Answer:
$ 9.5
Step-by-step explanation:
total money is $20
on lunch = 1/8 × 20 = 5/2 = $2.5
on movies = 2/5 × 20 = $8
total spent = 2.5+8 =$ 10.5
left money = 20-10.5 = $ 9.5
Answer:
90°.
Step-by-step explanation:
if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.
Given, the density of a particular brand of gasoline = 0.737 g/ml.
13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.
First we will convert 13.4 gallon to ml.
We know that 1 gallon = 3.78541 litre
And 1 litre = 1000 ml
So we can write 1 gallon = 
= 3785.41 ml.
13.4 gallon = 
ml = 50724.494 ml.
Let's take there is x grams of gasoline
We know that density = (mass/ volume) = 
So we can write,
To find x we will multiply both sides by 50724.494. we will get,
So we have got the required answer.
Mass of gasoline = 37383.95 grams.
EXPLANATION
Since the circumference of the circle is 9.42, we can get the diameter by applying the following relationship:
Isolating the diameter:
Plugging in the numbers:
Therefore, the diameter is equal to 3 inches.
Answer:
all real numbers
Step-by-step explanation:
Here is the solution to the first inequality:
3(2x +1) > 21 . . . . . . given
6x +3 > 21 . . . . . . . . eliminate parentheses
6x > 18 . . . . . . . . . . .subtract 3
x > 3 . . . . . . . . . . . . divide by 6
This is all numbers to the right of 3 on the number line.
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The solution to the second inequality is ...
4x +3 < 3x + 7 . . . . given
x < 4 . . . . . . . . . . . . subtract 3x+3
This is all numbers to the left of 4 on the number line.
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The conjunction in the system of inequalities is "or", so we are looking for values of x that will satisfy at least one of the conditions. <em>Any value of x</em> will satisfy one or the other or both of these inequalities. The solution is all real numbers.
