On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5

Answer:

It varies depending on the measurements of the other ingredients that are being used.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

Equation of original line is y = ⅔x + 1

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

So the equation of the line using point

( 1,1) and slope 2/3 is

Hope this helps you

Answer:

C

Step-by-step explanation:

Answer:

1) ident. prop. of mult.

2) add. prop. of add.

Step-by-step explanation:

have a good day!

Answer:

2

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

Answer: 178 4/5 or as an improper fraction 894/5

Hope this helps!

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Answer:

18.

Step-by-step explanation:

4+5 is 9, and 9 times 2 is 18

Answer:

1,620,000

Step-by-step explanation:

360×4500

=1,620,000

is the answer

Hey there!

[tex]Answer:\boxed{1,620,000}[/tex]

[tex]Explanation:[/tex]

[tex]360*4500[/tex]

Let's multiply to get our answer.

[tex]360*4500=1,620,000[/tex]

[tex]1,620,000[/tex]

Hope this helps!

Answer:

y=3.364

x=4

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

[tex]1.3 ,\:-2,\: 1.8 , \:0,\: -1.75[/tex] =

[tex]-2 , -1.75 \:, 0\: ,1.3 \:, 1.8[/tex]

A negative number is a always smaller than a positive number.

The smallest negative number among the given set of data is ; -2.

The largest positive number is 1.8

Answer:

[tex] QR = 23 [/tex]

Step-by-step explanation:

P, A, and R are collinear.

PR = 54

[tex] PQ = 4x - 1 [/tex]

[tex] QR = 3x - 1 [/tex]

To solve for the numerical length of PR, let's generate an equation to find the value of x.

According to the segment addition postulate:

[tex] PQ + QR = PR [/tex]

[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)

Solve for x

[tex] 4x - 1 + 3x - 1 = 54 [/tex]

Combine like terms

[tex] 4x + 3x - 1 - 1 = 54 [/tex]

[tex] 7x - 2 = 54 [/tex]

Add 2 to both sides

[tex] 7x - 2 + 2 = 54 + 2 [/tex]

[tex] 7x = 56 [/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{56}{7} [/tex]

[tex] x = 8 [/tex]

[tex] QR = 3x - 1 [/tex]

Plug in the value of x into the equation

[tex] QR = 3(8) - 1 = 24 - 1 [/tex]

[tex] QR = 23 [/tex]

Given:

The system of inequalities

[tex]x\leq 7[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has at least one solution.

Solution:

We have,

[tex]x\leq 7[/tex]     ...(i)

It means all real values of x which are less than or equal to 0.

[tex]x\geq a[/tex]       ...(ii)

It means all real values of x which are greater than or equal to a.

Using (i) and (ii), we get

[tex]a\leq x\leq 7[/tex]

The value of x is lies in the interval [a,7].

It means, if the value of a is less than or equal to 7, then system has at least one solution.

But if a is more than 7, then the system of inequalities have to solution.

Therefore, the value of a must be less than or equal to 7.

Answer:

bxe is a triangle

Step-by-step explanation:

Answer:

2000000

Step-by-step explanation:

20 x 100,000

Answer:

2000000 or 2×10^6

Step-by-step explanation:

[tex]20\times 10^5\\\\10^5=100000\\\\=20\times \:100000\\\\=2000000\\or \\2\times 10^6[/tex]

Answer:

UV = 15

BD= 31

Step-by-step explanation:

Since, U is the midpoint of TV.

Therefore,

TU = UV

x + 10 = 3x

x - 3x = - 10

-2x = - 10

x = - 10/-2

x = 5

UV = 3x = 3*5

UV = 15

BD = BC + CD

3x - 11 = x - 2 + 19

3x - 11 = x + 17

3x - x = 11 + 17

2x = 28

x = 28/2

x = 14

BD = 3x - 11 = 3*14-11 = 42 - 11

BD= 31

Step-by-step explanation:

hope This helps for you

Answer:

Step-by-step explanation:

Common factors are the number's , variables found in each of the terms

1) 21x²y = 3 * 7 * x * x * y

  35xy² = 5 * 7 * x    *  y * y

Common factor = 7 * x * y

                          = 7xy

Answer :(iii) 7xy

2)a² - b² = (a + b)(a - b)

1 - x² = (1 - x) (1 +x)

(ii)

3) x³ - x = x(x² - 1)

            = x(x + 1)(x - 1)

Answer: (iv)

4) 225 =  15 * 15 = 15²

x³ - 225x = x(x² - 225)

                = x(x² - 15²)            {a² - b² =(a + b)(a - b)}

                = x(x + 15)(x - 15)

Answer: (ii)

5) 12a²b = 3 * 4 * a * a * b

   15ab² = 3 * 5 * a *     b * b

Common factor = 3 * a * b = 3ab

12a²b + 15ab² = 3*4*a²*b +  3*5*a*b²

                      = 3ab (4a + 5b)

Answer:(ii)

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

The simplest approach to do this is:

Convert both numbers to string

Concatenate both strings into one, as this is comparatively easy

Convert this concatenated string back to integer

Step-by-step explanation:

Given two integers n1 and n2, the task is to concatenate these two integers into one integer.

Example:

Input: n1 = 12, n2 = 34

Output: 1234

Input: n1 = 1, n2 = 93

Output: 193

Step-by-step explanation:

Odds against = failures / successes

Probability = successes / (successes + failures)

0.21 = cats / (cats + no cats)

1 / 0.21 = (cats + no cats) / cats

4.76 = 1 + (no cats / cats)

3.76 = no cats / cats

So the odds against are 3.76 to 1.  

Answer: B. 473.176

Step-by-step explanation: 3.78541 Liters are in one gallon, so if you multiply 3.78541 Liters by 125 gallons then you will end up with 473.176 liters. If you have to add tax then it would be A. 475.250

Answer:

242%

Step-by-step explanation:

Answer:

242%

Step-by-step explanation:

Whole numbers are a 100% each, so there's 200%. Tenths are 10% every tenth, so 40%, and hundredths are 1% every hundredth, so 2%.

200+40+2=242%

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Answer:

Line A B and Line C G are parallel.

Line C G and Line R S are perpendicular.

Line segment C G  lies in plane X.

Step-by-step explanation:

On my moma my answer 100%

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

When the two lines lie in the same plane then they are said to be parallel lines.

Given information:

Planes X and Y intersect at a right angle.

Lies in plane X and do not intersect.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and options A is the correct option.

B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.

C)Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y. Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre. Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, the following statements  are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

Learn more about the parallel line here:

brainly.com/question/16742265

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Answer:

Area covered by red target = 23/50

Step-by-step explanation:

Given:

Total number of shot = 50

Section      Number of shots

Red                      23

Blue                      8

Orange               10  

Yellow                 9

Find:

Area covered by red target

Computation:

Area covered by red target = 23/50

Area covered by red target = 1/2 of total area

Answer:

The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]

Step-by-step explanation:

Given that,

The number of times the arrow landed on each colored section of the spinner is shown in the table.

Tamara spun the arrow on a spinner 50 times.

Section = Red, Blue, Orange, Yellow

Number of times arrow landed = 23, 8, 10, 9

We need to calculate the fraction of the area of the Red section

Using formula of fraction of area

[tex]fraction\ of\ area=\dfrac{Red\ section}{total\ section}[/tex]

Put the value into the formula

[tex]fraction\ of\ area=\dfrac{23}{50}[/tex]

Hence, The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]

Answer: 8 copies

Step-by-step explanation:

1/3 of 60 is 20. 1/5 of 40 is 8. 8x3=24, 40-24=16

Answer:

Inconsistent System of Equations

Explanation:

There is no solution for the system of equations that graphs as parallel lines.

Parallel lines never cross, therefore there is no intersection. This is an inconsistent system of equations.

Answer:

Hey!

Your answer is -20!

Step-by-step explanation:

(-75) - 82 gives us = -157

(-157) + 83 gives us = -74

(-74) + 54 gives us = -20

I HOPE THIS HELPED!

Answer:

The person above me is correct

Step-by-step explanation:

Answer:

(3.5, 1)

Step-by-step explanation:

nswer:

1st Option is correct that is Price B , Price A , Price C

Step-by-step explanation:

0.33 < 038 < 0.49  ⇒ Price B < Price A < Price C  

Approximately, it's going least to greatest

2.25/6=0.33

1.30/4= 0.38

0.97/2 = 0.49  ALL ROUNDED

Answer:

its the first one

Step-by-step explanation:

hope that helps