Mariana is making a large pot of pasta. She mixes together 518 pounds of pasta, 6 pounds of sauce, and 478

pounds of onions.

To find out how many 12

pound servings can she make, which two equations would you need?

A.

518+478+6=16

B.

518+478−6=4

C.

4÷12=8

D.

16÷12=32

E.

16×12=8

Answer:

Okay so, first put a dot on the number three. Next, go down one and over two from that spot (2, 2) and so on.

Step-by-step explanation:

Answer and step-by-step explanation:

Here, we are given a linear equation, meaning that the graph is going to be a straight line. Firstly, we must identify the slope and the y-intercept of the line.

y = -1/2x + 3

The -1/2x is our slope, and the 3 is our y-intercept. So, let's plot the coordinate (0, 3) because that is the y-intercept. Lastly, we must find how steep the line is, and what direction it goes to. As you can see, it is negative, so that means that the slope will go from the top left to the bottom right. And, the slope is -1/2, which means that for every time you go to right two, you will also go down one. Hope this helps!

Answer:

30

Step-by-step explanation:

the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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The time it took Milan longer to clean the bathroom is 3 1/8 hours

Time taken for Milan to clean the bathroom = 3 1/4 hours

Time taken for Milan to clean the kitchen = 1/8 hours

Time taken longer for Milan to clean the bathroom = 3 1/4 hours - 1/8 hours

= 13/4 - 1/8

= (26-1) / 8

= 25/8

= 3 1/8 hours

In conclusion, it took Milan 3 1/8 hours longer to clean the bathroom.

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Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

The volume of the rectangular prism is 900 cubic inches.

What is prism?

A prism is a three-dimensional geometric shape that has two identical ends, called bases, and flat, parallel sides that connect the bases.

The formula for the volume of a rectangular prism is:

Volume = Base Area x Height

where the base area is the product of the length and width of the base. Since we are given the base area as 60 square inches, we can write:

Base Area = length x width = 60 sq in

The volume of a rectangular prism is given by multiplying the area of the base by the height. In this case, the height is given as 15 inches, and the area of the base is given as 60 square inches. Therefore, the volume of the rectangular prism can be calculated as follows:

Volume = Base Area x Height

Volume = 60 sq in x 15 in

Volume = 900 cubic inches

Therefore, the volume of the rectangular prism is 900 cubic inches.

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Answer:

40 slices

Step-by-step explanation:

I rounded 38 to 40 and divided by 8

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer: true

Step-by-step explanation:

The x column does not have any repeats

Answer:

False!

Step-by-step explanation:

It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.

Answer:

ya the equation divides y as a function of x

Answer:

The fraction 1/5 is a terminating decimal.(0.2)

Answer: 2/90 = 1/45

Step-by-step explanation:

Answer:

Lincoln Avenue is represented by the line \( x = 5 \), which is a VERTICAL LINE.

Step-by-step explanation:

The equation of the line of Washington Avenue, x = 3, suggests that the line is a vertical line, since a vertical line takes the form of x = k, where k is the value x would always take and also it is the x-intercept.

Given that Lincoln Avenue passes through the point (5, 2), and its line is parallel to that of Washington Avenue, it means that the line do not intercept each other, and Lincoln Avenue is also a vertical line.

Therefore, if Lincoln Avenue passes through (5, 2), its line can be represented also in the form, x = k. Where, k is the value that x would always take, and also, it is the x-intercept. x would always be 5 even when y changes.

Therefore, the equation of the line that represents Lincoln Avenue would be:

✅ \( x = 5 \)

✅This is also a Vertical line.

The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

x + 5y ≤ 30

Step-by-step explanation:

4

5

6

7

8

9

10

11

12

13

14

16

17

19

20

21

22

23

24

25

26

27

28

29

30

The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

x = 6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

7x=42

X divided by 7 and 42 divided by 7 gives you

x=6

Answer:

yes I just checked it

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given: A study conducted by the Institute of Education Sciences from 1992 to 2003 found that about 22% of adult Americans had low levels of literacy and were “not able to locate information in text,” could not “make low-level inferences using printed materials” and were unable to “integrate easily identifiable pieces of information.”

A simple random sample of 50 adult Americans is collected.

n(p) = 50(0.22)

n(1 - p) = 50(1 - 0.22)

The CLT would hold here.

n = 50

p = 0.22

p cap = 0.25

The test statistic, z = (p cap - p) / (√p (1 - p) / n)

z = (0.25 - 0.22)/(√0.22(1-0.22)/50)

z = 0.51

The p-value is 0.3043.

Hence, The probability that more than one-fourth of them will have low levels of literacy as described above is 0.3043.

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Answer:

\(\huge\boxed{f^{-1}(x)=4x+48}\)

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function \(y=\frac{1}{4}x-12\).

Step 2: We can swap where the x and y values are, making our equation

\(x = \frac{1}{4}y-12\)

Step 3: We can now solve for y.

We now have the function as \(y = 4x+48\).

Step 4: We can now replace the y with \(f^{-1}(x)\).

\(f^{-1}(x) =4x+48\)

Therefore the inverse of \(f(x) = \frac{1}{4}x-12\) is \(f^{-1}(x) =4x+48\).

Hope this helped!

Answer:

B, C, D

Step-by-step explanation:

He made a mistake in each product.

-2(-8x) = 16x, not 10 x

-2(-4y) = 8y, not -8y

-2(3/4) = -1 1/2, not - 1/14

The solution of the given system of equations is (4, 7).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=3x-5 -------(I) and y=1/2 x+5 -------(II)

Substitute equation (I) in (II), we get

3x-5=1/2 x+5

3x-1/2 x=5+5

2.5x=10

x=4

Substitute x=4 in equation (I), we get

y=3(4)-5

y=7

So, solution is (4, 7)

Therefore, the solution of the given system of equations is (4, 7).

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Answer:

76ft^3

Step-by-step explanation:

Volume of a cube is Length x Width x Height, basically: 4 x 4 x 4 which is 64 ft^3. Add that to the small box gives you 64 + 12 or just 76 ft^3

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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