Please help.. The math department is putting together an order for new calculators. The students are asked what model and color they prefer.

Answer:

Shelf A = $6 ;Shelf y = $4

Step-by-step explanation:

Let :

x = cost of items from shelf A

y = cost of items from shelf B

3x + 2y = 26 - - - - (1)

2x + 5y = 32 - - - - (11)

Using elimination method :

Multiply (1) by 2 and (11) by 3

6x + 4y = 52 - - - (111)

6x + 15y = 96 - - - (1V)

Subtract (1V) from (111)

-11y = - 44

y = 44/ 11 ; y = 4

Put y = 4 in (1)

3x + 2(4) = 26

3x + 8 = 26

3x = 26 - 8

3x = 18

x = 18 / 3

x = 6

You can use those variables specified to make symbolic relation between the cost and number of items. Then you can use any of the methods to solve the obtained system of equations.

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

Given that:

x represents the cost of an item from shelf A

y represents the cost of an item from shelf B

From given data, we have:

\(3 \times x + 2 \times y = \$26\\ 2 \times x + 5 \times y = \$32\)

Or, we get the system of equations as:

\(3x + 2y =26\\ 2x + 5y = 32\)

\(3x + 2y = 26\\ 2y = 26 - 3x\\ y = \dfrac{26-3x}{2} = 13 - 1.5x\)

Substituting this value of y in second equation, we get:

\(2x + 5y = 32\\ 2x + 5(13-1.5x) = 32\\ 2x - 7.5x + 65 = 32\\ -5.5x = -65 + 32\\ 5.5x = 33\\\\ x = \dfrac{33}{5.5}\\\\ x = 6\)

Using this value of x, we get:

\(y = 13 - 1.5x\\ y =13 - 1.5 \times 6\\ y = 13 - 9 = 4\)

Thus, we have:

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

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Answer:

26% tip

Step-by-step explanation:

213.90 / 1.15 = 186

213.90 + 20 = 233.9

233.9 / 186 = 1.26

26% tip

Answer:

None of the above

Step-by-step explanation:

Answer:

\(x + 2y= 2\)

Step-by-step explanation:

Given

Points:

\(F = (4,9)\)

\(G = (1,3)\)

Required

Determine the equation of line that is perpendicular to the given points and that pass through \((2,0)\)

First, we need to determine the slope, m of FG

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\(F = (4,9)\) --- \((x_1,y_1)\)

\(G = (1,3)\) --- \((x_2,y_2)\)

\(m = \frac{3 - 9}{1 - 4}\)

\(m = \frac{- 6}{- 3}\)

\(m =2\)

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

\(m_2 = -\frac{1}{m}\)

\(m_2 = -\frac{1}{2}\)

The equation of the line is then calculated as:

\(y - y_1 = m_2(x - x_1)\)

Where

\(m_2 = -\frac{1}{2}\)

\((x_1,y_1) = (2,0)\)

\(y - 0 = -\frac{1}{2}(x - 2)\)

\(y = -\frac{1}{2}(x - 2)\)

\(y = -\frac{1}{2}x + 1\)

Multiply through by 2

\(2y = -x + 2\)

Add x to both sides

\(x + 2y= -x +x+ 2\)

\(x + 2y= 2\)

Hence, the line of the equation is \(x + 2y= 2\)

Answer:

X+2y=2

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = \(\frac{10-9}{33-29}\) = \(\frac{1}{4}\) ← rate of change

Answer:

640 cm²

Step-by-step explanation:

The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths

Thus:

Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²

Area of Trapezoid ABCD = ? = x

Area of Trapezoid EFGH = 40 cm²

AB = 20 cm

EF = 5 cm

Substitute

x:40 = 20²:5²

x/40 = 400/25

x/40 = 16

Cross multiply

x = 16*40

x = 640

Area of trapezoid ABCD = 640 cm²

Answer:

the correct answer is B

Step-by-step explanation:

Answer:

If it’s reflected over y axis, your x- axis points will change so your answer is D

Step-by-step explanation:

The ratio of the horizontal change to the vertical change of a line would not be used to describe a slope. Thus the correct option is option C.

The slope of a line is defined as the ratio of the vertical change (rise) to the horizontal change (run) of a line.

Slope=Vertical Change/Horizontal Change

This is also represented as the "ratio of rise to run of a line".

Slope=Rise/Run

In the given question, however, option C states that the "ratio of the horizontal change to the vertical change of a line".

Horizontal Change/ Vertical Change= 1/slope

This is an incorrect statement since the ratio of the horizontal change to the vertical change of a line is the reciprocal of the correct ratio.

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Answer:

A

Step-by-step explanation:

I just did it

Answer:

B. the negative part of the x-axis

Step-by-step explanation:

i did em

Answer:

C

Step-by-step explanation:

all x values is domain, all y values are range

Answer:

Its c

Step-by-step explanation:

Domain = x value

Range = y value

A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.

Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values ​​of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.

Multiple Linear Regression - Formula

Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈

Where:

Yi​ is the dependent or predicted variable

β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.

β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.

βp is the slope coefficient for each independent variable.

∈ is the model’s random error (residual) term.

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Answer:

2875

Step-by-step explanation:

The proprtions are  25/10 = 5/2 and 3/4 = 15/20

Proportion is an equation that defines that the two given ratios are equivalent to each other e.g. 1/3 = 3/9

25/10 and 5/2  are proportions:

25/10 = (5×5)/(5×2)      (Divide both the numerator and denominator by 5)

25/10 = 5/2

3/4/10 and 15/20  are proportions:

3/4 = (3×5)/(5×4)      (Multiply both the numerator and denominator by 5)

3/4 = 15/20

Therefore, 25/10 = 5/2 and 3/4 = 15/20 are proprtions

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Lerchs-Grossman algorithm is a pit optimization software that helps in the determination of the most profitable final pit outline. The section of a copper porphyry ore body given has a cut-off grade of 0.45% Cu. Each block has dimensions of 16m x 16m x 16m (HxLxW).

The cost of mining a block of waste is $50, and the value of a block of ore is approximated to be $100 x (grade expressed in %). Firstly, we have to calculate the net present value (NPV) for all the blocks that are above the cut-off grade. NPV is calculated using the formula given below:

NPV = ((grade*100)*100)-50

Here, the cost of mining a block of waste is $50 and the value of a block of ore is approximated to be $100 x (grade expressed in %).

1. Firstly, the net present value (NPV) of each block above the cutoff grade is calculated.2. The blocks are then sorted in descending order of their NPVs.

3. Next, the algorithm calculates the limits of the pit at a sequence of levels, starting with the block of highest NPV.

4. It is assumed that the pit will extend downwards through the blocks from the highest NPV downwards.

5. If the pit reaches the edge of the ore body before reaching a certain level, it is truncated and the lower level is tried.

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Answer:

3°

Step-by-step explanation:

33 +19x = 90     subtract 33 from both sides of the equation

19x = 57             divide both sides by 19

x = 3°

The probability that Jeff wins exactly 1 prize is (3/4)³

According to the question,

A fast-food restaurant runs a promotion in which certain food items come with game pieces

Let the event of winning the game piece be A and x be the random variable for winning prize

So, Probability of Winning the game = P(A) = p = 1/4

Probability of not winning = q = 1 - 1/4

=> q = 3/4

Using Binomial distribution,

The Probability that he wins exactly 1 prize = P(x = 1)

=> P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

Here, n = 4 , x = 1

P(1) = ⁴C₁ p¹ q³

=> 4 × (1/4)( 3/4)³

=> (3/4)³ is probability that jeff wins exactly 1 prize

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Is this selection (A) the best one? a high positive number. The result of multiplying a negative number by a positive number is always negative.

The result of multiplying two numbers, whether they are positive or negative, is always positive. 3 plus 4 equals 12. The result is minus 12 since there is only one optimistic and one negative number.

Why does adding two negative numbers together results in a positive number?

Repeated subtraction equals multiplication by a negative. Negative numbers were reduced in negative value after they have been multiplied together. Students may easily relate both ideas thanks towards this comparison among both multiplication and addition.

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Answer:

35 hrs

Step-by-step explanation:

Hope this helps! Have a great day!!

The new volume of the air leaving the compressor can be calculated using Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the product of pressure and volume is constant.

According to Boyle's Law,\(P1V1 = P2V2\), where \(P1 and V1\) are the initial pressure and volume, and \(P2 and V2\) are the final pressure and volume, respectively. In this case, we are given the initial volume (V1 = 0.8 cu in) and the initial pressure (P1 = 14.7 psi), as well as the final pressure (P2 = 42 psia).

Using Boyle's Law, we can rearrange the formula to solve for \(V2:\)

\(V2 = (P1 * V1) / P2\)

Plugging in the values, we get:

V2 = (14.7 psi * 0.8 cu in) / 42 psia

Simplifying the equation, we find:

\(V2\) ≈ 0.280 cu in

Therefore, the new volume of the air leaving the compressor is approximately 0.280 cubic inches. It's important to note that this calculation assumes the temperature remains constant throughout the process.

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9 yards.

Explanation:

Data:

side of a square : x

10 time the perimeter of the square : 360 yards

Formula:

Perimeter of a square = 4x

10 Time the perimeter of the square = 10(4x) = 360 yards

Solution:

10(4x) / 10 = 360 / 10

4x / 4 = 36 / 4

x = 9 yards

Answer:

1. x=22  2. x= 28

Step-by-step explanation:

1. The total of angles in a triangle add up to 180˚.

93+65= 158

180-158=22

This means that x = 22

2. Angles on a straight line add up to 180.

180-125=55

180-83=97

55+97=152

180-152=28

This means that x = 28

Hope that this helps you.

Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

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Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

33,600

Step-by-step explanation:

length=20m

wide=14m

area= 28m²

1m= 28

cost = 120*28= rs33600 per m²

Answer:The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

Step-by-step explanation:

According to the article, one way that the apple iPod and the Nintendo Wii are the same is both were innovative products that disrupted their respective industries

The Apple iPod and the Nintendo Wii are both electronic devices that were popular in the early 2000s. The iPod revolutionized the way people listened to music, while the Wii introduced a new way to play video games using motion controls.

The iPod had a simple and intuitive interface that made it easy to navigate and listen to music, while the Wii was designed to appeal to a broad audience, including casual gamers and families. The article was trying to explain how innovative both products were.

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The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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Answer:

2

Step-by-step explanation:

Answer:

2 is the smallest number