Answer:
g(x)=5x+7
Step-by-step explanation:
f(x)+g(x)=9x+4
We are given f(x)=4x-3.
So we insert 4x-3 for f:
4x-3+g(x)=9x+4
Subtract 4x on both sides:
-3+g(x)=5x+4
Add 3 on both sides:
g(x)=5x+7
Check:
f(x)+g(x)
=(4x-3)+(5x+7)
=(4x+5x)+(-3+7)
=(9x) +(4)
=9x+4
Bingo. We did it! :)
Answer: 35 dogs
Step-by-step explanation:
Ratio of dogs to cats in first week of January
= 49 : 28
Ratio of dogs to cats in last week of January
= ? : 20
Let the unknown number of dogs for last week be Z
Thus, 49/28 = Z/20
To get the value of Z, cross multiply
49 x 20 = 28 x Z
980 = 28Z
Divide both sides by 28
980Z/28 = 28/28
Z = 35
Thus, there were 35 dogs in the animal shelter during the last week
Answer:
x = 17.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 25 = x /41
41 sin 25 = x
17.32734=x
Rounding to the tenths place
x = 17.3
You can have 6002 people at the show. How? You add 128 and 5874 together and get 6002 people.
<span>d=20,009 + 0.15n
</span>$22,100 = 20,009 + 0.15n
$2091 = 0.15n
n = 2091/.15 = 13940