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klio [65]
3 years ago
11

Mr. Darcy could knit 4 ugly sweaters in 100 minutes. How long will it take him to knit 6 ugly holiday sweaters

Mathematics
2 answers:
deff fn [24]3 years ago
6 0
It will take him125 minutes to knit 6 ugly holiday sweaters.
Nostrana [21]3 years ago
3 0
If you divide 100 by 4 which equals 25 that would be 25mins for one ugly sweater
If you times by 2 that equals 50
If 6=4+2 then you add 100 and 50 together which makes 150.

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8 0
3 years ago
Read 2 more answers
A business has two loans totaling $50,000. One loan has a rate of 8% and the other has a rate of 12%. This year, the business ex
Debora [2.8K]

Answer:

the 8% loan has a principal of $37500

the 12% loan has a principal of $12500

Step-by-step explanation:

Let's start by writing the general  equation for the interest hwre I is the interest, P is the principal (in our case would be loan amounts), "r" is the interest rate in decimal form (in our case one would be 0.12, and the other one 0.08), and t is the time in years (in our case 1 year).

I=P*r*t

Then we write the interest equation coming from each loan at the end of this year (we call I1 the interest coming from the 12% loan and I2 the interest coming from the 8% one). Since we don't know the loan amounts (in fact those are what we need to find) we will name one "x" and the other "y":

I=P*r*t\\I1=x * 0.12*1\\I2=y*0.08*1

Next, we add these last two equations term by term, and replace the addition of both interests by $4500 as given in the information:

I1=x * 0.12*1\\I2=y*0.08*1\\I1+I2 = 0.12x+0.08y\\4500=0.12x+0.08y

This is our first equation in the variables x and y which are our unknowns.

Now we generate the second equation on x and y by writing in agebraic terms the other piece of information we have: "the total of the two loans is $50000. That is the addition of the principals x and y should equal $50000:

x+y=50000

We solve for y in this last equation and replace its form in terms of x in the equation of the interest, and solve for the unknown x:

y=50000-x\\4500 = 0.12x +0.08 y\\4500=0.12x+0.08(50000-x)\\4500=0.12x+4000-0.08x\\4500=0.12x-0.08x+4000\\4500=0.04x+4000\\4500-4000=0.04x\\500=0.04x\\x=\frac{500}{0.04} =12500

Therefore the amount of the loan at 12% is $12500

Now to find the amount of the second loan "y" we use the equation for the totals of the loans:

x+y=50000\\12500+y=50000\\y=50000-12500=37500

Therefore, the loan at 8% is $37500

5 0
3 years ago
1. in mathematics, what is money?​
Verizon [17]

Answer:

Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts, such as taxes, in a particular country or socio-economic context.

Step-by-step explanation:

brainliest please

6 0
3 years ago
The expression 0.25q + 0.10d gives the value in dollars of q quarters and d dimes. what are the terms in the expression?
11111nata11111 [884]
The answer is d, Because terms are separated by signs, i.e multiplication/division.
6 0
3 years ago
... What is P(A/B)?
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Uuuuhhhhhh I am sooooo confused as I haven’t even learned this concept yet
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3 years ago
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