1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Free_Kalibri [48]
4 years ago
7

Five times the difference between a number and four is greater than the quotient of four times the number and six. Find the smal

lest integer that will satisfy the inequality
Mathematics
2 answers:
JulijaS [17]4 years ago
8 0
x-\ number\\\\\
5(x-4)>\frac{4x}{6}\ \ \ | multiply\ by\ 6\\\\
30(x-4)>4x\\\\
30x-120>4x\ \ \ \ | subtract\ 4x\\\\
26x-120>0\ \ \ | add\ 120\\\\
26x>120\ \ \  | divide\ by\ 26\\\\
x>\frac{120}{26}\\\\
x>4\frac{8}{13}
Ray Of Light [21]4 years ago
7 0
5 times (5 times) the differnce (-) a number(x) and 4(4) is greater than (>) the quotient (/) 4 times the nmber (4x) and 6 (6)

5(x-4)>4x/6
5x-20>4x/6
treat > as an equals for nnow
multiply both sides by 6
30x-120>4x
divide both sides by 2
15x-60>2x
add 60 to both sides
15x>2x+60
subtract 2x from both sides
13x>60
divide both sdie sby 13
x>60/13
the smalles tnumber is the next number bigger then 60/13
You might be interested in
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU B
riadik2000 [5.3K]

Answer:

x=20; y=50 or (20, 50)

Step-by-step explanation:

Substitution means plugging in one variable's value that consists of the opposite variable. Because y=3x-10 is already specified, you can plug it into the second equation's y value. After doing that, it looks like this:

-4x+2y=20→-4x+2(3x-10)=20

Then you would distribute the 3 across the parentheses next to it, like this:

-4x+2(3x-10)=20→-4x+6x-20=20

Then, add like terms, like this:

-4x+6x-20=20→2x=40

Then divide both side by 2 to isolate x.

x=20

Now, you can plug 20 (x) into either equation, but the first one seems simpler so you would pick that. It would look like this:

y=3x-10→y=3(20)-10

Solving would look like this:

y=3(20)-10→y=60-10→y=50

So the answer is x=20; y=50 or (20, 50).

6 0
3 years ago
Read 2 more answers
Which of the following is NOT possible? A = A triangle where one angle measures 20 degrees and another angle measures 45 degrees
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

the angle measures of triangles must add up to 180 degrees. Since we are only given two angles, we can assume that all of the answers that add up to be below 180 degrees fulfill this requirement with the third angle. However, answer choice C adds up to 190 degrees on the first two angle, which means that no matter how low the third angle is, it will never add up to 180 degrees.

5 0
3 years ago
Solve C = 2πr (solve for "r")<br> C = 15
Jobisdone [24]
C = 2 pi r

but c = 15

15 = 2 pi r
15 = 2 * (22/7) * r
r = (15*7) / 2 / 22
r = 2.386
6 0
3 years ago
Read 2 more answers
X – y ≥ -4. <br> 2x – y ≤ 5. <br> 2y + x &gt; 1
Katen [24]
I took a picture of the work instead ^^

4 0
3 years ago
Josh takes a load of dress shirts to the dry cleaners. The amount he pays for dry cleaning (f) is given by the equation , where
poizon [28]
Sir your probably gunna report this but i have no equation if you could kindly provide the information I requested i would be happy to answer you question
8 0
2 years ago
Other questions:
  • Solve for "x" in the circle shown in the illustration below?
    10·1 answer
  • Tom is going to build a fence around his garden which is a rectangle measuring 8m by 12m. He will put in post which will be 4m a
    12·1 answer
  • Find element a13 of matrix A, if A=
    5·1 answer
  • The height of a statue is 320 feet. Nicole, who is standing next to the statue, casts a 6 foot shadow and she is 5 feet tall. Ho
    10·1 answer
  • Worth 30 points...Use the frequency table to determine how many students received a score of 80 or better on an
    10·1 answer
  • Can someone help me plz
    5·1 answer
  • Anmol got 60 marks out of 80 marks in mathematics what percent marks did he get​
    13·1 answer
  • Ron has five books on chemistry. He wants to mail the books. He weighs the books. Which unit should he use to measure the weight
    12·1 answer
  • create a tangent to a circle. (use your digital tool, compass, or a loose sheet of paper to help you keep your lines and points
    6·1 answer
  • Question:<br> 6x + 2 = 2x + 10
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!