Let's solve this problem step by step.
−2(1−3x)=22−3(x−13)
Step 1: Simplify both sides of the equation.
(−2)(1)+(−2)(−3x)=22+(−3)(x)+(−3)(−13)(Distribute)
−2+6x=22+−3x+39
6x−2=(−3x)+(22+39)(Combine Like Terms)
6x−2=−3x+61
Step 2: Add 3x to both sides.
6x−2+3x=−3x+61+3x
9x−2=61
Step 3: Add 2 to both sides.
9x−2+2=61+2
9x=63
Step 4: Divide both sides by 9.
9x/9=63/9
So, the answer to this problem is x=7.
Answer:
Don't know what the equation is but this is the rules is:
Subtract 4x from each side.
2. Simplify.
3. Subtract 2 from each side.
4. Simplify.
5. Divide each side by 5.
6. Simplify
Step-by-step explanation:
This is an example
Answer:
231.12
Step-by-step explanation:
540+7% tax is 577.80
Given that the ship was traveling for 4 mph faster heading west than south then let the speed of the ship heading south be x mph, the speed of the ship heading west will be (x+4) mph
the distance is given by:
distance=speed*time
distance heading south was:
x*4=4x miles
distance heading west was:
5(x+4)=5x+20
thus the total distance will be given by:
4x+(5x+20)=191
9x+20=191
9x=191-20
9x=171
x=171/9
x=19 mph
the speed the ship used to travel west was:
x+4
=19+4
=21 mph
Answer: height = 13.9 cm
Step-by-step explanation:
The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2
Base area = πr^2
Substitutes the value into the formula
98.56 = 22/7 × r^2
Cross multiply
689.92 = 22r^2
r^2 = 689.92/22
r = sqrt ( 31.36 )
r = 5.6 cm
Also, the curved surface area of a cone is πrL
Where the given value is 264 cm^2
Substitutes the value into the formula
264 = 22/7 × 5.6 × L
Where L = slant height
Cross multiply
123.2L = 1848
L = 1848 /123.2
L = 15 cm.
Using pythagorean theorem to find the height H of the cone.
H^2 = L^2 - r^2
H^2 = 15^2 - 5.6^2
H = sqrt( 193.64 )
H = 13.9 cm
