Answer:
$69.60
Step-by-step explanation:
58 increase 20% =
58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6
Answer:$154.73
Step-by-step explanation:
Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73
Answer:
Step-by-step explanation:
The numbers are 11 & 12
Explanation:
Let the first number be f and the second |number be s
Now the square of first No. is 23 less than the square of second No.
ie. f
2
+
23
=
s
2
. . . . . (1)
The second No. is 1 more than the first
ie f
+
1
=
s . . . . . . . . . . .(2)
squaring (2), we get
(
f
+
1
)
2
=
s
2
expanding
f
2
+
2
⋅
f
+
1
=
s
2 . . . . . (3)
Now (3) - (1) gives
2
⋅
f
−
22
=
0
or
2
⋅
f
=
22
thus, f
=
22
2
=
11
and s
=
f
+
1
=
11
+
1
=
12
So the numbers are 11 & 12
Cross-Multiply:
Divide by 3 on both sides:
Divide by x on both sides:
Answer:
C. 31.64
Step-by-step explanation:
23 = sin(36) × Hypotenuse
Hypotenuse is the baseline between the angles 36° and 54°.
Hypotenuse = 23/sin(36)
x = cos(36) × Hypotenuse
x = cos(36) × 23/sin(36) = cos(36)/sin(36) × 23 =
= 1/tan(36) × 23 = 23/tan(36) = 31.63686382... ≈
≈ 31.64
