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Nastasia [14]
2 years ago
13

What is the solution of 5/2-7= 3/4x+14,

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

D) x = 12

Step-by-step explanation:

Given:

\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}

1. Multiply both sides by 4

\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56

2. Subtract 3x from both sides

\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56

3. Add 28 to both sides

\sf{7x-28+28=56+28}\\\\\implies 7x=84

4. Divide both sides by 7 to isolate the variable:

\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12

Learn more here:

brainly.com/question/27844194

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PLZ HELP ASAP SOLID GEOMETRY WORD PROBLEMS
yan [13]
The volume of the candle initially is:
V=Ab*h
Area of the base of the cylinder: Ab=pi*r^2
pi=3.14
Radius of the base: r=4 cm
Height of the cylinder: h=6 cm

Ab=pi*r^2
Ab=3.14*(4 cm)^2
Ab=3.14*(16 cm^2)
Ab=50.24 cm^2

V=Ab*h
V=(50.24 cm^2)*(6 cm)
V=301.44 cm^3

The candle melts at a constant rate of:
r=(60 cm^3)/(2 hours)=(120 cm^3)/(4 hours)=(180 cm^3)/(6 hours)
r=30 cm^3/hour

The amount of candle melted off after 7 hours is:
A=(30 cm^3/hour)*(7 hours)
A=210 cm^3

The percent of candle that is melted off after 7 hours is:
P=(A/V)*100%
P=[(210 cm^3)/(301.44 cm^3)]*100%
P=(0.696656051)*100%
P=69.66560510%
Rounded to the nearest percent
P=70%

Answer: 70%

8 0
3 years ago
The dot product of u with itself is 12. What is the magnitude of u?
Brilliant_brown [7]
Dot product is 
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>
5 0
4 years ago
What is the equation, in point-slope form, of the line that is
svlad2 [7]

Answer:

Step-by-step explanation:

this does not make since please wright it agina so we can understand it better.

3 0
3 years ago
Gayle and Jerry had some money. After their mother gave each of them $20, Gayle had twice as much money as Jerry and Jerry had $
mart [117]

Answer:

$100

Step-by-step explanation:

8 0
3 years ago
Rationalize the numerator of the expression
dangina [55]
Multiply by the conjugate for the numerator
3 0
4 years ago
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