The difference of six times a number and seven results in 35.

Mathematics

2 answers:

olchik [2.2K]4 years ago

7 0

6x - 7 = 35
6x = 35 + 7 <em> (add 7 and then divide by 6)</em>
6x = 42
x = 42/6
x = 7

Bess [88]4 years ago

4 0

Answer:

Add 7, and then divided by 6

Step-by-step explanation:

Let x be the number

We have to identify the steps necessary to solve the equation.

According the question

$6x-7=35$

Adding 7 on both sides then we get

$6x-7+7=35+7$

$6x=42$

Divided by 6 on both sides then, we get

$\frac{6x}{6}=\frac{42}{6}$

$x=7$

Answer:Add 7, and then divided by 6

You might be interested in

Find the angle between the vectors u=i-9j and v=8i+5j

Katyanochek1 [597]

Answer: $\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}$

Step-by-step explanation:

$u \cdot v=(1)(8)+(-9)(5)=-37\\\\|u|=\sqrt{1^{2}+(-9)^{2}}=\sqrt{82}\\\\|v|=\sqrt{8^{2}+5^{2}}=\sqrt{89}\\\\\cos \theta=\frac{-37}{\sqrt{82}\sqrt{89}}\\\\\theta=\cos^{-1} \left(\frac{-37}{\sqrt{82}\sqrt{89}} \right)\\\\\theta=\boxed{\cos^{-1} \left(\frac{-37}{\sqrt{7298}} \right) \approx 115.665^{\circ}}$