Answer:
Miguel:
b = 2000 - 250m
Bartholomew:
b = 1500 - 150m
When m = 5
Step-by-step explanation:
Let
m = The number of months
b = balance on the credit card account in dollars.
Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month.
Miguel:
b = 2000 - 250m
Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month
Bartholomew:
b = 1500 - 150m
When will Miguel and Bartholomew owe the same amount of money?
Miguel balance = Bartholomew balance
2000 - 250m = 1500 - 150m
2000 - 1500 = -150m + 250m
500 = 100m
m = 500/100
m = 5 months
Answer:
5 kittens and 6 children
Step-by-step explanation:
We can use variables to find the number of kittens (K) and children (C)
each kitten will have 4 legs and each child will have 2.
You can make two equations like so:
4k+2c=32
k+c=11
You then can use the substitution method to solve for both variables:
k+c=11
Subtract k from each side:
c=11-k
Substitute this into the other equation:
4k+2(−k+11)=32
Solve for k:
4k-2k+22=32
2k=10
k=5
Then use this in one of the equations to find the other variable:
k+c=11
5+c=11
Rewrite this to make it easier:
11-5=c
c=6
k=5 and c=6
you can check this by substituting each of these value to make sure the equations are true:
k+c=11
5+6=11
11=11
4k+2c=32
4(5)+2(6)=32
20+12=32
32=32
They both check right, so
c=6 and k=5
are your answers.
There are 5 kittens and 6 children in the backyard
There is your answer
Hope this helps!
Answer:
<u>Step-by-step explanation:</u>
Answer:
The required scatterplot is given in attached file.
Step-by-step explanation:
From the scatterplot we see that two study variables are not linearly related. There may be some non-linear relation between the two variables.
The answer would be 5/8 and 0.625 in decimal form.
1/-4 - 1/2 * 7/-4 (divide then multiply)
1/-4 - 1 * 7 over 2 * -4 (multiply)
1/-4 - 7 over 2 * -4 (simplify 1 * 7 to 7)
1/-4 - 7/-8 (simplify 2 * -4 to -8)
1/-4 - (7/-8) (move the negative sign to the left)
1/-4 + 7/8 (simplify brackets)
5/8 (simplify).