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3 years ago

Worth 50 points!I need help plz!

Mathematics

1 answer:

juin [17]3 years ago

8 0

Explanation/Answer:

Total: 4 + 6 + 5 + 7 = 22

Green: 6 + 7 = 13

Probability: 13/22

Note: It Is Not Mutually Exclusive Events

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if there are 65 boys in a classroom and the ratio of boys to girls is 13:15, how many students are in the class?

V125BC [204]

There are 65 boys, and the boy ratio is 13: so to find how they got that, divide 65 by 13 and that is 5. Since we now know it is the amount of people, divided by 5, we can take the girl ratio (15) and multiply it by 5 to get the amount of girls (which is 75). You need to find the total amount of students in the class so add the boys and girls (65+75) and get 140 total students

6 0

3 years ago

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

4 years ago

4150 people show up to watch the tiger eat on most days. Today there were 15% few people. How many people were there today?

bonufazy [111]

Answer: 622

Step-by-step explanation:

8 0

3 years ago

What is the slope of a line with points (5.5,2.2)(11,4.4)?

MAXImum [283]

Answer:

Slope=2.2/5.5 or 0.4

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Hence:

slope=(4.4-2.2)/(11-5.5)

slope=2.2/5.5=0.4

7 0

3 years ago

type of advance medical directive does the AMA recommend? a) Euthanasia b) Living will c) Durable power of attorney O d) Undue-b

Marizza181 [45]

Answer:

A durable power of attorney. A Power of Attorney is a legal document that appoints an “Agent” to represent you and handle specific issues for you. Depending upon the terms of the Power of Attorney, your Agent could be authorized to make financial and health care decisions on your behalf. Hope this helps.

Step-by-step explanation:

3 0

3 years ago