Question

Jody has a rectangular piece of fabric 7/8 yard long and 4/5 yard wide. A) What is the area of the piece of fabric? B) Jody decides to share the piece of fabric equally with her friend. What is the area of the piece of fabric each person gets?

168

likes
838 views

Answer to a math question Jody has a rectangular piece of fabric 7/8 yard long and 4/5 yard wide. A) What is the area of the piece of fabric? B) Jody decides to share the piece of fabric equally with her friend. What is the area of the piece of fabric each person gets?

Expert avatar
Andrea
4.5
81 Answers
Solution:
A) Calculate the area of the piece of fabric.
1. Given dimensions of the fabric:
- Length: \frac{7}{8} yard
- Width: \frac{4}{5} yard

2. Use the formula for the area of a rectangle: \text{Area} = \text{Length} \times \text{Width}
\text{Area} = \frac{7}{8} \times \frac{4}{5}

3. Multiply the fractions:
- Multiply numerators: 7 \times 4 = 28
- Multiply denominators: 8 \times 5 = 40

4. Area of the fabric:
\text{Area} = \frac{28}{40}

5. Simplify the fraction:
\frac{28}{40} = \frac{7}{10}

B) Calculate the area each person gets when shared equally.
1. Divide the area by 2:
\text{Area each person gets} = \frac{\frac{7}{10}}{2}

2. Rewrite the division as multiplication by reciprocal:
\text{Area each person gets} = \frac{7}{10} \times \frac{1}{2}

3. Perform the multiplication:
- Multiply numerators: 7 \times 1 = 7
- Multiply denominators: 10 \times 2 = 20

4. Area each person gets:
\text{Area each person gets} = \frac{7}{20}

Answer:
The area of the piece of fabric is \frac{7}{10} square yards. Each person gets a piece of fabric with an area of \frac{7}{20} square yards.

Frequently asked questions (FAQs)
Question: What is the limit as x approaches 3 of (2x^3 - 5x^2 + x + 6)?
+
Question: What is the unit vector in the direction of [3, -4, 0]?
+
What is the smallest value of n that satisfies Fermat's theorem for the equation x^n + y^n = z^n?
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
The patient is prescribed a course of 30 tablets. The tablets are prescribed “1 tablet twice a day”. How many days does a course of medication last?
-6(3x-4)=-6
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
X^2 = 25
A food delivery company charges on average a delivery fee of $5 per order (including food and shipping) and has monthly fixed costs of $600. If the average cost of each meal delivered that is revenue for the company is $10 and the company has a monthly profit of $800, how many orders must they deliver per month?
A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.
The average number of babies born at a hospital is 6 per hour. What is the probability that three babies are born during a particular 1 hour period?
Two business partners have a bank balance of $17,942.00. After the first year their interest brings their balance to $18,928.91. What rate of interest is earned?
Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.
A storage maker price is $2.50 per square feet. Find the price of a custom shed 4 yards long, and 5yards wide and 8 feet tall
Take the limit of (sin(x-4))/(tan(x^2 - 16) as x approaches 4.
A loan is repaid with payments of $2226 made at the end of each month for 12 years. If interest on the loan is 5.2%, compounded semi-annually, what is the initial value of the loan? Enter to the nearest cent (two decimals). Do not use $ signs or commas.
2X+2=8
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
Find the vertex F(x)=x^2-10x
How much does 7.2 moles of ammonium dichromate weigh? (NH4)2Cr2O7
2p-6=8+5(p+9)
(3.1x10^3g^2)/(4.56x10^2g)
The car with an irresponsible driver starts to brake when it goes through a red light. When passing the traffic light, he does so at a speed of 115 kph in the right lane. Further ahead, 70 meters from the traffic light, a child is crossing the street and falls. If the effect of the car's brakes is equivalent to a deceleration of magnitude 5.7m/s². Is the child hit by the car or not? How far from the traffic light does the car stop?