Please help my little sis!

The product of two whole numbers is 14391 and their difference is 6. What are the two numbers?

Answers

Answer 1
I would put this in an algebraic equation:
First whole number is x
Second whole number is x + 6
So try and solve x(x+6)=14391

My next step, after I put this down would be to rearrange it into a solvable quadratic

X^2 + 6X - 14391 = 0

Using the quadratic formula (below)

Please Help My Little Sis!The Product Of Two Whole Numbers Is 14391 And Their Difference Is 6. What Are
Answer 2

Answer:

117 and 123.

Step-by-step explanation:

If the 2 numbers are x and y we have the system of equations:

x - y = 6

xy = 14391

From the first equation y = X - 6  so substituting:

x(x - 6) = 14391

x^2 - 6x= 14391

x^2 - 6x - 14391 = 0

The prime factors of -13491  are -3*3*3*13*41

Now  3*3*13 = 117 and -3 * 41 = -123,

so the factors are:

(x - 123)(x + 117) = 0.

x = 123, -117.

As x is a whole number we take the positive value 123.

So x = 123  and y = 123 - 6 = 117.


Related Questions

a needle palm tree at the park is growing an average of 4.35 cm per day. A cabbage palm tree next to it is growing an avrege of 1.26 in per day. which? one is growing faster?

Answers

Answer:

The needle palm tree is growing faster.

Step-by-step explanation:

The rate of growth of needle palm tree = 4.35 cm / day

The rate of growth of cabbage palm tree = 1.26 cm /day

From the given data we can clearly see ,

                 4.35  > 1.26

So the needle palm tree is growing faster.

PLEASE ANSWER

What is the slope of the graph?

Answers

(4-(-1)) / ( 3 - 0) = 5/3

Answer:

The slope is 5/3

Step-by-step explanation:

In order to find the slope from a graph, you have to use the method called "rise over run". You do this by looking at the point (0,-1). and going up on the y axis and counting until its on the SAME y axis for the next point which is at (3,4). If you count from -1 to 4, you'll get 5, which is the rise number. Next you have to solve the "run" number. Now that we already have our rise number start from (0,4) and count how many ticks/counts it takes to move the x axis to the point (3,4). It takes 3 counts. Since it's called rise/run. You put 5 at the top, and 3 at the bottom.

[tex]\frac{5}{3}[/tex]

Hope this helps :)

The perimeter of parallelogram ABCD is 30 cm. AD is 3cm more than twice AB FIND THE LENGTH OF AB

Answers

Answer:

4 cm

Step-by-step explanation:

Perimeter of a parallelogram is 2b+2h=30 where b is base and h is height.

if AD is 3cm more than twice AB, then it's 3+2x where x is length of AB.

Input this into the perimeter equation: 2(3+2x)+2(x)=30

Simplify to get 6+6x=30

x=24/6=4

Answer is 4 cm.

Final answer:

The length of AB in the parallelogram is 4 cm after solving the algebraic equation for the given perimeter.

Explanation:

The student is asking us to find the length of AB in a parallelogram ABCD where the perimeter is given as 30 cm, and side AD is 3 cm more than twice the length of AB. We can use algebra to determine the length of AB in a few steps.

Let's denote AB as 'x'. Since opposite sides of a parallelogram are equal, AD and BC will equal '2x + 3' while CD will also equal 'x'. The formula for the perimeter (P) of a parallelogram is P = 2(AB + BC), so substituting our known values and solving for 'x' will give us the length of AB.

Putting it all together:

P = 2(AB + BC)30 cm = 2(x + 2x + 3)30 cm = 2(3x + 3)30 cm = 6x + 630 cm - 6 = 6x24 cm = 6xx = 4 cm

Therefore, the length of AB is 4 cm.

decimal and integers are both classified as ______ numbers

Answers

Answer:whole numbers

Step-by-step explanation:

Opposite numbers because it doesn’t division from both equations

What is 1/9 (2m - 16) = 1/3 (2m +4)

Answers

Answer:

-7

Step-by-step explanation:

Hope it helped!

What is the diameter of a cylinder that has a volume of 237 cubic units and a height of 3 units? Show your calculations.

Answers

Answer:

The Diameter  of the cylinder is  10.29 units

Step-by-step explanation:

Given:

Volume  of the Cylinder =  237 cubic units

Height of the Cylinder =  3 units

To Find :

Diameter = ?

Solution:

The Volume of the cylinder = [tex]\pi r^2 h[/tex]

where

r is the radius

h is the height

On substituting the values

[tex]237 = \pi (r)^2 (3)[/tex]

[tex]\frac{237}{ 3 \pi} = r^2[/tex]

[tex]\frac{79}{\pi} = r^2[/tex]

[tex]25.146 = r^2[/tex]

r = 5.014 units

Noe the diameter is  =  2r = 2( 5.014) =  10.29 units

Solve 13 + x> 11. Enter your answer as an inequality.
HINT

Answers

Answer:

x>-2

Step-by-step explanation:

13+x>11

x>11-13

x>-2

if f(x)=2x-5 and g(x)=x^2+1, what is g(f(x))

Answers

Answer:

4x² - 20x + 26

Step-by-step explanation:

To evaluate g(f(x)), substitute x = f(x) into g(x), that is

g(2x - 5 )

= (2x - 5)² + 1 ← expand factor using FOIL

= 4x² - 20x + 25 + 1

= 4x² - 20x + 26

What is y=x-4 and y=4x-10

Answers

Answer:

x=2, y=-2. (2, -2).

Step-by-step explanation:

y=x-4

y=4x-10

x-4=4x-10

x-4x-4=-10

-3x-4=-10

-3x=-10+4

-3x=-6

3x=6

x=6/3

x=2

y=2-4=-2

The length of a rectangle is six more than triple the width. If the perimeter is 156 inches, find the dimensions.

The width is
inches.

The length is
inches.

Answers

Answer:

lenght= 60 inches

width = 18 inches

Step-by-step explanation:

parameter = 2(L+B)

let lenght be x

width be y

so

x = 3y+6

let's put this in formula

156 = 2( x+y )

156 = 2( 3y+6 + y )

156 = 2 ( 4y + 6 )

156/2 = 4y + 6

78 = 4y + 6

4y = 78-6

4y = 72

y = 72/4

y = 18

so width is 18 inches

and lenght is 3*18+6 = 60 inches

Final answer:

The width of the rectangle is 18 inches, and the length is 54 inches.

Explanation:

Let's denote the width of the rectangle as 'w'. According to the problem, the length of the rectangle can be expressed as 3w + 6. The problem also states that the perimeter of the rectangle is 156 inches. Remember that the formula for the perimeter of a rectangle is 2(length + width). Given that the length is expressed as 3w + 6 and the width as w, we can plug these values into the perimeter formula: 2(3w + 6 + w) = 156. Simplifying, we get 8w + 12 = 156. Isolating w, we have w = 18 inches. We also need to find the length, which is  3w + 6 = 54 inches. This gives us a width of 18 inches and a length of 54 inches.

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Translate to an algebraic expression the sum of a and 8

Answers

Answer:

umm give me more examples

Step-by-step explanation:

Answer:

x=8+a

Step-by-step explanation:

sum of a and 8

x=a+8

when they say the sum of you add an equal sign

and when they said of a and 8 it means that whatever the sum is its equal to a+8

since the sum wasn't mentioned the sum will be known as a variable

lets put x as the variable

Which is greater 2.6 or 4.07

Answers

Answer:

4.07 is greater

Answer:

4.07

Step-by-step explanation:

A school is designing two rectangular parking lots. The second parking lot is being designed so that its perimeter is 3/4 of perimeter of the first parking lot. Determine the Perimeter of the second parking lot.

Answers

The perimeter of second plot is 180 feet

Solution:

Given that,

The second parking lot is being designed so that its perimeter is 3/4 of perimeter of the first parking lot

Find the perimeter of first plot:

Perimeter = 2(length + width)

From given figure in question,

length = 40 feet

width = 80 feet

Therefore,

Perimeter = 2(40 + 80)

Perimeter = 2(120) = 240

Thus, we got,

Perimeter of first parking plot = 240 feet

Also, given that,

[tex]\text{Perimeter of second plot }= \frac{3}{4} \times \text{Perimeter of first parking plot}\\\\\text{Perimeter of second plot }= \frac{3}{4} \times 240\\\\\text{Perimeter of second plot }= 180[/tex]

Thus perimeter of second plot is 180 feet

Final answer:

To find the perimeter of the second parking lot, you multiply the perimeter of the first parking lot by 3/4. For example, if the first parking lot has a perimeter of 100 meters, the second would be 75 meters.

Explanation:

The problem revolves around the concept of perimeter, specifically of a rectangle. The perimeter of a rectangle is given by the formula 2*(length + width). Now, according to the question, the perimeter of the second parking lot is three-quarters (3/4) that of the first. So, if we denote the perimeter of the first parking lot as 'P', then the perimeter of the second parking lot would be (3/4)*P.

For instance, if the perimeter of the first parking lot is 100 meters, then the perimeter of the second parking lot would be (3/4)*100 = 75 meters. Hence, the second parking lot's perimeter is determined by the first parking lot's perimeter, reduced by a quarter.

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Find the tenth term in the sequence: 12, 10, 8, ...

Answers

Answer:

-6

Step-by-step explanation:

12, 10, 8, 6, 4, 2, 0, -2, -4, -6

Subtracting two each time

Answer:

-6

Step-by-step explanation:

It subtracts 2 each time in the sequence.

The first term is 12.

You subtract 2 ten times to get to the tenth number in this sequence. 10*2 = 20. 12-20 = -6

How do you do the last question using the quadratic formula?

Answers

Answer:

[tex]x = -1[/tex]

Step-by-step explanation:

To do the last question using the quadratic formula, you first need the equation in standard form.

ax² + bx + c = 0.

To convert 2(x - 2)(x + 1) = x² - 4x - 5 into standard form, simplify by expanding and collecting like terms. Then, have the equation equate to "0" by moving everything to one side.

2(x - 2)(x + 1) = x² - 4x - 5        Expand brackets first using FOIL

2(x² + x - 2x - 2) = x² - 4x - 5        Collect like terms in brackets (x - 2x = -x)

2(x² - x - 2) = x² - 4x - 5        Distribute, multiply bracket numbers by "2"

2x² - 2x - 4 = x² - 4x - 5        Now make the equation equal 0

2x² - 2x - 4 - x² = x² - 4x - 5 - x²        Subtract x² from both sides

x² - 2x - 4 = -4x - 5        "x²" eliminated from the right side. Simplify left side.

x² - 2x - 4 + 4x = -4x - 5 + 4x        Add 4x to both sides.

x² + 2x - 4 = -5        "4x" eliminated from right side. Simplify left side.

x² + 2x - 4 + 5 = -5 + 5        Add 5 to both sides to eliminate it on the right.

x² + 2x + 1 = 0               Simplified left side.

This is now in standard form. State the "a", "b" and "c" values based on the standard form variables.

a = 1; b = 2; c = 1

Substitute into the quadratic formula

[tex]x = \frac{-b±\sqrt{b^{2}-4ac} }{2a}[/tex]      (Please ignore the Â, it's a formatting error)

[tex]x = \frac{-2±\sqrt{2^{2}-4(1)(1)} }{2(1)}[/tex]   Simplify the square root

[tex]x = \frac{-2±\sqrt{0} }{2}[/tex]     The square root of 0 is 0.

[tex]x = \frac{-2}{2}[/tex]      The numerator can only be -2. Simplify the fraction

[tex]x = -1[/tex]         Only one answer for "x".

Whenever the square root equals "0", there will only be one answer for "x".

Please help me asap i will mark branlist please explain

Answers

Answer:

I think it's B. (-1,3)

Step-by-step explanation:

The solution is the point the two lines intersect each other.

The answer is (-1,3)

#12 wire is 80.81 mils. What is the diameter in inches? Round your answer to five decimal places.

Answers

The diameter of the #12 wire is approximately 0.08081 inches.

Calculating the diameter involves converting the measurement in mils to inches, since an inch is 1000 mils. Once we have the diameter in inches, we can round the answer to five decimal places, as instructed.

So, after performing the necessary calculations, the diameter of the #12 wire with a measurement of 80.81 mils is approximately 0.08081 inches.

A mil is a unit equal to one thousandth of an inch (0.001 inch). To convert mils to inches, we divide the mil measurement by 1000. So, 80.81 mils is equal to

80.81 / 1000 = 0.08081 inches.

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Final answer:

The diameter of the #12 wire in inches is 0.08081 inches, after converting 80.81 mils using the mil to inch conversion factor. The resistance of a wire changes with its gauge; a wire of one gauge number lower would have about 20% less resistance compared to the next higher gauge for the same length.

Explanation:

To convert the diameter of a #12 wire from mils to inches, you need to understand that one mil is equivalent to 0.001 inches. The stated diameter of the #12 wire is 80.81 mils.

By multiplying the value in mils by the conversion factor, we can find the diameter in inches:

80.81 mils × 0.001 inches/mil = 0.08081 inches.

Therefore, the diameter of #12 wire in inches is 0.08081 inches, rounded to five decimal places.

Discussing the resistance and resistivity of copper wire, it's known that resistance is proportional to the length of the wire and inversely proportional to the cross-sectional area.

Gauge sizes have a standardized series of diameters which differ by about 20% from one gauge to the next, which means that a wire with one gauge number lower (higher in diameter) would have approximately 20% less resistance than one of the next higher gauge (smaller in diameter) for the same length of wire.

Multiply simplest form

Answers

Answer:

4 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

2 [tex]\frac{1}{5}[/tex] × 2 [tex]\frac{2}{9}[/tex]

[tex]\frac{11}{5}[/tex] × [tex]\frac{20}{9}[/tex] = [tex]\frac{220}{45}[/tex] = 4 [tex]\frac{8}{9}[/tex]

4 19/45 I think is the answer

Tanya needs to earn another $100 to buy a new cell phone . She works 5 days this week. How much money will she have to earn each day in order to be able to buy the phone?​

Answers

100$/5 days
100 divided by 5 is equal to 20
She’ll need to earn at least 20$ per day.

Helpppp pleaseeeeeeeeeeeeeee

Answers

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

                     [tex]Area=5000\sqrt{3}units^2[/tex]

Lower triangle:

                     [tex]Area=14,530m^2[/tex]

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

           [tex]Area=side_1\times side_2\times sin(\alpha)[/tex]

Where, [tex]\alpha[/tex] is the measure of the included angle.

1. Upper triangle:

          [tex]side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2[/tex]

2. Lower triangle:

         [tex]side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2[/tex]

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

            [tex]Area=(1/2)\times base\times height[/tex]

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

                    [tex]sine(\alpha)=opposite\text{ }leg/hypotenuse[/tex]

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

         [tex]sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units[/tex]

[tex]Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2[/tex]

3. Lower triangle:

         [tex]sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2[/tex]

[tex]Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2[/tex]

A line passes through point (3,7)and has a slope of3/4

Answers

Answer:

look at picture shown.

You were looking at a map with a scale 1inch =40 miles if two towns are separated on the map by 6 inches what is the actual distance between them

Answers

Answer:

240 miles

Step-by-step explanation:

Final answer:

The actual distance between two towns, which are separated by 6 inches on a map with a scale of 1 inch to 40 miles, is 240 miles.

Explanation:

The subject of this question is Mathematics, specifically focusing on understanding how map scales work. In this case, the map scale is 1 inch equals 40 miles. This means, for every inch on the map, it represents 40 miles in actual distance.

To find out the real distance between two towns that are separated by 6 inches on the map, you multiply the map scale distance (40 miles) by the number of inches (6).

Which is, 6 inches x 40 miles = 240 miles.

So, the actual distance between the two towns is 240 miles.

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At a gas station a car wash costs $6.50 and gas is $2.75 a gallon. Enter the greatest number or gallons of gas you can purchase in addition to a car wash and not spend more than $23.00

Answers

Answer:

6 gallons

Step-by-step explanation:

23.00-6.50=16.50

16.50/2.75=6

a teacher uses 36 centimeters of tape to hang up 9student projects. At this rate, how much tape would the teacher need to hang up 10 student projects?

Answers

9x = 36
x = 36 / 9
x = 4
10x = 40
40cm of tape


25. CHARITY In the first hour of a charity auction, $4800 was raised. This was at most
$1200 more than was raised in the second hour of the auction. Write an inequality that
represents the amount raised in the second hour.

Answers

Answer:

6000

Step-by-step explanation:

if you do 200+800=1000 and the if you do 4000+1000=5000+1000=6000

Final answer:

The inequality that represents the amount raised in the second hour of the charity auction is x ≤ 6000.

Explanation:

To represent the amount raised in the second hour of the charity auction, let's use the variable x. According to the information given, the amount raised in the first hour is $4800, which is at most $1200 more than the amount raised in the second hour. This can be represented as the inequality:



x ≤ 4800 + 1200



Simplifying the inequality, we have:



x ≤ 6000



Therefore, the inequality that represents the amount raised in the second hour is x ≤ 6000.

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Decide whether 3(x-2)+5 and 3x+1 are equivalent expressions. explain how you know.

Answers

Answer:

Not equivalent

Step-by-step explanation:

Let,

3(x-2) + 5 = 3x + 1

By Multiplying

3x - 6 + 5 = 3x + 1

3x - 1 = 3x + 1

So, the expressions are not equal

how to solve math word problems​

Answers

Look for key terms in the word problem to figure out if it’s addition, multiplication, division, or subtraction and then use the numbers to figure it out

Answer:

You have to know how to interperet a problem

Step-by-step explanation:

god gave you a brain use it

Chas builds a circular pen for his dog. The radius
of the pen is 9 feet. How much fencing did Chas
use for the pen?
A 28.26 feet
C 63.585 feet
B 56.52 feet
D 254.34 feet
Do you need to
the circumfere
or the area of
circle?
Skye chose A as the correct answer. How did she get that answer?

Answers

Answer:

when ever they say fencing it is perimeter i will send rhe rest later

she did 2×pie (3.14 according to the question )×radius (9)

Answer:

The correct answer is 56.52 feet

Step-by-step explanation:

(I know the question is supposed to be about how skye got the answer but if you wanted to know the real answer im here for you).

tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minutes. tom can do 3 envelopes per minutes . how long would it take them if they work together ?

Answers

Answer:

5

Step-by-step explanation:

The time taken to stuff and seal 63 envelopes by both Tom and Jerry will be 6 minutes.

Given the Parameters :

Jerry's rate = 15/2 = 7.5 envelopes per minute Tom's rate = 3 envelopes per minute

Combined rate :

Jerry's rate + Tom's rate 7.5 + 3 = 10.5 envelopes per minute

Time taken if they work together :

Total number of envelopes = 63 Total time taken = total number envelopes ÷ combined rate Total time taken = (63 ÷ 10.5) = 6 minutes

Therefore, the time taken of they both worked together will be 6 minutes

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What is a of n equal to?
What is the 10tn term in the sequence?

Answers

Answer:

nth term, [tex]T_n=1(2)^n^-^1[/tex]

10th term, [tex]T_1_0=512[/tex]

Step-by-step explanation:

From the question;

We are given the first term, [tex]a_1=1[/tex]The common ratio, r = 2

We are required to write the formula of getting nth term and find the 10th term of the sequence;

We need to know that for nth term in a geometric sequence, we use the formula;

[tex]T_n=a_1r^n^-^1[/tex]

Therefore, in this case;

nth term will be given by;

[tex]T_n=1(2)^n^-^1[/tex], where n is the term in the sequence;

Therefore;

To get the 10th term of the sequence;

[tex]T_1_0=1(2)^1^0^-^1[/tex]

[tex]T_1_0=1(2)^9[/tex]

[tex]T_1_0=512[/tex]

Therefore, the tenth term of the sequence is 512

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