Translate the sentence into an inequality.
Twice the difference of a number and 3 is at least -20.

Step-by-step explanation:

okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.

Answer:

0>-45

True for all x

Step-by-step explanation:

[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]

Answer:

school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...

9

9x5=45

Answer:

b = 36 is the lie.

Step by step:

If we plug in b with it equaling -36 the equation will be

-39 - (-36) which you remove the minus from the -36 and change the subtraction to addition and you get

-39 + 36 = -3

In the end b = -3

So the other one must be wrong, but just incase we will plug it in.

-36 - 36 = 0

Plugging in 36 for b results in 0 which is not correct.

Step-by-step explanation:

formula used is height= area×3/base

35.595×2/6.3

71.19/6.3

11.3mm2 is the answer

Answer:

[tex] \huge{ \fbox{ \sf{11.3 \: mm}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf Given} : [/tex]

[tex] \star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}[/tex]

[tex] \star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}[/tex]

[tex] \star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}[/tex]

[tex] \underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}[/tex]

[tex]\sf{Plug \: the \: values}[/tex]

[tex] \mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}[/tex]

[tex] \mapsto{ \sf{35.595 = \frac{6.3h}{2} }}[/tex]

[tex] \sf{Apply \: cross \: product \: property}[/tex]

[tex] \mapsto{ \sf 6.3h = 35.595 * 2}[/tex]

[tex] \mapsto{ \sf{6.3h = 71.19}}[/tex]

[tex] \sf{Divide \: both \: sides \: by \: 6.3}[/tex]

[tex] \mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}} [/tex]

[tex] \mapsto{ \sf{h = 11.3 \: mm}}[/tex]

The height of a triangle = 11.3 mm

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

Answer:

The answer is Odd.

Step-by-step explanation:

I hope this helps you :)

Answer:

Area = 20 cm²

Step-by-step explanation:

Area = width * length

area = 5cm * 4cm

area = 20 cm²

Answer:

20 cm

5x4 =20

length times width

Answer:

F+95C+32=0 & F−32=95C

Step-by-step explanation:

f=95c+32

Answer:

1st and the last one

Step-by-step explanation:

Answer:

I believe the term is the index number

Answer:if you look up the name of your work sheet into google and type in answer key after it will show up w the answer key

Step-by-step explanation:

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

Answer:

29

Step-by-step explanation:

all you do is divide.

Answer:

x/2 + 7 = 13 is the answer

Answer: C

Step-by-step explanation: He sold half of his comic, meaning dividing whatever he had by 2. Buying 7 more and it will equal 13.

Answer:

[tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

Step-by-step explanation:

[tex]\frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=\frac 1{\sin \theta}-\frac 1{\text{cosec} \theta}-\cot \theta[/tex]

[tex]\Rightarrow \frac 2{\text{cosec} \theta}+2\cot \theta-\frac 2{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac 1{\text{cosec} \theta}+\cot \theta-\frac 1{\sin \theta}=0[/tex]

[tex]\Rightarrow \sin \theta -\frac 1{\sin \theta}+\frac{\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{\sin ^2\theta-1+\cos \theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \frac{-\cos ^2\theta+\cos \theta}{\sin \theta}=0\Rightarrow\frac{\cos \theta-\cos ^2\theta}{\sin \theta}=0[/tex]

[tex]\Rightarrow \cot \theta(1-\cos \theta)=0[/tex]

[tex]\text{If} \;\;1-\cos \theta=0\Rightarrow \cos \theta=1[/tex]

[tex]\Rightarrow \theta=2n\pi\;\; \text{for all}\; n=0,1,2,.....[/tex]

[tex]\text{If} \cot \theta=0\Rightarrow \frac{\cos \theta}{\sin \theta}=0\Rightarrow \cos \theta=0[/tex]

[tex]\Righarrow \theta =\frac{\pi}2+2n\pi\;\;\text{for all}\; n=0,1,2,...[/tex]

Hence, [tex]\theta =2n\pi, \;\frac{\pi}2+2n\pi \;\;\text{for all}\; n=0,1,2,...[/tex]

Answer:

6x + 24

Step-by-step explanation:

Distributive property: a (b + c) = ab + ac.

6 (x + 4) = 6x + 6(4) = 6x + 24.

Answer: x - 2y + 2z

keep it in alphabetical order!

Step-by-step explanation:

the negative on the outside changes what is on the inside, so the new equation will be

3x + 4y - 2x + 2z - 6y

combine like terms

x - 2y + 2z

Answer: 3x +10y

Step-by-step explanation:

first you put all the common integers (i think that is what they are called) together

3x+4y+6y-2z-(-2z)

Then you add and subtract all the integers

4y+6y=10y

-2z-(-2z)=0

so the answer is

3x+ 10y

Hopefully this is the right answer

God bless you!!

I assume we're solving for n.

3n/7 - 1 = 1/8.

First, add 1 to both sides.

3n/7 = 9/8

Now, let's multiply both sides by 7

3n = 63/8

Divide both sides by 3

n = 21/8

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The "Commutative Laws" say:  when we add we can swap numbers over and still get the same answer.

8 - 2 = (8) + (-2) = (-2) + (8) = -2 + 8

Answer:

40 did it on edge

Step-by-step explanation:

The unit rate of calories per ounce will be 40 calories/ ounce

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :

4-ounce = 160

1- ounce = 160/4

=40

Therefore, the unit rate of calories per ounce = 40 calories/ ounce.

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Answer:

50v

Step-by-step explanation:

The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.

Answer:

8.8387 (round to 8.84)

Step-by-step explanation:

To find the percentage of something, convert the percent into decimal form by moving the decimal two places to the left. In this case, the decimal form of 13% is 0.13

Then, multiply this decimal by the number you need to find the percentage of. In this case, that number is 67.99

The result of .13x67.99 is 8.8387.

Answer:

$8.84

Step-by-step explanation:

1.) Start with the 13%

2.) You have 13.

3.) Move the decimal point 2 places to the left.

4.) Now you have 0.13

5.) Multiply 0.13 and 67.99

6.) This equals $8.84

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from negative to positive.

Answer:

3 degrees

Step-by-step explanation:

Answer:

3 more then the original number

Step-by-step explanation:

Answer:

6.5 inches

Step-by-step explanation:

Divide 26 by 4

26/4=6.5

The length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Given; The area of a square poster 26 inch

We need to find the length of one side of the poster to the nearest tenth of an inch.

The area of a square would be S^2

26 = S^2

s = sqrt(26) = 5.099

Then rounded to nearest tenth = 5.1 inches

Hence, the length of one side of the poster to the nearest tenth of an inch is 5.1 inches.

Learn more about the area here;

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Answer:8,8

Step-by-step explanation:

Took the test on edge

Answer:

C. (8, 8)

Step-by-step explanation:

Edge 2022. ^

The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶ so option (D) will be correct.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

⇒ [(4m²n⁻³)² × 12n¹³]/(8m²⁰)

⇒ [(16m⁴n⁻⁶) × 12n¹³]/8m²⁰

⇒ 192m⁴n⁷/8m²⁰

⇒ 24n⁷/m¹⁶

Hence "The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰)  will be 24n⁷/m¹⁶".

To learn more about expression,

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shrek himself is the ultimate life form

Answer:

This is Shreks ultimate form.

Step-by-step explanation:

This is Shreks ultimate form.

If c – a = b, then true statement is A. a + b = c

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.

Now the given statement is,

c – a = b

adding a to both the the side

c – a + a = b + a

⇒ c = b + a

Using commutative property of addition we get,

a + b = b + a

Therefore, we get

⇒ c = a + b

Thus the true statement is A. a + b = c

To learn more about addition :

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Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions