Sarah cut off one eighth of a 48 inch piece of ribbon Jane cutoff one nineth of a 36 peace ribbon they compared their cut pieces whose piece is longer how much longer

Answers

Answer 1

Answer: Sarah: 48 * 1/8
Jane: 36 * 1/9
you could do 2 things here
a. solve the problem by multiplying the two "fractions" together for each person to get a number, and the larger number means the larger piece
or
b. take a step back and look at it piece by piece
first lets compare
Sarah has a piece of Ribbon equal to 48 inches while
Jane's ribbon is only 36 inches in length
so Sarah has the most ribbon to start out with
now lets compare the two fractions
1/8 and 1/9
the smaller the denominator the bigger the number actually is
because the denominator just means "divided by" this number, so the smaller the number, the less "groups" the numerator is being split up into.
now in that case, 1/8 is the bigger fraction, and this fraction belongs to Sarah
now if Sarah has the larger Ribbon and the larger fraction, then she automatically has the larger ribbon.

however, in this problem it asks for "how much longer"
so we have to treat each of the numbers for each person as if it was a fraction
48 inches for Sarah and 36 inches for Jane will be over 1, showing that it is 48 and 36 "wholes" or whole numbers
48/1 and 36/1
now we multiply 48/1 by 1/8 because that i how much ribbon sarah needs
multiply the numerator by the numerator and the denominator by the denominator
48/1* 1/8 = 48/8 or simplified to 6/1 or 6 inches of ribbon for Sarah
do the same for Jane
36/1 * 1/9 = 36/9 or simplified to 4/1 or 4 inches of Ribbon for Jane
therefore we can conclude
Sarah has 2 more inches of Ribbon than Jane

Related Questions

Convert y − 6 = fraction 2 over 5(x + 10) to slope-intercept form.
ls the following statement with variability or without variability? "The number of students in PE each day."
15% of the school parking spaces are handicap spaces. The school has 18 handicap spaces. How many parking spaces are there?
125 thousandths = 1 tenth _______________ thousandths
Find coordinates of point c

Question On Image, Thanka for the help

Answers

Answer:

$3(7)/(10)$

Step-by-step explanation:

In Mathmatics there are certain words to describe symbols for example of in this situation of is used as a multiplication sign there are also other words used to describe multiplication like per, times, and doubles.

So now that we know the of is a multiplication sign we can insert it in the problem. $(2)/(3) * 1(4)/(5) + 2(1)/(2)$

So using PEMDAS which stands for

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

So we first multiply $(2)/(3) * 1(4)/(5)$ and we get $1(1)/(5)$ .

Then we add $1(1)/(5) + 2(1)/(2)$ and we get $3(7)/(10)$ .

Is the additive inverse of a number always negative ?explain 12points

Answers

The additive inverse of a number is not always negative.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

The additive inverse of an number is a number by which addition the resultant becomes zero.

For example, the additive inverse of 3 is -3

Now,

The additive inverse of -4 will be 4 which is positive, not negative.

The additive inverse of 0 is 0 which is not negative.

Hence "The additive inverse of a number is not always negative".

For more about the number system,

brainly.com/question/22046046

#SPJ2

No it isn’t

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. ... For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive. Zero is the additive inverse of itself.

2/3z = 4 1/4
Solve For Z ?

Answers

The solution to the given equation is z = 51/8.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given equation is:

(2/3)z = 4 1/4

First, we can convert the mixed number on the right-hand side to an improper fraction:

4 1/4 = 4 + 1/4 = 16/4 + 1/4 = 17/4

Now, we can rewrite the equation as:

(2/3)z = 17/4

To isolate z, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):

(3/2) ×(2/3) × z = (3/2) × (17/4)

z = (3/2) × (17/4)

z = (3 × 17) / (2 × 4)

z = 51/8

Therefore, the solution to the equation is z = 51/8.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ7

The answer is z = 5/18

What are the multiples of 12,7,5,18,14,8?? Please explain !!!

Answers

The first 15 multiples of 5, 7, 8, 12, 14, 18:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270

The multiples:
12: 12,24,36,48,60,72,84,96,108,120,132,144,156,168,180,192,204,216,228
7: 7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147
5: 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110
18: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288,306,324
14: 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252
8: 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160

Hope this helps! :-)

You want to put $2,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest? A-1 B-6.25 C-10 D-25

Answers

I=Prt
Interest=principal×rate×time
500=2000×0.025×y (for years)
500=50y
10=y so
C) 10 years

The required it will take 10 years to earn $500 in interest. Option C is correct.

What is simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

SI= Principal×rate×time]

Here,
The formula for simple interest is:

I = Prt

We know that the principal (P) is $2,000, the interest rate (r) is 2.5% or 0.025 as a decimal, and we want to find the time (t) it takes to earn $500 in interest.

Substituting these values into the formula, we get:

$500 = 2,000 * 0.025 * t

$500 = 50t

t = 500 / 50 = 10 years

Therefore, it will take 10 years to earn $500 in interest.

Learn more about simple interests here:

brainly.com/question/26457073

#SPJ6

Find the leg of each isosceles right triangle when the hypotenuse is given the measure 12 cm