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Answer:
(0.118, 4.882)
Step-by-step explanation:
If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;
Distance = Speed * time
da = 120m
If he drives n hours at 18km/hr;
db = 18 * n
db = 18n
Speed of the motorist altogether is expressed as;
Speed =78km/5hrs
Speed = 15.6km/hr
SInce the total distnce is 78km
120m + 18n = 78 ....1 ..... * 1
If total time is 5hrs
m + n = 5....2 ...*18
Solve simultaneously
120m + 18n = 78
18m + 18n = 90
Subtract
120m - 18m = 78-90
102m = -12
m = 0.118 hrs
m =
Since m + n = 5
n = 5 - m
= 5 - 12/102
n = 4.882
Hence (m,n) is (0.118, 4.882)
<em><u>4 pints of strawberries and 2 pints of blueberries are bought</u></em>
<em><u>Solution:</u></em>
Let "a" be the pints of strawberries bought
Let "b" be the pints of blueberries cost
Cost per pint of strawberry = $ 1.60
Cost per pint of blueberry = $ 2.30
<em><u>A shopper bought twice as many pints of strawberries as pints of blueberries</u></em>
Therefore,
a = 2b --------- eqn 1
<em><u>They spent a total of $11.00. Therefore we frame a equation as:</u></em>
pints of strawberries bought x Cost per pint of strawberry + pints of blueberries cost x Cost per pint of blueberry = 11

1.6a + 2.3b = 11 --------- eqn 2
<em><u>Substitute eqn 1 in eqn 2</u></em>
1.6(2b) + 2.3b = 11
3.2b + 2.3b = 11
5.5b = 11
Divide both sides by 11
b = 2
<em><u>Substitute b = 2 in eqn 1</u></em>
a = 2(2)
a = 4
Thus 4 pints of strawberries and 2 pints of blueberries are bought
Answer:
452 cubic inches
Step-by-step explanation:
In terms of diameter, the volume of the cylinder is ...
V = (π/4)d^2h
Filling in the given numbers, we get ...
V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3
The cylinder volume is about 452 cubic inches.
Is there any other part to that question? It would tremendously help me to understand and help you :)