Answer:
4 - ( 3x - 8 ) = 21
break the bracket first ,it gives : 4 - 3x + 8 = 21
12 - 3x = 21
- 3x = 21 - 12
- 3x = 9
-x = 9/3
-x = 3
X = - 3
[ check if the answer is correct, put -3 instead of X in the above equation ! we get 4 - { 3(-3) - 8 } = 21
4 - { - 9 - 8 } = 21
4 - { - 17 } = 21
break the bracket, minus and minus will multiply and will become plus , so we have 4 + 17 = 21 , hence 21 = 21 ! therefore X = -3
Answer:
180 miles
Step-by-step explanation:
Step one:
capacity of tank= 18.5gallons
vehicle averages 666 miles per tank.
Hence, the vehicle can travel 666 miles on 18.5 gallons
Required
The distance covered on 5 gallons
Step two:
vehicle can travel 666 miles on 18.5 gallons
the vehicle will go x miles on 5 gallons
cross multiply we have
5*666= 18.5*x
3330=18.5x
divide both sides by 18.5
x= 3330/18.5
x=180 miles
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

If we know that
and
, then:


The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:


If we know that
and
, then:


The length of BC is 51 units.
Answer: Option A
The median is the same as the _ Second quartile_.
Step-by-step explanation:
Given a series of data ordered from least to greatest, the median is the value that is in the center.
That is, the median represents the value that divides 50% of the data.
In the same way, the first quartile
is the value that divides 25% of the data and the third quartile
is the value that divides 75% of the data.
The second quartile
is the number that divides 50% of the data.
Then notice that the second quartile is equal to the median
Then te answer is the option A.