Solve the inequality.


20 < k + 19

Answers

Answer 1

Solution:

Simplify the inequality and solve.

20 < k + 19=> 20 - 19 < k=> 1 < k

The simplified inequality is 1 < k.

Answer 2

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]


Related Questions

Help!!! ASAP!!!!



Please help me!!!

No wrong answers!!!

Answers

Answer:

*

Step-by-step explanation:

Pattern A: is adding 2 dots each time

Pattern B: is going up 1,2,3,4 (adding that amount each time)

Pattern C: Times by 3 each time

ginger still has 40% of her book to read. if she has read 180 pages, how many pages does she still have to read?

Answers

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

60%

Step-by-step explanation:

how do you convert 1.5cm2 into mm2 ​

Answers

Answer: 150mm squared

Step-by-step explanation:

Multiply by 100

Answer:

150mm²

Step-by-step explanation:

[tex]here,\\ (1.5*100)mm^{2} =150mm^{2}[/tex]

I will mark brainliest!!!! help me please

Answers

Answer:

  4n√(3n) +3√n -√(3n)

Step-by-step explanation:

The expression can be simplified, but terms cannot be combined.

  [tex]\sqrt{48n^3}+\sqrt{9n}-\sqrt{3n}=\sqrt{(4n)^2(3n)}+\sqrt{3^2n}-\sqrt{3n}\\\\=\boxed{4n\sqrt{3n}+3\sqrt{n}-\sqrt{3n}}[/tex]

Suppose a charity received a donation of $24.6 million. If this represents 49% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

Answer:

73.6

Step-by-step explanation:

this is an addition question so we're going to answer it with an equation let's put 24.6 + 49 =73.6

Which expression means five times the sum of b and two?
A. 5 (b+2)

B. 5b+2

C. (b+2) over 5

D. b over (5+2)

Answers

Answer:

A

Step-by-step explanation:

Brackets are used to show multiplication.

For A if we multiple out the brackets we get: 5b+10 which means 5 times the sum if b and 2

Find the nth term rule for 18,15,12,9​

Answers

Answer:

an = a+(n-1) d

this is the rule

Answer:

nth term = 21 - 3n

Step-by-step explanation:

18,15,12,9....

This is an arithmetic sequence.

a= first term = 18

Common difference = d = second term - first term

d = 15 - 18

d = -3

nth term = a + (n-1)d

             = 18 + (n-1)*(-3)

              = 18 + n*(-3) - 1*(-3)

              = 18 - 3n + 3

               = 21 - 3n

Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9. 50. The tax was 6. 2%. What was the total amount Sandra paid for her meal? Enter your answer in the box.

Answers

Percentage represents a part of a whole. The total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

What is the percentage?

The percentage is a way to represent a part of a whole. for example, one-fourth of an area A can be written like 25% of A(0.25 A).

Give to us

Sandra ordered a slice of pizza with a side salad for $9.50.

The tax was 6. 2%.

The amount of tax that Sandra needs to pay,

[tex]6.2\%\ of\ \$9.50\\\\=0.062 \times 9.50\\\\= \$0.589[/tex]

As we know that tax is the extra cost that we need to pay, therefore, the total amount Sandra needs to pay,

Total Amount = Cost + tax

                       = $9.50 + $0.589

                       = $10.089 ≈ $10.09

Hence, the total amount that Sandra needs to pay for a slice of pizza and salad is $10.09.

Learn more about Percentage:

https://brainly.com/question/6972121

two consecutive odd numbers between 60 and 80 which are both prime?

Answers

Answer:

Hello I'll help you :))!

So there are 21 numbers from 60 to 80 both terms inclusive.

We ignore all even numbers in this range as even numbers can not be prime.

The odd numbers are 61,63,65,67,69,71.73,75,77,79.

So remaining numbers are prime. They are 61,67,71,73,79.

So there are 5 prime numbers in this range.

Please try and help me answer this question. Thank you for any responses!

Answers

I really don’t even know this this app literally only gives you like 2 answers at a time.

3,328 divided by 8 show your thinking

Answers

Answer:

416

Step-by-step explanation:

Well I know 8 x 100=800 so I did 8 x 400=3,200

Then I added 8 x 10=80 which is 3,280

and from there I did 8 x 6=48

And then what's 3,280+48=3,328 because 3,280+40=3,320 and then add 8=3,328

Hope it helps

Answer:

If we break apart 3,328 and first divide 3,000 by 8 we get 375, and then divide 328 by 8 we get 41, this helps us understand that if we divided 3,328 by 8 we would get 416

Please help me with this ​

Answers

Answer:

42.9

Step-by-step explanation:

Something tells me that you want it as fast as possible, but if you need an explanation just ask!

Good luck!

[:

Answer:

58.57 approximately 58.6

Step-by-step explanation:

we've been given the value for line MN as 67.2m and also line AN as 32m so we look for line MA by saying 67.2 minus 32m to give 35.2m

considering the big triangle we have line MN and we have line MP but we don't have line NP to get line NP we use pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

81.9*2= 67.2*2 + x*2

therefore x is 46.8m

note that line NP is equal to line AB therefore line AB is also 46.8m

so we now look at the smaller triangle to find x

that's also pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

x^2 = 38.5^2 + 46.8^2

therefore our value for x is 58.6

What is the volume in cubic cm of this cone????

Answers

Answer:

113.04 cm³

Step-by-step explanation:

Volume = [tex]\frac{\pi r^2h}{3}[/tex]

Solve:

[tex]\frac{\pi3^2(12)}{3}[/tex][tex]\frac{\pi(9)(12)}{3}[/tex][tex]\frac{108\pi}{3}[/tex][tex]36\pi\\[/tex][tex]36(3.14)[/tex][tex]113.04[/tex]

-Chetan K

can someone please help me?

Answers

Answer:

2. x = 3

3. x = 10 and y =2

Step-by-step explanation:

2.

From inspection, we can see that EF = 10 and KL = 5

Therefore the ratio KL : EF = 5 : 10 = 5/10 = 1/2

This means that the side measures of ΔJKL are 1/2 the corresponding side measures of ΔGEF

Therefore, if GF = 22, then JL = 22 ÷ 2 = 11

So:  2x + 5 = 11

⇒  2x = 11 - 5 = 6

⇒ x = 6 ÷ 2 = 3

x = 3

3.

From inspection, we can see that DF = 12 and HJ = 9

Therefore the ratio DF : HJ = 12 : 9 = 12/9 = 4/3

This means that the side measures of ΔDEF are 4/3 times the corresponding side measures of ΔHGJ

Therefore, if HG = 6, then DE = 6 x 4/3 = 8

So:  2y + 4 = 8

⇒  2y = 8 - 4 = 4

⇒ y = 4 ÷ 2 = 2

y = 2

Similarly, if GJ = 24, then EF = 24 x 4/3 = 32

So:  4x - 8 = 32

⇒  4x = 32 + 8 = 40

⇒ x = 40 ÷ 4 = 10

x = 10

Mario delivered 95 newspapers in 2 hours.  If that rate continued, how many newspapers could we expect him to deliver in 5 hours?

Answers

Answer:

if he delivers 95 newspapers in 2 hours it means that he can deliver 190 in 4 hours, sadly if we were to find out how much he can do per hour he would do 47.5 so this would mean that he would do 237.5 we can round this up to 238, we could expect him to deliver 238 newspapers

Multiply & simplify: (3x - 2)^2

Answers

Mungkin Gini Kali Ya Kak

(3) × 2(2)

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)²

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

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4

what is 30 + 12 = e - 42

Answers

Answer:

e = 84

Step-by-step explanation:

30 + 12 = e - 42

e = 42 +42

e = 84

pls help-
5(u+1)-u=3(u-1)+7
No solution?

Answers

[tex]5(u + 1) - u = 3(u - 1) + 7 \\ 5u + 5 - u = 3u - 3 + 7 \\ 5u - u + 5 = 3u - 4 \\ 4u + 5 = 3u - 4 \\ 4u - 3u = - 4 - 5 \\ u = - 9[/tex]

sorry if this is not correct

1 - 2 + 5 - 2 + 5 x 2

Answers

Answer: 12

Step-by-step explanation:

Following PEMDAS, I’ll solve the multiplication first and then add or subtract the values from left to right.

1-2+5-2+5x2

1-2+5-2+10

-1+5-2+10

4-2+10

2+10

12

Answer:

12

Step-by-step explanation:

You need to use the order of operations, PEMDAS. It stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

First, multiplication on 5x2 so now it is 1-2+5-2+10.

Next, is addition and subtraction. When it says left to right you are starting with the part of the equation closest to the left, so 1-2=-1. Then add five to get 4. Subtract 2 to get 2. Finally, add 10 to get 12.

Hope you get an A! <3

18
N
h
30°
450
W
y
27
972
93
18

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

11.

10

10

15. 7

14. 11

The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm, find the base and height.​

Answers

Answer:

base = 32 cm , height = 40 cm

Step-by-step explanation:

ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²

given A = 640 , then

10x² = 640 ( divide both sides by 10 )

x² = 64 ( take square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Then

base = 4x = 4 × 8 = 32 cm

height = 5x = 5 × 8 = 40 cm

There are 150 adults and 225 children at a zoo. If the zoo makes a total of $5100 from the
entrance fees, and the cost of an adult and a child to attend is $31 dollars, how much does it cost each
for a parent and a child?

Answers

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

   4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

Twice a day Cameron's cat eats 4 ounces of dry cat food and 2 ounces of wet cat food dry food comes in 5 pound bags and wet food comes in 6 ounce cans

A how many cans of wet food should he buy to feed his cat for a week?

B How many ounces of wet cat food will be left over at the end of the week

C How many days can he feed his cat from a 5 pound bag of dry food

Answers

b! the answer is b bc jusr say how much is left

How to solve:
3*9^(2n) = (3^(n +1))^3

Answers

3×9
n+1
−9×3
2n




=
3×3
2n+3
−(3
2
)
n+1

3×(3
2
)
n+1
−3
2
×3
2n




=
3
1+2n+3
−3
2n+2

3
1+2n+2
−3
2+2n




=
3
4+2n
−3
2n+2

3
3+2n
−3
2+2n




=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)



=
81−9
27−9



=
72
18



=
4
1

Answer:

3

Step-by-step explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

18) Mr. Smith travels 280 miles in 4 hours.
How far can he go in 6.5 hours?

Answers

Answer:

here's your answer hope it helps you

Step-by-step explanation:

distance= speed*time

speed=70 miles per hour(280 in 4 hrs so divide)

time= 6.5 hour

distance=70×6.5 miles

distance=455.0 miles

Help me awnser these questions please

Answers

Answer: y=x-1

General equation of linear function: [tex]y=mx+b[/tex]

A(-1;0); x=-1, y=0

B(0;-1); x=0, y=-1

Let's solve the system of equations

[tex]\displaystyle\\\left \{ {{0=-1m+b} \atop {-1=0x+b}} \right. =>b=-1=>0=-m-1;m=-1[/tex]

I reallyyyy need help on this!!!! Can someone Help out??

Answers

Answer:

(4,5)

Step-by-step explanation:

To begin, we'll solve for y in the first equation.

-y = 3 - 2x

y = 2x - 3

Then, plug this in for y in the second equation.

9x - 6(2x-3) = 6

9x - 12x + 18 = 6

-3x = -12

x = -12/-3

x = 4

Then, you just plug your x value into one of the equations and solve for y. Personally, I think it's easiest to plug it into y = 2x - 3

y = 2(4) - 3

y = 8 - 3

y = 5

[tex]\bold{\huge{\purple{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given:-}}[/tex]

We have given two equations that is 2x - y = 3 and 9x - 6y = 6

[tex]\bold{\underline{ Let's \: Begin :-}}[/tex]

[tex]\sf{ 2x - y = 3 ...eq( 1 )}[/tex]

[tex]\sf{ 9x - 6y = 6 ...eq( 2 )}[/tex]

Solving eq( 1 ) :-

[tex]\sf{ 2x - y = 3 }[/tex]

[tex]\sf{ x = 3 + y/2 ...eq(3 )}[/tex]

Subsitute eq( 3 ) in eq( 2) :-

[tex]\sf{ 9(3 + y/2) - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y/2 - 6y = 6}[/tex]

[tex]\sf{ 27 + 9y - 12y/2= 6}[/tex]

[tex]\sf{ 27 + - 3y = 6 × 2 }[/tex]

[tex]\sf{ - 3y = 12 - 27 }[/tex]

[tex]\sf{ - 3y = - 15 }[/tex]

[tex]\sf{ y = -15/-3}[/tex]

[tex]\sf{ y = 5 }[/tex]

[tex]\sf{\red {Thus, \: the\: value\: of \:y \: is\: 5 }}[/tex]

Now, Subsitute value of x in eq( 3) :-

[tex]\sf{ x = 3 + 5/2 }[/tex]

[tex]\sf{ x = 8/2 }[/tex]

[tex]\sf{ x = 4}[/tex]

[tex]\sf{\pink{Hence , \: the\: value\: of\:x\:and \:y \: is\: 4 \: and \: 5 .}}[/tex]

If 7x – 24 = 8x – 39, then x = ?

Answers

Answer:

15

Step-by-step explanation:

-x=-15

x=15

105 -24 = 120 - 39

81 = 81

Answer:

X= 15

Step-by-step explanation:

7x – 24 = 8x – 39

39 - 24 = 8x - 7x

15 = 1x

x=15

4/7 and 3/10 with same denomiator

Answers

Answer:

4/7 = 40/70

3/10 = 21/70

Step-by-step explanation:

Jack went to a local restaurant and ordered the following:
Soda - $2.75
Hamburger - $5.75
French Fries - $2.00
Chocolate Chip Cookie - $0.75
a) What was his subtotal?

Answers

The subtotal would be $11.25

Answer: I think it is 8.55

Step-by-step explanation:

have a nice day♥️

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