Answer:
8
Step-by-step explanation:
The given expression is "three less than the quotient of ten and a number, increased by six”
The quotient of ten and a number increased by six is translated into mathematical expression as:

Three less than the quotient of ten and a number, increased by six is

When we substitute n=2, we get:

Divide to get:

Add to get:

Subtract

Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
14.6 lbs/4 weeks = 3.65 lbs /week
she lost 3.65 pounds each week
Answer:
a = 8 (to nearest whole number)
Step-by-step explanation:
Given:
m<B = 36°
m<C = 104°
c = 12
Required:
a
SOLUTION:
✔️First find m<A:
m<A = 180 - (104 + 36)
m<A = 40°
✔️Find a using Sine Rule:
Thus:

Plug in the values

Multiply both sides by sin(40)


(nearest whole number)
Answer:
3x + 7y = 21
Step-by-step explanation:
We have value of two points (0,3) and (7,0)
First, let's find the slope of this line. The formula for slope is:
Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)
Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0
(y₂ - y₁)/(x₂-x₁)
= (0-3)/(7-0)
=-3/7
Now we can write the equation in point-slope form:
y-y₁ = m(x-x₁)
y - 3 = -3/7(x-0)
y-3=-3x/7
y=-3x/7 + 3
Now let's convert this to standard form, by making the y-intercept by itself:
Ax + By = C
y=-3x/7 + 3
Multiply through by 7
7(y) = 7(-3x/7) + 7(3)
7y = -3x + 21
3x + 7y = 21