We want to translate the given statement into an algebraic expression.
The expression is:
d = 0.45*L
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When we have a discount of an X% on a given value V, that discount will be:
D = (X%/100%)*V.
Here we have:
<em>"A </em><em>discount</em><em> of a 45% on the list price L"</em>
The discount will be given by:
d = (45%/100%)*L = 0.45*L
d = 0.45*L
This is the expression we wanted to get.
If you want to learn more, you can read:
brainly.com/question/2736271
Answer:
8/20, 4/10, and 16/40
Step-by-step explanation:
40% is basically 40/100.
40/100=4/10=8/20=16/40
hope this helps!! :))
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Answer:
=11.155 in³
Step-by-step explanation:
Given data:
Radius= 1.75 inches
Height = 3.5 inches
Diameter= 0.5 inches
To find the volume of a cone we will apply the formula:
Volume of a cone = 1/3 πr²h
Substitute the values:
V= 1/3* 3.14 *(1.75)² * 3.5
V=1/3 *3.14*(3.0625)* 3.5
V= 33.66/3
V=11.22 in³
Now find the volume of the bubble gum:
Volume of bubble gum = 4/3 π*r³
Substitute the values:
V= 4/3*3.14*(0.5/2)³
V=4/3*3.14(0.25)³
V=4/3*3.14(0.015625)
V=0.19625/3
V=0.0654 in³
Now subtract the volume of bubble gum ball from the volume of a cone
=11.22 - 0.0654
=11.155 in³
Thus the closest approximation of the volume of the cone that can be filled with flavored ice is 11.155 in³....
