Answer:
a and b.
Step-by-step explanation:
I’ll explain by giving an example.
Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.
=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.
b) n+(n+1)+(n+2)= 3+4+5=12=> correct.
c)n+2n+3n=3+6+9=18=>incorrect.
d)3n=3*3=9=>incorrect.
Answer:
(B)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
5.8 0.8 5.9 6.1 and 10.9 are all correct answers.
Hope this Helped!
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Answer:
3(n-5)=2n+16
Step-by-step explanation:
3 lots of 'n' <em>and </em>5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)
3(5 - n)
16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have
2n + 16
if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.
3(n-5) = 2n+16
:)
Answer:
otterbox costs $95; beats costs $210
Step-by-step explanation:
x = otterbox y = beats
4x + 2y = 800 y = 2x + 20
4x + 2(2x + 20) = 800
4x + 4x +40 = 800
8x + 40 = 800
8x = 800 - 40
8x = 760
x = 760 / 8
x = 95 Otterbox costs $95 each
4x + 2y = 800
4(95) + 2y = 800
380 + 2y = 800
2y = 800 - 380
2y = 420
y = 420 / 2
y = 210 Beats costs $210
4(95) + 2(210) = 800
380 + 420 = 800
