Solve for x. 6/x+ 2/5 = 8
Answer:
15/19
Step-by-step explanation:
6/x +2/5 = 8
(multiply through by x)
6 + 2x/5 = 8x
(minus 8x from both sides)
-38x/5 + 6 = 0
(subtract 6 from both sides)
-38x/5 = -6
(times by -1)
38x/5 = 6
Times 6 by 5 and then divide by 38.
=15/19
[tex]\pink{\bigstar}[/tex] Value of x [tex]\large\leadsto\boxed{\tt\purple{\dfrac{15}{19}}}[/tex]
• Given:-[tex]\sf \dfrac{6}{x} + \dfrac{2}{5} = 8[/tex]⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-Value of x.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = 8 - \dfrac{2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking L.C.M:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{40-2}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf \dfrac{6}{x} = \dfrac{38}{5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Cross multiplying:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 6 \times 5 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 30 = 38 \times x[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Taking x term one side:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{30}{38}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Simplifying the fraction:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\large{\bold\red{x = \dfrac{15}{19}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, value of x is 15/19.
1. What is the spinning mo tion of the earth called? = rotation
Answer:
Rotation and Revolution are two motions of the earth.
Step-by-step explanation:
The description is in the image below:
can 2x-15 be factored
PLEASE HELP ME WITH THE FIRST QUESTION ASAP!!
Answer:
11
Step-by-step explanation:
In long division what is 246/8
Answer:
the answer is 30.75 or 30 1/4
Step-by-step explanation:
8 can't go into 2 so 8 will go into 24
8 can go into 24 3 times thats our first digit
then multiply 8 times 3 you will get 24 write that under 24
then subtract 24 from the original 24 you will get 0
bring down the 6 to where the 0 is try to divide 8 into three
because you can't u will add a 0 next to the three
that is how you get the 30
thats as much as I know sorry I used the calculator
the hare ran a total of 80ft in about 4 minutes. what was his unit rate in minutes?
Step-by-step explanation:
divide 80 by for answer. number feet oer minute
Hope pays $126 for 6 theater tickets. How much would 14 theater tickets cost?
Answer:
294
Step-by-step explanation:
126 / 6 = 21
21 x 14 = 294
The distance you travel while hiking is a function of how fast you hike and how long you hike at this rate. You usually maintain a speed of three miles per hour while hiking. Wow a statement that describes how the distance that you travel is determined. Then identify the independent and dependent variables if this function.
Answer:
The maintained speed while hiking= 3 miles per hour
Let t be the time which represent the independent variable.
Also we know that Distance= Speed × Time
⇒ Distance traveled while hiking=3 ×t=3t
Let h represent the distance function in miles, and h(t) the dependent variable.
Then h(t)=3t
When we put t=4
Then h(4)=3×4 =12 miles.
Step-by-step explanation:
25 feet
6 feet
9 feet
Answer:
there is not enough info
Step-by-step explanation:
What's the area of this right triangle?
Answer:
168 or 56
Step-by-step explanation:
if £2000 is placed in a bank account that pays 3% compoud interest each year , how much will be in the account after 2 years
Answer:
£2060
Step-by-step explanation:
If the bank pays then you are earning.
3% of 2000 = 60
2000 + 60 = 2060
Seana and Mikayla sold tickets to the school play. Seana sold 3 adult
tickets and 2 student tickets for $84. Mikayla sold 2 adult tickets and
5 student tickets for $100. How much did a student ticket cost?
A. $12
B. $20
C. $36
D. $44
What is the estimated weight of three containers weighing 1.656 kg each?
the anwser is
Step-by-step explanation:
the anwser is 5 kg
Eight girls share 7 sandwiches equally. How many sandwiches does each girl get
Answer:
each girl get 1 sand witch and 14 quarters
Step-by-step explanation:
Help me please will mark brainlist!
Answer:
Use d e s m o s graphing calculator
Step-by-step explanation:
Answer:
y = 1/3 x - 2
Step-by-step explanation:
the slope is 1/3, so make sure that you go up one, to the right 3. Start at -2 and then go from there. hopefully this helped :)
All things algebra triangle angle sum theorem
Answer:
The three angles of a triangle always add up to 180°.
That's basically all there is to it. I know this was pretty short but I hope it helps. :)
Answer:
The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.
Step-by-step explanation:
(hope this helps :P)
Mr. Brown has 14 purple,6 blue, 10 orange face masks. What is the probability that, if selected at random. Mr. Brown will pick one of his blue face mask to wear?
Answer:
im pretty sure this is right its a 6/30 chance he would pick blue
Step-by-step explanation:
Need help ASAP Will mark u brainlyest
answer number 3
Answer:
Sub the values for x and y into the equations.
Step-by-step explanation:
x = 2
y = 1
Y = 2x - 3
1 = 2(2) - 3
1 = 4 - 3
1 = 1
Y = -½x + 2
1 = -½(2) + 2
1 = - 1 + 2
1 = 1
Instructions: Find the missing length
Answer:√20
Step-by-step explanation:
The missing side length of the right triangle is or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,
Convert 14/3 into a mixed number
Answer:
4 2/3
Step-by-step explanation: the four is on the side and 2 is over 3
Answer:
4 and 2/3
Step-by-step explanation:
3/3= 1 whole
14/3 - 3/3 =11/3 - 3/3= 8/3 - 3/3= 5/3 - 3/3= 2/3
No more 3/3, or 1 whole, can be subtracted, so you add the number of 3/3, or 1 whole, that you subtracted, which adds up to 4 wholes, and then you add the 2/3, which would equal 4 and 2/3.
Make x the subject of y=x/3
This simply means moving everything possible thing off x and isolate it.
y=x/3
We see x is stuck with a divide by 3 so we need to get rid of that by multiplying by 3 on both sides.
y*3=x/3*3
switch left and right side and simplify
x=3y
Done! as simple as that.
How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?
Answer: A=3.6
Step-by-step explanation: let A= # of gallons of 30% solution of alcohol
.3A+60(.14)=.2(60+A)
.3A+8.4=12+.2A----->subtract .2A and 8.4 from each side highlight%28A=36%29 gallons of 30% solution of alcohol
Select all expressions that are equal to 64 3/2
Which graph represents an exponential function?
Answer:
the second one is the exponential function
What is the equivalent expression for 6(12-3b)?
Answer:
72-18b
Step-by-step explanation:
HELP PLS <3 I’m trying to answer this but I don’t understand what goes where pls help !
Two trains, Train A and Train B, weigh a total of 196 tons. Train A is heavier than Train B. The difference of their weights is 26 tons. What is the weight of each train?
Answer:
a. A = 111 tons
b. B = 85 tons.
Step-by-step explanation:
Let the weight of the heavier train be A.
Let the weight of the other train be B.
Translating the word problem into an algebraic equation, we have;
A + B = 196 tons .......equation 1
A - B = 26 .......equation 2
A = 26 + B .........equation 3
Substituting eqn 3 into eqn 1, we have;
26 + B + B = 196
2B = 196 - 26
2B = 170
B = 85 tons.
To find A, using eqn 3;
A = 26 + B
A = 26 + 85
A = 111 tons
Can you help me on question 12?!
Answer: A
Step-by-step explanation: because it has the same numbers like it says Sam rented 1,2,3,4 and 5 it has it in A and it says five moths it has it in A
What is the vertex of the parabola represented by y = - x^2 + 6x – 5?
Answer: (3,4)
Step-by-step explanation:
write an equation that models this situation. Each of the 24 students in Mr. Shaws homeroom sold 10 tickeys to a sports event. How many tickets were sold in the homeroom
Answer:
24*10
Step-by-step explanation: