How to solve algebraic inequalities.

Answer:

x = 7

Step-by-step explanation:

"six times a number is 21 less" = 6x + 21

"nine times the same number" = 9x

Equation: 6x + 21 = 9x

6x + 21 = 9x       [tex]\longmapsto[/tex]       Subtract 6x from both sides

21 = 3x               [tex]\longmapsto[/tex]       Divide both sides by 3

7 = x

x = 7

-Chetan K

Answer:

Table I blank is 1

Table II blank is 1.398

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

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Answer:

x+2x+2=17

Step-by-step explanation:

I'm assuming that's what you're asking, so here is the answer explanation.

3x+6=21

3x=15

Hence, x=5

Apply x=5 to x+2x=2

5+10+2

=17

Answer:

13.5

Step-by-step explanation:

use soh cah toa

cos 30 × 9√3= n

Answer:

  -1

Step-by-step explanation:

The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.

  d(log(x))/dx = 1/(x·ln(10))

  d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))

Then the ratio of these derivatives is ...

  lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x

__

At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.

  d(-sin(x)cos(x))/dx = -cos(2x)

  dx/dx = 1

so the limit is ...

  lim = -cos(2x)/1

  lim = -1 when evaluated at x=0.

_____

I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.

Hola!!

5p² = 20

p² = 20/5

p² = 4

p = √4

p = 2.

El valor de p² es 4 & p es 2.

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

¡Espero que te ayude!

RainbowSalt2222 ☔

Answer:

Tbh i don’t really know

Step-by-step explanation:

Ask someone else

The image point is (-6, 3).

According to tradition, the "image" of point P is the reflection of point P across the line, which is designated by the term P' (pronounced "P prime").

The reflection of point (a,b) with respect to line y=k is point (a, 2k -b)

To find the image of the point (-6 ,1);

The formula:

(a, b) → (a, 2k-b)

Here a=-6, b = 1, k = 2

therefore (-6, 1) → (-6, 2×2 (-1))

= (-6, 3)

Hence, the answer is (-6, 3).

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Answer:22$

Step-by-step explanation:

2x8.50 = 17+5 = 22$

How long do they bowl

Answer:

Step-by-step explanation:u have to add x+6 = ur answer there u go

Answer:

See Graph below

Step-by-step explanation:

I hope this helps anyone who needs it :)

Answer:

not a direct variation

Step-by-step explanation:

x = (y-2)/9 is also x = y/9 - 2/9

we can convert this into slope-intercept form

y/9 = x + 2/9

y = 9x + 2

this equation is a straight line and is constantly going up BUT the y-intercept is not 0 so it is not a direct variation

the direct variation equation y = kx does not have a b or a y-intercept

Answer:

42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!

Step-by-step explanation:

Using vertical angles theorem, we can get another 42, 180-42, and 180-42.

So we have 42, 138, and 138

Answer:

I think it 2 solution to the problem you can add or multiple

Answer:

I belive the answer is 3.

Step-by-step explanation:

35-2x4^2

35-2x16

35-32

3

Answer:

[tex]1225-140x^4+4x^8[/tex]

Step-by-step explanation:

(35-2x^4)^2 is a form of [tex](a-b)^2=a^2+b^2-2ab[/tex]

Applying this formula, we get 1225+4x^8-140x^4

Answer:

the answer is 7 + 3 . 5

Step-by-step explanation:

The angle of depression is the angle formed with the horizontal, when an object is viewed below the horizontal level. Thus, the height of the cliff is approximately 123.86 m.

Let the height of the cliff be represented by h, so that:

From the triangle 1, we have:

tan [tex]32^{o}[/tex] = [tex]\frac{h}{x}[/tex]

⇒ h = tan [tex]32^{o}[/tex]*x

    h = x tan [tex]32^{o}[/tex] ............. 1

Also, from the bigger triangle, we have:

tan [tex]24^{o}[/tex] = [tex]\frac{h}{80 + x}[/tex]

⇒ h = tan [tex]24^{o}[/tex] (80 + x) .........  2

Now equating the expressions for h in equations 1 and 2, we have:

x tan [tex]32^{o}[/tex] = tan [tex]24^{o}[/tex] (80 + x)

0.6249x = 0.4452 (80 + x)

               = 35.616 + 0.4452x

0.6249x - 0.4452x = 35.616

0.1797 x = 35.616

x = [tex]\frac{35.616}{0.1797}[/tex]

x = 198.2 m

Substitute the value of x in equation 1;

h = x tan [tex]32^{o}[/tex]

  = 198.2 * 0.6249

 = 123.8552

h = 123.86 m

Therefore, the height of the cliff is approximately 123.86 m.

A sketch to this question is attached.

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Answer:

y = 5x +4

Step-by-step explanation:

x has to equal 1

y = 5(1) +4 = 9

The sentence representing the equation is 912 is the same as 15 decreased by a number.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given an equation, 912 = 15 − x

Here, 912 is equal to a number which is being subtracted from 15.

Hence, The sentence representing the equation is 912 is the same as 15 decreased by a number.

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Answer: 486 glasses of water in 9 weeks

Step-by-step explanation:

54 X 9 = 486

Or you could add 54 to itself 9 times then you will get 486

Answer:

139.5

Step-by-step explanation:

8370/60

=139.5 per farm

The number of acres is each farm is 139.5 acres

Given that, 60 farms that cover about 8,370 acres of land.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number acres is each farm = Total number of acres/Number of farms

= 8,370/60

= 139.5 acres

Therefore, the number of acres is each farm is 139.5 acres

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Answer:

IS LINEAR

Step-by-step explanation:

Answer:

*Find a number on top of the fractions and a number on the bottom of the fractions that can both be divided by the same number.

*Divide both numbers in the fractions by this number.

*Write the answers to this division in the place of the original numbers in the fraction.

Answer:

Step-50*t + 30*m = 1500,   (1)   (pounds)

4*t +  3*m = 138.    (2)   (cubic feet)

From (2), express 3m = 138 - 4t, and substitute it into (1). You will get

50t + 10*(138-4t) = 1500,  or

10t = 1500 - 1380  --->  10t = 1120  --->  t = 112 TVs.

From this point, find the number of microwaves on your own.

step by-step explanation:

Based on the question, the volume of the cylinder is approximately 56,520 cubic meters.

The formula for the volume of a cylinder is seen as:

V = πr²h

where

V  = volume

r =  radius of the base

h = height of the cylinder.

Then by Substituting the given values, we will have:

V = π(10m)²(18m)

= π(100m²)(18m)

= 18000π cubic meters

To be able to  find the value to the nearest tenths place, we need to use π ≈ 3.14. hence:

V ≈ 18000 × 3.14

= 56520 cubic meters

Therefore, the volume of the cylinder is about 56,520 cubic meters to the nearest tenths place.

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Rationalise the denominator of 1/2√3

Detailed answer is in the image attached.

Hope it helps you....

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Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition states that ( a + b ) + c = a + ( b + c )​

Answer:

Think of it as.....

a(b+c) also know as... ab+ac=______

Step-by-step explanation:

hope this helps!

your going to rock the distributive property

Answer:

Maybe to practice at least 10 problems a day, the more you have right the more you are gonna see yourself become more successful in that area.

Also watch videos, anyone that you can find I recommend.

or go to Khan Academy.

Step-by-step explanation:

I did it as well and now I pass everything that is compared to that subject.