A length of ribbon is 3 1/2 yd long. How many pieces 1 5/9 yd long can Joy cut from the ribbon?
1
2
3
4
Which number is equivalent to 0.45?
1/45
5/11
4/5
1/4
What is 3.56 x 10 *5 in standard notation?
356,000
3,560,000
0.00356
0.0000356
Ms. Johnson's class is having a pizza party. If there are 14 students and 7 pizzas cut into 8 pieces, what answer choice represents the fraction of one pizza that each student receives?
1/3
1/4
1/2
1/8
Can someone please help me with these... I have no clue?! :,(
1.) 2.
2.) 5/11 is 0.(45)454545...
3.) 3.56x10^5=356,000.
4.) 1/2
Is anonymous right???
What is 45/100 in its simplest form? 9/20
And how do I divide fractions on a calculator?!
Ok I figured it out but I got 2 1/4
and 1/2
OK thanks so much! :D
Ty anonymous
The answer is 2
A length of ribbon is 3 1/2 yd long. How many pieces 1 5/9 yd long can Joy cut from the ribbon?
Divide 3 1/2 by 1 5/9
Which number is equivalent to 0.45?
What is 45/100 in its simplest form?
Ms. Johnson's class is having a pizza party. If there are 14 students and 7 pizzas cut into 8 pieces, what answer choice represents the fraction of one pizza that each student receives?
Divide: 7/14 = ?
Of course, I'd be happy to help you with these questions! Let's break down each question and explain how to solve them step by step.
Question 1: A length of ribbon is 3 1/2 yd long. How many pieces 1 5/9 yd long can Joy cut from the ribbon?
To solve this problem, we need to divide the length of the ribbon by the length of each piece that Joy wants to cut.
First, we need to convert the mixed number 3 1/2 to an improper fraction. To do this, we multiply the whole number (3) by the denominator (2) and add the numerator (1), which gives us 7. Then we write the sum (7) over the denominator (2), resulting in the improper fraction 7/2.
Now, let's convert the mixed number 1 5/9 to an improper fraction. Multiply the whole number (1) by the denominator (9) and add the numerator (5), which gives us 14. Then write the sum (14) over the denominator (9), resulting in the improper fraction 14/9.
To divide the length of the ribbon (7/2 yd) by the length of each piece (14/9 yd), we need to multiply the length of the ribbon by the reciprocal of the length of each piece. The reciprocal of 14/9 is 9/14.
So, we can calculate the number of pieces Joy can cut by multiplying 7/2 yd by 9/14 yd.
(7/2) x (9/14) = 63/28 = 2 7/28
Therefore, Joy can cut 2 7/28 pieces from the ribbon. But for simplicity, we express this as a mixed number, which is 2 and 7/28. Since the options given are whole numbers, we can round down to the nearest whole number. This means that Joy can cut 2 pieces from the ribbon.
Therefore, the correct answer is 2.
Question 2: Which number is equivalent to 0.45?
To find the fraction equivalent to 0.45, we need to express it as a fraction with a denominator of 100.
The digits after the decimal point in 0.45 are 45, which can be written as 45/100.
Now, we simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5.
45/100 ÷ 5/5 = 9/20
Therefore, the fraction equivalent to 0.45 is 9/20.
Therefore, the correct answer is 9/20.
Question 3: What is 3.56 x 10^5 in standard notation?
To convert a number written in scientific notation to standard notation, we multiply the base number (3.56) by 10 raised to the power of the exponent (5).
3.56 x 10^5 = 3.56 * (10 * 10 * 10 * 10 * 10) = 3.56 * 100,000
Multiplying 3.56 by 100,000, we get:
3.56 * 100,000 = 356,000
Therefore, 3.56 x 10^5 in standard notation is 356,000.
Therefore, the correct answer is 356,000.
Question 4: Ms. Johnson's class is having a pizza party. If there are 14 students and 7 pizzas cut into 8 pieces, what answer choice represents the fraction of one pizza that each student receives?
To find the fraction of one pizza that each student receives, we need to divide the total number of pizza pieces (7 pizzas cut into 8 pieces each) by the number of students (14).
Total number of pizza pieces = 7 pizzas * 8 pieces per pizza = 56 pieces
Now, divide the total number of pizza pieces (56) by the number of students (14):
56 pieces / 14 students = 4 pieces per student
Therefore, each student will receive 4 pieces of pizza.
Now, let's express this as a fraction. Since there are 8 pieces in one pizza, and each student receives 4 pieces, we can write this as 4/8.
However, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4.
4/8 ÷ 4/4 = 1/2
Therefore, each student will receive 1/2 of a pizza.
Therefore, the correct answer is 1/2.
I hope this explanation helps! Let me know if you have any further questions.
You're right about 45/100 = 9/20. Please check with your teacher about why that answer isn't one of the choices.
We can't divide fractions on most calculators. However, this site has a great explanation.
http://www.mathsisfun.com/fractions_division.html