How do I simply this expression?

Answer:

Yes, it is an Arithmetic Sequence

Step-by-step explanation:

[tex]31 - 37 = - 6 \\ \\ 25 - 31 = - 6 \\ \\ 19 - 25 = - 6 \\ [/tex]

Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.

Yes, 37, 31, 25, 19 is an Arithmetic sequence.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

(for all positive integer values of n)

thus, the common difference is  T_{n+1} - T_n

for all positive integer values of n

Given sequence; 37, 31, 25, 19

We can see that the difference between the terms are equal;

31 - 37 =  - 6

25 - 31 =  - 6

19 - 25 =  - 6

Since the difference between any two consecutive terms is same.

Hence, 37, 31, 25, 19 is an Arithmetic sequence.

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Answer:

$15

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Divide $45 by 3 and you get $15.

If a sentence has "of" in it means to multiply, and the opposite of multiplication is division.

Check; 15 x 3 = 45.  15, 30, 45

Hope this helps!

-Jerc

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

[tex]\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar[/tex]

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

[tex]4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4[/tex]

[tex]\frac{7}{2}\ cup\ flour = 1\ cup\ sugar[/tex]

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

[tex]4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4[/tex]

[tex]2 * 7\ cup\ flour = 4\ cup\ sugar[/tex]

[tex]14\ cup\ flour = 4\ cup\ sugar[/tex]

Hence;4 cups of sugar require 14 cups of sugar

Answer:

Step-by-step explanation:

Given the expression 7+(-2)

Let 7 be 7 positive tiles since it is a positive number

Let -2 be 2 negative tiles being a negative number

7+(-2) = 7 positive tiles and 2 negative tiles

note that + * - will give minus sigh (-), the expression will become:

7+(-2) = 7-2

7-2 = 5

Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.

Hence Jillian made an error in step 4

Answer:

the answer would in-fact be D

Step-by-step explanation:

hope this helps

ps i did this on edge.

Answer:

a=4

b=5

c=2

d=3

e=1

question number 36 the answer is always true because rational numbers are numbers that can be turned into fractions or simple fractions easily and any integers that is positive added together will provide a positive answer.

37. the answer is always true because and a negative integer and a negative integer added together will give a negative answer.

38. sometimes true. a positive intergee plus a negative interger can give a positive or negative answer. eg -3+2=-1 but -4+8=4

39. always true. + multiply + =+

40. never true. - multiply - = +

Answer: The formula is x6

Step-by-step explanation:

Answer: 7 gallons; 14 gallons

Step-by-step explanation:

Let the amount of water in the first container be x.

Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x

The total amount of water is 21 gallons. This means:

x + 2x = 21

3x = 21

x = 7 gallons

First container = 7 gallons

Second container= 2x = 2×7 = 14 gallons

Answer:

A. Both have same y-value

B. Both have different slopes

Step-by-step explanation:

A. Both start at 0

B. When looking at the equations both have different slopes

Answer:

[tex]-\frac{7}{25}[/tex]

Step-by-step explanation:

Value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."

Identity used

[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]

According to the question,

Given value of trigonometric ratio,

[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]

Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,

[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]

Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex]  the trigonometric identity ,

[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]

Hence ,  value of given trigonometric ratio is equals to  [tex]cos (2x) = \frac{7}{25}[/tex].

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Answer:

The absolute value of point B on the number line is 2.2.

Step-by-step explanation:

A number line is given with point A at coordinate negative 2.2, point B at coordinate negative 1.6, and point C at coordinate 1.2.

So, on the number line, all the points having negative value are on the left side of zero.

Position of the point A is -2.2,

Position of the point B is -1.6,

Position of the point C is -1.2.

The absolute value of any point on the number line is the distance of that point from zero.

So, the absolute value of point B on the number line is the distance of point B from zero which is |-2,2|=2.2.

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

Answer:

800 dollars

Step-by-step explanation:

To find the answer, you should multiply 10,000 by 8% or 0.08 = 800

Answer:

789.4 tards of dental floss

Step-by-step explanation:

multiply 11 by 49.4 which gives you 543.4 then multiply 15 by 16.4 then add up your answers and then you have your correct answer.

Answer:

789.4 yards of dental floss total.

Step-by-step explanation:

15 times 16.4 = 246

11 times 49.4 = 543.4

246+543.4=789.4

Answer:

0.63

Step-by-step explanation:

you have to divide by 6 to find out how much rain falls in one hour

Answer:

32

Step-by-step explanation:

Hope it helps!!

Answer:

2x2 is 4 but you have 3 apples?

Step-by-step explanation:

Answer:

Your answer would be 27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

-3.75

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Answer:

A. 1/2

Step-by-step explanation:

rise over run

up 1, to the right 2

Answer:

linear pair

Step-by-step explanation:

Linear pair because they are adjacent and supplementary

Answer:

Step-by-step explanation:

[tex]a_1=14\\a_2=22\\\\d=a_2-a_1=22-14=8\\\\a_n=a_1+d(n-1)\\\\a_{75}=14+8(75-1)=14+8\cdot74=14+592=606[/tex]

Answer:

-3n-7

Step-by-step explanation:

n-7-4n

and then u combine like terms and u get

-3n-7

Answer:

-3n-7

Step-by-step explanation:

n also means 1n

Answer:

-2

Step-by-step explanation:

-3(-2) - 1 is equal to 5. And 2(-2) is equal to -4.

Answer:

-0.2

Step-by-step explanation:

-3y - 1 > 2y

Add 3y to both sides

-1 > 5y

Divide both sides by 5

-0.2

Hope I helped :)

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