Answer:
We have the problem:
"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each."
In this situation we have two variables:
X = number of snacks for herself and her friends that she buys. Each one of these costs $3.50
Y = number of snacks for her dog that she buys. Each one of these costs $9.
The total cost, in this case, can be written as:
X*$3.50 + Y*$9
And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:
X*$3.50 + Y*$9 ≤ $35
Where we defined all the quantities in the inequality.
Answer:
A. supplementary
Step-by-step explanation:
Note the angle measurements of BOC. m∠BOC = 90°
Now note that line FC is a straight line, which makes it's measurement = 180°
Subtract 90 from 180: 180 - 90 = 90°
Both are 90°, which, when combined makes a supplementary angle.
Answer:
Its the third one
Step-by-step explanation:
its the only negative one
Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
37.5% are male
62.5% are female
Step-by-step explanation:
in total 120 teachers (45 male+75 female)
therefore:
for male
120 - 100%
45 - x% (we need to find x)
by using the butterfly method (or cross multiply) we get:
120x=100*45
x=4500/120=37.5% (male teachers)
we do the same for female but instead of using 45 we will use 75(the quantity of female theachers in school)
120x=100*75
x=7500/120=62.5%
