Answer:
<u>37/8</u>
Step-by-step explanation:
we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.
5 1/2 = 11/10
in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)
11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer
11/2 - 1 = 9/2
we will now us the cup we subtracted from that and "give it to the kids"
1 = 8/8
so
8/8 - 7/8 = 1/8
so we have 1/8 leftover from that cup, so we can add that back
since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:
9/2 = 36/8
so
1/8 + 36/8 = 37/8
so since 37/8 cannot be simplified anymore, the answer is
<u>37/8</u>
We want to solve
4/7 = x/161
Cross multiply.
7x =(4)(161) = 644
Divide each side by 7.
x = 644/7 = 92
Answer: x = 92
The equation looks like this:
26=x*3.5+8.50
where x is the number of pen you bought.
We solve it like this:
first, we subtract 8.50 from both sides:
17.50 =3.5*x
now we divide both sides by 3.5:
5=x
so you purchased 5 pens.
Answer:
Week 4
Step-by-step explanation:
Ben has $250 in the beginning. He saves $150 per week.
y = 150x + 250
Tim has $1,650 in the beginning. He spends $200 per week.
y = 1650 - 200x
We are trying to find which x-value produces the same y-value for both equations. You can do this by setting both equations equal to each other.
150x + 250 = 1650 - 200x
(150x + 250) + 200x = (1650 - 200x) + 200x
350x + 250 = 1650
(350x + 250) - 250 = (1650) - 250
350x = 1400
(350x)/350 = (1400)/350
x = 4
By week 4, they will have the same amount of money.
Answer:
9.268
Step-by-step explanation:
