50 points! Solve the following systems of equations.

Answer:

1/2 is less than

Step-by-step explanation: 1/2 is only 50% while 4/5 is 80%

Matthew's monthly costs are $825.00, while his monthly expenses  is $696.60.

This comprises regular living costs like rent or a mortgage, electricity, a car payment, and gas, but it also includes sporadic costs like clothes, groceries, and haircuts.

$10.75 per hour times 18 hours equals $193.50 per week.

$193.50 times two pay periods equals $387.00.

$387.00 - 10% = $348.30

$2 paychecks a month times $348.30 equals $696.60 every month.

The monthly salary of Matthew is $696.60.

Matthew's Costs:

Rent = $450.00

$200.00 for food.

Cable, Internet, and Phone Together = $175.00

The sum of Matthew's monthly expenses is $825.00 (or $450.00 plus $200.00 plus $175.00).

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Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

Rent or a car payment are examples of monthly costs that are fixed expenses. On the other hand, a variable expense is one that can vary from month to month, like food or entertainment. Variable expenses demand greater flexibility in budgeting because the cost can change, but fixed expenses are often easier to prepare for because the amount is constant.

Given that, cost of tuition fee is $9,600 for the first year.

Now, Mateo's parents will pay for one-third of the tuition thus:

1/3 x $9,600 = $3,200

From the saving the money used is $1500 thus the remining cost is:

$9,600 - $3,200 - $1,500 = $4,900

For 12 months in a year we have:

$4,900 / 12 = $408.33

Hence, Mateo needs to save at least $408.33 every month to reach his goal of paying off the remaining tuition cost at the end of 12 months.

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Answer:

1.8 (the 8 is recurring)

Step-by-step explanation:

use a calculator -_-

Answer:

1 and 8/9 turns into a repeating decimal, which is 1.888888889.

The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Figure 1 = (-1,1)

Figure 2 = (-2,5)

So the answer should be x + (-1) and y + (4)

Answer: y= -3/7x + 3

Step-by-step explanation:

I used some graph paper for this, mark the two points and use a ruler to connect the lines. y=-3/7x is slope, and 3 is the y intercept.

Answer:

3x + 7y -2=0

Step-by-step explanation:

Two points are given to us and we need to find the Equation of the line passing through the two points . The points are (0,3) and (7,0) . We can use here two point form of the line as ,

\(\implies y-y_1 = \dfrac{y_2-y_1 }{x_2-x_1} ( x - x_1) \\\\\implies y - 3 =\dfrac{3-0}{0-7}(x - 0 ) \\\\\implies y - 3 =\dfrac{-3}{7}x \\\\\implies 7y - 2 = -3x \\\\\implies \underline{\underline{3x + 7y -2 = 0 }}\)

The level curves of the function h(x,y) = 2x-y at c = 0, -2, 2 are y = 2x, y = 2x + 2, y = 2x - 2 respectively.

A level curve (also called a contour line or an isocline) of a function is a curve that represents all the points where the function has a constant value. To find the level curve of a function at a given value of c, we need to set the function equal to c and solve for the variables.

For h(x,y) = 2x-y, we can find the level curves at c = 0, -2, 2 by setting the function equal to c and solving for x and y:

The level curves of h(x,y) = 2x-y at c = 0, -2, 2 are the lines y = 2x, y = 2x + 2, y = 2x - 2 respectively. Each line represents a different value of c and separates the domain of x and y into different regions where the function takes on that constant value.

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The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer: B

Step-by-step explanation:

We can triple all the coordinates, so:

\(A'=(3 \cdot 3, 3 \cdot 3)=(9, 9)\\B'=(6 \cdot 3, 6 \cdot 6)=(18, 18)\\C'(9 \cdot 3, 3 \cdot 3)=(27, 9)\)

what's up? the answer to this is 339+340+341

best of luck with your studies

Answer: 339 + 340 + 341 = 1020

Step-by-step explanation:

3X + 3 = 1020
3X + 3 - 3 = 1020 - 3
3X = 1017
3X/3 = 1017/3
X = 339

Which means that the first number is 339, the second number is 339 + 1 and the third number is 339 + 2. Therefore, three consecutive integers that add up to 1020 are 339, 340, and 341.

339 + 340 + 341 = 1020

_Hope that helped_

To factor this expression, 12 is factor of the two coefficients:

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

0.0013 probability that at least 6 employees were over 50.

Step-by-step explanation:

The employees were "chosen" to be dismissed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this problem:

8 employees dismissed means that \(n = 8\)

Had 7 + 17 = 24 employees, which means that \(N = 24\)

7 over 50, which means that \(k = 7\)

What is the probability that at least 6 employees were over 50?

6 or 7, so:

\(P(X \geq 6) = P(X = 6) + P(X = 7)\).

In which

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 6) = h(6,24,8,7) = \frac{C_{7,6}*C_{17,2}}{C_{24,8}} = 0.0013\)

\(P(X = 7) = h(7,24,8,7) = \frac{C_{7,7}*C_{17,1}}{C_{24,8}} \approx 0\)

\(P(X \geq 6) = P(X = 6) + P(X = 7) = 0.0013 + 0 = 0.0013\)

0.0013 probability that at least 6 employees were over 50.

Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …

Proportional relation

The slope

The blue slope is negative and the green one is positive, if you realize it your slope has to be positive.

To calculate the slope (m)

y = m x +b

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

____________________

You can take two points from the graph for example

Points (x, y)

Point 1 (0, 0); x1= 0 ; y1= 0

point 2 (300, 450); x2= 300 ; y2= 450

m = (450 - 0)/ (300 - 0)

m = 45/ 30

m = 3/2

_____________________

The equation that represents the graph

y= 3/2 x

________________________________

Table

Grams of fish (x); the number of calories (y)

y= 3/2 x

x= 300 Grams of fish

y= 3/2 (300)

y= 450

450 calories

______________

x= 1

y= 3/2 (1)

y= 3/2 = 1.5

1.5 calories

_____________

x= 1000

y= 3/2 (1000)

y= 3000/2 = 1500

1500 calories

_______________________

y = 2001 calories

y= 3/2 x

2001 = 3/2 x

x= 2001 *2/3

x= 1334

1334 grams of fish

Answer:

946.3529Milliliters

Step-by-step explanation:

Answer:

946.35295 Milliliters

Step-by-step explanation:

Answer:

The Answer is x=2

Step-by-step explanation:

Hope this helps!!!!

Answer:

x=2  

Step-by-step explanation:

4x+3=11

4x=11-3      ( subtract 3 on both sides)

4x=8

x=2            ( divide 4 on both sides)

Answer:

$793.00

Step-by-step explanation:

109x7=763

763+30=793

Given:

The radius of the base = 3 cm

The height of the cone = 8cm

To find:

The volume of the cone

Step-by-step solution:

The volume of the cone = 1/3 × πr²h

The volume of the cone = 1/3 × 3.14 × (3)² × 8

The volume of the cone = 3.14 × 3 × 8

The volume of the cone = 75.36 cm³

Thus we can s

Answer:1,200,000

Step-by-step explanation:

Answer:

The answer is Zack garden

Answer:

Brainliest goes to me!

Step-by-step explanation:

(8 x 11) / 4 +12

88/4 + 12

22 + 12 = 34

34

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

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

Answer:

\(\huge\boxed{\text{the slope}=\dfrac{2}{3}}\)

Step-by-step explanation:

The formula of a slope

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

Put the coorcinates of the points:

(2, 3); (5, 5)

\(m=\dfrac{5-3}{5-2}=\dfrac{2}{3}\)

(2, 3); (8, 7)

\(m=\dfrac{7-3}{8-2}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\)

The point (2, 3), (5, 5) and (8, 7) are collinear because have the same slope.

The number of cups that equal one gallon is 16

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

This word problem are solved into mathematical equation.

Two cups = 1 pint

2 pint = 1 quart

therefore the number of cup in a quart. = 2×2 = 4

4 quart = 1 gallon

1 quarter = 4 cups

4 quart = 4×4 = 16 cups

16cups = 1 gallon

Therefore the number of cups in a gallon is 16

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