In the school chorus, 2/12 of the students are fourth graders. In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

Answer 1

Answer: 1/6 students in the school chorus are in fourth grade

Answer 2

Answer: 2/12 simplified is 1/6. Because 2 goes into 2 once, and into 12 six times.

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Describe a real life multiplication situation for which an estimate makes sense

Answers

Let's say we're at the store and you want to buy 10 boxes of cookies for a party. Each box of cookies cost 4.89(counting tax), you don't know if you have enough money to buy the cookies with the $65.00 you have with you. You could round the price up to $5.00 and do more simple multiplication. Your total would estimate about $50.00. Now you know you have more than enough money to buy cookies. I hope that makes sense. :)

Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

$x^2-2x-24=0$

$Sum=-(b)/(a)$

$Product=(c)/(a)$

therefore

$Sum=-((-2))/(1)=2$

$Product=(-24)/(1)=-24$

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

$8+(-3)=5$

$8*(-3)=-24$

Doesn't work.

Let's try now 4 and -6.

$4+(-6)=-2$

$4*(-6)=-24$

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

$6+(-4)=2$

$6*(-4)=-24$

$Sum=2$

and

$Product=-24$

Them it works.

$\boxed{\boxed{x_1=-4~~and~~x_2=6}}$

$x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6$

Write three different factorizations of the number 16. Do not use 1 as a factor.

Answers

2x2x2x2That's the only possible one

use 2*8 and 2*4 equal 8 but you will get your answer

Anthony is making his famous pizza pies to sell at the Munhall Community Festival. He uses 2212 cups of mozzarella cheese for every 5 cups of tomato sauce in order to make a dozen pizzas. Answer the following questions below and show your work. To help sell more pizzas at the festival, Anthony set the price for one pie at 35% less than what it would cost at his pizza shop. At the festival, he charges $8.50. Using this information, what is the price of one pizza at Tony’s Pizza Palace?