Answer:
7(m-8)
Step-by-step explanation:
We are given: 7 times the difference between m and 8
We want to write an expression. Let’s begin with “the difference between m and 8”.
Difference means subtraction. Therefore, we must subtract m and 8.
(m-8)
Now, let’s add on “7 times”
Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.
7(m-8)
Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)
Answer: two angles have the same measure if only and only if they are congruent
explanation:
A true biconditional statement is true both "forward" and backward". All definitions can be written as true biconditional statements.
Given ratio : 90 lbs on earth :15 lbs on the moon.
Let us write 90 lbs :15 lbs in fractions first.
90:15 = 90/15
Now, in order to determine different strategy, we need to find any equivalent fraction/ratio of the given fraction or ratio.
In order to find an equivalent fraction or ratio, we need to find a common number that can divide( even we can multiply) both numerator (top number) and denominator (bottom number).
For the given ratio 90/15, we can divide 90 and 15 both by 15.
90 ÷ 15 = 6
15 ÷ 15 = 1
Therefore, 90 lbs on earth :15 lbs on the moon could be written as 6 lbs on earth :1 lbs on the moon.
Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.
Let m = mass of the moon.
Then
F = (G*M*m)/r^2
or
m = (F*r^2)/(G*M)
In SI units,
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
= 7.4125×10²⁸ kg
Answer: 7.4125x10²⁸ kg
Answer:
the best way is to follow the law, sales tax is not subject to discount by the seller.
Step-by-step explanation:
both ways result in the same outcome:
improper way, discount after tax
$50+$5(tax)=$55, after discount $55-$11(20%)=$44
proper way, discount before tax
$50-$10(20%)=$40+$4(tax)=$44
