Andrew is going to drive from his house to City A without stopping. An equation that determines Andrew's distance from City A t hours after leaving his house is D=240-30 t. What is the slope of the equation and what is its interpretation in the context of the problem?
The slope of the function is ____ which reveals

Answer:

If you receive a 15% discount on a shirt that normally costs £42, the discounted price of the shirt will be £42 - (15/100) * £42 = £35.70. If you pay £50 for the shirt, you will receive £50 - £35.70 = £14.30 in change. Therefore, the correct answer is D- £14.30.

Step-by-step explanation:

Proportionately, the sorting machine will take 100 minutes (1 hour and 40 minutes) to process 720 tons if it takes 50 minutes to process 360 tons.

Proportion is the ratio or numerical relationship that one quantity bears to another.

Proportions are equated to each other to find missing variables.

Proportions are fractional values, usually depicted as fractions, decimals, or percentages.

The total number of oranges to sort = 720 tons

Machine processing speed = 360 tons per 50 minutes

Proportionately, the machine can process 7.2 tons per minute (360/50).

The time to sort 720 tons = 100 minutes (720/360 x 50) or (720/7.2)

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Point (4,4) is the only ordered pair that satisfies both equations y = (1/4) x + 3 and y = 2x - 4.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

In the given graph,

The point (4, 4) is the intersection point of the lines.

Since, the point (4, 4) is intersection point,

Therefore, this point will satisfy the equations of line.

From the options, take equations,

y = (1/4) x + 3

Substitute x = 4 and y = 4

4 = (1/4) 4 + 3

4 = 4

y = 2x - 4

Substitute x = 4 and y = 4

4 = 2 × 4 - 4

4 = 4

The point (4,4) satisfies both the equations.

Therefore, (4,4) is the only ordered pair that satisfies both equations y = (1/4) x + 3 and y = 2x - 4.

Option (C) is correct option.

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Answer: 34.44

Step-by-step explanation:

Answer:its d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the x- intercept is the point where the line crosses the x- axis.

any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x , that is

4x + 2 = 0 ( subtract 2 from both sides )

4x = - 2 ( divide both sides by 4 )

x = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] ← x- intercept

coordinates of x- intercept = (- [tex]\frac{1}{2}[/tex], 0 )

Answer:

ST and RQ

Step-by-step explanation:

The 'arrows'  on the line segments mean they are parallel

The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,

and 0.2.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

There are a total of 6 possibilities when rolling a die and of which three are even numbers.

P(rolling an even number is) = 3/6 = 1/2 0.5.

There are two possibilities when flipping a coin,

∴ The probability of getting a head is (1/2) = 0.5.

There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.

Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.

There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.

Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.

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Answer: C

Step-by-step explanation:

A function cannot have repeated x value in a set, and c is the only one without repeated x value

The given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

So, we have the equation:

5x^2+6x+4=0

Discriminant (D): b² - 4ac

Insert values in the given formula as follows:
b² - 4ac is 6² - 4(5)(4).

= 36 - 80

= - 44 and it is less than zero.

No real roots

Therefore, the given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

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Using the trigonometry ration, the value of x is 53.6.

In the given question, a park ranger stands a certain distance from an observation tower.

We have to write an equation and then solve for x and choose the right option.

From the diagram we can see that the height of an observation tower is 45 and angle is 40.

To find the value of x we use the trigonometry ratio.

As we know that tangent is the ratio of perpendicular side and adjacent side.

From the given diagram

tan(40)=45/x

Now simplifying

0.8391 = 45/x

Multiply by x on both side, we get

0.8391x = 45

Divide by 0.8391 on both side, we get

x = 53.6 feet

Hence, the value of x is 53.6.

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Answer: 32

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

sum of all three angles of a triangle equal 180

135+5x+4x=180

135+9x=180

-135.     -135

9x=45

x=5

angle A is 5x

5(5)

25

hopes this helps please mark brainliest

Answer:

y = [tex]-\frac{1}{3}[/tex]x + 2

Step-by-step explanation:

Find the reciprocal change the sign of the gradient (m=3):

[tex]-\frac{1}{3}[/tex]

so

y = [tex]-\frac{1}{3}[/tex]x + c

The intersect is 2, so c = 2

Final answer: y = [tex]-\frac{1}{3}[/tex]x + 2

Answer: the answer is try hard and if you don’t succeed try try again

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x= -8

Step-by-step explanation:

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

Answer:False

Its just simply incorrect

Answer:

12

X

7

Step-by-step explanation:

Answer: look it up how to pronounce the word

Step-by-step explanation: go to goggle translate or an app.

m =4e-3 is the equation represents the number of multiple-choice questions on a final exam is 3 less than 4 times the number of essay questions.

Two or more expressions with an Equal sign is called as Equation.

Let the multiple questions be denoted by m.

The essay questions be denoted by e.

The given sentence is the number of multiple-choice questions on a final exam is 3 less than 4 times the number of essay questions.

In the sentence there is less than which means a value is subtracted and it has times which is meant by product.

m =4e-3 is the required equation of the given sentence.

Hence, m =4e-3 is the equation represents the situation.

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Evaluating each expression with x = -2 and y = 3 gives

3x²y - x = 38

3y - x = 11

x² - y = 7

x + 2xy = 14

4y - 2xy + 2y = 33

2x - y = -7

6 -x =  8

3x - 2y = -12

3x - 2y + xy = -18

The expressions are evaluated by substituting the values of x and y into the equations and solve

solving the expressions

3x²y - x

substituting x = -2 and y = 3

= 3(-2)² * 3 - (-2)  

= 38

3y - x =

substituting x = -2 and y = 3

= 3 * 3 - (-2)

= 11

x² + y

substituting x = -2 and y = 3

= (-2)² + 3

= 7

x + 2xy

substituting x = -2 and y = 3

= -2 + 2 * -2 * 3

= -14

4y - 2xy + 3y

7y - 2xy

substituting x = -2 and y = 3

= 7 * 3 - 2 * -2 * 3

= 21 - (-12)

= 33

2x - y =

substituting  x = -2 and y = 3

= 2 * -2 - 3

= -7

6 - x

substituting  x = -2

= 6 - (-2)

= 8

3x - 2y

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3

= -6 - 6

= -12

3x - 2y + xy

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3 + -2 * 3

= -6 - 6 + (-6)

= -18

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There are 320 engines must be made to minimize the unit cost.

Expression in math's is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Now,

Since, The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Hence, We get;

⇒ dC/dx = 0.6x - 192

Put dC/dx = 0

⇒ 0 = 0.6x - 192

⇒ 0.6x = 192

⇒ x = 320

And, d²C/dx² = - 192 < 0

Hence, This gives the maximum value.

So, The number of engines which must be made to minimize the unit cost = 320

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The value of side MN is 18.2

What is a Trapezoid?

A quadrilateral is a polygon with four sides.

There are many special types of quadrilateral.

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

Given data ,

Let the side to be calculated be = MN

Now , the two quadrilaterals are GHIJ and KLMN

And , quadrilaterals GHIJ and KLMN are congruent

So ,

The sides are in the ratio

MN / IJ = NK / JG

On simplifying the equation , we get

Substituting the values in the equation , we get

MN / 47 = 12 / 31

Multiply by 47 on both sides of the equation , we get

MN = ( 12 x 47 ) / 31

On simplifying the equation , we get the value of side MN

MN = 564 / 31

MN = 18.19

On rounding to the nearest tenth , we get

MN = 18.2

Therefore , the value of side MN is 18.2

Hence , The value of side MN is 18.2

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Answer:

∠ 2 = 66°

Step-by-step explanation:

∠ 1 and ∠ 2 are same- side interior angles and sum to 180° , then

∠ 2 + 114° = 180° ( subtract 114° from both sides )

∠ 2 = 66°

Answer:

y = - 0.5x + 8

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\frac{7-4}{2-8}[/tex]

[tex]\frac{3}{-6}[/tex]

[tex]-\frac{1}{2}[/tex]

m = - 1/2

y = - 1/2x + b

4 = - 0.5(8) + b

4 = - 4 + b

b = 8

y = - 0.5x + 8

a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).

b) The sampling error at 95% confidence level is of: $35.78.

The bounds of the confidence interval are given as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]\overline{x} = 800, \mu = 200, n = 55, z = 1.96[/tex]

Hence the lower bound of the interval is of:

800 - 200 x 1.96/square root of 55  = 747.

The upper bound of the interval is of:

800 + 200 x 1.96/square root of 55  = 853.

The sampling error for a sample size of 120 is calculated as follows:

200 x 1.96/square root of 120 = $35.78.

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On solving the provided question, we can say that the probability that a 2 or 5 is NOT rolled is - 1- 1/3 = 2/3

A branch of mathematics called probability describes the likelihood that an event will occur or that a proposition is true. The probability of an event ranges from 1 to 1, with 1 indicating certainty and numbers in between indicating the difficulty of the event.

to determine the likelihood of rolling a die with a 2 or a 5 on it. The probability formula can be used to do this.

[tex]P(E) = (Number of times event occurs)/(Total number of trials)[/tex]

S = 1, 2, 3, 4, 5, 6 is a sample space of potential results when rolling a dice.

If the likelihood of rolling a die and having a result of 2 or 5 is event E.

Number of occurrences [n(E)] = 2

[n(S)] = 6 trials in all

[tex]P(E) = 2/6 = \frac{1}{3}[/tex]

So, the probability that a 2 or 5 is NOT rolled is - \

1- 1/3 = 2/3

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Answer:

The answer is 8a + 4s = $320

Step-by-step explanation:

Let us take a for adult tickets and s for student ticket we get,

8a and 4s

They collect $320 in total

8a + 4s = $320

Thus, The equation represents this relationship is 8a + 4s = $320

The solution is

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is given by the equation

Let the number of sales be = x

Let the total earnings be = y

Now , let the two points on the graph be A and B

where the value of A = A ( 3 , 200 )

And , the value of B = B ( 5 , 300 )

Now , the slope of the line between the points A and B is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 300 - 200 ) / ( 5 - 3 )

Slope m = 100 / 2

Slope m = 50

So , the slope of the line is given by m = 50 earnings per sales

And , Slope m = $ 50 per sales

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 200 = 50 ( x - 3 )

y - 200 = 50x - 150

Adding 200 on both sides of the equation , we get

y = 50x + 50

Therefore , the equation of line is y = 50x + 50

Hence ,

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

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