Please help. Due today.

Answer:

remainder = 290

Step-by-step explanation:

[tex]\frac{3x^3-4x^2+2x+8}{x-5}[/tex]

= 3x² + 11x + 57 + [tex]\frac{290}{x-5}[/tex]

quotient = 3x² + 11x + 57 and remainder = 290

Answer: 4 km/hr and 6 km/hr

Step-by-step explanation:

A runner = 4km/hr

A runner covered distance after 3 hours = 12 km

B runner = 6km/hr

B runnet covered distance after 3 hours = 18 km

Total distance = 12 + 18 = 30km

[ Answer ]

2 / 3

[ Explanation ]

1 * 8 / 4 * 3

8 / 12

Simplify:

2 / 3

<> Arsenal <>

To find the average speed of the plane, divide the total distance traveled, which is 3,360 miles, by the total time of the journey, which is 6 hours, resulting in an average speed of 560 miles per hour.

The student's question involves calculating average speed, which is a concept in Physics, specifically within the topic of kinematics. To find the average speed of the plane you would use the formula:

average speed = total distance / total time

In this case, the plane travels 3,360 miles in 6 hours, so the calculation would be:

average speed = 3,360 miles / 6 hours = 560 miles/hour

This calculation demonstrates how to determine the average speed of an object in motion when given the total distance traveled and the total time taken. This concept is analogous to determining the average speed in other examples, such as a car journey or a train trip.

Answer:

Answer:

Step-by-step explanation:

Given that a storage rack has dimensions as 25x12x5 ft.

Box has dimensions as 15x8x10 inches

Volume of each box = 15(8)(10) = 1200 inches = 1200x12^(-3) feet^3

Volume of 5000 boxes = 5000 (1200x12^(-3) ) = 3472.22 cubic feet

Volume of storage rack = 25(12)(5) = 1500 cubic feet

Volume of 25 storage racks 1500(25) = 37500 cubic feet.

SInce storage racks have sufficient volume it is concluded that enough storage is there.

Answer:

Yes, we have enough storage space.

Step-by-step explanation:

25 storage racks that are:

Length: Lsr = 25 ft = 25 ft (12 in / 1 ft) → Lsr = 300 in

Width: Wsr = 3 ft = 3 ft (12 in / 1 ft) → Wsr = 36 in

Height: Hsr = 12 ft = 12 ft (12 in / 1 ft) → Hsr = 144 in

5000 boxes 15x8x10 in

Length: Lb = 15 in

Width: Wb = 8 in

Height: Hb = 10 in

In the length of each storage rack we can put:

Nl=Lsr/Lb=300 in / 15 in → Nl = 20

In the width of each storage rack we can put:

Nw=Wsr/Wb=36 in / 8 in = 4.5 → Nw = 4

In the height of each storage rack we can put:

Nh=Hsr/Hb=144 in / 10 in = 14.4 → Nh = 14

Then we can put in each storage rack:

N = Nl Nw Nh = (20)(4)(14) → N=1,120 boxes

And we have 25 storage racks, then we can storage in total:

Nt=25N=25(1,120)→Nt=28,000 boxes

And we have 5,000 boxes, then we have enough storage space

Answer:

400 divided by 5 is how you get the answer.

Step-by-step explanation:

400 / 5 = 80

80 batches of soup.

Answer:

No. It used  1 gallon in 18.41 miles.

Step-by-step explanation:

He travelled 2834 - 2529 = 305 miles.

So his consumption is  305 / 75.2 = 4.056 miles/litre.

This equals 4.056*4.54 = 18.41 miles / gallon.

So this is less than the 1 gallon  every 20 miles stated by the handbook.

Answer: His limo used 1 gallon fuel for 18.4136 miles.

Step-by-step explanation:

Fayez covered distance:

2834 - 2529 = 305 miles.

He used fuel = 75.2 litres

75.2/4.54 = 16.5638 gallons petrol used.

His limo covered distance / total petrol used = 305 miles / 16.5638 gallons petrol = 18.4136 miles per gallon.

That is less than 20 miles per gallon

Answer:

(x - 2)*(x - 1) is the answer

Step-by-step explanation:

We have to divide the polynomial f(x) = x^{3}-8x^{2}+17x-10 by (x-5).

Now, after dividing f(x) gets simplified into (x-5)*(x^{2}-3x+2).

So, we need to factorize the quadratic equation x^{2}-3x+2.

i.e. x^{2} - 3x + 2 = x^{2} - x - 2x + 2 = x(x-1) - 2(x-1) = (x - 2)*(x - 1)

Therefore, f(x) again gets simplified into (x-5)*(x - 2)*(x - 1)

Now eliminating the common factor (x-5).

We get, [tex]\frac{x^{3}-8x^{2}+17x-10}{x-5}[/tex] = (x - 2)*(x - 1)

Answer:

[tex]x^{2}-3x+2[/tex]

Step-by-step explanation:

Use synthetic division.

5 |  1    -8    17    -10

   +     5    -15    10

      1   -3     2     0

The quotient is [tex]x^{2} -3x+2[/tex].

Answer:

5 pounds

Step-by-step explanation:

:'>

Answer:

She bought 5 pounds of coffee.

Step-by-step explanation:

Answer:

should be about 86

Step-by-step explanation:

multiply 11 by seven and then add nine because thats what you had originally.

we multiply because in those seven minutes we're constantly adding more pencils so instead of adding, multiplication is the easiest to do

9+(7x11)

You would vertically shift the function up a unit, making it clear that the answer should be graph 3.

Use the image below, red is the original function, and blue is the new function.  

Answer:

X = apple

y = orange

4x + 4y = 10

6x + 6y = 12

Step-by-step explanation:

Answer:

4a+4r = 10

6a + 6r = 12

No solutions

Step-by-step explanation:

a = cost of the apple

r = cost of the orange

4a+4r = 10

6a + 6r = 12

Divide the first  equation by 2 and the second equation by 6

2a+2r = 5

a +r = 2

Multiply the second equation by -2 so we can eliminate a

-2a -2r = -4

Add the first equation

2a+2r = 5

-2a -2r = -4

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

0 = 1

This system is inconsistent and has no solutions

Answer:

(x, y) = (4, 5)

Step-by-step explanation:

given the 2 equations

x = 2y - 6 → (1)

y = - 3x + 17 → (2)

Either substitute x = 2y - 6 into (2) or y = - 3x + 17 into (1)

substituting y = - 3x + 17 into (1)

x = 2(- 3x + 17) - 6

x = - 6x + 34 - 6

x = - 6x + 28 ( add 6x to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

substitute x = 4 into (2)

y = - 12 + 17 = 5

solution is (4, 5 )

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{1})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-1=3(x-3) \\\\\\ y-1=3x-9\implies y=3x-8[/tex]

Answer:

[tex]y=250(5)^x[/tex]

Step-by-step explanation:

The growth of a population of bacteria can be represented by exponential growth function,

[tex]y=a(1+r)^x[/tex]

where,

y = the population of the bacteria after x hours,

x = the number of hours,

a = initial population of bacteria,

r = rate of growth,

At the beginning the number bacteria was 250 and the population of bacteria quadruples every hour i.e rate of growth is 400% or 4 per hour.

Putting all the values,

[tex]y=250(1+4)^x[/tex]

[tex]\Rightarrow y=250(5)^x[/tex]

Answer:

6+2d

Step-by-step explanation:

An algebraic expression for 'six more than the quantity d times two' is written as 2d + 6, which represents the multiplication of d by two, followed by the addition of six.

To write an algebraic expression for "six more than the quantity d times two," you first perform the multiplication and then add six.

The quantity d times two is expressed as 2d. Then, to represent "six more" than this quantity, you add six to the product, which is written as [tex]2d + 6[/tex].

Answer:

x = -8.75; x = 7.25

Step-by-step explanation:

                                                         2(x + ¾)² - 5 = 123

The graph of your equation is a parabola with x-intercepts at x = -8.75

and x = 7.25.

The list of steps, in order, that will solve the equation is:

The given expression is raised to a power of 2, so we can say that the given expression is a quadratic equation.

A quadratic equation is a form of an algebraic expression in which the variable is usually raised to the power of its second degree.

From the parameters given:

[tex]\mathbf{2(x + \dfrac{3}{4})^2 -5 = 123 }[/tex]

[tex]\mathbf{2(x + \dfrac{3}{4})^2 -5 +5 = 123+5 }[/tex]

[tex]\mathbf{2(x + \dfrac{3}{4})^2 = 128}[/tex]

[tex]\mathbf{\dfrac{2(x + \dfrac{3}{4})^2 }{2} =\dfrac{ 128}{2}}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4})^2 = 64}[/tex]

[tex]\mathbf{\sqrt{(x + \dfrac{3}{4})^2} =\sqrt{ 64}}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4})} =\pm8}[/tex]

[tex]\mathbf{(x + \dfrac{3}{4} - \dfrac{3}{4}) }\mathbf{= \pm 8-\dfrac{3}{4}}[/tex]

[tex]\mathbf{x= \pm 8-\dfrac{3}{4}}[/tex]

[tex]\mathbf{x= +8-\dfrac{3}{4} \ \ OR \ \ x= -8-\dfrac{3}{4}} [/tex]

[tex]\mathbf{x=7.25 \ \ OR \ \ -8.75} [/tex]

Learn more about quadratic equations here:

https://brainly.com/question/17210919

Alicia runs 8 miles in 6 days. By setting up a proportion, it's calculated that it will take her 27 days to run 36 miles at the same rate.

Calculating Days Needed to Run a Total Distance:

Alicia runs 8 miles in 6 days. To find out how many days it will take her to run 36 miles, we can set up a proportion. Since the number of days is directly proportional to the miles run, we can use the equation:

8 miles / 6 days = 36 miles / x days

By cross-multiplying, we get:

8 miles * x days = 6 days * 36 miles

x = (6 days * 36 miles) / 8 miles

The miles cancel out, leaving us with:

x = 216 / 8

x = 27 days

Therefore, it will take Alicia 27 days to run a total of 36 miles if she continues running at the same rate.

Answer:

19 percent

Step-by-step explanation: First we need to convert them all the a similar format. Fractions would be easiest.

.22 = 22/100

1/5 = 20/100

19% = 19/ 100

The one that contains the least is 19/100 or 19%.

To determine the number of artists who showed only sculptures or paintings at the art fair, we use the formula for the principle of inclusion-exclusion, resulting in 61 artists.

To find out how many artists showed only sculptures or paintings at the art fair, we apply the principle of inclusion-exclusion. First, we add the number of artists who showed sculptures (25) to those who showed paintings (48), which gives us a total of 73 artists. However, this counts the 12 artists who showed both sculptures and paintings twice, so we subtract 12 from this total to correct for the double counting. Therefore, the number of artists who showed only sculptures or paintings is 73 - 12, which equals 61 artists.

The greatest number of sets of pens and pencils that can be made, using all of the given 28 pens and 80 pencils in each set, is 4. Each set would contain 7 pens and 20 pencils.

In the problem, we are looking to find the Greatest Common Divisor (GCD), which is the greatest number that can evenly divide both the number of pens (28) and the number of pencils (80). The GCD between 28 and 80 is 4.

Thus, the most sets of pens and pencils you can make would be equal to the GCD, which in this case is 4.

This means you can put together 4 sets with an equal number of pens and pencils in each set. In each of these sets, there would be 7 pens (28 pens ÷ 4 sets) and 20 pencils (80 pencils ÷ 4 sets).

https://brainly.com/question/32851476

#SPJ1

Final answer:

To maximize the number of sets with 28 pens and 80 pencils, find the greatest common divisor and divide the total by it. You can create 27 sets of 4 pens and 10 pencils each.

Explanation:

To find the greatest number of sets you can make with 28 pens and 80 pencils, you need to determine the highest common factor of the two quantities.

Calculate the greatest common divisor (GCD) of 28 and 80, which is 4.

Divide the total number of pens and pencils by the GCD: (28 + 80) ÷ 4 = 27.

You can make 27 sets, each consisting of 4 pens and 10 pencils.

Answer: -9

Step-by-step explanation: -91/6 ≈ -9.167

21/3 ≈ 2.33333

-17/8 ≈ -1.875

-9.167 + 2.3333 + -1.875 = -8.71

Rounded, the answer is -9.

Answer:

The slope is found by the change in Y over the change in x.

Using the given points:

The change in Y = -8 - 4 = -12

The change in x = 2 - -6 = 2 +6 = 8

The slope is -12/8

Both the numerator and denominator can be divided by 4

-12/4 = -3

8/4 = 2

The slope = -3/2

40% helping customers + 13% doing paper work = 53% of his time.

This means 100% - 53% = 47% of his time he is doing other tasks.