What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.

Answer:

A

Step-by-step explanation:

Given

6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

Answer:

0.000055

Step-by-step explanation:

Given that:

Percentage of free ice cream Given last year = 3.8%

From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038

Hence,

Probability of selecting a customer who received free Ice cream = 0.038

Hence, if 3 people are picked randomly from last year who received free ice cream:

(0.038 * 0.038 * 0.038) = 0.000054872

= 0.000055 ( to 6 decimal places)

Answer:

Step-by-step explanation:

The measure of angle BCD is 22 degrees

The measure of angle DCE is 158 degrees

The measure of angle BCF is 158 degrees

The measure of ECF is 22 degrees

Answer:

BCD = 22

DCE = 158

BCF = 158

ECF = 22

Step-by-step explanation:

first one is alternate interior angles

second one is 180 - 22

third one is congruent to second one

last one is congruent w/ BCD

Answer: 8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 1/2d to both sides.

Step 3: Add 23/3 to both sides.

Step 4: Multiply both sides by 6/5.

d=8

Answer:

Most likely the answer hope this helps :P

Step-by-step explanation:

1= 10

2= 20

5 = 50

8 = 80

X = 100

Answer:

21 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.

The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.

98 - 10 = 88

Answer:

no solution

Step-by-step explanation:

-3(k+5)>-7-3k

Distribute

-3k -15 > -7-3k

Add 3k to each side

-3k+3k -15 > -7-3k+3k

-15 > -7

This is not true so there is no solution

Answer:

599

Step-by-step explanation:

uh just subtraction

Answer:

599

Step-by-step explanation:

689-90=599

Thats pretty sad...

Answer:

x= 3, y= 8

or x= -1, y= 0

Step-by-step explanation:

y= 2x² -2x -4 -----(1)

y -2x= 2

y= 2x +2 -----(2)

Substitute (1) into (2):

2x² -2x -4= 2x +2

2x² -2x -4 -2x -2= 0 (bring all terms to the left)

2x² -4x -6= 0 (simplify)

x² -2x -3= 0 (÷2 on both sides)

(x -3)(x +1)= 0 (factorise)

x -3= 0 or x +1= 0

x= 3 or x= -1

Substitute into (2):

y= 2(3) +2 or y= 2(-1) +2

y= 6 +2 or y= -2 +2

y= 8 or y= 0

Answer:

x=54º

Step-by-step explanation:

So the angle is a 90º angle because of that square so you subtract 36 by 90 which will become 54

Hope this helps!

Answer:

x= 54º

Step-by-step explanation:

Let's break this down...

First, you have to look at the whole angle and if you are lucky you find a square.

The square is always equal to 90º

So to find x you need to subtract 90 and 36 which is 54

Hope this helps!

Answer:

The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)

Step-by-step explanation:

When conducting a 180 degree rotation, you can just reverse the points to get your answer.

The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.

Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph

here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.

Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ5

Answer:

this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.

Step-by-step explanation:

X=adults

Y=children

I only know to make these two equations from experience doing these types of questions.

X+Y=800

7X +5Y=4600

there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract  the 2nd  from that whole equation.

7(X +Y=800)

7X +7Y = 5600

-(7X +5Y =4600)

0X +2Y = 1000

Y  = 500   ( 500 children went to the movies )

by inspection  you can probably see that 300 adults had to go too

500 kids

300 parents

also that's 4600 dollars to let those people in

7(300) + 5(500) = 4600

2100 + 2500 = 4600

Answer: −

1

4

1

5

+

−

2

3

+

3

Step-by-step explanation:  because im smart and ty for the points mate or girly girl

Answer:

2 months

Step-by-step explanation:

The selling price of the sweater = 0.5 x $20 = $30

For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6

After the first month, price is reduced by $30 - $6 = $24

After the second month, price is reduced by $24 - $6 = $18

Answer: 2 months

Step-by-step explanation: daddy long legs is smart

Answer:

-8.72811548...   i think

Step-by-step explanation:

a² + b² = c²

8.3² + 2.7² = c²

68.89 + 7.29 = c²

76.18 = c²

√76.18, -√76.18 = c

c = 8.72811548…, −8.72811548…

I think because it's depression, it's -8.72811548...

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total  number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

Answer:

1/2

Step-by-step explanation:

Given:

Price of  gold in 2001 = (0.5x+300)

Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

To find:

An expression for the price of gold per ounce in 2016.

Solution:

We have,

Price of  gold in 2001 [tex]= (0.5x+300)[/tex]

Its price tripled in 2008.

Price of  gold in 2008 [tex]= 3(0.5x+300)[/tex]

Then doubled in 2011.

Price of  gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]

In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.

Price of  gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]

                                    [tex]=2\times 2(0.5x+300)[/tex]

                                    [tex]=4(0.5x+300)[/tex]

                                    [tex]=4(0.5x)+4(300)[/tex]

                                    [tex]=2x+1200[/tex]

Therefore, the required expression for the price of gold per ounce is (2x+1200).

Answer:

$2.75 because if you was to divide 22 by 8 you would get 2.75 , then to check your answer you would multiply 2.75 by each number by it and check the graph.

Step-by-step explanation:

Answer:

3b+b and 2(2b)

Step-by-step explanation:

BRAINLIEST APPRECIATED!

THANKS!

Answer: 1/10

Step-by-step explanation:

2/5 x 1/4= 1/10

keep, change, flip

Answer: x=-1

5x+9=4

-9       -9

_______

5x= -5

/5    /5

x= -1

[tex]\huge{\boxed{\sf{x=-1}}}[/tex]

[tex]\huge{\pink{Given \: Equation:}}[/tex]

Step 1:

[tex]5x + 9 = 4[/tex]

Step 2:

[tex]⇒5x = 4 - 9[/tex]

Step 3:

[tex]⇒5x = - 5[/tex]

Step 4:

[tex]⇒x = \frac{ - 5}{5} [/tex]

Step 5:

[tex]⇒x = - 1✓[/tex]

[tex]\huge{\blue{Verification:}}[/tex]

Step 1:

[tex]5x+9=4.[/tex]

Step 2:

[tex]⇒5 \times - 1 + 9 = 4[/tex]

Step 3:

[tex]⇒ - 5 + 9 = 4[/tex]

Step 4:

[tex]\red{⇒4 = 4}[/tex]

[tex]\huge{†Hence \: Vertified†}[/tex]

Answer:

y=10x+4

Step-by-step explanation:

Answer:

y=10x+4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

M is the midpoint of AB. That means that 2 binomials are equal.

4n - 40 = 7* (-2n + 2)                Remove the brackets

4n - 40 = - 14n + 14                   Add 14n to both sides

4n+14n - 40 = -14n+14n + 14     Combine

18n - 40 = 14                             Add 40 to both sides

18n = 14 + 40                           Combine

18n = 54                                   Divide by 18

18n/18 = 54/18                          Combine

n = 3

Answer:

I believe the answer is the first one A

Step-by-step explanation:

If you do this will construct the perpendicular bisector for AB.

Answer:

iT IS A

Step-by-step explanation:

Answer:

x-intercepts is (4,0)

y -intercepts is (0,-2)

Step-by-step explanation:

Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)

The slope intercept of a line is given by the equation y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point  in the given slope intercept form and find c.

For finding x - intercept, put y = 0 in the equation and find value of x.

Given line -4x +8y = -16

Then add 4x both sides , we get

⇒4x+4x +8y = -16+4x

⇒ 8 y = 4x -16

Divide both sides by 8

⇒ y = (4/8) x - (16/8)

⇒ y = (1/2)x -2

Comparing this equation with y =mx+c

⇒ c =-2

Put y = 0 in the equation y = (1/2)x -2

⇒ 0 = x/2 -2

⇒2 = x/2

⇒4 =x

Therefore x- intercept is (4,0) and y - intercept is (0,-2)

Also, learn more about the slope intercept form from the link below:

brainly.com/question/9682526

#SPJ2

Answer:

The Ans Is 2:3

Step-by-step explanation: