Solve the inequality
22 + 4x - 32 < 0

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

22 + 4x - 32 < 0

            +32    +32

22 + 4x < 32

-22           -22

2x < 10

divide by 2

x=5


Related Questions

1,682 inches rounded to the narest tenth is 1.6 inches? true or falce

Answers

Answer:

False

Step-by-step explanation:

False because that’s just what it is

[tex]1\frac{1}{9}*4\frac{1}{2}+(3\frac{1}{5}-\frac{1}{3} )[/tex]

Answers

Answer:

118/15 or 7.8666666666666666666666666666666666666666666666666666666666666666... decimal

Step-by-step explanation:

Simplify the following:

(1 + 1/9) (4 + 1/2) + 3 + 1/5 - 1/3

Put 1 + 1/9 over the common denominator 9. 1 + 1/9 = 9/9 + 1/9:

9/9 + 1/9 (4 + 1/2) + 3 + 1/5 - 1/3

9/9 + 1/9 = (9 + 1)/9:

(9 + 1)/9 (4 + 1/2) + 3 + 1/5 - 1/3

9 + 1 = 10:

10/9 (4 + 1/2) + 3 + 1/5 - 1/3

Put 4 + 1/2 over the common denominator 2. 4 + 1/2 = (2×4)/2 + 1/2:

10/9 (2×4)/2 + 1/2 + 3 + 1/5 - 1/3

2×4 = 8:

10/9 (8/2 + 1/2) + 3 + 1/5 - 1/3

8/2 + 1/2 = (8 + 1)/2:

10/9 (8 + 1)/2 + 3 + 1/5 - 1/3

8 + 1 = 9:

10/9×9/2 + 3 + 1/5 - 1/3

10/9×9/2 = (10×9)/(9×2):

(10×9)/(9×2) + 3 + 1/5 - 1/3

(10×9)/(9×2) = 9/9×10/2 = 10/2:

10/2 + 3 + 1/5 - 1/3

The gcd of 10 and 2 is 2, so 10/2 = (2×5)/(2×1) = 2/2×5 = 5:

5 + 3 + 1/5 - 1/3

Put 5 + 3 + 1/5 - 1/3 over the common denominator 15. 5 + 3 + 1/5 - 1/3 = (15×5)/15 + (15×3)/15 + 3/15 - 5/15:

(15×5)/15 + (15×3)/15 + 3/15 - 5/15

15×5 = 75:

75/15 + (15×3)/15 + 3/15 - 5/15

15×3 = 45:

75/15 + 45/15 + 3/15 - 5/15

75/15 + 45/15 + 3/15 - 5/15 = (75 + 45 + 3 - 5)/15:

(75 + 45 + 3 - 5)/15

| 1 |  

| 7 | 5

| 4 | 5

+ | | 3

1 | 2 | 3:

(123 - 5)/15

| | 1 | 13

| 1 | 2 | 3

- | | | 5

| 1 | 1 | 8:

Answer: 118/15

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[tex]1 \frac{1}{9} \times 4 \frac{1}{2} + (3 \frac{1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{9 + 1}{9} \times \frac{8 + 1}{2} + ( \frac{15 + 1}{5} - \frac{1}{3} ) = \\ [/tex]

[tex] \frac{10}{9} \times \frac{9}{2} + ( \frac{16 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) = \\ [/tex]

[tex] \frac{9 \times 10}{9 \times 2} + ( \frac{48}{15} - \frac{5}{15} ) = \\ [/tex]

[tex] \frac{10}{2} +( \frac{48 - 5}{15} ) = \\ [/tex]

[tex]5 + ( \frac{43}{15} ) = \\ [/tex]

[tex] \frac{75}{15} + \frac{43}{15} = \frac{118}{15} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Enrique is going to a party this weekend. He is bringing 20 liters of soda to the party. A liter of soda costs $1.59.

How much will Enrique spend on soda?

A, 3.18
B. 27.40
C. 29.60
D. 31.80

Answers

Answer:

31.8

Step-by-step explanation:

Answer:

Enrique spent D. $31.80 on soda.

Given that the following angles are vertical. What is the measure of the missing angle?
(i accidentally clicked 115 ignore that)

Answers

Answer:

65

Step-by-step explanation:

I just need 20 words in my answer oh and it's a vertical angle

geometry lol i don’t know !!!

Answers

Bejeweled w whenever w wnekfkdkkwmwn ddndkkelenen

Answer: 1

Step-by-step explanation:

8x -1 = 4x + 3

-4x    - 4x

4x -1 = 3

     +1  +1

   4x=4

     x=1

please please help i’ll give brainliest tysm :)

Answers

ANSWER: $1.25

Explanation: $7.50 divided by 6


BRAINLIEST please

Answer:

It's the top answer or A.

Step-by-step explanation:

Because if you have 6 avocados for 7.50 just divide without including the decimal point. 750 divided by 6 is 125

include the decimal point in between 1 and 2

boom 1.25

(THIS IS A TEST)
An old wedding photograph, which is rectangular, has a diagonal
length of 13.6 inches and a height of 12 inches. Find the width
of the photograph.

A 25.6 inches
C 4.7 inches
B 6.4 inches
D1.6 inches

Answers

Answer:

13.6 - 12 = 1.6

Step-by-step explanation:

(8+k³-6k⁴)+(4-3k⁴+8k²)​

Answers

(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)

8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²

(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)

(12) + (8k²) + (k³) + (-9k⁴)

12 + 8k² + k³ - 9k⁴

rewrite as difference of squares (2x+5)(2x-5)

Answers

4x^2-25

I got u homie wherever in the world u r

A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently
53,200 employees, how many employees did the company have a year ago?

Answers

9514 1404 393

Answer:

  400

Step-by-step explanation:

If x represents the number of employees a year ago, the current number is ...

  x + 0.33x = 53,200

  x = 53,200/1.33 = 400

The company had 400 employees a year ago.

Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea? i will give 25 points

Answers

Answer:

Zoey is -362 meters from sea level.  She travels another -71 meters (notice the negative because she is now further away from sea level).  She is now -433 meters from sea level.

Step-by-step explanation:

-362 (original elevation) + -71 (distance to new location) = -433 (total elevation)

Answer:

-433

Step-by-step explanation:

Zoey is already 362 below sea level.

Then she descends another 71 meters

So. . .

-362 - 71

This can also be written as -362 + (-71)

-433

Hope this helps :)

Please consider Brainliest :)

In 3 hours Jon can walk 5 miles. At this
same rate, how long can he walk in 5
hours?

Answers

Answer:

8.3 miles

Step-by-step explanation:

In 3 hrs he can walk=5 miles

In an hour he can walk=5/3miles

=1.66 miles

In 5 hours he can walk=1.66*5miles

=8.3 miles

Hope this helps

How do I figure this out?

Answers

I think it is permutation because I asked Siri what it meant and she said...

Someone please help me

Answers

Answer:

$80 + $32x = y

Step-by-step explanation:

80 dollars is mandatory, and will always be charged no matter how many hours the electrician works. The $32 is charged based on how many hours the electrician worked. We don't know how many hours he worked, therefore we put an X next to $32 as a way to remind ourselves to multiply the amount of hours he worked times how much he charges per hour. Y would be the total fee.

32x+80=y

The 80 is an added fee and is NOT constant while the hourly rate goes up by 32 every hour. to get the total you add the hourly rate with the added fee.

HELP PLEASE!

While playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. The ball is located at (5,4) and the hole is located at (9,8). The point where the ball hits the wall is (7,0). Write an equation for the path of the ball and then determine if you will make your putt.

Answers

Answer:

Step 1:

Hit=9,8

Ball=5,4

R=7,0(This will be the hit point)

Step 2:

(Ball)B'=7+(7-5)4=(9,4)

BR: y-4=(0-4)/(7-5)(x-5)→→→→→→→→→→→→y=-2x+14

RB': y-4=(4-0)/(9-7)(x-9)→→→→→→→→→→→→y=2x-14

The ball will not fell into the hole by it's path.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

We will bet an absolute graph here of the path of the ball.

Starting point is where the ball is located is (5, 4).

The ball hits the wall at (7, 0)

Let's find the equation of the line through these points.

It is of the form y  mx + c, where m is slope and c is y intercept .

m = (0 - 4) / (7 - 5) = -2

⇒ y = -2x + c

Substitute (7, 0) in the above equation,

0 = (-2 × 7) + c

⇒ c = 14

The equation of the line is y = -2x + 14.

Since the graph is absolute, the return path of the ball from the wall must have same slope with opposite sign since the line is upwards.

Equation of the line is of the form,

y = 2x + d

Substitute (7, 0) in the above equation,

0 = (2 × 7) + d

⇒d = -14

Equation is y = 2x - 14

Substitute (9, 8) in the equation to check whether the ball will make the putt.

2x - 14 = (2 × 9) - 14 = 18 - 14 = 4 ≠ 8

Hence the ball does not fall into the hole.

To learn more about Slope, click on the link :

https://brainly.com/question/3605446

#SPJ2

please help!!!! im really confused and no one is answering my questions

Answers

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

Find the solution to the following system of equations using the addition method.

2x - y = 5

x + y = 13

(5, 8)
(9, 4)
(6, 7)

Answers

Answer:

Step-by-step explanation:

2x - y = 5

x + y = 13

3x = 18

x = 6

6 + y = 13

y = 7

(6, 7)

Answer:

the answer is (6,7)

Step-by-step explanation:

the first third and sixth terms of an arithmetic sequence are shown. what is the common difference between consecutive terms in the arithmetic sequence 2,_,8,_,_,17,

Answers

Answer:it is going up by 3 each time

Source:trust me bro

look at the picture I really need help understanding!​

Answers

Answer:

I believe it is

1) yes

2) no

3) no

4)no

Step-by-step explanation:

It can only be a solution if you put the x in from the table into the x of the equation and the y in from the same ordered pair into the equation for y and if you get 1 for the fist equation it is a solution but you also have to get 7 for the second equation for it to fully be a solution. Also, you can go to desmos and enter the equations and then substitute the x's and y's... you will have to delete the =1 and =7 in order for the website to tell you what it equals.

Select true statements

Answers

Answer:

the first one and last one are true

Step-by-step explanation:

find the slope of each line

y = 2x - 2

y = 7/3x + 2

2x + y = -5

4x - 5y = -20​

Answers

Answer: first one is  2 second one is not linear the 3rd one is -2 and the 4th one is 4/3

Step-by-step explanation: use the equation y=mx + b u dont have to find anything the slope is already given to you

Find the total area:
8 cm
16 cm
29 cm
22 cm

Answers

Answer: 81, 664 is the total!

Step-by-step explanation:

Help please The actual distance between Apple Street and Pear Road is 8 miles. On a map, the distance is 3.5 inches. What proportion can you form to determine the scale on the map? 1 inch = ?

Answers

Answer:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

Step-by-step explanation:

Represent the actual distance as y and the map distance as x

So:

x = 3.5in when y = 8 miles

Required

Determine the proportion

The proportion of map measurement to actual measurement is:

[tex]x : y[/tex]

This gives:

[tex]3.5\ in : 8\ miles[/tex]

Divide by 3.5

[tex]\frac{3.5\ in}{3.5} : \frac{8\ miles}{3.5}[/tex]

[tex]1\ in: \frac{8\ miles}{3.5}[/tex]

Simplify the fraction

[tex]1\ in: \frac{8 * 2\ miles}{3.5*2}[/tex]

[tex]1\ in: \frac{16\ miles}{7}[/tex]

[tex]1\ in: \frac{16}{7}\ miles[/tex]

This means that:

1 in on the map = [tex]\frac{16}{7}\ miles[/tex] on the street

solve each system using the substitution method 6x-y=-4 and 2x+2y=15

Answers

Convert 6x - y = -4 into y = mx + b
Y - 4 = 6x
Y = 6x + 4
Substitute that into second equation
2x + 2(6x + 4) = 15
2x + 12x + 8 = 15
14x = 7
X = 1/2
6(1/2) - y = -4
3 - y = -4
-y = -7, y = 7
Final answer: x = 1/2, y = 7

A city has 12,575 residents the number of residents grows by 1.6% every year to the nearest whole resident what will the city's population be in 2 years

Answers

Answer:

12981

Step-by-step explanation:

Given that :

Initial number of residents = 12575

Yearly growth rate (r) = 1.6%

Population in 2 years :

Using the relation :

Population in t years P(t) :

P(t) = initial population * (1 + growth rate)^t

t = time

Population in 2 years :

P(2) = 12575 * (1 + 0.016)^2

P(2) = 12575(1.016)^2

= 12575 * 1.032256

= 12980.6192

= 12981

Last month, Amelia and Natalie sold candy to raise money for their debate team. Natalie sold 1/5 as much candy as Amelia did. If Amelia sold 1/2 of a box of candy, how many boxes of candy did Natalie sell? Write your answer as a fraction or as a whole or mixed number.

Answers

i got 1/10 but i’m not sure if it’s correct

150 is 96% of what number TWT

Answers

Answer:

156.25

Step-by-step explanation:

150 ÷ 96%

= 156.25

Answer (Three Different Forms):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Step-by-step explanation:

96% is the same as 0.96, and so this problem can be written algebrically as:

0.96 ⋅ x = 150

Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:

x = [tex]\frac{150}{0.96}[/tex]

Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):

Decimal:

156.25

Fraction:

[tex]\frac{625}{4}[/tex]

Mixed Number:

[tex]156\frac{1}{4}[/tex]

Hope this helps! :)

Help I’m very confused and was wondering if anyone is willing to help.

Answers

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

Help plsss and Idk if you can see the questions or not but if u can't lmk

Answers

A:

y=(oranges, x, for example)/4

B:

1: 1.25

2: 24

To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?

C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w

Answers

Answer:

[tex]C(w) = 5w + 12[/tex]

[tex]C(w) = 12+5w[/tex]

Step-by-step explanation:

Given information:

- Monthly fee of $12

- $5 fee per workout class

- [tex]w[/tex] represents the workout classes taken for a month

- - - -

With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.

Workout fee = [tex]$5w[/tex]

Monthly fee = [tex]$12[/tex]

∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)

Hope this helps :)

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