Which rectangular cake gives you more to eat a vanilla cake measuring 8 in x 11 in x 13 in or a chocolate cake measuring 9 1in x 12in x 2 in?

Answer:

60

%

Step-by-step explanation:

there are 5 possible events (01234)- there are 3 favorable outcomes (123)

so that's 3 out of 5 or  3/5 or 60%

The estimated probability of a success is  3/5 or 60%.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

We are given that randomly generated list of integers from 0 to 4 is being used to simulate an event with the numbers 1, 2, and 3 representing a success.

There are 5 possible events (01234)

There are 3 favorable outcomes (123)

Therefore, the estimated probability of a success are; 3 out of 5 or  3/5 or 60%

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8% written and decimal and fraction are 0.08 and 2/25 respectively

Given the percentage of fiber expressed as 8 %

We are to write 8% in both decimal and fraction form

Decimal form of 8% is 0.08

Fractional form of 8% = 8/100 = 2/25

Hence 8% written and decimal and fraction are 0.08 and 2/25 respectively

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Answer:

Stretch

Step-by-step explanation:

lol no such thing as stretch theres only reflection, translation, and rotation

Answer:

x = 4

Step-by-step explanation:

it's important to keep in mind that you can do anything to an equation as long as you do it to both sides, and it will still be equal.

2x + 5 = 13

subtract 5 from both sides of the equation

2x + 5 -5 = 13 - 5

2x = 13 -5

2x = 8

divide both sides of the equation by 2

2x/2 = 8/2

x = 4

The value of x for the equation 2x + 5 = 13 is x = 4.

Given that:

There is an equation in x which is given as,

2x + 5 = 13

It is required to find the value of x.

That is, solve the equation.

It is required to get the equation in such a way that x is on one side and a constant on the other side.

2x + 5 = 13

Subtract both sides by 5.

2x = 8

Divide both sides by 2.

x = 4

Hence the value of x is 4.

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[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{(1)(-14)+(4)(-3)}{1+4},\dfrac{(1)(7)+(4)(6)}{1+4}\right)[/tex]

[tex]\\ \sf\longmapsto P(x,y)=\left(\dfrac{-26}{5},\dfrac{31}{5}\right)[/tex]

Answer:

n=11

The first step is to use distributive property on the right side of the equation. Hope that helps

Answer:

Step 4 is wrong and so is Step 7

Step-by-step explanation:

In step 4, she would have had to add 8 to both sides.

In step 7, the answer is first of all, wrong, and second of all, it would have been negative 1. (if even 1)

x is supposed to equal -9

Hope I helped :)

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Answer:

Step 3 is wrong and step 4 is wrong too.

Step four was she was supposed to ADD 8 not subtract. In step 3, ur not supposed to have 2 operators (ex: operators are division sign, multiplication, subtraction, and addition sign. )

Hope this helps :)

Answer:

Step-by-step explanation:

The vertical angles theorem states that when two straight lines intersect, they form two sets of linear pairs with congruent angles.

A midpoint divides a line into 2 congruent segments.

The SAS Theorem states that if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

Answer:

A = 40

B = 90

C = 53.5

D = 34

E = 90

F = 52.9

G = 90

H = 59.6

I = 104.5

J = 45

K = 90

L = 72

M = 107.3

N = 47.7

O = 36

P = 90

Answer:

30000 or 3×10^4

Step-by-step explanation:

both are right it depends on what ur teacher prefers. but they both mean the same thing and have 1 sig fig

The total area of the figure = area of rectangle + area of triangle = 241 sq. m.

Thus:

Total area of the figure = area of rectangle + area of triangle

= length × width + 1/2 × base × height

Total area of the figure = 12 × 9 + 1/2 × 19 × 14

Total area of the figure = 241 sq. m.

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Answer:

241 square meters

Step-by-step explanation:

edmentum/plato

Answer:

60 US Quarts

Step-by-step explanation:

15 gallons = 60 US Quarts

Answer:

60 US QUARTS

Step-by-step explanation:

Since, 1 gallon = 4 US QUARTS

15 gallons = x

Therefore, 15 gallons × 4 US QUARTS / 1 gallon

= 60 US QUARTS

Answer: The cost of a single group lesson is $5 and a single private lesson is $25

Step-by-step explanation:

Let the cost of a single group lesson be y.

Let the cost of a single private lesson be z.

A karate school offers a package of 12 group lessons and 2 private lessons for $110. This can be written as:

12y + 2z = 110 ..... equation i

It also offers a package of 10 group lessons and 3 private lessons for $125. This can be written as:

10y + 3z = 125 ...... equation ii

Combining equation i and ii

12y + 2z = 110 ..... equation i

10y + 3z = 125 ...... equation ii

12y + 2z = 110 × (3)

10y + 3z = 125 × (2)

36y + 6z = 330 ....... equation iii

20y + 6z = 250 ...... equation iv

Subtract equation iv from iii

16y = 80

y = 80/16

y = 5

From equation ii

10y + 3z = 125

10(5) + 3z = 125

50 + 3z = 125

3z = 125 - 50

3z = 75

z = 75/3

z = 25

The cost of a single group lesson is $5 and a single private lesson is $25

A group lesson costs = $5.

A private lesson costs = $25.

Let a group lesson costs = $x

A private lesson costs = $y.

According to the question:

12x + 2y = 110

10x + 3y = 125

Solving them we get x = 5, y = 25

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Answer: 49B

Step-by-step explanation: Its the right answer

Answer:

32b + 12

Step-by-step explanation:

Add up all the values with b in them, so 15 + 5 + 12 = 32. Then, add the whole number. Your simplified answer should be 32b + 12.

Hopefully this helps- let me know if you have any questions!

Answer:

Trent drank more Water than Nicholas because 3/5 is bigger than 2/3

Answer:

use the formula for circumference

Step-by-step explanation:

Answer:

706.8 if rounded then its 706.9

Answer:

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}[/tex]

[tex]\mathrm{Substitute\:}y=-\frac{1}{2}x+5[/tex]

[tex]\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}[/tex]

Isolate x for 3x+10=16(-1/2x+5): [tex]x=\frac{70}{11}[/tex]

[tex]\mathrm{For\:}y=-\frac{1}{2}x+5[/tex]

[tex]\mathrm{Substitute\:}x=\frac{70}{11}[/tex]

[tex]y=-\frac{1}{2}\cdot \frac{70}{11}+5[/tex]

[tex]-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}[/tex]

[tex]y=\frac{20}{11}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=\frac{70}{11},\:y=\frac{20}{11}[/tex]

Answer:

(for the second one)

y = 4x + 10

solution:

so first you have to find the slope, there is an equation for it. it is y2 - y1/ x2 - x1 or just y1 - y2/ x1 - x2 . so input the easiest points. id say f(0) and f(1)

so it will look like

2 - 6/0 - 1

-4/-1

4

so you can now write the equation as

y = 4x + b

now you have to find the y-intercept so input a point. i dont think you should input a point you used to find the slope because you could have made a mistake calculating so lets input f(2)

sooo

18 = 4(2) + b

18 = 8 + b

b = 10

so the function for the second one is y = 4x + 10

[tex]\begin{gathered}\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf y} \\ \sf -1 &\sf 1.5 \\ \sf 0 &\sf 3\\ 1 &\sf 6 \\ \sf 2 &12\end{array}}\end{gathered}[/tex]

Plug in x values in the equation y = 3(2)^x

Graph plotted below:

Answer:

x + y - 13

Step-by-step explanation:

It has three terms, or numbers or variables

Answer:

option 1

Step-by-step explanation:

A expression that has 3 terms is called trinomial.

x + y - 13  -----> trinomial

Answer: The integers has an absolute value of 53.

Step-by-step explanation:

Given that:

George wrote an integer ;

Let integer = y

Opposite of integer = - 53

From the options given, the best conclusion that must be true is to say George's integer has an absolute value of 53. Because an absolute value clears our doubt of the integer being positive or negative. Also, an absolute value cannot be negative.

Also, an integer of - 53 cannot have an opposite value of - 53

Answer:

24%

Step-by-step explanation:

6÷25×100

to find in percentage

Answer:

6 as a percent would be 0.06.

Step-by-step explanation:

100 as a percent is 1.00

90 as a percent is 0.90

hope this helps, and you have a better understanding of percentages. please rate and mark as brainlest

If this is a good coin meaning that the head has as many chances as being flipped as a tail then you can expect 48.

There are only two options per flip and thus both sides have an even chance of getting flipped. So each would have half the number of flips to be flipped.

Hope that helped!

Answer:

Yes

Step-by-step explanation:

If you perform the vertical line test, each row where there is a point only gets hit once, if it got hit twice it would not be a function.

Answer: 1.8

Step-by-step explanation:

(-18-(-9))/(12-7)=-9/5

Answer:

[tex]36n^2+12n+1[/tex]

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this [tex](6n+1)*(6n+1)[/tex]

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = [tex]6n *6n = 36n^2[/tex]

2. Add the first number by itself = [tex]6n+6n = 12n[/tex]

3. Multiply the last number by itself = [tex]1*1 =1[/tex]

4. Combined to form your answer = [tex]36n^2+12n+1[/tex]

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

Answer:

So we want to divide  by .

The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:

- For our first fraction:

Now we can rewrite our first fraction:

- For our second fraction:

Now we can rewrite our second fraction:

Last but not least, we can express our division as a fraction and simplify:

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is:

Step-by-step explanation: