Let x = cost of mango
y = c of apples
<span>8x+3y=18.
3x+5y=14.5 </span>
<span> </span>
<span>24x+9y=54
24x+40y=116
multiplying them with 3 and 8 resectively. </span>
<span>subtract one from the other we get </span>
<span>40y-9y=116-54 </span>
<span>31y=62 </span>
<span>y=2.
cost of apple=2$ per apple
</span><span>8x+3y=18,
8x+3(2)=18.
8x=12. x=12/8=1.5 </span>
<span>cost of mango i= 1.5 $ per mango
hope this helps</span>
Answer:
yields zero
Step-by-step explanation:
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero.
Answer: 1. x= -12 2. x= 12
Step-by-step explanation:
1. 5(+3)=−45
5x+15−15=−45−15
5x= -60
5x/5 = -60/5
x = -60/5
x= -12
2. 1x/2−4=2
x/2 -4=22−4+4=2+4
/2=6
2⋅2=2⋅6
x=2⋅6
x= 12
Answer:
p(heads)
Step-by-step explanation:
there are only two outcomes: heads or tails so the outcome ca only be one of two outcomes that is the reason for the 2 on the bottom of the fraction. and heads is one of the outcome hence the 1 on the top of the fraction.
Answer:
Step-by-step explanation:
We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:
and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:
Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:
On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:
and we can move that constant back over and set the quadratic back equal to y:
which gives us a max height of 2.
(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))
