Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence.

-5, 10, -20, 40,_,_,_

Answer:

C

Step-by-step explanation:

We can divide the number of raisins by 8 because there are 8 bags (680÷8) which would be 85. Next we multiply the 85 by 12 because we need to find out the number of raisins in 12 bags (85×12), which would give us 1,020.

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]15x+6=10x+21[/tex]

Subtract 6 from both sides:

[tex]15x+6-6=10x+21-6[/tex]

[tex]15x=10x+15[/tex]

Subtract 10x from both sides:

[tex]15x-10x=10x+15-10x[/tex]

[tex]5x=15[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{15x + 6 = 10x + 21}[/tex]

Move 10x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x - 10x = 21 - 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{5x = 21 - 6}}[/tex]

Subtract 6 from 21

[tex] \dashrightarrow{ \sf{5x = 15}}[/tex]

Divide both sides by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{15}{5}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 3}}[/tex]

Hope I helped!

Best regards! :D

Answer:

1120.4 is what I got

Step-by-step explanation:

3000÷5000-200+921=721.6

answer is 721.6

Answer:

-5, -7, and -12

Step-by-step explanation:

A function is defined as a relation between a set of inputs having one output each.

The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain of the function.

The outputs are called the range of the function.

We have,

A function r(x)

r(x) = x - 7

The value of r(x) at x = -2:

r(-2) = - ( -2) - 7

r(-2) = 2 - 7 = -5

The value of r(x) at x = 0:

r(0) = -0 - 7 = -7

The value of r(x) at x = -2:

r(5) = -5 - 7 = -12

We see that,

Domain = -2, 0, and 5.

Range = -5, -7, and -12.

Thus,

The values of the function r(x) at x = -2, 0 and 5 are -5, -7, and -12.

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Answer:

I believe is is 2/7.

Step-by-step explanation:

Add green red and blue together and made that the denominator, 7, and make how many red balls their are, 2, the numerator.

Answer:

the slope is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope of the line is 3

Answer:

13cm

Step-by-step explanation:

P=2l+2w

56=2(15)+2w

56=30+2w

26=2w

w=13

Answer:

B

Step-by-step explanation:

15>22+x

or, -x+15>22

or, -x>22-15

or, -x>7

or, x<-7 is your answer.

Answer:

tje answer is 4

Step-by-step explanation:

4x5=20

20-6=14

Answer:

0.79 or 0.80 I am pretty sure

Answer:

x = 2, -4

Step-by-step explanation:

To find the answer to this question, we will have to find the values of x where:

-5|x + 1| + 3 = -12

We can solve this equation for x to find the values of x that satisfy this equation.

-5|x + 1| + 3 = -12

Subtract 3 from both sides.

-5|x + 1| = -15

Divide both sides by -5.

|x + 1| = 3

Now here, the equation will split off into two different equations. These two are:

x + 1 = 3

x + 1 = -3

Lets solve the first one first.

x + 1 = 3

Subtract 1 from both sides.

x = 2

Now we solve the second one.

x + 1 = -3

Subtract 1 from both sides.

x = -4

So now we have the answers x = 2 and x = -4.

So the values of x are x = 2, -4

I hope this helps.

Answer:

the answer is C

Step-by-step explanation:

Answer:

baby I'm a different yea yea yea yea ye

Answer:

$4.12

Step-by-step explanation:

$26.78 / 6.5 gallons = $4.12 per gallon

Answer: $4.12

Step-by-step explanation: For every gallon the unit rate is $4.12 per gallon.

Hope this helped!

Answer:

6 and 11/25

Step-by-step explanation:

Turn demical number into an unreduced fraction, or 6 and 44/100. Then, reduce the fraction to simplest terms via dividing by a common factor. In this case, 11.

Answer:

1) yes

2) yes

3) no

Answer:

8

Step-by-step explanation:

6*(n + 15) = -42

Divide both sides by 6

6*(n - 15)/6 = -42/6

n - 15 = -7

n = -7 + 15

n = 8

The equation is solved and the number is n = -22

Given data ,

The sum of a number and 15 can be written as (n + 15)

Six times the sum of a number and 15 can be expressed as 6(n + 15).

According to the given information, this expression is equal to -42. So, we can write the equation:

6(n + 15) = -42

To solve for n, we need to simplify and isolate the variable.

Distribute 6 to the terms inside the parentheses:

6n + 6(15) = -42

Simplify:

6n + 90 = -42

Next, we want to isolate the variable term. Subtract 90 from both sides of the equation:

6n + 90 - 90 = -42 - 90

Simplify:

6n = -132

Finally, divide both sides of the equation by 6 to solve for n:

n = -132 / 6

Simplify:

n = -22

Hence , the number n is -22

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Answer:

1

Step-by-step explanation:

-4(-1)+-3

4+(-3)

=1

Answer: [tex]1[/tex]

Multiply

[tex]-4*-1=4[/tex]

Note: Multiply a negative to a negative will equal a positive.

Add

[tex]4+(-3)=1[/tex]

Answer:

Hector's estimate is reasonable.

Step-by-step explanation:

His estimate is reasonable because:

Answer:

the equation that passes through this is y= -7x-22

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-4,6) and has a slope of -7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -7. So you can right away fill in the equation for a line somewhat to read:

y=-7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-4,6). When x of the line is -4, y of the line must be 6.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (-4,6).

So, why not plug in for x the number -4 and for y the number 6? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-4,6). y=mx+b or 6=-7 × -4+b, or solving for b: b=6-(-7)(-4). b=-22.

Answer:

116°

Step-by-step explanation:

mD1+mD2=180°

64°+mD2=180°

mD2=180°-64°

mD2=116°

Answer:

the smaller number minused by the bigger number.

Step-by-step explanation:

Hopefully this helps you :)

pls mark my answer brainlest ;)

Answer:

5(x - 2)=5x-7 has no solution

-3(x - 4)=-3x+12 infinitely many solutions

4(x+1)=3x+4 no solution

-2(x - 3)=2x-6 infinitely many solution

6(x + 5)=6x+11 no solution

Step-by-step explanation:

5(x - 2)=5x-7

-3=0

-3(x - 4)=-3x+12

0=0

4(x+1)=3x+4

x=0

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

0=0

6(x + 5)=6x+11

30=11

I hope this helps.

Answer:

$ 360

Step-by-step explanation:

Puppy is on sale for = $ 324

It is marked down by 10% from original selling price of $ 360

Markup from the original buying cost = $ 54

Original Cost was = 360 - 54 = $ 306

$ 360 was the original price which was marked down by 10%  i.e. $ 36 to the sale price of $ 324

Answer:

-2

Step-by-step explanation:

6k=-24+12

or,6k=-12

or,k=-12/6

or,k=-2

Answer:

The value of k is -2.

Step-by-step explanation:

First, you have to add 12 to both side :

[tex]6k - 12 = - 24[/tex]

[tex]6k - 12 + 12 = - 24 + 12[/tex]

[tex]6k = - 12[/tex]

Next, you have to divide by 6 :

[tex] \frac{6k}{6} = \frac{ - 12}{6} [/tex]

[tex]k = - 2[/tex]

Answer:

Step-by-step explanation:

Length = 6m

Breadth =4m

[tex]Area = length\times breadth\\\\A = 6\times 4\\\\A= 24cm^2[/tex]

Answer:

area of carpet = 19.25 m²

Step-by-step explanation:

given:

A room measuring 6m x 4m is carpeted leaving space of 25cm all around.

find:

the area of the carpet

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

carpet is offset 0.25m all round.

area of carpet = (6 - 0.25 - 0.25) x (4 - 0.25 - 0.25)

area of carpet = 5.5 m x 3.5 m

area of carpet = 19.25 m²

Answer: 1.83/10 or 18.3/100

Answer:

y = 4x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 8 , thus

y = 4x + 8 ← equation of line

The equation in slope-intercept form is y = 4x+8

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given that, a line has a y-intercept of 8 and a slope of 4.

We know that, the general equation of a line is given by, y = mx+c

where m is slope and c is the y intercept,

Here, m = 4 and c = 8

Therefore, the equation can be, y = 4x+8

Hence, The equation in slope-intercept form is y = 4x+8

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Answer:

f(2)= -1

Step-by-step explanation:

[tex]f(d) = 2d -5\\\\f(2)=?\\\\[/tex]

Substitute ; Let d =2 in the given function

[tex]f(2)= 2(2) -5\\\\f(2) = 4-5\\\\f(2) =-1[/tex]

▪ Answer:

+ 16

▪ Step-by-step explanation:

Hi there !

(-2)^4 =

= (-2)(-2)(-2)(-2)

= (4)(-2)(-2)

= (-8)(-2)

= + 16

Good luck !

(-)(-) = +

(-)(+) = -