All categories

3 years ago

Seven times a number is the same as 12 more than 3 times the number. find the number

Mathematics

2 answers:

Arada [10]3 years ago

6 0

7x=12+3x
-3x. -3x
4x=12
x=3

Radda [10]3 years ago

5 0

7y = 12 + 3y , 4y = 12 , y = 3

You might be interested in

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

The town bought 36 kilograms of wood chips for their playgrounds.

olganol [36]

36 / 9 = 4
Answer : 4 play areas.

7 0

3 years ago

PLS ANSWER NOW WILL EARN BRAINLIEST IF RIGHT

velikii [3]

3.79+2.57+5.8=12.16

12.16 x 0.0625=0.76

hope this helped!

8 0

3 years ago

N a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third a

almond37 [142]

x + 24 = first angle

x = second angle

4x = third angle

x + 24 + x + 4x = 180°

6x + 24 = 180°

6x = 180° - 24

6x = 156°

x = 156° ÷ 6

x = 26°....the second angle.

x + 24 = 26 + 24 = 50°.... the first angle.

4(26) = 104°

The largest angle is the third angle, which measures 104°.

5 0

3 years ago

Answer asap Solve the exponential equation for x using logarithms. Round your answer to the nearest ten-thousandths (fourth deci

Sergeeva-Olga [200]

9514 1404 393

Answer:

x ≈ 0.7798

Step-by-step explanation:

For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.

e^(8x) = 512

8x = ln(512) . . . . . take the natural log

x = ln(512)/8 ≈ 0.7798

3 0

3 years ago