Jayson is making sushi rolls. He has 5/6cup of rice and will use 2/6 cup
for each sushi roll. How many whole sushi rolls can he make?

If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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30% of students mean 30 students wear contact lenses from a random selection of 100 students studying in a university.

Percentage is a fraction or a ratio of a random sample in which the value of whole is always 100. For example, if Sam received 30% on his arithmetic test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

Percentage is defined as a certain fraction or number out of a hundred. It is a fraction with the denominator 100, and the sign for it is "%."

Finding the proportion of a whole in terms of 100 is the goal of percentage calculations. There are two methods to calculate a percentage:

Use the unitary approach or try adjusting the fraction's denominator to 100.

How to solve?

30 % = 30/100 of a sample = 0.3 of a sample

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To write the expression \(6 \frac{7}{12}\)  in radical form.

To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.

Use the rule:

\(a\frac{x}{y}\) = \(\sqrt[y]{a^{2} }\)

Apply this rule on the the given expression:

\(6\frac{7}{12} = \sqrt[12]{6^{7} }\)

Therefore, the expression in radical form is \(\sqrt[12]{6^{7} }\)

Answer:

Step-by-step explanation:

If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.

Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position

Answer:

The slope would be 2

Step-by-step explanation:

Your slope-intercept form is always y=mx + b

The b is always your constant

The mx is your slope

The y is your output

Answer: Slope: 2 & Y-int: -6.

Step-by-step explanation:

I will try to explain it in my own simple way for you to understand, however, I may be wrong.

The form, y=mx+b, think of f(t) as y, the 2t as m, the t as x, and the -6 as the y-intercept. Since the -6 is the opposite of +b, in the y=mx+b, it would be -6.

Hope this helped.

That the curve has "dints" or "bumps" where it crosses the x-z plane, which are caused by the cosine and sine terms in the equation.

To sketch the curve with the given vector equation, we need to plot points of the form (t cos(t),t, t sin(t)) for different values of t.

One way to do this is to choose a few values of t (e.g. t = 0, 1, 2, -1, -2) and plug them into the equation to get the corresponding points.

For t = 0, we have r(0) = (0,0,0).
For t = 1, we have r(1) = (cos(1),1,sin(1)).
For t = 2, we have r(2) = (2cos(2),2,2sin(2)).
For t = -1, we have r(-1) = (-cos(1),-1,-sin(1)).
For t = -2, we have r(-2) = (-2cos(2),-2,-2sin(2)).

Plotting these points and connecting them with a smooth curve, we get a spiral-like shape that wraps around the y-axis (which corresponds to t) as t increases. The direction in which t increases is indicated by an arrow pointing upwards along the y-axis, since t is increasing as we move up the curve.

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Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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Answer:

I think the solution will be like this

I hope it's right :)

Answer:

116 degrees

Step-by-step explanation:

It is equal to the measure of the angle opposite of x.

Answer:

Since it a parallelogram opposite side is always the same so x=116 and to find out if it true just add each other and u will get 232 and when u find the other value it will add up 360 degree.

X=116

Step-by-step explanation:

"The slope of the secant line PQ, where P is (8, f(8)) and Q is (8+h, f(8+h)), approaches 24 as h approaches 0."

In more detail, let's compute the slope mPQ of the secant line that contains points P=(8, f(8)) and Q=(8+h, f(8+h)), where f(x) = (1/21)x^2 - 1.

(a) For h = 0.5:

f(8) = (1/21)(8^2) - 1 = 63/21 - 1 = 2

f(8 + 0.5) = (1/21)((8+0.5)^2) - 1 = 67/21 - 1 = 2.19

The slope mPQ is given by (f(8+h) - f(8)) / (8+h - 8) = (2.19 - 2) / 0.5 = 0.38.

(b) For h = 0.1:

f(8) = 2

f(8 + 0.1) = (1/21)((8+0.1)^2) - 1 = 62.01/21 - 1 = 2.95

The slope mPQ is given by (f(8+h) - f(8)) / (8+h - 8) = (2.95 - 2) / 0.1 = 9.5.

(c) For h = 0.01:

f(8) = 2

f(8 + 0.01) = (1/21)((8+0.01)^2) - 1 = 62.0001/21 - 1 = 2.99952

The slope mPQ is given by (f(8+h) - f(8)) / (8+h - 8) = (2.99952 - 2) / 0.01 = 99.95.

(d) As h approaches 0, we observe that the slope of the secant line approaches 24. Therefore, we can conclude that a = 24.

(e) The equation of the tangent line to the curve y=f(x) at (8, f(8)) is given by:

L(x) = f(8) + a(x - 8)

     = 2 + 24(x - 8)

     = 24x - 190

To find L(20), we substitute x = 20 into the equation:

L(20) = 24(20) - 190

      = 470

Therefore, L(20) is equal to 470.

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Answer:

10 videos were sold  

Step-by-step explanation:

Hello There!

First we want to create two equations (system of equations)

let c = CD's sold and v = videos sold

a total of 40 CD's and videos we're sold so

40 = c + v

they we're sold for a total amount of $180 ( $4s per CD and $6 per video) so

4c + 6v = 180

now we are going to solve for number of videos sold sold using eliminations and multipliers

first we want to find a common multiple between 4c and c which would be 4

so we multiply 4c + 6v = 180 by -1 and 40 = c + v by 4

(note we have to choose one of the equations to be multiplied by a negative number because we are trying to eliminate some variables)

-1(4c+6v=180) = -4c - 6v = - 180

4(c + v = 40) 4c + 4v = 160

now we combine the equations

4c -4c cancels out

-6v + 4v = -2v

-180 + 160 = -20

we're left with -2v = -20

then we divide each side by -2

-2v/-2=v

-20/-2=10

so the number of videos sold was 10

now to find the number of CDs sold we plug in 10 into v to one of the equations

40 = c + 10

subtract 10 from each side

40 - 10 = 30

we're left with c = 30

so we can conclude that

30 CDs were sold and 10 videos were sold

We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.

Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.

We will investigate the type of translations that are possible as follows:

Where,

AND,

We will investigate how to use the above rule to determine the image of the square JKLM.

We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:

The general rule that will be applied to the vertices of the square JKLM:

The four coordinate of the square are:

Applying the general rule to determine the image of all vertices:

The image of the square JKLM is as follows:

We can plot these images on the grid as follows:

The angle at which the projectile should be launched to hit the target which is 129 feet away is 7/100π.

The projectile fires with a velocity V₀ and angle of elevation θ, then the horizontal distance is given by the R(θ),

R(θ) = V₀²sin2θ/32

The given function in dependent on theta θ,

The angle at which the projectile must be fired so that it reaches the horizontal distance of 129 feet in front of the cannon,

R(θ) = V₀²sin2θ/32

putting R(θ) equal to 129,  V₀ = 80ft/s,

129 = (80)²sin2θ/32

sin2θ = (129 x 32)/(80 x 80)

sin2θ = 0.645

Hence,

θ = 7/100π

so, the projectile should be launched at angle of 7/100π.

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No they are not like terms.

Step-by-step explanation:

Because with like terms the variables and exponents have to be the same and both of the 5's are being multiplied by different numbers.

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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Answer:

65

Step-by-step explanation:

EF is 1/2 the length of GH, so 2EF = GH

2(2x + 7) = 5x - 1

4x + 28 = 5x -1

29 = x

EF is 2x + 7, so 2(29) + 7 = 65

We have the next information

A submarine Is at a depth of 350 feet below sea level means -350

First, it goes down 150 feet. means -150

Next, it goes up 132 feet. means +132

Then, it goes down 179 feet. means -179

Finally, it goes down 145 feet means -145

then we have the next operations

-350+(-150)+132+(-179)+(-145)=-692

The sing minus means that It is below the sea level

therefore the correct choice is

A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.

Answer:If she buys 60 tiles, the cost at both shops is the same.

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Step-by-step explanation:

Explanation:

Let the number of tiles be

x

At the first shop: Cost =

$

0.79

×

x

+

$

24

=

0.79

x

+

24

At the second shop: Cost =

$

1.19

×

x

=

1.19

x

If the cost is the same:

1.19

x

=

0.79

x

+

24

←

solve for x

1.19

x

−

0.79

x

=

24

0.4

x

=

24

x

=

24

0.4

x

=

60

tiles

If she buys less than 60 tiles, then the second shop is cheaper.

If she buys more than 60 tiles, then the first shop is cheaper.

Answer:

it is both the same if the cost is 60

Step-by-step explanation:

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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Total Seeds required 9.33 kg  and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.

If you're fortunate enough to have a rectangular lawn, determining the size is straightforward. Multiply the length and breadth measurements together to get the total. You now have your region/area.

So, Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.

Grass seed is sold in 2 kg boxes,

Maisie wants to make a rectangular lawn 10 m by 14 m,

She has 5 boxes of grass seed

To Find, Has Maisie got enough grass seed to make a lawn 10m by 14 m

Solution:

3 kg of grass seed to make a rectangular lawn 5 m by 9m.

=> 3 kg  of grass seed  needed for 5 x 9 = 45 m²

=>  1 m² required  = 3/45  kg seed

a rectangular lawn 10 m by 14 m,

area = 10 x 14 = 140 m²

Hence 140 m² required = 140 x  3/45  =  9.33 kg

Grass seed is sold in 2 kg boxes,

She has 5 boxes of grass seed

Hence total seeds = 5 x 2 = 10 kg

Therefore, total seeds required 9.33 kg  and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.

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The height of the office building casting a shadow of 107ft is approximately 124.83 ft.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

Given the data in the question;

Ratio of height of office building and its height = x / 107

Ratio of height of post and its height = 7 / 6

Equate the two to get the height of the office building.

x / 107 = 7 / 6

Solve for x

x × 6 = 7 × 107

6x = 749

x = 746 / 6

x = 124.83 ft

Therefore, the height of the building is 124.83 ft.

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Answer:

f = 13\(\sqrt{2}\)

Step-by-step explanation:

Given that f and e are congruent then e = f

Using Pythagoras' identity in the right triangle

f² + e² = 26² , that is

f² + f² = 676

2f² = 676 ( divide both sides by 2 )

f² = 338 ( take the square root of both sides )

f = \(\sqrt{338}\) = \(\sqrt{169(2)}\) = 13\(\sqrt{2}\) ≈ 18.4 ( to 1 dec. place )

Answer:

f = 25.85751233

Step-by-step explanation:

f^2+E^2=26^2

The value of a is less than -1.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

The function form of a parabola:

y = ±a (x - h)² + k,

where,

(h, k) is the vertex and, -a is the value of the parabola that is narrower.

Now, we have two functions,

g(x) = ax²

f(x) = x².

Given:

The graph of g(x) = ax² opens downward and is narrower than the graph of f(x) = x².

So, the value of a is less than -1.

Therefore, a < -1.

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 the number of ways to assign 20 different people to three different rooms with at least one person in each room.We can solve this problem using the concept of combinations and the Principle of Inclusion-Exclusion.

1. First, let's calculate the total number of ways to assign 20 people to 3 rooms without any constraints. This can be done using the multiplication principle: each person has 3 choices for a room, so there are 3^20 ways to assign the people.

2. Next, we need to subtract the cases where at least one room is empty. For this, we can use the Principle of Inclusion-Exclusion.

3. There are 3 ways to choose the empty room. Once we've chosen the empty room, there are 2 choices for each of the remaining 20 people, so there are 3 * 2^20 ways to assign people with exactly one empty room.

4. However, we have double-counted cases with two empty rooms, so we need to add them back. There are 3 ways to choose the room with people, and all 20 people will be in that room, so there are 3 ways to assign people with exactly two empty rooms.

5. Finally, we can calculate the answer by combining these cases:

Total ways = 3^20 - 3 * 2^20 + 3

This gives us the number of ways to assign 20 different people to three different rooms with at least one person in each room.

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Answer:

L = 5a + 2

Step-by-step explanation:

Answer:

t = 5

Step-by-step explanation:

t - 26 = -21

t - 26 + 26 = -21 + 26

t = 5

Answer:

t = 5

Step-by-step explanation:

t - 26 = - 21 ( add 26 to both sides )

t = - 21 + 26 = 5

Answers: x = 4 and y = 3

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

Explanation:

Triangle UBD is congruent to triangle RAN

Note the order of the lettering as it's important.

BD and AN are the last two letters of UBD and RAN in that order. Therefore, these sides correspond and BD = AN. From that, we know,

BD = AN

2y+5 = 3y+2

5-2 = 3y-2y

3 = 1y

y = 3

-----------

Using similar logic, UD and RN are the first and last letters of UBD and RAN respectively. So,

UD = RN

15 = 2x+7

2x+7 = 15

2x = 15-7

2x = 8

x = 8/2

x = 4

Answer: 3.078139077

Step-by-step explanation:

Use the 1st digit 2 from dividend 2367800.

Since 2 is less than 769231, use the next digit 3 from dividend 2367800 and add 0 to the quotient.

Use the 2nd digit 3 from dividend 2367800.

Since 23 is less than 769231, use the next digit 6 from dividend 2367800 and add 0 to the quotient.

Use the 3rd digit 6 from dividend 2367800

Since 236 is less than 769231, use the next digit 7 from dividend 2367800 and add 0 to the quotient.

Use the 4th digit 7 from dividend 2367800.

Since 2367 is less than 769231, use the next digit 8 from dividend 2367800 and add 0 to the quotient.

Use the 5th digit 8 from dividend 2367800.

Since 23678 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 6th digit 0 from dividend 2367800.

Since 236780 is less than 769231, use the next digit 0 from dividend 2367800 and add 0 to the quotient.

Use the 7th digit 0 from dividend 2367800.

Find closest multiple of 769231 to 2367800. We see that 3×769231=2307693 is the nearest. Now subtract 2307693 from 2367800 to get reminder 60107.

Add 3 to quotient.

Quotient: 3

Reminder: 60107

It's not as difficult as it looks.

✨

Answer:

Hey there if you meant the picture below, I wrote the answers for you

Step-by-step explanation:

Hope my you understand my handwriting

8+8+6+6

And that how to get your answer

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