Answers
Given:
The equation is
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
To find:
The simpler equivalent form and solve the given equation.
Solution:
We have,
[tex]\dfrac{3x}{7}+\dfrac{2}{7}=2[/tex]
It can be written as
[tex]\dfrac{3x+2}{7}=2[/tex]
Multiply both sides by 7.
[tex]3x+2=14[/tex]
[tex]3x=14-2[/tex]
[tex]3x=12[/tex]
Divide both sides by 3.
[tex]x=\dfrac{12}{3}[/tex]
[tex]x=4[/tex]
Therefore, the simpler equivalent form of the given equation is [tex]3x+2=14[/tex] and the solution is x=4.
Related Questions
Anyone know this answer? Will give brainliest if correct
Answers
Answer:
use photomath
Step-by-step explanation:
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answers
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
A car was reduced in price by 13% to £17400 what was original price
Answers
Which event leads to Mio regaining her confidence?
A.
She notices a look on her mother's face that helps her feel prepared.
B.
Her brother gives her an encouraging look that boosts her confidence.
C.
She recalls the times when her mother prepared her for the ceremony.
D.
The smell of the matcha tea reminds her that she was always ready.
this is language arts by the way and im in 8th grade
Answers
Answer:
B.
Step-by-step explanation:
It says that when her brother gives her an encouraging look, it boosts her confidence. So, I would assume it'd be that one.
Answer:
C.
She recalls the times when her mother prepared her for the ceremony.
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answers
20/2 is 10
The number is + or - 23
So 13 and 33
13
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
Which value of x makes the value of the expression x - 11.5 a negative number?
Answers
Answer:
11
Step-by-step explanation:
The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.
a withdrawal of 225 what is the integer
Answers
Answer:
-225
Step-by-step explanation:
A withdraw means taking out -225 dollars
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
A tube of toothpaste is marked $3.92 for 8 ounces. What is the price per ounce?
Answers
Answer:
$0.49
Step-by-step explanation:
If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =
$0.49
Graph the numbers that are solutions to x+7>9 and 8x≤64.
Answers
Answer:
2 to 8 and 8 to -2
Step-by-step explanation:
Solution to these set of inequalities is : 2 < x < 8
Important Information
x + 7 > 9
x > 9 - 7
x > 2
8x < 16
x < 16/2
x < 8
So, numbers that satisfy the conditions that 2 < x < 8 are solutions to this set of inequalities.
To learn about inequalities' equations solving, refer https://brainly.com/question/11897796?referrer=searchResults
3(s +1) = 33
What is the value of s?
Answers
Answer: the value would be 3
Step-by-step explanation:
I did the worksheet for math!
Answer: s = 10
Step-by-step explanation:
3(s + 1) = 33
I 3 x s = 3s I 3 x 1 = 3 I
3s + 3 = 33
- 3 - 3
__________
3s = 30
/3 /3
s = 10
PLEASE HELP ASAP
The table shows values for functions f(x) and GX(x) what is the solution to f(x) = g(x)
Answers
OMG HELP MEEEEEEEeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
78
Step-by-step explanation:
*6 on both sides
13*6=d/6*6
Brian has saved five dollars in dimes quarters and half dollars she finds that she has 30 coins all together and there are four times as many quarters as there are half dollars how many dimes does Brian have
Answers
9514 1404 393
Answer:
20 dimes8 quarters2 half-dollarsStep-by-step explanation:
Let d, q, h represent the numbers of dimes, quarters, and halves Brian has. We can write 3 equations in these 3 variables:
10d +25q +50h = 500 . . . . value of the coins, in cents
d + q + h = 30 . . . . . . . . . . . total number of coins
4h = q . . . . . . . . . . . . . . . . . four times as many quarters as halves
Using the last equation to substitute into the other two, we get ...
10d + 150h = 500
d +5h = 30
The second equation can be written as ...
5h = 30 -d
and the first can be written to facilitate substitution:
10d +30(5h) = 500
10d +30(30-d) = 500 . . . . . substitute for 5h
900 -20d = 500 . . . . . . . . . simplify
400 = 20d . . . . . . . . . . . . . add 20d-500 to both sides
d = 20 . . . . . . . . . . . . . . . . divide by 20
Brian has 20 dimes.
Determine the average rate of change from x = 0 to x = 4
Answers
Answer:
I'm super bad at math sowy!!!
Step-by-step explanation:
\(T T)/
A rectangular prism has a base with an area of 13 square units and a volume of
109.2 cubic units. The equation shown gives the height, h, in units, of the prism.
13h = 109.2
What is the height, in units, of the prism?
Answers
Answer:
Isolate the variable and simplify.
Step-by-step explanation:
13h = 109.2
h = 109.2 ÷ 13
h = 8.4
Your answer would be 8.4 units.
Don't forget units! :)
Please help will give Brain
Answers
If D varies directly with t and D is 105 when t is 3, find D when t is 8.
Answers
Answer:
280
Step-by-step explanation:
answer is 280
Answer:
answer is 280
Step-by-step explanation:
d=xt
105=x3
35=x
d=35*8
d=280
16 cm 44.2 cm in percent
PLSS HELP!!
Answers
HELP WILL GIVE BRAINLIEST Triangle QRS and triangle WXY are similar. Which statement must be true?
Answers
Answer:
C.
Step-by-step explanation:
This is correct because the triangles are similar. Angle S is similar to Angle Y, and Angle R is similar to Angle X.
None of the others can be correct either.
Hope it helps!
PLEASE HELP!!!
Write a simplified equation to solve for X.
Using the equation, solve for x
Answers
Answer:
x = 40
Step-by-step explanation:
x + 100 + x = 180 {Straight line angles}
2x + 100 = 180 {subtract 100 from both sides}
2x = 180 - 100
2x = 80 {Divide both sides by 2)
x = 80/2
x = 40
Answer:
x=40
Step-by-step explanation:
2x+100=180
2x=180-100
2x=80
x=40
Enter the value for x that makes the equation ž (4x – 8) + 3x = 36 true.
Answers
X=44/7
Step-by-step explanation:
4x-8+3x=36
7x-8=36
7x=36+8
7x=44
X=44/7
helppppppppppppppppppppppppppppppp
The volume of a cylinder is 72 71 cm. If the radius is 3 cm, what is the height of the cylinder?
0
3 cm
0
0
0
O A. 4 cm OB. 8 cm O C. 12 cm O D. 24 cm
0
0
Answers
Answer: 8 cm
Step-by-step explanation: 3^2 = 9 So, 72/9 = 8
Given the functions f(x) = x ^ 3, g(x) = 9 and h(x) = 2x , what is an expression equivalant to f(2x) + 3g(x)/h(x) + 3?
Answers
Answer:
an expression equivalent to f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
Step-by-step explanation:
As given ,
f(x) = x³ , g(x) = 9 , h(x) = 2x
Now,
f(2x) = (2x)³ = 2³.x³ = 8x³
⇒f(2x) = 8x³
Now,
[tex]\frac{g(x)}{h(x)} = \frac{9}{2x} = \frac{9}{2}x[/tex]
⇒[tex]3\frac{g(x)}{h(x)} = 3.\frac{9}{2}x = \frac{27}{2}x[/tex]
∴ we get
f(2x) + [tex]3\frac{g(x)}{h(x)}[/tex] + 3 = 8x³ + [tex]\frac{27}{2}x[/tex] + 3
xis directly proportional to y.
When x=21, then y=3.
a) Express x in terms ofy.
b) Find the value ofx when y is equal to 10.
Answers
21 = k x 3
k = 7
x = 7y
x = 7(10)
x = 70
The first snack is 270 calories for 3 servings, and the second snack is 450 calories How many servings does the snack have to have in order to equivalent to the first snack?
Answers
Answer:
5 servings
Step-by-step explanation:
Given that:
For a particular first snack to be = 270 calories;
the servings = 3
Then, for the second snack, the calories = 450.
To estimate the servings for the second snack; we need to equate the first snack with the second snack.
Let y be the value of the unknown second snack
Then:
270 calories = 3 servings
450 calories = y servings
y servings = (450 calories × 3 servings) / 270 calories
y servings = 5 servings
Thus; the second snack needs to have 5 servings in order to be equivalent to the first snack
A square pyramid is sliced in half, parallel to the base.
Which of the following statements describes the cross-section?
A triangle with the same height as the pyramid
A square that is smaller than the base
A square that is congruent to the base
A trapezoid that is shorter than the pyramid
Answers
Answer:
I think the answer is a because it not getting any smaller
Answer:
I think a trapezoid that is shorter than the pyramid because it's parallel to the base which automatically know it's not the same height because there's a certain length thats cut off.
Step-by-step explanation:
helpppppppppppppppppppppppp WILL MARK BRAINLIST
Answers
-(-7)^2 + 8(-7)
= -49 -56
= -105
Find the nth term of the sequence
0, 5, 14, 27, 44......
Answers
Answer:
aₙ = 2*n*n - n -1
Step-by-step explanation:
a₁ = 0
a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5
a₃ = 2*3*3 -3-1 = 18-4 =14
a₄ = 2*4*4 - 4-1 = 32-5 =27
......
aₙ = 2*n*n - n -1
Only hash channel catfish typically was about 0.06 g during the first six weeks of life at weight increase about 10% each day right a exponential model for the weight how much will the catfish gain weight after six weeks
Answers
Answer:
3.225 gram
Step-by-step explanation:
Given that :
Initial weight = 0.06g
Rate of increase, r = 10% = 0.1 per day
Weight gain after 6 weeks
For an exponential model. f(x)
f(x) = a(1 + r)^x
Where ; a = initial amount ; r = growth rate ; x = period
Our model becomes :
f(x) : 0.06(1 + 0.1)^x
f(x) = 0.06(1.1)^x
Number of days in 6 weeks = 6*7 = 42 = x
f(42) : 0.06(1.1)^42
= 3.285 gram
Hence, weight gain after 6 weeks :
(3.285 - 0.06) g = 3.225 gram