Answer:
a. 8 years
b. $49.20
Step-by-step explanation:
The computation is shown below:
a. The mark age is
Given that
232 is 8 times of the sum of mark and his sister ages
And, his sister is 21
So,
Let us assume the mark age be x
now
8(x + 21) = 232
x + 21 = 29
x = 29 -21
x = 8
b. The original price of the socks is
As each pair get $3 off
And she bought 6 pairs for $31.20
= $31.20 + 6 × $3
= $31.20 + 18
= $49.20
Evaluate: 2(1/4) + 2/5 ÷ (-1/2) - 1/4
⇛9/4 + 2/5 ÷ (-1/2) - 1/4
Take the LCM of the 4 and 5 is 20.
Again, 2 and 4 is 4.
⇛[(54+8)/20] ÷ [(-2 - 1)/4]
⇛62/20 ÷ (-3/4)
⇛62/20 × 4/-3
⇛62/{5*(-3)}
⇛62/-15.
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
Domain: (-6, 0, 3) Range: (-9, -7, 3, 5)
Yes becaus any even numbers can be represented as 2n where n is an integer
so 2n and 2m where m and n aer both integers
they both have 2 as a factor so that will be included in finding the greatest common factor