are 2 ways

(180 - 18) ÷ 3 = 54

(360-18-18) ÷ 6 = 54

same answer

We have :

s - 39⁰+ s - 9⁰ = s + 29⁰

s + s - s = 29⁰ + 9⁰ + 39⁰

s = 77⁰

Answer: 77⁰

Ok done. Thank to me :>

Now,

Volume = L × B × H

Volume = (L × B) × H

Volume = Area × H

Volume = 10/3 × 7/5 units

V = 70/15 = 14/3 or 4.7 cubic units

Thus, The answer is 14/3 or 4.7 cubic units

-TheUnknownScientist 72

Answer:

Not proportional

Step-by-step explanation:

Not proportional because the line has to go through the origin

The y-intercept has to be 0, but here it is given as -4

The graph goes 4 units below the origin on the y-axis.

The correct equation would be y = 3/7x

-Chetan K

Answer:

this should help

Step-by-step explanation:

U dont have to believe  me ;-;

Answer:

36

Step-by-step explanation:

24×1.5

tips to answer quickly:

1.5 is the same as 1 + [tex]\frac{1}{2}[/tex]

(1×24)+([tex]\frac{1}{2}[/tex]×24)

24+12

36

Answer:

circle: 2, 1/2

square: 1 1/2, 3 1/2

triangle: 0, 4 1/2

Answer:

Square X-coordinate: 1 and 1/2

Square Y-coordinate: 3 and 1/2

Triangle X-coordinate: 0

Triangle Y-coordinate: 4 and 1/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the reason why is because if you put 3 dollars in for the notebooks right you have 3x3=9 and that one pen will be 2 dollars. Now you have 3×2=6 and then the two notebooks will be 6 and you add that and get 12. Hope this helps

Answer:

One notebook is $3.00

Step-by-step explanation:

3x + 2y = $12

1x + 3y = $11

Add -3y to the second equation

x = 11 - 3y

Substitute ( 11 - 3y ) for x in 3x + 2y = 12

3 ( 11 - 3y ) + 2y = 12

33 - 9y + 2y = 12

33 - 7y = 12

Add -33 to each side

-7y = -21

Divide each side by -7

y = 3

substitute 3 for y in x = 11 - 3y

x = 11 - 3(3)

x = 11 -9

x = 2

One notebook is $3.00

Answer: Approximately 0.00004597583714

===================================================

Explanation:

Four-of-a-kind is when you get four cards of the same value. One example is if we got four aces. Any four-of-a-kind already has two pairs built into it. I'm assuming your teacher wants four-of-a-kind and another different pair (we'll have 6 pairs all together).

In any suit there are 13 unique cards. So there are 13 choices to fill the first four slots to set up the four-of-a-kind.

-------------

After the four-of-a-kind is formed, we have 13-1 = 12 unique cards left in any given suit. Once that fifth card is chosen, we then have 4 C 2 = 6 ways to select that final card such that we get another pair. I'm using the nCr combination formula since order doesn't matter. The steps to calculating this value (and the other nCr value mentioned later) is shown in the attached image below.

Multiplying those values gets us 13*12*6 = 936 different six card hands such that we get four-of-a-kind and a different pair.

-------------

This is out of 52 C 6 = 20,358,520 different six card hands.

Divide the two values found

936/(20,358,520) = 0.00004597583714

Answer:

[tex] \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}[/tex]

Step-by-step explanation:

Given:

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

And,

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

To Find:

The Area of Shaded region

Solution:

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

[tex] \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}[/tex]

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

[tex] \tt\longrightarrow \: Area =B×h-l×b [/tex]

Put their values accordingly:

[tex]\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} [/tex]

Simplify it.

[Follow BODMAS Rule strictly while simplifying]

[tex] \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} [/tex]

[tex] \tt\longrightarrow \: Area = 39 \: {in}^{2} [/tex]

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

[tex] \rule{225pt}{2pt}[/tex]

I hope this helps!

Answer:

8 10

Step-by-step explanation:

maybe this will help you

Answer:

248

Step-by-step explanation:

I'm not completely sure but hope this helps

Answer:

220 cm²

Step-by-step explanation:

area of rectangle:

Length * Width

18 * 11

198 cm²

Triangle area:

1/2 * base * height

1/2 * (18-7)(15-11)

1/2 * 11 * 4

22 cm²

So total area: 198 cm² + 22 cm² = 220 cm²

Answer:

Statement 1 is false, statement 2 is true.

Step-by-step explanation:

The triangle has been dialated by a scale factor of 2.5

It's given that, the hardware store stocks 85 reels of garden hose. Each of them measure to be of 30 m.

Total length of hoses = 85 × 30

= 2550 m

= 2.550 km

= 2.5 km (approx.)

2.5 km of garden hose are stocked by the store.

Answer:

45

Step-by-step explanation:

-45 + 30 gives you -15. When subtractinf a negative number, it actually turning into addition/positive. This changes it into -15 + 60, which is 45.

Answer: 45

Step-by-step explanation:

-45+30-(-60)=
First, times the negative 60 with the negative outside the parenthesis.

-45+30+60

60+30=90

90-45=45

Answer: 45

Answer: Yes because they both have the same total

Step-by-step explanation:

Answer:

1) Axis of symmetry = [tex]\frac{3}{2}[/tex]

2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]

Rewrite in vertex form and use this form to find the vertex (h,k).

[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)

Step-by-step explanation:

Vocabulary:

- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.

- The point on an angle where the two sides intersect.

Answer  

Thats the answer below!

Step-by-step explanation:

Answer:

0.2379

lmk if im wrong :)

Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

Let's calculate the z-scores:

For x = 82.2:

z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5

For x = 85.6:

z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35

Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.

From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.

Now, we can find the proportion of scores between these two z-scores:

Proportion = P(0.5 ≤ z ≤ 1.35)

= P(z ≤ 1.35) - P(z ≤ 0.5)

= 0.9115 - 0.6915

≈ 0.2200

So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.

Learn more about z-scores click;

https://brainly.com/question/32011298

#SPJ3

Answer:

B: x = 0, y = -1

Step-by-step explanation: Hope it Helps!

Answer:

(0,-1)

Step-by-step explanation:

8x – 5y = 5

–8x – 6y = 6

-11y = 11

/-11 /-11

y = -1

8x – 5y = 5

8x - 5(-1) = 5

8x - (-5) = 5

8x + 5 = 5

     - 5  - 5

8x = 0

/8   /8

x = 0

8x – 5y = 5

8(0) - 5y = 5

0 - 5y = 5

-5y = 5

/-5   /-5

y = -1

(x,y) ==> (0,-1)

Hope this helps!

Answer:

a=4

b=0.5p

c=py

Step-by-step explanation:

a) 8*0.5= 4

b) p*0.5= 0.5p

c) p*y= py

Hope this helps! :)

Answer:

answer d and e

Step-by-step explanation:

First, you need to figure out the radius of B.

As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2

Now you get the radius of B, calculate th area of B using the formula πr^2.

= π(7.2)^2 = 162.86 = area of B

Now, all answers except D and E is smaller than B. So, the answer would be D and E.

Answer:

  A, E

Step-by-step explanation:

The radius of Circle B is 20% greater than 6 inches, so is ...

  r = (6 in)(1 +20%) = 1.2×6 in = 7.2 in

The area of Circle B is ...

  A = πr²

  A = π(7.2 in)² ≈ 162.86 in²

The offered answer choices (and the area of Circle B) in order from least to greatest are ...

  [B]51.84, [C]113.04, [F]148.49, [D]162.78,

  (circle B)162.86,

  [A}189.31, [E]203.15

Choices A and E are greater than Circle B's area.

Answer: 39

Step-by-step explanation: We have to move the decimal one place to the right to make 1.2 a whole number, so 12. You do the same thing to 46.8, so you get 468. Then you divide from there. 12 can go into 46 3 times. 12 x 3 = 36. you subtract to get 10, then bring down your 8, to get a new number of 108. 12 can go into 108 9 times. 12 x 9 = 108. Then you have a remainder of 0. Your product is 39.

Answer:

3.5 gallons of gas

Step-by-step explanation:

If m = miles

And the equation is m = 40g

Then: 140 = 40g

40g/40 = 140/40

g = 3.5 gallons of gas.

The car used "3.5" gallons of gas.