What is the next number in the pattern?

9514 1404 393

Answer:

  -49/4

Step-by-step explanation:

The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.

The product being sought is (7/2)(-7/2) = -49/4.

Answer: -49/4

Step-by-step explanation:

First set up two equations; a primary and a secondary equation.

Primary: P=xy

Secondary: x=7+y

Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.



Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2

Finally substitute y value into the secondary equation and solve for x:

x = 7 - 7/2

= 14/2 - 7/2

= 7/2



Multiply the two values together: -7/2 * 7/2 = -49/4

Answer:

One and fourteen fifteenths

Step-by-step explanation

4/5 (2 15/2)

4/5 (29/12)

29/15=1 14/15

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

Answer:

36

Step-by-step explanation:

7x + 8

x = 4

So, 7(4) = 28

28 + 8 = 36

Answer:

[tex]q = 7[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q}[/tex] --- inverse variation

[tex]p =2; q = 21[/tex]

Required

Find q when [tex]p = 6[/tex]

[tex]p\ \alpha\ \frac{1}{q}[/tex]

This becomes

[tex]p = \frac{k}{q}[/tex]

Where k is the constant of variation.

Make k the subject

[tex]k = p * q[/tex]

Substitute [tex]p =2; q = 21[/tex]

[tex]k = 2 * 21[/tex]

[tex]k =42[/tex]

When [tex]p = 6[/tex], we have:

[tex]p = \frac{k}{q}[/tex]

[tex]6 = \frac{42}{q}\\[/tex]

Make q the subject

[tex]q = \frac{42}{6}[/tex]

[tex]q = 7[/tex]

Answer:

Equation: 45 - 21 = s

The second answer is 24.

You can check by adding 24 + 21 which is 45.

4.57438 to the nearest tenths place is 5.

Answer:

$1.70

Step-by-step explanation:

34 x 0.05 = 1.70

$1.70 is the tax

Answer:

C

Step-by-step explanation:

x^2 + 20^2 = 25^2

x^2 + 400 625

x^2 = 225

x = 15

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The volume of the bedroom:

9 * 5 * 7 = 315 cubic feet

The volume of the den:

(9*2) (5*2) (7*2)

18 * 10 * 14 = 2,520

2,520/315 = 8

1) Answer:

[tex]{x}^{18} [/tex]

2) Answer:

[tex] {16x}^{19} [/tex]

3) Answer:

[tex] {x}^{4} {y}^{9} [/tex]

4) Answer:

[tex]a ^{12} [/tex]

5) Answer:

[tex]125 {x}^{10} [/tex]

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

Answer:

x=1.28

Step-by-step explanation:

Answer:

make shur your using fractions

54 60

x   100 cross multiply

54(100)   60(x)

5400          60x

divided both by 60

5400/60    60/60

90                   1

= $90

then you go

54  60

90  100

and use a caculater to see if your answer is coorect

you just fowllow the steps to see if you get 90

Step-by-step explanation:

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

Step-by-step explanation:

we can use it to solve age problems and Money problems e.t.c

Answer:

Let the correct number be x.

therefore,

x - 6.5 = 79.4

Answer:

h = 12 cm

Step-by-step explanation:

Given that,

The area of the can of a soup, A = 354.2 cm²

Radius of the can, r = 4.7 cm

We need to find the height of the can. The formula for the volume of a cylinder is given by :

[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]

So, the height of the can is equal to 12 cm.

Answer:

5+12x-3 = 14

12x = 14 -5+3

12x = 12

x = 1

Answer:

X=1. I did mental math. I am sure.

Answer:

the no of liters required is 50.55 liters

Step-by-step explanation:

Given that

The car gas efficiency is 23.0 mi/gal

distance is 495 km

1 gal = 3.78 L

1 km = 0.6214 mi

We need to find out the no of liters of gas that would needed to complete a trip

So,

= (495 × 3.78 × 0.6214) ÷ (23)

= 50.55 Liters

hence, the no of liters required is 50.55 liters

Answer:

Step-by-step explanation:

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.

The distance covered by the snail in 4 days from Monday to Friday morning is,

Distance = 4 days × 18 inches = 72 inches

Distance covered on Friday = 30 inches

Total distance covered = 72 inches + 30 inches = 102 inches

The total distance covered before you leave on Friday is 102 inches.

Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.

Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Learn more about Multiplication here:

https://brainly.com/question/14059007

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9514 1404 393

Answer:

  16 and 10

Step-by-step explanation:

Let x and y represent the two integers.

  x = 2y -4 . . . . . one is 4 less than twice another

  x^2 +y^2 = 356 . . . . the sum of their squares is 356

We can solve these using substitution.

  (2y -4)^2 +y^2 = 356 . . . . substitute for x

  5y^2 -16y +16 = 356 . . . .  simpify

  5y^2 -16y -340 = 0 . . . . . put in standard form

  (5y +34)(y -10) = 0 . . . . . . factor*

  y = 10 . . . . . the only positive solution

  x = 2(10) -4 = 16

The integers are 16 and 10.

_____

* A graphing calculator can provide useful insight as to the factors.

Answer:

16 and 10 is the answer.

Step-by-step explanation:

Answer:

380 I belive! :))

Step-by-step explanation:

Correct me if I'm wrong! ((:

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)