So we have
h=hits
m=miss
h+m=10
gain 5 for every hit and lose 3 for every miss
so 5 times number of hit=points from hit
-3 times number of miss=points deducted from miss
add
5h-3m=18
so we have the equations
h+m=10
5h-3m=18
multiply first equation by 3
3h+3m=30
add to first equatio
3h+3m=30
<u>5h-3m=18 +</u>
8h+0m=48
8h=48
divide by 8
h=6
subsitute
h+m=10
6+m=10
subtract 6
m=4
6 hits
4 miss
<u />
<span>There are 5 boxes, where we have to put given numbers. Addition of 5 odd numbers always gives an odd number result. 30 is an even number. So there is no combination of given numbers which can give you 30 as a result.
</span>
Hello from MrBillDoesMath!
Answer: b = 4, h = 13
Discussion:
For a triangle with base b" and height "h, the area formula is
A= (1/2)bh.
In our case A = 26, h = 5b-7, so
26 = (1/2) b (5b-7). Multiply both sides by 2:
26*2 = b(5b-7) =>
52 = b(5b-7) =>
52 = 5b^2 - 7b => (subtract 52 from both sides)
5b^2 - 7b - 52 = 0. This factors as follows:
(b - 4) (5 b + 13) = 0 (use quadratic formula to find this)
so b = 4 and h = 5b -7 = 5*4 - 7 = 13
Thank you,
MrB
Answer:
x = -1 and y = -1
Step-by-step explanation:
Solve 3x+3y=−6;−x+y=0
Steps:
I will solve your system by substitution.
−x+y=0;3x+3y=−6
Step: Solve−x+y=0for y:
−x+y+x=0+x(Add x to both sides)
y=x
Step: Substitutexforyin3x+3y=−6:
3x+3y=−6
3x+3x=−6
6x=−6(Simplify both sides of the equation)
6x
6
=
−6
6
(Divide both sides by 6)
x=−1
Step: Substitute−1forxiny=x:
y=x
y=−1
Answer:
x=−1 and y=−1
49 is a square of 7 and 4 is a square of 2. To get 45 you need to subtract 7² and 2². Therefore, its the difference of squares.
