What value does each equation need to be multiplied by in order to eliminate the y-terms?

Equation 1: 6x − 5y = -4
Equation 2: 4x + 2y = 28

Please Help, I don't get it

The numbers inside the parentheses are the x values. Replace x with each number and solve.

F(1) = 50 + 30(1)= 50+ 30 = 80

F(2) = 50 + 30(2)= 50 + 60 = 110

F(3) =!50 + 30(3)= 50 + 90 =140

The value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = 50 + 30x

The value of the function at x = 1, will be

f(1) = 50 + 30 × 1

f(1) = 50 + 30

f(1) = 80

The value of the function at x = 2, will be

f(2) = 50 + 30 × 2

f(2) = 50 + 60

f(2) = 110

The value of the function at x = 3, will be

f(3) = 50 + 30 × 3

f(3) = 50 + 90

f(3) = 140

Thus, the value of the function f(x) = 50 + 30x at x = 1, 2, and 3 will be 80, 110, and 140.

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Answer:

r = c/2pi

Step-by-step

c= pi*d

d=2r

c = 2*r*pi

Answer:

r=8

Step-by-step explanation:

The answer is r8 for anyone looking. (e2020)

Answer:

C 120

Step-by-step explanation:

The number of 3060 teams of 4 can be formed for competition.

The correct answer is A.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Given:

The chess club has 18 students.

To find the number of combination of teams of 4 can be formed for competition:

¹⁸C₄

Solving the combination,

¹⁸C₄

= 18! / 4! x (18-4)!

= 18! / 4! x 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2 x 1

= 3060

Therefore, the number of teams are, 3060

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The probability of randomly picking 3 red marbles in a row is:

P = 0.0315

If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.

There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:

P = 6/19

And we want to do this thing 3 time (when we get the red marble we return it to the bag).

Then we will have the probabilities:

q = 6/19

k = 6/19

The joint probability of these 3 events is the product between the individual probabilities, we will get:

P = (6/19)*(6/19)*(6/19) = 0.0315

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Answer:

The central angle of the arc is 288 degrees.

Step-by-step explanation:

The correct question is

A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?

we know that The circumference of the circle subtend a central angle of 360 degrees

so using a proportion

Find out the central angle for an arc of length 32/5

The answer is 105 units²

Explanation:

Since the middle is a square, the base of all 4 triangles are equal.

Let x be the height of the triangles.

The height of the triangle can be defined as:

15 = 7 + x + x

15 = 7 + 2x

15 - 7 = 2x

x = 8/2

x = 4

Area = area of square + 4(area of triangle)

= (7 x 7) + 4(1/2(7)(4))

= 49 + 56

= 105 units²

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

Answer:

c

Step-by-step explanation:  3 is not bigger than 9 so it can't bump it up so it stays like that.

Water pours into a fish tank at a rate of 0.3 cubic meters per minute, the water level is rising at a rate of 1/60 m/min

Given

Let, h is the height of the water level in the fish tank after t minutes. Then, the volume of the water in the fish tank after t minutes is given by \(V = Area of the base * height V = 6 * h m^3\)The rate at which water pours into the fish tank is 0.3 cubic meters per minute.

Therefore, the rate of change of volume of the water in the fish tank after t minutes is \(dV/dt = 0.3 m^3/min\). As per the chain rule of differentiation,\(dV/dt = dV/dh *dh/dt\) We have\(V = 6h^3m^3 \Rightarrow  dV/dh = 18h^2\Rightarrow  dV/dt = 18h^2 * dh/dt\) Given that,\(dV/dt = 0.3 m^3/min\). Therefore,\(0.3 = 18h^2 * dh/dt \Rightarrow  dh/dt = 0.3/18= 1/60 m/min\) Hence, the water level is rising at a rate of 1/60 m/min.

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Answer:

\(\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)\)

\(=\) \(x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15\)

\(=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15\)

\(=x^4+2x^4-2x^3-2x^2+4x+5-15\)

\(=3x^4-2x^3-2x^2+4x+5-15\)

\(=3x^4-2x^3-2x^2+4x-10\)

\(OAmalOHopeO\)

Answer:

(-9,4)

Step-by-step explanation:

(-4-5,2+2)

The diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

The given figure can be visualized as a circle with two perpendicular chords of length 7 inches each.

The chords are bisected perpendicularly by two segments passing through the center, each of length 6 inches.

Now, we have to find the diameter of the circular plate.

To find the diameter, we have to draw a perpendicular line to the center from one of the endpoints of a chord.

This will give us a right triangle with one side as 3 inches (half of the length of the chord) and the hypotenuse as the radius of the circle.

Using Pythagoras theorem, we get:

r² = 3² + 6² = 45r = √45 = 3√5 inches

Since the radius is 3√5 inches, the diameter is 6√5 inches.

To get the value of the diameter to the nearest tenth of an inch, we substitute 3.16 for √5.

Therefore, the diameter of the circular plate is:

Diameter = 6(3.16) = 18.96 inches ≈ 16.3 inches (rounded to the nearest tenth of an inch).

Thus, the diameter of the circular plate is 16.3 inches (rounded to the nearest tenth of an inch).

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Answer:

1.) 67.2

2.) 115.2

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

The answer is 71 miles

Step-by-step explanation:

According to the decimal rule, the Monday's 12.3 will be rounded off to 12,Tuesday 14.1 will be rounded off to 14, Wednesday 17.7 will be rounded off to 18 as .7 is greater than .5,Thursday 11.8 is rounded off to 12 and Friday to 15

To calculate how far she biked in all in five days we add all the distances she covered every day.So,

12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.    

Answer:

71 miles

Step-by-step explanation:

The mileage of each day is,

Then the total miles will be,

→ 12 + 14 + 18 + 12 + 15

→ 71 miles

Hence, she biked 71 miles.

Using Fermi estimation, we can estimate the number of discarded mobile phones in Adelaide over one year and calculate the height of the tower they would create. The final answer will depend on our assumptions and rough approximations.

Explanation:

To estimate the number of discarded mobile phones, we can make some assumptions and approximations. Let's say there are approximately 1 million people in Adelaide, and on average, each person owns one mobile phone. If we assume that the average lifespan of a mobile phone is 2 years before it gets discarded, then in one year, approximately 500,000 mobile phones might be discarded.

Now, let's estimate the height of the tower. Assuming each mobile phone is 0.1 meters thick, we can stack them on top of each other. With 500,000 phones, the tower would be approximately 50,000 meters tall.

To convert this height into the equivalent number of building stories, we need to make another approximation. Let's assume that each story of a building is 3 meters tall. In that case, the tower of discarded mobile phones would be equivalent to a building with approximately 16,667 stories.

It's important to note that this estimation relies on various assumptions and rough approximations, and the actual numbers could be different. The purpose of this exercise is to demonstrate the thought process and reasoning behind Fermi estimation rather than obtaining a precise answer.

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Average seawater salinity = 3.5%100g of salt has been left after seawater has evaporatedThe mass of salt dissolved in 100g of seawater will be 3.5g (since salinity is 3.5%)Let x be the mass of seawater that needs to be evaporated to leave 100g of salt.

According to the law of conservation of mass,Mass of salt in the solution before = Mass of salt in the solution afterTherefore, 100g of salt that has been left after evaporation was originally dissolved in x grams of seawater.

Therefore, the mass of salt in that seawater would have been 3.5% of x.Using the above information, we can write an equation as follows:0.035x = 100g Therefore, about 2857.14 g or 2.85714 kg of seawater needs to have evaporated to leave 100 g of salt.

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Answer:

Step-by-step explanation:

2²=4

3²=9

4<7<9

√7 lies between 2 and 3.

The planet that has the larger mass is the planet B and the measurements in standard forms are

From the question, we have the following parameters that can be used in our computation:

Planet A = 5*10^26 kilograms

Planet B = 2*10^28 kilograms

Rewrite the masses properly

So, we have

Planet A = 5*10²⁶ kilograms

Planet B = 2*10²⁸ kilograms

The exponent 28 is greater than the exponent 26

This means that

2*10²⁸ is greater than 5*10²⁶

So, we have

Planet B has the larger mass

When the measurements are expressed in standard forms, we have

Planet A = 500000000000000000000000000 kilograms

Planet B = 20000000000000000000000000000 kilograms

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Given that James saw exactly one of these types of animal, the probability that he saw a crocodile is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probability of seeing exactly one type of animal is given as follows:

2/5 x 1/6 + 3/5 x 2/9 = 1/15 + 6/45 = 3/45 + 6/45 = 9/45.

The probability of seeing exactly one type of animal and being a crocodile is given as follows:

2/5 x 1/6 = 1/15 = 3/45.

Hence the conditional probability is given as follow:

(3/45)/(9/45) = 3/9 = 1/3.

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Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and  put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

In the context of this problem, the parameters are given as follows:

n = 7, p = 0.64.

The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740\)

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The linear function with a slope of -1/4 and intercept of -5 is given as follows:

f(x) = -0.25x - 5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Comparing to the standard definition, the linear function is defined as follows:

f(x) = -0.25x - 5.

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Answer:

D. 4

Step-by-step explanation:

The absolute value of anything is just the positive form... it doesn't mater if it was originally a positive or negative.

Answer:

Joanie is correct. Each second sweater is sold at 40% off. If you divide this by 2 each sweater is sold by 20% off.

Joanie buys 4 sweaters and saves 20% total.

Drop downs:

Answer:

Here's the answer

Step-by-step explanation

y= 18x+9.20

\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)

well, from the picture, we can see the cylinder has a diameter of 5 and thus it has a radius of half that, or 2.5, and a height of "h", so

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\pi (2.5)^2 h\)

Answer:

In the expression of 7xy, if x is negative, then y must also be negative for the product to be positive.

Let me know if this helps!

Answer:

it must be negative

Step-by-step explanation:

7xy = a positive number

7 is positive.

x is a negative number.

y must be negative for 7xy to be positive.

(+) * (-) * (-) = +

The product of two negative numbers is positive.