y=2x-8. 13x+2y=18. Solve each system of equations by graphing. Clearly identify your solution.

Answer:

Step-by-step explanation:

-2x + 6 = 14

-2x = 8

x = -4

Answer:

\(x=-4\)

Step-by-step explanation:

To solve for the variable x, we're going to isolate it.

First step is: Subtracting 6 by both sides:

\(-2x+6-6=14-6\\\)

Notice how the +6 and the -6 cancel each other out. So we get:

\(-2x=8\)

Second step is to divide both sides by -2:

\(\frac{-2}{-2} x=\frac{8}{-2}\)

The -2's cancel each other out to:

\(x=-4\)

Discounted price = $60

Discount = 60%

Let the usual price be x.

So, x - (60% of x) = $60

=> x - [(60/100) × x] = $60

=> x - (60x/100) = $60

=> x - (3x/5) = $60

=> (5x/5) - (3x/5) = $60

=> 2x/5 = $60

=> 2x = $60 × 5

=> 2x = $300

=> x = $300/2

=> x = $150

So, the usual price is $150.

Answer:

i think the fourth one is equvilent ratio

Step-by-step explanation:

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

5.5 makes more sense.

Step-by-step explanation:

Answer:

The  correct option is  E  

Step-by-step explanation:

From the question we are told that

    The  population mean is  \(\mu = \$ 758.83\)

     The  null hypothesis  is \(H_o : \mu \ge 758.83\)

      The alternative hypothesis is  \(H_a : \mu < 758.83\)

      The  p-value is  \(p-value = 0.0349\)

      The  level of significance is  \(\alpha = 0.05\)

Generally from the value given we see that  the p-value  < \(\alpha\) hence  

  The decision rule is  

Reject the null hypothesis  

 The  conclusion is  

    The true average claim amount is significantly less than $758.83.

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

Each coordinate of H'J'K' is 1/4 of the value for HJK.

The scale factor is 1/4.

Answer:

1/4 would be right I am 100% sure

Based on the provided proportional relationship, 14 skeins of yarn can make 7 scarves.

The data provided shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn. Proportional relationships refer to relationships between two variables where their ratios are equivalent. In order words, in a proportional relationship, one variable is always a constant value times the other. That constant is called the constant of proportionality (k). It is calculated as: k = y/x where y is the variable that changes due to change in x. Based on the information, k = 2/4 = 4/8 = 0.5.

Hence, the number of scarves made using 14 skeins of yarn is given by y = 0.5x. When x = 14, y = 0.5*14 = 7

Note: The question is incomplete. The complete question is attached.

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Answer:

only allow 3 decimals

90.284 is the answer we removed all others except for 3

(3,4) and (6,2) could be vertices of a right triangle with (6,4) and (3,2)

(0,0) is on the same line as (6,4) and (3,2) so it doesn't even form a triangle, much less a right triangle.

(3,6) forms a scalene isosceles triangle, but not a right triangle  It's a 4-sqr13-sqr13 triangle

(4.5,3) also forms an obtuse isosceles triangle, but not a right triangle  It's a sqr13 - sqr3.25 - sqr3.25 triangle

Answer: 4.338

Step-by-step explanation: Calculator

The circumference equal to 25 units

The perimeter of square is 4 times the side.

P= 4* side

The perimeter of the square,

4x = P

Now P is =  32 units then,

32 units = 4(x)

x = 8 inches

So,  the diameter of the cylinder formed by the rotation of 8 inches  

Now, the circumference of the base is

C = 2πr = πD

If r =8  inches

C = π(8 units) = 8π units

C = 8(3.14) = 25.12 units

Hence, the circumference equal to 25 units

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Answer: The side of the square is 20 miles

Step-by-step explanation:

Since the area of square= side *side

given, area =400 square miles

400 = side *side

400= side²

√400=side

20 miles=side

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Answer:

84.48

Step-by-step explanation:

Formula = Number x 100

Percent = 49 x 100

58 = 84.48

Answer:

The given condition in question will form a right angle triangle

and the length of sides of triangle are given 55ft, 48ft and missing one.

Now using pythagoras theorem,55²+48²= x²

x² = 3025 + 2304

x² = 5329

Taking square root of 5329 will give 73 ft!

Answer:

The first step.

Step-by-step explanation:

The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;

B. 96 in²

The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.

The description of the shape in the figure = Square pyramid

Side length of the square base of the square pyramid = 4 inches

Base length of the triangular slant faces = Side length of the square base = 4 inches

Height of the triangular faces = 10 inches

The surface area of the square pyramid is therefore;

Sum of the area of the four triangular faces + Area of the square base

Area of one triangular face = (1/2) × 4 × 10 = 20

Area of the square base = 4 × 4 = 16

The total surface area of the square pyramid is therefore;

A = 4 × 20 in² + 16 in² = 96 in²

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Check the picture below.

Answer:

a=14

b=6 radical 2

Step-by-step explanation:

45-45-90 rule

Answer:

160 is the total

Step-by-step explanation:

Number of tables with 2 chairs: 20

Number of tables with 4 chairs:  30

40% of the tables have 2 chairs at each table. In total, there are

40  chairs at these tables.

60%  of the tables have 4 chairs at each table. In total, there are  120  chairs at these tables.

Altogether, the restaurant has a total of  160  chairs

if is wrong i'm sorry

Answer:

y=-2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-1)/(2-0)

m=-4/2

m=-2

y-y1=m(x-x1)

y-1=-2(x-0)

y=-2(x)+1

y=-2x+1

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The equation to model on this situation is :

                   0.6 = (0.75x + 0.9)/(x + 3)

Noemi makes bracelets averaging $0.60 per bead, so we need to write an equation that models this average bead cost. This can be found by dividing the total bead cost by the number of beads used.

1. The total cost of a bead can be found by multiplying the price of each type of bead by the number used and adding these values ​​together.

So:

Total Cost = 0.75x + 3*0.3

                  = 0.75x + 0.9

2. Total number of beads = x + 3

3. Thus, the average cost is:

        (0.75x + 0.9)/(x + 3)

4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:

                      0.6 = (0.75x + 0.9)/(x + 3)

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Answer:

20200

Step-by-step explanation:

As you're in a hurry, I can give it later? xx

Answer:

Give me a sec

Step-by-step explanation:

Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

Answer:

2(3x + 4)

Step-by-step explanation:

to solve this equation you can distribute the two throughout the equations

an easy way to see which one is correct is to check the symbols and what they multiply to

the first expression is obviously wrong as it has a negative symbol

we can now look at the second to last ones

the third one is wrong because 4x and 2 multiply to 6x

the last one is wrong because 2 and 8 do not multiply to 8

the answer is the third one

Answer: its already in its simplest form its 11/4

Step-by-step explanation: