Two consecutive positive multiples of 8 have a product of 2,688. What is the difference of these numbers?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

Let one of the multiples of 8 be 8x and the second multiple of 8 be 8(x+1). Using x and x+1 ensure that the resulting multiples are one multiple apart, or consecutive. Next, recall that these two consecutive multiples of 8 have a product of 2,688. We can thus write the equation:

[tex]8x*8(x+1)=2,688[/tex].

To solve the equation, we must simplify and distribute. We can isolate the non-zero terms on one side the equation and solve the remaining quadratic equation for x:

[tex]64x(x+1)-2688\\64^2+64x-2688=0\\54(x^2+x-42)=0\\64(x+7)(x-6)=0[/tex]

This means that x=-7 or x=6. Using the positive result x=6 gives the multiples of 8×6 and 8(6+1) or 48 and 56. Subtract the two numbers ot find the difference is 56-48 or 8.


Related Questions

A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How many students went on the field trip?

Answers

Answer:

A maximum of 306

Step-by-step explanation:

You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306

51x6=306
Up to 306 students in a bus

Given two terms of the arithmetic sequence a3=25 and a8=-10 find a1 and d

Answers

Answer:

Sorry I don’t know

Step-by-step explanation:

a3=25

a8=-10

first, a3=25 will be 25= a + (3-1)×d that is the formula of the Arithimetic function genrally→ an=a (which is the first term..that we wanted in this case) + n-1 (n is the order of wanted term..we already has the term which is 3) × d (the common ration).

So, 25=a+(3-1)×d

25=a+2d

25-2d=a   rearrange

a= 25-2d

We will take this equation and subsitute it in the other equation which is -10=a+ (8-1)×d

so it will be -10=25-2d+(8-1)×d

-10= 25-2d+7d   sum the d

-10= 25+5d

-10-25= 5d

-35=5d

-35/5=d

-7= d

Now that we have the d we can go back to the equation of a= 25-2d and know the value of a

a= 25-2×-7

a1=39

d=-7

please help me solve this problem with step by step explanation.​

Answers

Answer:

Im not rally sure but maybe 5.71 , here is my explanation :

Step-by-step explanation:

Tan 55 =x/4

tan 55 = 1/42814

1/42814 = x /4

×=5.712592027 .

Help please i'll give you brainliest

Answers

the answer is C, hope this helps

Solve for x
-8+6(-x-3)+4x​

Answers

Answer:

-26 -2x

Step-by-step explanation:

-8+6(-x-3)+4x​

Distribute

-8 -6x -18 +4x

Combine like terms

-8-18  -6x+4x

-26 -2x

Answer:

x- intercept(s): (−13,0)

Step-by-step explanation:

What's the value of x
(3x-5) and (x+10)

Answers

3x-5+x+10+x=180 (property of a triangle (angles add up to 180°))
5x+5=180 (simplify)
5x=175 (subtraction property of equality)
x=35 (division property of equality)

Therefore, x is equal to 35.

If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).

Answers

Answer:

[tex]VYX=84.3in[/tex]

Step-by-step explanation:

Given

[tex]YV = 28in[/tex]

[tex]\angle WZX = 15^\circ[/tex]

See attachment

Required

Determine the length of [tex]VYX[/tex]

First, calculate the major angle VZX

[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]

[tex]\theta = \angle VZX = 360 - 15[/tex]

[tex]\theta = \angle VZX = 345[/tex]

[tex]\theta = 345[/tex]

The length of arc VYX, is:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

Where

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * YV[/tex]

[tex]r = \frac{1}{2} * 28[/tex]

[tex]r = 14[/tex]

So:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]

[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]

[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]

[tex]L=\frac{30360}{360}[/tex]

[tex]L=84.3in[/tex]

Hence, the length of VYX is:

[tex]VYX=84.3in[/tex]

Find the missing angle according to the Triangle Sum Theorem.

Answers

Answer:

k = 140 degrees.

The missing INTERIOR angle is 40 degrees.

Step-by-step explanation:

The missing interior angle would be 40.

Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.

64+76+40 = 180

The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.

Exterior angle k = 64+76

k= 140

help me i am gonna give points to the people give me correct answer

Answers

Answer:

lol

Step-by-step explanation:

Answer:

Arjan should look for other cards that add up to $$94%

Step-by-step explanation:

I don't know it but I guess this one, let me know if it help

HELP ASAP !!!!Tracey is saving each month for new tires for her car. She plans to save $60 each month. Which table shows the amount Tracey has saved over the last several months?

Answers

Can you show a picture of the table?

Answer:

theres no pic but im am 100% sure its 720

Step-by-step explanation

multiply  60 x 12 = 720 if  im wrong its not my fault there is no pic

Multiple three hundred and seventy by forty three​

Answers

Step-by-step explanation:

15910

hope it helps

thanks a lot

What is the equation of a line that passes through the points (3,6) and (8, 4)?
3
Oy= 22
o - -
o v x 27
0 - 22/x - 29
oy- - 2 x + 38

Answers

Answer:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.  

First, you should find the slope of the line.  To do this, use the equation M=y2-y1/x2-x1.  Using the two given points (3,6) and (8,4), you can solve for M.  

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept.  You can do this by subbing one of the given points in for x and y.  

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

Step-by-step explanation:

IF U DONT KNOW ANSWER THEN DONT ANSWER SIMPLE!
A hotel has a square lobby. Management wants to reserve a smaller square area in stone to serve as the base of a new seating area. The side length of the seating area will be four meters less than the side length of the lobby, as shown below. After purchasing materials, the manager noticed that two times the area of the seating area was equal to 16 square meters less than the area of the entire lobby. Write and solve a system of equations to determine the dimensions of the whole lobby and the smaller seating area cutout. A. The lobby is 8 meters by 8 meters, and the seating area is 4 meters by 4 meters. B. The lobby is 10 meters by 10 meters, and the seating area is 6 meters by 6 meters. C. The lobby is 12 meters by 12 meters, and the seating area is 8 meters by 8 meters. D. The lobby is 6 meters by 6 meters, and the seating area is 4 meters by 4 meters.

Answers

Answer:

C

Step-by-step explanation:

Use a graph to figure this out it will be as easy as eating a cake then

Hope this helps

a ladder is leaning up against a building. the bottom of the ladder is 6 feet from the building. the top of the ladder reaches the wall at a height of 8 feet. how long is the ladder?

Answers

The length of the ladder is [tex]x = \sqrt{100} =10 feet[/tex].

To find out the length of the ladder leaning against the building given the following conditions; bottom of the ladder is 6 feet from the building, and the top of the ladder reaches the wall at a height of 8 feet, the Pythagorean theorem can be utilized.

Therefore the length of the ladder is approximately 10 feet.

The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

This can be expressed as:

[tex]c^2=a^2+b^2[/tex]

where c is the hypotenuse (the longest side of the triangle)

a and b are the other two sides

Given, the distance from the bottom of the ladder to the wall is 6 feet and the height from the ground to the top of the ladder is 8 feet.

Let the length of the ladder be x

According to the Pythagorean theorem:

[tex]x^2 = 6^2 + 8^2 x^2[/tex]

[tex]x^2 = 36 + 64x^2[/tex]

[tex]x^2 = 100[/tex]

Therefore the length of the ladder is [tex]x = \sqrt{100}= 10 feet[/tex].

For such more questions on length

https://brainly.com/question/30582409

#SPJ8

All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90

Answers

Answer:

0.7(85+)-74.90

Step-by-step explanation:

Answer:

D - 0.7(85+)-74.90

Step-by-step explanation:

Got 100% on the quiz! Have a good day!! :)

(5x-6) = (2x+9)
7x=3

Answers

Answer:

5

Step-by-step explanation:

5x -6 = 2x +9

5x -2x = 9 +6

3x  = 15

x = 5

compare 1/3 and 2/5?

Answers

Answer:

2/5 is bigger

5/15 and 6/15 (comparison)

Answer:

1/3>2/5

Step-by-step explanation:

What is the median of this set of data?

362, 187, 211, 298, 331, 250, 347, 199

Answers

Answer:

274

Step-by-step explanation:

Hey There!

So if you didnt know the median is the middle number ( in value) of the set

So first we would like to arrange the numbers in order from least to greatest

187 , 199 , 211 , 250 , 298 , 331 , 347 , 362

Then we take the middle number(s)

if there is just one then that is the answer but if there is two than we add them together and divide that by 2

In this case there are two which would be 250 and 298

So we add them together

250+298=548

Then we just divide that by 2

[tex]\frac{548}{2} =274[/tex]

Therefore the median is 274

hope this helps :)

Step-by-step explanation:

l hope this answer is helpful to you

Which of the following situations describes a transformation of kinetic energy to potential energy?
OA a soccer player kicks a ball
OB
a roller coaster goes up an incline
C.
a light bulb is lit by a battery
OD
a marshmallow is toasted in a camp fire

Answers

Answer:

c

Step-by-step explanation:

*The rectangle has a perimeter of 38 meters.
*The length of the rectangle is 5 meters more
than the width.

What is the length and the width of the
rectangle?

Perimeter:
Length:

Answers

Answer:

Width of the rectangle = 7 meters

Length of the rectangle = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter of the rectangle = 38 meters

Width of the rectangle = w

Length of the rectangle = w + 5

Perimeter of a rectangle = 2(length + width)

38 = 2{(w + 5) + w}

38 = 2(w + 5 + w)

38 = 2(2w + 5)

38 = 4w + 10

38 - 10 = 4w

28 = 4w

w = 28/4

w = 7 meters

Width of the rectangle = w

= 7 meters

Length of the rectangle = w + 5

= 7 + 5

= 12 meters

12. Si R(x)=-5x2+x-2 y S(x)=-x - 3x, se
¿cuál es el resultado de R(x) + S(x) ?​

Answers

Answer:

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Step-by-step explanation:

Se dan las siguientes funciones

[tex]R(x) = -5x^2 + x - 2[/tex]

[tex]S(x) = -x^2 - 3x[/tex]

Cuál es el resultado de R(x) + S(x) ?​

Se soman los fatores en comun. Entonces:

[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?

Answers

Answer: 1,356

Step-by-step explanation:

It is 1200 increased by 13%

The high temperatures for a week are shown. 15°, 34°, 17°, 15°, 16°, 8° Which measure of center, mean or median, would BEST represent the data?

Answers

Hey there!

The mean would probably best represent the data.

This is because the mean of data is the average, which would show what the average temperature throughout the week was.

Have a super awesome day! :)


1) How many triangles will be formed by 13 matchsticks?
2) How many matchsticks will be needed to form 7 triangles?

Answers

1) 4 and one extra

2) 21

Find the arithmetic series a=2 d=5 n=20 find Sn

Answers

Step-by-step explanation:

Sn=n/2{2a+(n-1)d}

=10(4+95)

=10(99)

=990

Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?

Answers

Hence the answer is c 1.1 mph

Find the area of a trapezoid with:
Base 1: 8
Base 2: 5
Height: 8
Area =​

Answers

Answer:

52

Step-by-step explanation:

8+5=13

13x8=104

104/2=52 (divided)

Answer:

52

Step-by-step explanation:

I took the test

Tell whether c = 3 is a solution of c + 7 = 10.
a) Yes
b) No

Answers

Answer:

a) Yes

Step-by-step explanation:

Because, 3+7=10

Answer: yes

Explanation: In this problem, to determine whether c = 3

is a solution to the equation, we substitute 3 in for c.

So we have (3) + 7 = 10.

Simplifying the left side of the equation, (3) + 7 is 10.

So we have 10 = 10 which is a true statement so our answer is yes.

What is the factored form of this expression? 4x^2-12x+9​

Answers

Answer:

(2x-3)^2

i hope its correct...

Step-by-step explanation:

Answer:

2x-3

Step-by-step explanation:

Every week, Marla’s mom buys 15 liters of water at the supermarket. How many milliliters of water is this?
15,000
1,500
150
1000

Answers

Answer:

it is 15,000

Step-by-step explanation:

15,000 because there is 1,000 milliliters in one liters and 15 liters = 15,000 milliliters

Other Questions
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