what even is 2 + 2? ​

The number of cups of vegetable oil used by Colin to make 8 cakes is given by A = 5 1/3 cups

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data,

Let the equation be represented as A

Now, the value of A is

Substituting the values in the equation, we get

Let the number of cups of vegetable oil used by Colin to make 8 cakes be represented as A

Now , the number of cups of vegetable oil used by Colin to make 1 cake is given by = ( 2/3 ) cups of oil

And , number of cups of vegetable oil used by Colin to make 8 cakes A =

A = 8 x number of cups of vegetable oil used by Colin to make 1 cake

On simplifying the equation, we get

[tex]\text{A} = 8 \times \huge \text{(} \dfrac{2}{3} \huge \text{)}= \dfrac{16}{3}[/tex]

[tex]\boxed{\bold{A = 5 \dfrac{1}{3} \ cups}}[/tex]

Therefore, the value of A is 5 1/3 cups

Hence, the number of cups of vegetable oil required is 5 1/3 cups

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Complete question is-

Colin uses 2/3 cup of vegetable oil in each cake that he makes for his father's bakery.

If Colin made 8 cakes, how much oil did Colin use in all?

A. 5 1/3 cups

B. 7 1/3 cups

C. 8 2/3 cups

D. 16 1/3 cups​

The scale factor used to dilate triangle ABC with vertices at A(−1, −1), B(1, 1), C(0, 1) into triangle A'B'C' with vertices at A′(−3, −3), B′(3, 3), C′(0, 3) is 3.

In mathematics, a scale factor is a number that scales, or multiplies, some quantity. In the context of geometry, the scale factor is the ratio of lengths in a pair of similar geometric figures or the ratio of the areas of two similar geometric figures. When one figure is transformed into another by dilation, the scale factor is the ratio of the lengths of corresponding sides. The scale factor can be greater than 1, less than 1, or equal to 1 (meaning no change in size).

We can determine the scale factor by comparing the lengths of sides of the two triangles.

The length of side AB is,

AB = [tex]\sqrt{[(1 - (-1))^2 + (1 - (-1))^2]}[/tex] = [tex]\sqrt{8}[/tex]

Similarly the length of side A'B' is,

A'B' = [tex]\sqrt{[(3 - (-3))^2 + (3 - (-3))^2]}[/tex] = [tex]\sqrt{72}[/tex]

So the scale factor will be,

A'B' / AB = [tex]\frac{\sqrt{72} }{\sqrt{8} }[/tex] = [tex]\sqrt{9}[/tex] = 3

Therefore, the scale factor used to dilate triangle ABC into triangle A'B'C' is 3.

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The answer of the given question based on the fraction is ,  a value that is greater than 1/2.

A fraction is mathematical expression that represents part of  whole or ratio between the two numbers. It is expressed in the form of a ratio of two integers, with a numerator and a denominator separated by a horizontal or slanted line called a fraction bar.

Fractions that are closer to 1 than to 0 have a value that is greater than 1/2. This is because 1/2 is exactly halfway between 0 and 1 on the number line.

So, any fraction that has a numerator greater than its denominator is closer to 1 than to 0. For example:

2/3 is closer to 1 than to 0 because it is greater than 1/2

7/8 is closer to 1 than to 0 because it is greater than 1/2

3/4 is closer to 1 than to 0 because it is greater than 1/2

On the other hand, fractions that have a value less than 1/2 are closer to 0 than to 1. For example:

1/4 is closer to 0 than to 1 because it is less than 1/2

3/10 is closer to 0 than to 1 because it is less than 1/2

2/5 is closer to 0 than to 1 because it is less than 1/2

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Answer:

We have supplementary angles.

123 + 3x = 180

3x = 57

x = 19

Answer:

x = 19

Step-by-step explanation:

Angle on a straight line add up to 180

123 + 3x = 180

3x = 180 - 123

3x = 57

3x/3 = 57/3

x = 19

Jackson's total cost after the discount and before tax would be $24.67.

When a store offers a discount, it reduces the price of the item by a certain percentage. In this case, Jackson has a loyalty card that gives him a 10% discount on his purchase.

To calculate the price after the discount, we multiply the original price by 1 minus the discount percentage (in decimal form).

Here we have

Jackson has a 10% discount at his local hardware store.

Let 'x' be the cost before tax

After a 10% discount,

The amount that Jackson could pay 90% of the cost

Given that he wants to buy $ 27.40  

The cost of items after discount = 90% of 27.40

= [ 90/100 ] × 27.40

= [ 0.9 ] × 27.40

= 24.66

Therefore,

Jackson's total cost after the discount and before tax would be $24.67.

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In 1870, the French writer Jules Verne published his novel "Twenty Thousand Leagues Under the Sea", which tells the story of an underwater adventure aboard the submarine Nautilus.

The novel is considered one of Verne's most popular and well-known works, and it has been translated into many languages and adapted into numerous films, TV shows, and stage productions. "Twenty Thousand Leagues Under the Sea" is known for its imaginative portrayal of futuristic technology, such as the advanced submarine Nautilus, and its detailed descriptions of underwater life and exploration.

Therefore, The novel has also been praised for its themes of adventure, exploration, and the relationship between man and nature. It remains a classic in science fiction and adventure literature, and continues to be read and enjoyed by readers around the world.

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The finance charge for Antoni Gaudi's bedroom set purchase is $731.08.

An installment refers to a sum of money that is paid back in parts over a period of time, typically with interest.

A loan is a financial agreement between a lender and a borrower, in which the lender provides the borrower with a specific amount of money or assets, which the borrower agrees to pay back with interest over a predetermined period of time. Loans can be used for a variety of purposes, such as purchasing a home, starting a business, or paying for education.

Based on the given information, the bedroom set sells for $2,650, and the financing requires a 15% down payment, which is $397.50 ($2,650 x 0.15).

Therefore, the amount financed is $2,252.50 ($2,650 - $397.50).

To calculate the finance charge, we need to know the total amount of payments Antoni Gaudi will make over the 42-month period. Each monthly payment can be calculated using the following formula:

Monthly Payment = (Amount Financed x (APR/12)) / (1 - (1 + APR/12)^-n)

Where:

APR is the annual percentage rate (12% in this case)

n is the total number of payments (42 in this case)

Plugging in the values, we get:

Monthly Payment = ($2,252.50 x (0.12/12)) / (1 - (1 + 0.12/12)^-42)

= $70.99 (rounded to the nearest cent)

Therefore, the total amount of payments Antoni Gaudi will make over the 42-month period is $2,983.58 ($70.99 x 42).

The finance charge can be calculated as follows:

Finance Charge = Total Payments - Amount Financed

= $2,983.58 - $2,252.50

= $731.08

Therefore, the finance charge for Antoni Gaudi's bedroom set purchase is $731.08.

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all u got to do is subtract

The scale factor is 1/3.

What is the scale factor?

The difference in scale between an original object's scale and a new object that is its representation but is larger or smaller is known as a scale factor. For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Here, we have

Given: Triangle D has been dilated to create triangle D′.

To find the scalar value, simply choose one side of D and one did of D’ and divide them to find the scalar. We can verify that we have the correct scalar by performing this division on each related edge. Below I will do D to D’ represented like D/D’:

4.8 / 1.6 = 3

4.2 / 1.4 = 3

2.7 / x = 3

Knowing that the scaling for each edge is 3, we can solve for x.

2.7 / 3 = x

0.9 = x

The edges for D are 4.8, 4.2, and 2.7 respectively to D’ scaled by 1/3. So we can determine that the edges for D’ are 1.6, 1.4, and 0.9 respectively to D scaled by 3.

So if we go D’ to D, we scale by 3. If we go D to D’, we scale by 1/3.

Hence, the scale factor is 1/3.

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Answer:

5.  x = 60

6.  F' (1, 4)

Step-by-step explanation:

5.  The angles shown are same side exterior angles, so they are supplementary (add to 180)

(x + 85) + 35 = 180

x + 120 = 180

x = 180 - 120 = 60

x = 60

6.  The line x = 1 is a vertical line, passing through the x=axis at (1, 0).  All x coordinates on this line equal 1.

The point F (3,4) is reflected in the line x = 1 at the point F' (1, 4)

Answer:

9/16 of a square inch

Step-by-step explanation:

[tex] \frac{3}{4} \times \frac{3}{4} = \frac{9}{16} [/tex]

Answer:

9 /16 inches^2

Step-by-step explanation:

To find the area of the tile, multiply the length by the width

A = 3/4 * 3/4

A = 9 /16 inches^2

Answer:

7 and 31 it asks

the 3rd and 6th is

The 1st and 2nd terms of this Fibonacci sequence, given the 3rd and 6th terms would be 2 and 5.

Let's denote the first and second terms of the Fibonacci sequence as F1 and F2. The Fibonacci sequence is defined by the recurrence relation:

F(n) = F(n-1) + F(n-2)

We are given that the 3rd term (F3) is 7 and the 6th term (F6) is 31. We can use this information to set up the following equations:

F3 = F2 + F1 = 7

F6 = F5 + F4 = 31

We can also express F4 and F5 in terms of F1 and F2:

F4 = F3 + F2 = (F2 + F1) + F2 = F1 + 2F2

F5 = F4 + F3 = (F1 + 2F2) + (F2 + F1) = 2F1 + 3F2

Now, let's substitute equation (4) into equation (2):

F6 = 2F1 + 3F2 + F1 + 2F2 = 31

3F1 + 5F2 = 31

By trial and error, we can find the possible values for F1 and F2 that satisfy this equation:

F1 = 1, F2 = 6: 3(1) + 5(6) = 3 + 30 = 33 (not a solution)

F1 = 2, F2 = 5: 3(2) + 5(5) = 6 + 25 = 31 (solution)

The solution is F1 = 2 and F2 = 5, so the first two terms of the Fibonacci sequence are 2 and 5.

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Make use of Excel, MATLAB, or Python to perform the curve fitting and find the cubic model for the given data.

To find a cubic model for the given data, we can use the method of least squares to fit the data points into a cubic polynomial of the form:

y = ax^3 + bx^2 + cx + d

where y represents the percentage of alternative and nuclear energy use, x represents the year, and a, b, c, and d are the coefficients to be determined.

Given the data points:

(2000, 10.7696)

(2003, 10.6167)

(2005, 10.6213)

(2008, 11.1977)

(2010, 11.7184)

(2011, 11.9921)

(2012, 12.0645)

Make use of Excel, MATLAB, or Python to perform the curve fitting and find the cubic model for the given data.

Once you have the cubic model, you can plug in x = 2016 to predict the alternative energy use for 2016.

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The median of the data set is: 95.5

What is median?

median is the number at the middle of the given data.

To find the median of the data set {102, 74, 86, 74, 96, 95, 103, 102}, we first need to arrange the values in order from lowest to highest:

74, 74, 86, 95, 96, 102, 102, 103

Since the data set has an even number of values, the median is the mean of the two middle values. In this case, the two middle values are 95 and 96.

Therefore, the median of the data set is: (95 + 96) / 2 = 95.5

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Answer:

[tex]y = \frac{5}{2} x[/tex]

[tex] \frac{y}{x} = \frac{5}{2} [/tex]

The constant of proportionality is the ratio of y to x. Here, the ratio of y to x is 5 to 2. We see that y is directly proportional to x.

Answer: 205.031(nearest thousandth)

or 205.03125

Step-by-step explanation:

P (green, then yellow) = P(green) * P(yellow) = (4/20) * (3/20) = 0.03 or 3%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many areas of science, such as statistics, physics, and engineering, as well as in everyday life to make informed decisions based on the likelihood of various outcomes.

The probability of drawing a green block on the first draw is 4/20 (since there are 4 green blocks out of a total of 20 blocks in the bag).

Since the block is being replaced back into the bag after each draw, the probability of drawing a yellow block on the second draw is still 3/20.

Therefore, the probability of drawing a green block followed by a yellow block is:

P (green, then yellow) = P(green) * P(yellow) = (4/20) * (3/20) = 0.03 or 3%

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Answer:

x > 3

Step-by-step explanation:

−8 + x/3 > -7

x/3 > 1

x > 3

We can't simplify anymore, so the answer is x > 3

Answer: $18.6

Step-by-step explanation: If we take a look at the sale off the shoes cost which is $43.4 and look at the sale amount (30%) which is 18 dollars and 60 cents the answer is: 18.6 or $18.6 off

a)Por lo tanto, la ecuación lineal que representa la temperatura en función de la hora es T(h) = 4h + 29

b) Por lo tanto, la temperatura a las 11:15 am aproximadamente es de 75.3 grados Farenheit.

what is  aproximadamente ?

"Aproximadamente" is a Spanish word that means "approximately" or "roughly" in English. It is often used to indicate that a value or measurement is not exact, but rather an estimation or approximation.

In the given question,

a) La ecuación lineal que relaciona la temperatura con la hora en ese intervalo es:

T(h) = m*h + b

donde T es la temperatura en grados Farenheit, h es la hora en formato de 24 horas, m es la pendiente de la recta y b es el término independiente.

Primero encontramos la pendiente m:

m = (81 - 61) / (13 - 8) = 4

Luego, encontramos el término independiente b utilizando uno de los puntos:

61 = 4*8 + b

b = 29

Por lo tanto, la ecuación lineal que representa la temperatura en función de la hora es:

T(h) = 4h + 29

b) Para encontrar la temperatura a las 11:15 am, primero convertimos el tiempo a horas decimales:

11:15 am = 11 + 15/60 = 11.25 horas

Luego, sustituimos este valor en la ecuación lineal:

T(11.25) = 4(11.25) + 29 = 75.25

Por lo tanto, la temperatura a las 11:15 am aproximadamente es de 75.3 grados Farenheit.

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Step-by-step explanation:

y = x and y = 4

(x + y)²

(4 + 4)² = (8)² = 64

Stop using brainly. This whole website has became a big money grab over the last few months and they will remove all your posts and answers unless you pay them money. I've had it happen several times now.

Answer:

The answer is ⁵√a²

Step-by-step explanation:

a⅖=⁵√a²

The absolute value equation is:

|x - 15| = 0

We want an absolute value equation that only has the solution x = 15.

So we must have something equal to zero (so we avoid the problem with the signs that we can have with other numbers)

So the equation will be something like:

|x - a| = 0

And the solution is 15, so:

|15 - a | = 0

then a = 15

The equation is:

|x - 15| = 0

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Therefore, the first Leap year after 2000 that the number of deer reaches 150 is 2000.1, or 2000 and 1/10 of a year.

If you sum up all the days on a calendar from January to December, there are 365 in a regular year. But about every four years, February has 29 days rather than 28. Therefore, a year has 366 days. There is a term for it: a leap year.

We must find x in the equation D=150 in order to determine the year that the number of deer exceeds 150 for the first time after 2000.

150=200+100sin(2πx)

Subtracting 200 from both sides, we get:

-50 = 100sin(2πx)

Dividing both sides by 100, we get:

-0.5 = sin(2πx)

To find the value of x that satisfies this equation, we can take the inverse sine of both sides:

sin⁻¹(-0.5) = 2πx

Using a calculator, we find that sin⁻¹(-0.5) = -π/6.

-π/6 = 2πx

Solving for x, we get:

x = -1/12

Since x is the number of years since 2000, we need to add 1/12 to find the first year after 2000 that the number of deer reaches 150:

2000 + 1/12 ≈ 2000.1

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Answer: Michelle's income during 2014 was her base salary plus her commission.

Her commission was 3% of $500,000, which is 0.03 x $500,000 = $15,000.

So her total income for 2014 was $87,000 + $15,000 = $102,000.

Step-by-step explanation:

Answer: $9.66

Step-by-step explanation: perimeter = 345mm + 345mm + 345mm + 345mm = 1380

We need 1380 millimeters which is equivalent to 1.38 meters.

We can multiply the number of meters by the cost of meters to find the total