Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
Answer:
The solution of the system of equation in coordinate form is (2, 0)
Step-by-step explanation:
The given equation are;
2·x - y = 4....................(1)
5·x + 2·y = 10..............(2)
Multiplying equation (1) by 2 and subtract it from equation (2) gives;
5·x + 2·y - 2 × (2·x - y) = 10 - 2×4
5·x - 4·x + 2·y - 2·y = 2
x = 2
From equation (1), we have 2·x - y = 4, when x = 2, we get;
2×2 - y = 4
y = 2×2 -4 = 0
y = 0
Therefore;
The solution of the system of equation in coordinate form is (2, 0).
To compare fractions with like numerator and different denominators, draw out the numerator and denominators to figure it out. So if you were to figure out 6/10 and 6/17, draw out the denominators and shade in how many of the numerators. Keep in mind to make sure you shade in the same area on the other fraction or else you will get confused.
Answer:
49.81
Step-by-step explanation:
the formula I used is distance=
Lets say we are finding the distance from c to y
c=(-6,9)
y=(5,9)
cy=
cy=
cy=
cy=
cy=11
And you can find the distance between y and i, i and d, d and o, o and c, using the same formula.
After solving the distance of all I got
yi=16.55294536
id=1
do=9.219544457
oc=12.04159458
After you add them all up you get 49.8140844 which rounded to the nearest hundredth is 48.81.
Thank you and I hope that is helpful.
Sorry that is actually wrong
Check out the other answer.