Easy peasy
1.
d=number of dudes
l=number of ladies
total is 55 so
d+l=55
total cost is 75 so
2d+l=75
multiply first eeuqaiton by -1 and add to second
2d+l=75
<u>-d-l=-55 +</u>
d+0=20
d=20
sub
d+l=55
20+l=55
l=35
35 ladies
2.
ratio and proportion
$87 is to 8 as is $x is to 5
87/8=x/5
times both sides by 5
435/8=x
use calculator
54.375=x
round
$54.38 recieved
3.
around the edge
means perimiter
disregard how deep the pool is
60 feet long
x wide
P=2(L+W)
P=220
220=2(60+x)
divide 2
110=60+x
minus 60 both sides
50=x
it has to be 50 feet wide
4. monthly over 5 years
1 year=12 months
12 times 5=60 months
12381/60=206.35 per month
$206.35
5.
total-food-gas-utilities=left
1624-256-125-150=1093 left
you should be able to do this one no problem
$1093 let
1. 35 ladies
2. $54.38
3. 50 feet
4. $206.35
5. $1093
Answer:
A cos C = 12/13
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos C = BC/AC
But we don't know BC, but we can find it using the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +BC^2 = 13^2
25 + BC ^2 =169
Subtract 25 from each side
BC^2 = 169-25
BC ^2 = 144
Taking the square root of each side
BC =12
cos C = 12/13
Answer: Irrational
Explanation: bc it is
Answer:
3(x - 5)(x + 1).
Step-by-step explanation:
3x^2 - 12x - 15
Dividing through by 3:
= 3(x^2 - 4x - 5)
We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:
3(x - 5)(x + 1).
Answer:
b. a=-12
Step-by-step explanation:
3a-5a+10=34
multiply -5 times a and -2
-2a+10=34
-5a from 3a
-2a=24
subtract 10 from both sides
a=-12
-2a divided by both sides