Describe in words a situation that can be represented by 7 ÷2or 7/2

The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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Answer:

112

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

The fuel efficiency for the speed of 60 mph is (d) 38.55 mpg

From the question, we have the following least-squares regression line equation that can be used in our computation:

ln(Fuel Efficiency) = 1.437 +0.541 In(Speed)

Also from the question, we have the following parameters:

Speed = 60 mph

This means that we substitute 60 mph for speed in the given equation

ln(Fuel Efficiency) = 1.437 + 0.541 In(Speed)

So, we have the following representation

ln(Fuel Efficiency) = 1.437 + 0.541 In(60)

Take the natural logarithm of 60

This gives

ln(Fuel Efficiency) = 1.437 + 0.541 * 4.09434456222

Evaluate the products

So, we have the following representation

ln(Fuel Efficiency) = 1.437 + 2.21504040816

Evaluate the sum

So, we have the following representation

ln(Fuel Efficiency) = 3.65204040816

Take the exponent of both sides

Fuel Efficiency = e^(3.65204040816)

Evaluate

Fuel Efficiency = 38.5532502162

Approximate

Fuel Efficiency = 38.55 mpg

Hence, the fuel efficiency  is (d) 38.55 mpg

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Answer:

35

Step-by-step explanation:

The area of the parallelogram will be equal to 28 units squared. Hence, option B is correct.

The phrase "parallelogram" is a translation of the Greek phrase "parallelogrammon," which means "bound by the contract by parallel lines." As a consequence, a quadrilateral that is bordered by parallel lines is called a parallelogram. It has parallel and equal opposite sides on all sides.

As per the data obtained from the given values,

Length of base (b) of parallelogram = 7

Length of height (h) of parallelogram = 4

Use the formula of area (A) of a parallelogram,

[tex]Area = Base*Height[/tex]

A = 7 × 4

A = 28 units squared.

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A quadratic equation's solutions can be found using the quadratic formula, which is option D.

Explanation:

2x^2 - 5x +5 = 0.

x = - 5 +-[tex]\sqrt{5[/tex].

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A quadratic equation's solutions can be found using the quadratic formula, which is option D.

Any quadratic problem can be resolved using the quadratic formula. First, we change the equation's form to ax2+bx+c=0, where a, b, and c are the coefficients. Then, we enter these coefficients into the formula: (-b(b2-4ac))/(2a). View examples of how to apply the formula to a range of equations.

If necessary, simplify the right side while writing the left side as a square. Create two linear equations by combining the positive and negative square roots of the right side with the square root of the left side. Each of the two linear equations must be resolved.

2x^2 - 5x +5 = 0.

x = - 5 [tex]\pm[/tex] √5

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Answer:

Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.

Step-by-step explanation:

Answer:

I can't see it that wel..?m

The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.

The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Given,

Discount = 25%

Selling price = $60

Original price = x

Original price

= Selling price/1 - discount

= 60/ 1 - 0.25

= 60/ 0.75

= 80

The original selling price is $80 if A store is selling an NBA jersey for $60 that has been discounted by 25%.

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the area between the curves y=[tex]x^{2}[/tex] and y=-3x is 9/2 sq units

By performing a definite integral between the two point, one may determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a & x = b. With the specified restrictions, integration may be used to compute this area.

The area between the curves y=[tex]x^{2}[/tex] and y=-3x

y=[tex]x^{2}[/tex] and y=-3x

firstly calculated the point of intersection. y = y

[tex]x^{2}[/tex]  = -3x

[tex]x^{2}[/tex]  + 3x = 0

x( x+ 3) = 0

x = 0 , x = -3

point of intersection is 0 , -3

Area = [tex]\int\limits _ {} \, x^{2} + 3xdx[/tex] from -3 to 0

Area  = [ [tex]x^{3}/3 + 3x^{2} /2[/tex] ] from -3 to 0

Area =   [ -27/3 + 27/2 ]

Area  = [ -9 + 27/2]

Area = [-18 + 27] / 2

Area = 9/2 sq units

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number of texts x price per text = total price

9 x price per text = 1.26

price per text = 1.26/9

price per text = $0.14

Hope this helps :)

-Jeron

If you need any more help on this just comment

Applying angle relationships, the value of x in each figure is determined as:

E. x = 8

F. x = 26

I. x = 9

J. x = 4

Using angle relationship based on the angles involved, create an equation in each case, to enable you find the value of x.

E. 27 + 8x - 1 = 90 [the angle relationship is that they are complimentary angles].

Solve for the value of x:

26 + 8x = 90

8x = 90 - 26

8x = 64

x = 8

F. 7x - 44 = 75 + 63 [vertical angles are congruent]

7x = 182

7x/7 = 182/7

x = 26

I. 180 - (5x - 3 + 13x + 4) = 17 [vertical angles are congruent]

180 - (18x + 1) = 17

180 - 18x - 1 = 17

179 - 18x = 17

-18x = 17 - 179

-18x = -162

x = 9

J. 3y + 10 = 5y - 24 [vertical angles are congruent]

Solve for y

3y - 5y = -10 - 24

-2y = -34

y = 17

Find the value of x:

3y + 10 + 9x + 1 + 82 = 180 [angles on a straight line equals 180 degrees]

3y + 9x + 93 = 180

Plug in the value of y

3(17) + 9x + 93 = 180

51 + 9x + 93 = 180

9x + 144 = 180

9x = 180 - 144

9x = 36

x = 4

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Answer:

To factor the expression 2/3x + 4, we first need to find the greatest common factor (GCF) of the coefficients of the terms in the expression. In this case, the GCF is 2/3, so we can write the expression as (2/3)(x + 12/2). This is the factored form of the expression, and it can be simplified to (1/3)(2x + 6).

Step-by-step explanation:

Answer:correct

Step-by-step explanation: If you distribute the 3 to 9 and 15 you will get this,

3x9 + 15x3

27 + 45

Answer:

Step-by-step explanation:

0.15625

The surface area of the composite figure is 186 cm².

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Composite figure.

Two boxes.

The surface area of a box.

= 2 x (length x width + length x height + width x height)

Now,

The box on the bottom.

length = 5 cm

Width = 5 cm

Height = 3 cm

Surface area = 2 x (25 + 15 + 15) = 2 x 55 = 110 cm²

The box on the top.

length = 2 cm

Width = 5 cm

Height = 4 cm

Surface area = 2 x (10 + 8 + 20) = 2 x 38 = 76 cm²

Now,

The surface area.

= 110 + 76

= 186 cm²

Thus,

The given composite figure surface area is 186 cm².

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Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

$92000 is the James’s current equity in the home.

Equity, also known as shareholders' equity or owners' equity for privately held businesses, is the sum of money that, in the event of a company's liquidation, would be distributed to its shareholders after all of the company's assets have been sold and its debt has been fully repaid.

In an acquisition scenario, it is equal to the sum of the company's sales less any liabilities that were not transferred to the new owner.

A company's book value can also be represented by shareholder equity. A payment-in-kind arrangement may occasionally include equity. Furthermore, it represents the proportionate ownership of a company's shares.

James’s current equity =  (180000 × 1.25) - ((180000 × 0.8) -11000)

                                       = 92000

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Answer:

40+32=342

Step-by-step explanation:

Using the commutative of addition change the position of 302 and 40 the expression is 40+302=342 [analysis]

The answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

PRobability formula: P(E) = favourable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:

2.) definition of vertical angles

3.)  the vertical angles theorem

4.) symmetric property of congruence

Answer: 1000 different flags

Step-by-step explanation:

So for the flag there are 10 color options and you need to have 3 different stripes. Where you are able to use a color more than once.

For the first stripe there are 10 options so it can be any of the 10 choices.

For the second option you are able to use any of the 10 colors again so it can be any of the 10 colors.

For the last option for stripe 3 you can pick from ay of the 10 colors so there are 10 color options is could be.

Now that you know the how many choices of color there can be for each stripe you multiple the color choice for each stripe by each other to get the number of combinations for different flags.

colors for stripe 1x  colors for stripe 2x colors for stripe 3= # of different flags

10x10x10=1000

so there can be 1000 different 3 stripe flags that can be made with 10 colors

The length of shorter leg is 15 inches, length of longer leg is 36 inches and the length of hypotenuse is 39 inches.

What is right triangle?

A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angle.

Let,

x = Longer leg of triangle

y = Shorter leg of triangle

h = Hypotenuse of triangle

Given: The length of the longer leg of a right triangle is 6inches more than twice the length of the shorter leg.

The length of the hypotenuse is 9inches more than twice the length of the shorter leg.

⇒  x = 6 + 2y

    h = 9 + 2y

The given triangle is a right angled triangle.

⇒                                 x^2 + y^2 = h^2

                          (6 + 2y)^2 + y^2 = (9 + 2y)^2

                36 + 24y + 4y^2 + y^2 = 81 + 36y + 4y^2

                          36 + 24y + 5y^2 = 81 + 36y + 4y^2

36 - 81 + 24y - 36y + 5y^2 - 4y^2 = 0

                             -45 - 12y + y^2 = 0

                               y^2 - 12y - 45 = 0

                       y^2 - 15y + 3y - 45 = 0

                        y(y - 15) + 3(y - 15) = 0

                                 (y - 15)(y + 3) = 0

y - 15 = 0,   y + 3 = 0

y = 15,     y = -3

Since the length is not negative.

So, y = 15

Hence,

Shorter leg = 15 inchs

Longer leg = 6 + 2y = 6 + 2(15) = 36 inches

Hypotenuse = 9 + 2y = 9 + 2(15) = 39 inches

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Answer:

see explanation

Step-by-step explanation:

1 rectangle could have the side lengths of 6 and 4

The other could have the side lengths of 8 and 3

(Hope this is what the question asked)

the breadth of the river is [tex]20\sqrt{3} m[/tex] or 34.614 m

as per given in the question ,

the length of the tower (l) = 20m

the angle of elevation of the top of the tower from the opposite bank

[tex]\theta[/tex] = [tex]30^{0}[/tex]

the breadth of the river should be found

let the breadth of the river be x,

to find breadth,

[tex]tan\theta=\frac{opposite\ side}{adjacent\ side}[/tex]                        ----(1)

the opposite side will be the length of the pole i.e, 20m

the adjacent side will be the breadth of the river i.e, x

now substitute all the values in equation (1)

[tex]tan\theta=\frac{20}{x}[/tex]

=> [tex]tan 30^0= \frac{20}{x}[/tex]             ( the value of [tex]tan30^0 =\frac{1}{\sqrt{3} }[/tex] )

=> [tex]\frac{1}{\sqrt{3} } =\frac{20}{x}[/tex]

=> [tex]x=20\sqrt{3}m[/tex]

so,  

     the breadth of the river is [tex]20\sqrt{3} m[/tex] or we can write 34.614m

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The equations that represent a line passing through the point (–2, 5) with a slope of 4 are:

Equation of the line of slope = 4 passing through point (-2, 5) is calculated using the point slope formula which is

(y - y') = m(x - x')

y' = 5

slope, m = 4

x' = -2

substituting the known variables and solving

(y - 5) = 4(x - ( -2 ) )

y -5 = 4( x + 2)

y - 5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

the equation of the line with a slope of 4 and passing through point (-2, 5) is  y = 4x + 13

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Answer:

20

Step-by-step explanation:

A parallelogram has 4 sides.

Each pair of opposite sides is congruent.

To find the perimeter, find the length of 2 adjacent sides and multiply by 2.

Length of side (0, 0) to (5, 0) is 5.

Length of side (5, 0) to (8, 4) is the hypotenuse of a right triangle with legs of lengths 3 and 4.

a² + b² = c²

3² + 4² = c²

c² = 9 + 16

c² = 25

c = √25

c = 5

The hypotenuse measures 5 units.

perimeter = 2(5 + 5)

perimeter = 2(10)

perimeter = 20

Answer:

Step-by-step explanation:

Probably "1+1=window" was discovered by some cheeky primary school student, and then it spread without attribution. We will never know for sure who originally came up with that.

The solution of the inequality –5 ≥ –1 + s will be less than or equal to negative 4.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

–5 ≥ –1 + s

Simplify the inequality, then the value of the variable 's' is given as,

–5 ≥ –1 + s

–5 + 1 ≥ s

s ≤ –4

The solution of the inequality –5 ≥ –1 + s will be less than or equal to negative 4.

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The points on the rhombus M(?, 0) and H(5, 0), and the location of the point O of the rhombus, indicates that the length of a side of a rhombus is 5 units from which Pythagorean Theorem indicates that the x-coordinate of the point M is 3

Pythagorean Theorem states that the sum of the squares of the legs of a right triangle is equivalent to the square of the length of the hypotenuse side of a right triangle.

The shape of the quadrilateral RHOM = A rhombus

The specified coordinates of the vertices of the rhombus are;

Point M = (?, 4)

Point H = (5, 0)

A rhombus is a parallelogram that have all four sides of the same length

The length of side OH, which is on the x-axis  = 5 - 0 = 5

Therefore, the length of OM = 5 (properties of a rhombus)

Let x represent the x-coordinate of the point M

According to Pythagorean Theorem, we get;

x² + 4² = 5²

Where x = The horizontal distance of the point M from the y-axis

x² = 5² - 4² = 9

x = √9 = 3

The x-coordinate of the point M, x = 3

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By evaluating a linear equation, we get that the amount she spent is $ 8.20 at the coffee shop.

What is linear equation explain?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept is called a "linear equation of two variables," where y and x are the variables.

Assuming x refills, the price is $ 2.95 for the initial cup and $ 1.50 for each additional cup.

     C(x) = $ 2.95 + $ 1.50 * x

We also know that she chose to purchase a bagel for $2.75 and that she received a $0.50 discount.

   By adding these we get

C(x) = $ 2.95 + $ 1.50 * x  + $ 2.75 = $ 0.50

C(x) = $5.20 + $ 1.50 * x

Now we want to find that she had 2 refills , then the total cost is

C(2) = $ 5.20 + $ 1.50 * 2

       = $ 8.20

Therefore, the total cost she spend at the coffee shop = $ 8.20

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