Answer:
t=x+44
Step-by-step explanation:
the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44
Step 3 is wrong ( = 1/10 pound x 1/10 pound )
Your answer willl be f(x) = 24x hope this helps
Answer:
The largest number is 13
Step-by-step explanation:
Here, we want to find the largest number which divides 60 and 75 to leave remainders 8 and 10 respectively
What this means is that we are looking for numbers such that when we divide 60 by it, we get remainder 8 and when we divide 75 by it, we get remainder 10
For 60;
The number is 13 for 60
This is because, since we are looking at leaving remainder 8, that means the actual figure we are looking at is 60-8 = 52
13 is actually the biggest factor of 52 in this case
For 75;
we are looking at remainder 10; take this away from 75, that will be 75-10 = 65
Also the factor here is 13 because 13 * 5 = 65 and we are 10 units away from 75
Since interest=investment*interest rate*time in years for simple interest, we know that there are 2 separate investments. If the amount invested at 6% simple interest is x dollars and the amount invested at 8% is y dollars, then we know that x+y=6000 since she spent all 6000 dollars on only 2 separate investments. Subtracting y from both sides, we get that 6000-y=x. In addition, we know that her interest for the 6% interest rate is x*0.06*1 as well as y*0.08*1 for the 8% simple interest. Since the total interest is 410$, we know that x*0.06*1+y*0.08*1=410. Since y=6000-x, we plug that in to get x*0.06+(6000-x)*0.08=410. Using the distributive property to expand, we get x*0.06+480-0.08x=410=-0.02*x+480. Subtracting 480 from both sides, we get -0.02*x=-70. After that, we can multiply both sides by -50 (since -0.02 times -50 is 1) to get x=3500=amount invested at 6%. Since the amount invested at 8% is 6000-x, that equals 6000-3500=2500
