9514 1404 393
Answer:
(d) 16
Step-by-step explanation:
Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:
2x = 32
x = 16 . . . . . . divide by 2°
Answer: The actual price of house sold at $109000.
Step-by-step explanation:
Since we have given that
Selling price = $100000
Rate of commission = 7%
So, Amount of commission would be
Total commission = $7540
So, Remaining amount of commission would be
Rate of commission exceeding $100000 = 6%
Let the selling price of house be 'x'.
According to question,
Hence, the actual price of house sold at
$100000+$9000=$109000.
Answer:
The answer to your question is Advance = $35 and same-day = $40
Step-by-step explanation:
Advanced = a
Same-day = s
Equations
a + s = 75 ----- (I)
20a + 35s = 2100 ----- (II)
Process
1.- Solve the equations by elimination.
Multiply equation I by -20
-20a - 20s = -1500
20a + 35s = 2100
Simplify
0 + 15s = 600
Solve for s s = 600/15
s = $ 40
Substitute "s" in equation I to find "a"
a + 40 = 75
Solve for a
a = 75 - 40
a = 35
9514 1404 393
Answer:
a. $4.17
b. 233.3%
Step-by-step explanation:
a. The proportion the markup (m) is to the total (t) is ...
m : t = 7 : 10
The total is the cost (c) plus the markup, so we have ...
m : t = 7 : 10 = m : (m +c) = 7 : 7 +3
Then the ratio of total price to cost is ...
t : c = 10 : 3
The menu price of the pie slice will be ...
$1.25 × 7/3 ≈ $4.17
__
b. The ratio of markup to cost is ...
m : c = 7 : 3 ≈ 2.333 = 233.3%
There were 40 tourist class passengers and 12 first class passengers.
Explanation:
Let the number of passengers who booked for tourist class be
=
x
Then, number of passengers who booked for first class
=
52
−
x
According to question,
Total money paid = $25(tourist class)+$30(first class)
$
1360
=
$
25
(
x
)
+
$
30
(
52
−
x
)
1360
=
25
x
+
1560
−
30
x
1360
−
1560
=
25
x
−
30
x
−
200
=
−
5
x
x
=
−
200
−
5
x
=
40
So, there were 40 tourist class passengers.
Now first class passengers
=
52
−
x
=
52
−
40
=
12
∴
There were 40 tourist class passengers and 12 first class passengers.
As a check
Total money paid = $25(tourist class)+$30(first class)
R
H
S
=
$
25
(
40
)
+
$
30
(
12
)
$
1000
+
$
360
=
$
1360
L
H
S
=
$
1360
Hence verified.
