Define a variable and write an inequality for each problem. Then solve.

15. Nineteen more than a number is less than 42.
16. The difference of three times a number and 16 is at least 8.
17. One half of a number is more than 6 less than the same number.
18. Five less than the product of 6 and a number is no more than twice that same number.​

Answers

Answer 1

Answer:

15) n+19<42

16) 3n-16 (less or equal) 8

17) n/2 > n-6

18) 6n-5<2n

Step-by-step explanation:


Related Questions

The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?​

Answers

Answer:

A = 2 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the distance between parallel sides and b₁, b₂ , the parallel sides

Here h = 1, b₁ = 3, b₂ = 1 , then

A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²

Find the missing angle.

Answers

Answer:

Angel V = 74

I hope it's helps you

The missing angle is 74 degrees. Triangles add up to 180° so do 180 minus the angles given to get 74.

Is 4 or 3 bigger in a integer

Answers

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?

Answers

Answer:

B

Step-by-step explanation:

Rearrange the equation making x the subject

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )

2y = x - 3 ( add 3 to both sides )

2y + 3 = x

Change y back into terms of x with x being the inverse function, that is

y = 2x + 3 → B

a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line

Answers

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

Solve the following equation.
X - (-6) = 15

Answers

X = 9, good luck, Chuck.

Answer:  x=9

Step-by-step explanation:

x-(-6)=15

first the subtraction sign and the negative sign becomes a plus sign

x+6=15

  -6  -6

Next you subtract 6 from both sides of the equation. And that leaves you with

x=9

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept -3

Answers

Answer:

It is

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

Step-by-step explanation:

General equation:

[tex]{ \sf{y = mx + c}}[/tex]

m is the slope

c is the y-intercept

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

The HCF of 8 , 12 and 24 is ______​

Answers

Answer:

the Highest common factor (HCF)of 8,12,24 is 4

cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1

Answers

hope you do not mind expressing this on in English ‍♂️

Using rational numbers how do you solve -37 + (-64)

Answers

Answer:

-101

Step-by-step explanation:

An addition sign in front of the negative number means to subtract that number.

Another way to write -37 + (-64) is:

-37 - 64

-37 - 64 = -101

please help with math

Answers

1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4

2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)

3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2

HELP PLS IM BEGGING YOU PLS HELP, its due todayyy pls. Angle CBD is the only one i got right and the rest is wrong. I dont know how to answer it anymore.

Answers

Answer:

try It would be number 81

Step-by-step explanation:

Abc= 110

ceo=70

dbe=110 or 120

and abe= 60 70 or 81

Answer:

ABC=112 degrees

DBE=112 degrees

ABE=68 degrees

Step-by-step explanation:

CBD=ABE

ABE=68 degrees

First let's take these as X,

ABC=DBE=X(Vertically opposite angles)

ABC+DBE+CBD+ABE=360(angles around a point)

   x  + x     +68   +68  =360

      2x        +136        =360

                       2x       =360-136

                       2x       =  224

                             x    =112 degrees

therefore;

   ABC=112 degrees

   DBE=112 degrees

What's (9+9i)(-1-5i) using foil method

Answers

Answer:

36-54i

Step-by-step explanation:

(9+9i)(-1-5i)

v

-9-9×5i-9i-9i×5i

v

-9-45i-9i-45i^2

v

-9-45i-9i-45×(-1)

v

(-9)-45i-9i+(45)

v

36(-45i)(-9i)

v

36-54i

The height of a triangle is 5 cm more than its base. The area of the triangle is 52 square centimeters. What is the base of the triangle?

Answers

Answer:

the base is 8 cm

Step-by-step explanation:

basically, we need to set up a system of equations.

if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.

1/2bh = 52 and h = b+5

subsitute in the (b+5) for the h in the first equation to get

(1/2)(b)(b+5) = 52

multiply both sides by two to get rid of the 1/2

b)(b+5) = 104

now multiply the bs together!

b^2 + 5b = 104

If you know how to factor, we can make this

b^2 +5b -104 and then

(b+13)(b-8) = 0

solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.

Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.

When you plug in the 13 and 8 into the area equation, you get

(8)(13)(1/2) = 52

52 = 52

so it works!

lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula

[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..

hope that helps! :)

please solve this question i need help​

Answers

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

Simplify show all steps thirty POINTS!

Answers

6a + 3
Hope it helped
I think it’s 2a+3
Since you have to divide 6a AND 9 by 3 :)

278 kg to pounds, rounded off to the nearest pound.

Answers

Answer:

About 613 pounds

Step-by-step explanation:

1 : 2.20462262

278 : 612.885089

612.885089 --> 612.89 --> 612.9 --> 613

The area of this shape is 24 square units. Which of these statements is true about the area ?​

Answers

D.

Because the area of an object is number of square units or square grids inside the shape.

Answer:

D.

Step-by-step explanation:

What is the quotient of 7.584 x 10^9 and 7.9 x 10^ 2 expressed in scientific notation?

Answers

Answer:

9.6 × 10  6

Step-by-step explanation:

(7.584 × ) ÷ (7.9 × 10²)

This gives;

×    = 0.96 ×

Simplifying further gives;

9.6 ×  = 9.6 ×

Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x

Answers

Answer:

-9x+20

Step-by-step explanation:


HELP PLSSS ANSWER IS D
STEPS PLS
I WILL GIVE BRAINLEST !!!

Answers

Answer:

2yz/x

Step-by-step explanation:

Given: z/4=x/y

Let's isolate 4 since 8=4(2) which means after isolating 4 we just need to multiply that resulting equation by 2.

Cross multiply:

zy=4x

Divide both sides by x:

zy/x=4

Multiply both sides by 2:

2zy/x=8

maths
class 8th
give answers

Answers

Answer:

8/9 + -8/9 = 0

[2^-1 + 3^-2 + 4^-3]^0 = 1

Write this as an algebraic expression:

You have $100 and make $25 a day

Answers

Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk​

Answers

Answer:

78 meter 360meters 600 meters

Select the best answer for the question.
13. What's the sum of 25 and 24?
A. %10
B.1%20
c.
D. 8/20

Answers

Answer:

Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.

express the following ratio as fraction and reduce them to their simplest form 200 meters : 1.4 kilometre ​

Answers

Step-by-step explanation:

200m:1.4km

200m:1400m

1:7

can someone help me with this one again bc I didn't show the decimal Decimal: 0.44​

Answers

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

solve for y
-10x + 2y =4

Answers

Answer:

y = 5x + 2

Step-by-step explanation:

Add 10x to both sides

2y = 10x + 4

Divide both sides by 2

y = 5x + 2

-3(4x+3)+4(6x+1)43
please solve the problem fully

Answers

Answer and Step-by-step explanation:

First, distribute the numbers outside of the parenthesis to the numbers on the inside.

-12x - 9 + 24x + 4 = 43

Combine like terms.

12x - 5 = 43

Add 5 to both sides.

12x = 48

Divide by 12 on both sides of the equation.

x = 3 <- This is the answer.

#teamtrees #PAW (Plant And Water)

Leave any questions you have, put it in the comments below :)

(-8, -2) and (1, 9) find the slope

Answers

Answer:

11/9

Step-by-step explanation:

To find the slope

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

    = ( 9 - -2)/(1 - -8)

    = ( 9+2)/ (1+8)

    = 11/9

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