I am setting the week hourly rate to x, and the weekend to y. Here is how the equation is set up:
13x + 14y = $250.90
15x + 8y = $204.70
This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7. Now it equals:
52x + 56y = $1003.60
-105x - 56y = -$1432.90
Now we add these two equations together to get:
-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10. This is how much she makes per hour on a week day.
Now we can plug in our answer for x to find y. I am going to use the first equation, but you could use either.
$105.30 + 14y = $250.90. Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40
Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends. Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
Answer:
x=3
y=5
Step-by-step explanation:
x+5y=28 (i)
-x-2y=-13. (ii)
add equation 2 from equation 1
x+5y=28
-x-2y=-13
3y=15
y=5
put the value of y in equation 1
x+5y=28
x+5*5=28
x+25=28
x=28-25
x=3
Answer:
<h2>A. Agree, 4 children is the most typical number of children.</h2>
Step-by-step explanation:
By analysis the problem, we can make our decision by first determining the percent of 3.55 of 4
therefore the percentage can be computed as
=(3.55/4)*100
=0.8875*100
=88.75%
The analysis above it shows that 88.75 percent of the women who give birth to children give birth to 4 children.
This number is very close to a hundred percent hence the statistical claim is "Agree, 4 children is the most typical number of children."
Well I don't know !
Let's check out the choices:
A). 3a - 4b = 21, a=0, b=7
3(0) - 4(7) = 21
0 - 28 = 21 Nope. That's not true.
B). 3a - 4b = 21, a=-3, b=2
3(-3) - 4(-2) = 21
-9 + 8 = 21
-1 = 21 Nope. That's not right.
C). 3a - 4b = 21, a=-2, b=-3
3(-2) - 4(-3) = 21
-6 + 12 = 21
6 = 21 Nope. That's not it.
Only one choice left.
This one had better be it:
D). 3a - 4b = 21, a=7, b=0
3(7) - 4(0) = 21
21 - 0 = 21
21 = 21 Yay ! That's it !
9514 1404 393
Answer:
y+2, y+4
Step-by-step explanation:
Consecutive odd integers differ by 2.
The next two are ...
y+2
y+4
__
<em>Additional comment</em>
You may find it simplifies the math in consecutive integer problems if you let the variable represent the middle one. If y is the middle one, the three odd integers are represented by y-2, y, y+2.
