So the total value of a triangle is 180°
So when u calculate the missing angle its value is 42°
180°-(60°+78°) = 42°
Answer:
0.15*t < 5.00
33 texts
Step-by-step explanation:
given : $0.15 per text; unlimited cost is $5.00
# of texts = t
0.15*t < 5.00
t < 33.33; since you cannot make 33.33 texts i will round down to 33 texts.
Basically you can send or receive up to 33 texts and it will be cheaper than $5.00
0.15(33) = $4.95
at 34 texts, 0.15(34) = $5.10
Answer:
She earned $20 in tips.
Step-by-step explanation:
First, you need to work out how much pay she'd get for 12 hours work:
12 x $11.25 = $135 for 12 hours work
Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:
2/5 of $11.25 = $4.50
Add both these sums together to get her total pay for hours worked:
$135 + $4.50 = $139.50
Subtract that sum from her total pay to find out how much money she earned in tips:
$159.50 - $139.50 = <u>$20</u>
Given that
(2/x)+(3/y) = 13--------(1)
(5/x)-(4/y) = -2 -------(2)
Put 1/x = a and 1/y = b then
2a + 3b = 13 ----------(3)
On multiplying with 5 then
10a +15 b = 65 -------(4)
and
5a -4b= -2 ----------(5)
On multiplying with 2 then
10 a - 8b = -4 -------(6)
On Subtracting (6) from (4) then
10a + 15b = 65
10a - 8b = -4
(-)
_____________
0 + 23 b = 69
______________
⇛ 23b = 69
⇛ b = 69/23
⇛ b =3
On Substituting the value of b in (5)
5a -4b= -2
⇛ 5a -4(3) = -2
⇛ 5a -12 = -2
⇛ 5a = -2+12
⇛ 5a = 10
⇛ a = 10/5
⇛ a = 2
Now we have
a = 2
⇛1/x = 2
⇛ x = 1/2
and
b = 3
⇛1/y = 3
⇛ y = 1/3
<u>Answer :-</u>The solution for the given problem is (1/2,1/3)
<u>Check</u>: If x = 1/2 and y = 1/3 then
LHS = (2/x)+(3/y)
= 2/(1/2)+3/(1/3)
= (2×2)+(3×3)
= 4+9
= 13
= RHS
LHS=RHS is true
and
LHS=(5/x)-(4/y)
⇛ 5/(1/2)- 4/(1/3)
⇛(5×2)-(4×3)
⇛ 10-12
⇛ -2
⇛RHS
LHS = RHS is true
Answer: It is a composite number since it has more factors than just itself and 1.
Step-by-step explanation:
1x20=20
2x10=20
4x5=20
