solve the equation. choose the answer in simplest form. 4x= 8/7 (A) 1/28 (B) 1/7 (C) 2/7 (D) 7/2
2 months ago
Solution 1
2 months ago
4x=8/7
x=(8/7)÷4
x=2/7
x=(8/7)÷4
x=2/7
Solution 2
2 months ago
4x = 8/7
/4 /4
x = (8/7)/4 (Keep, change, flip)
x = 8/7 * 1/4
x = 8/28
x = 2/7
/4 /4
x = (8/7)/4 (Keep, change, flip)
x = 8/7 * 1/4
x = 8/28
x = 2/7
📚 Related Questions
Question
The width of a rectangle is twice it’s height if the perimeter is 54 inches find the area
Solution 1
The area is 162.
You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.
You can get this by solving for the sides. One side will be 9 and the other will be 18. This is because the perimeter must be 6x since one side is x and the other would be 2x.
Solution 2
Let the height be x.
⇒ Height = x
The width of a rectangle is twice it’s height.
⇒ Width = 2x
Perimeter = 54
⇒2 (x + 2x) = 54
Solve x:
2 (x + 2x) = 54
Combine like terms:
2 (3x) = 54
Distribute 2:
6x = 54
Divide both sides by 6:
x = 9
Height = x = 9
Width = 2x = 2(9) = 18
Area = 9 x 18 = 162 in²
Answer: 162 in²
⇒ Height = x
The width of a rectangle is twice it’s height.
⇒ Width = 2x
Perimeter = 54
⇒2 (x + 2x) = 54
Solve x:
2 (x + 2x) = 54
Combine like terms:
2 (3x) = 54
Distribute 2:
6x = 54
Divide both sides by 6:
x = 9
Height = x = 9
Width = 2x = 2(9) = 18
Area = 9 x 18 = 162 in²
Answer: 162 in²
Question
What is the length of the diagonal of a square with 8 foot sides?
Solution 1
Using the Pythagorean Theorem,
a² + b² = c²
c² = 8² + 8²
c² = 64 + 64
c² = 128
c = √128
c =8√2 (radical form) or 11.31 feet (nearest hundredth)
Answer: 11.31 feet
a² + b² = c²
c² = 8² + 8²
c² = 64 + 64
c² = 128
c = √128
c =8√2 (radical form) or 11.31 feet (nearest hundredth)
Answer: 11.31 feet
Question
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open.
Solution 1
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7
ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add
25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add
437.143+64.2856=501.429
so aprox 501.429
the real equation is![[(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours](https://tex.z-dn.net/?f=%5B%28%5Cfrac%7B1%7D%7B7%7D%29%28n%29%2815%29%5D%2B%5B%20%28%5Cfrac%7B6%7D%7B7%7D%29%20%28n%29%2817%29%5D%3Dhours "[(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours")
where n represents the number of days in the month
apros 501.429
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7
ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add
25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add
437.143+64.2856=501.429
so aprox 501.429
the real equation is
apros 501.429
Question
How do i solve 3 (2y-4)=8y+9-9y
Solution 1
3(2y - 4) = 8y + 9 - 9y
Distribute 3:
6y - 12 = 8y + 9 - 9y
Combine like terms:
6y - 12 = -y + 9
Add y to both sides:
7y - 12 = 9
Add 12 to both sides:
7y = 21
Divide both sides by 3:
y = 3
Distribute 3:
6y - 12 = 8y + 9 - 9y
Combine like terms:
6y - 12 = -y + 9
Add y to both sides:
7y - 12 = 9
Add 12 to both sides:
7y = 21
Divide both sides by 3:
y = 3
Solution 2
The first step for solving this equation is to distribute 3 through the parenthesis.
6y - 12 = 8y + 9 - 9y
Collect the like terms with y.
6y - 12 = -y + 9
Move the variable to the left side and then change its sign.
6y + y - 12 = 9
Now move the constant to the right side and change its sign.
6y + y = 9 + 12
Add the terms on the left side of the equation.
7y = 9 + 12
Add the numbers on the right side.
7y = 21
Lastly,, divide both sides of the equation by 7 to find your final answer.
y = 3
This means that y = 3 is the correct answer to your question.
Let me know if you have any further questions.
:)
6y - 12 = 8y + 9 - 9y
Collect the like terms with y.
6y - 12 = -y + 9
Move the variable to the left side and then change its sign.
6y + y - 12 = 9
Now move the constant to the right side and change its sign.
6y + y = 9 + 12
Add the terms on the left side of the equation.
7y = 9 + 12
Add the numbers on the right side.
7y = 21
Lastly,, divide both sides of the equation by 7 to find your final answer.
y = 3
This means that y = 3 is the correct answer to your question.
Let me know if you have any further questions.
:)
Question
the temperature last night was 10 degrees below 0. The next morning by 9 a.m. the temperature had risen 12 degrees. what was the temperature at 9 a.m.?
Solution 1
It was 2 degrees.................................................................................................................................................................................
Solution 2
It was two degrees at 9am
Question
Data: (12 ,8 , 6 , 12 , 16 , 12 ) median ............. mode......
Solution 1
Ascending order= 6, 8, 12, 12, 12, 16
No of observations (n) = 6
Median = Mean of the values of (n/2) and (n/2+1)
= Mean values of 3rd and 4th values
= 12+12/2
= 12
Therefore, median = 12
Mode = Most number of observations= 12
No of observations (n) = 6
Median = Mean of the values of (n/2) and (n/2+1)
= Mean values of 3rd and 4th values
= 12+12/2
= 12
Therefore, median = 12
Mode = Most number of observations= 12
Solution 2
Your data is (12,8,6,12,16,12) for median and mode you take the least to greatest. Median = Middle So you take the Middle number your data table should look like this: (6,8,(12,+12),12,16) so the median is 12+12/How many numbers that are in the middle so you get the number 12.
For the mode just Think Mode is Most Whatever number that is the most in the Data (6,8,12,12,12,16) so 12 is the mode for the answer. and 12 is the median. Hope this Helps
For the mode just Think Mode is Most Whatever number that is the most in the Data (6,8,12,12,12,16) so 12 is the mode for the answer. and 12 is the median. Hope this Helps
Question
20 divided by X is 100, what does X equal?
Solution 1
20/ X= 100
⇒ X= 20/100 (inverse operation)
⇒ X= 1/5
Final answer: X= 1/5
⇒ X= 20/100 (inverse operation)
⇒ X= 1/5
Final answer: X= 1/5
Question
The town of Springfield, USA has a population of 9900 people. The population is growing at a rate of 2.3%, each year. Which expression gives the population 7 years from now?
Solution 1
The expression would be: 9900(1.023)^7
This is an example of an exponential equation. They are in the form y = ab^x. A is the starting value and b is the rate of change.
The rate is 1.023 because we are adding on 2.3% each time.
This is an example of an exponential equation. They are in the form y = ab^x. A is the starting value and b is the rate of change.
The rate is 1.023 because we are adding on 2.3% each time.
Solution 2
Answer:
the answer above but the exponent is 5
Step-by-step explanation:
Question
11499 round to the nearest thousand
Solution 1
You forgot to put the decimal in there so i could round it
Solution 2
The answer would be 11000.
Question
What is the difference between volume surface area and area
Solution 1
Answer: Surface area is just what you can see. The outer part. The area is the whole thing. Even the inside, not just what you can see.
Explanation/Reasoning:
Surface area is the outside layer, or the uppermost part. It is what surrounds it. The area is the whole thing. Even what you cannot see.
-DustinBR
Explanation/Reasoning:
Surface area is the outside layer, or the uppermost part. It is what surrounds it. The area is the whole thing. Even what you cannot see.
-DustinBR
Solution 2
The area is the same as the surface area.
The volume measures the space inside a solid shape.
The surface area is the "face" of a solid shape. The measurement of the outside of the solid shape.
The volume measures the space inside a solid shape.
The surface area is the "face" of a solid shape. The measurement of the outside of the solid shape.
📂 Subjects
Mathematics
2647929
History
842281
English
748681
Biology
586256
Social Studies
406852
Chemistry
368373
Business
348603
Physics
324927
Health
199835
Spanish
130075
Geography
112100
Computers and Technology
106146
Arts
77164
Advanced Placement (AP)
23675
World Languages
23213
French
22589
Engineering
19607
Law
17108
Medicine
13966
SAT
10987
German
3389
🔢 Grades
High School
3423409
Middle School
2092250
College
1518097