7x − 8y = 2 a function

Answer:

A.) -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

A² - B²

A = 3

B = -4

Step 2: Evaluate

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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The length of the towel bar is 9.5 inches.

Length is used to measure distance, In the International System of Quantities, a quantity with the distance dimension is referred to as length. The majority of measurement systems select a base unit for length from which all other units are derived. The metre serves as the International System of Units' fundamental unit of length.

Suppose, the length of the towel bar is x inches

The distance from each end of the towel bar to the end of the door is 9

inches. So, the total width of the door will be:[(x+(9*2)]=(x+18) inches

Given that, the width of the door is 27 inches 27.5 So, the equation will be.

x+18=27.5

x=27.5-18=9.5

Thus, the length of the towel bar will be 9.5 inches.

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The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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Answer:

0

Step-by-step explanation:

Step 1:

- 4k + 1 = 1 + k + 3k     Equation

Step 2:

- 4k + 1 = 1 + 4k     Add

Step 3:

1 = 1 + 8k       Add 4k on both sides

Step 4:

0 = 8k     Subtract 1 on both sides

Answer:

k = 0

Hope This Helps :)

Answer:

x = 16

Step-by-step explanation:

sqrt x   + 3  = 2 sqrt x - 1         subtract sqrt x from both sides

3    =   sqrt x   -1                    add 1 to both sides

4 = sqrt x               square both sides

16 = x

Answer:

(7 + 3) + 2 equals 10 + 2 which equals 12

7 + (3 + 2) equals 7 + 5 which equals 12

Step-by-step explanation:

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

Answer:B

Step-by-step explanation:

A reflection of the line segment across the line y = - x, will produce an image with endpoints at (- 4, 1) and (- 1, - 4).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know, A reflection across the 180° about the origin transforms

(x, y) to (-x, - y)

Therefore A line segment has endpoints at (-1, 4) and (4,1) will have an image at  (- 4, 1), and (- 1,- 4) is a reflection of the line segment across the line y = - x.

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Answer: The new scale factor needs to be 10/3

Explanation:

Consider a line segment that is 10 units long. Apply the scale factor 3/10 to it, and now it's 3 units long because (3/10)*10 = 3.

To get it back to 10 units, we multiply by the scale factor 10/3 which is the reciprocal of the original scale factor. Note that (3/10)*(10/3) = 1. Those two scale factors multiply to 1 to indicate no change has been made overall.

Answer:

6

Step-by-step explanation:

90/15 and then i put enter and it gives me 6

Answer:

409 i would say

Step-by-step explanation:

very sorry is its wrong!!! :(

Answer:

prob d im guessing :^)

Step-by-step explanation:

tell me if i got it right or wrong i will fix if needed

We multiply the numerator and denominator by the conjugate of the denominator to rationalize it. The conjugate of the denominator is the same expression but with the opposite sign.

Then, we have:

Now, we apply the difference of squares formula.

Therefore, after rationalizing the denominator of the given fraction, the new denominator is 3.

Therefore , the solution of the given problem of angles comes out to be 41.92 angles is the correct option.

In Euclidean space, an angle is indeed a construction comprised of two beams that split at the apex & vertex, which are located in the middle of the angle. The side of loops are the name given to these rays. A combination of two rays may result in an angle that is within the planes in that they are located. Two planes can be combined to form an angle as well. They are referred to as dihedral angles. Two line rays with end points can be arranged in a variety of ways to create styles in two dimensions.

Here,

Given :

=>  speed = 35 feet per second

=> time = 0.8 second

=> height = 9 feet

Distance covered slantly = 0.8 * 35 = 28 feet

=> Sin x = 9/28

=> x =  Sin⁻¹(9/28)

=> x = 41.92

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Answer:

a.) P(HH|C)=2/5

Explanation:

Given following:

Solving steps:

\(\sf P(HH|C) = \dfrac{P(HH \cap C) }{P(C)}\)

\(\sf P(HH|C) = \dfrac{4 }{10}\)

\(\sf P(HH|C) = \dfrac{2 }{5}\)

Answer:

11) 153, 85, 238 12) 12, 15, 27

Step-by-step explanation:

To find the area of these shapes, you have to cut them into two seperate shapes as shown the in the image: Shape 1 and Shape 2

11) Let Shape 1 be the rectangle: 17×9=153

let Shape 2 be the triangle: \(\frac{1}{2}\)×10×8.5=42.5×2=85

Total area: 153 + 85 = 238

12) Let cut this shape vertically where you'll have a rectangle thats 3 by 4 and a rectangle that's 5 by 3

Shape 1: 3×4=12

Shape 2: 5×3=15

Total area: 15 + 12 = 27

Step-by-step explanation:

everything can be found in the picture

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

The equivalent expression is  \(8.25\cdot y -14\).

Step-by-step explanation:

Let \(4\cdot (1.75\cdot y -3.5)+1.25\cdot y\), we proceed to simplify the expression by like terms and other algebraic operations:

1)  \(4\cdot (1.75\cdot y -3.5)+1.25\cdot y\)  Given

2) \([1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y\) Commutative property/Definition of subtraction.

3) \((1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y\) Distributive and associative properties.

4) \(7\cdot y +(-14)+1.25\cdot y\) Definition of multiplication/\(a\cdot (-b) = - a\cdot b\)

5) \((7+1.25)\cdot y -14\) Commutative and distributive properties/Definition of subtraction.

6) \(8.25\cdot y -14\) Definition of addition/Result

The equivalent expression is  \(8.25\cdot y -14\).

Answer:

Explanation:

The angles 4 and 8 are equal; therefore,

Subtracting x from both sides gives

Subtracting 20 from both sides gives

Finally, dividing both sides by 2 gives

With the value of x in hand, we now find the measure of angle 8.

Hence, the measure of angle 8 is 110.

Answer:

600

Step-by-step explanation:

Surface area of a cube:

SA = 6a²

Given:

a = 10

Work:

SA = 6a²

SA = 6(10²)

SA = 6(100)

SA = 600

Answer:

600 squared feet

Step-by-step explanation:

This is your answer because in order to find surface area you can use the equation 6s². Which would be 6 times your side length of 10, then to the 2nd power. This is the equation because there are 6 sides in total on your cube and you are trying to find the surface area of all the sides. Since this is a cube all the sides lengths are the same, therefore you times the side length by 6 to include all of the sides. After you get your answer it is squared feet because you have a 3 dimensional shape or 3D shape. Hope this helps!!

6s²=SA

6(10)²=SA

60²=SA

600=SA

Answer:

A. Because it would simplify this equation.

Answer:

wheres the chart??

Step-by-step explanation:

post it please

Answer:(2,-3)

Step-by-step explanation:

Answer:

  A.  3.6×10^5 grams

Step-by-step explanation:

Multiply the number of people by the amount per person:

  (1.8×10^3)(2×10^2 g) = 3.6×10^5 g

__

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b).

if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.

Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means

\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)