Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?

s + h ≤ 1,500 s ≥ 2 h ≥ 2
2s + 3h ≤ 1,500 s ≥ 2 h ≥ 3
2s + 3h ≤ 1,500 s ≥ 300 h ≥ 120
300s + 120h ≤ 1,500
s ≥ 2 h ≥ 3

The correct answer is: 300s + 120h ≤ 1,500
s ≥ 2
h ≥ 3

HINT: From the information provided in the question, frame the inequalities.
Complete step by step solution:
Total yards of yarn Ryan has = 1500 yards
Number of scars is represented by s and number of hats is represented by h.
Total yards required for each scarf = 300 and this can be represented as 300s
Total yards required for each hat = 120 and this can be represented as 120h
This can be framed as the inequality 300s + 120h ≤ 1500…(i)
Number of scarves Ryan wants to knit is at least two and this can be represented as s ≥ 2…(ii)
Number of hats Ryan wants to knit is at least 3 and this can be represented as h ≥ 3…(iii)
So the 3 inequalities are :
300s + 120h ≤ 1500
s ≥ 2
h ≥ 3
Hence option D is the correct answer.

Tara rode her bicycle along a straight road from her home to a restaurant and ate lunch. She then continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?

The connection length between the two points of the line segment is used to measure the distance between them. The length of the line segment, the shortest distance between a point and a line, is the separation between them.
¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

s + h ≤ 1,500 s ≥ 2 h ≥ 2 2s + 3h ≤ 1,500 s ≥ 2 h ≥ 3 2s + 3h ≤ 1,500 s ≥ 300 h ≥ 120300s + 120h ≤ 1,500s ≥ 2 h ≥ 3

The correct answer is: 300s + 120h ≤ 1,500s ≥ 2h ≥ 3

Related Questions to study

If x4 - y4 = -15 and x2 - y2 = -3, what is the value of x2 + y2 ?

If x4 - y4 = -15 and x2 - y2 = -3, what is the value of x2 + y2 ?

Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?

Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?

At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?

At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?

A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?

A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?

Which of the following polynomials is equivalent to the expression above?

Which of the following polynomials is equivalent to the expression above?

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage, for how many miles of driving was Juliet charged? (Assume there is no tax.)

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage, for how many miles of driving was Juliet charged? (Assume there is no tax.)

Last year, 800 students attended the career fair at West High School. This year, the number of students who attended the career fair increased by 5%. How many students attended the career fair at West High School this year?

Last year, 800 students attended the career fair at West High School. This year, the number of students who attended the career fair increased by 5%. How many students attended the career fair at West High School this year?

x - 2 = Which of the following values of x is a solution to the equation above?

x - 2 = Which of the following values of x is a solution to the equation above?

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

s + h ≤ 1,500 s ≥ 2 h ≥ 2
2s + 3h ≤ 1,500 s ≥ 2 h ≥ 3
2s + 3h ≤ 1,500 s ≥ 300 h ≥ 120
300s + 120h ≤ 1,500
s ≥ 2 h ≥ 3

The correct answer is: 300s + 120h ≤ 1,500
s ≥ 2
h ≥ 3

If x⁴ - y⁴ = -15 and x² - y² = -3, what is the value of x² + y²?

If x⁴ - y⁴ = -15 and x² - y² = -3, what is the value of x² + y²?

$left parenthesis 2 x space plus space 6 right parenthesis space plus space open parentheses x squared space plus space 2 x space plus space 1 close parentheses$
Which of the following polynomials is equivalent to the expression above?

$left parenthesis 2 x space plus space 6 right parenthesis space plus space open parentheses x squared space plus space 2 x space plus space 1 close parentheses$
Which of the following polynomials is equivalent to the expression above?

x - 2 = $square root of straight x space plus space 10 end root$
Which of the following values of x is a solution to the equation above?

x - 2 = $square root of straight x space plus space 10 end root$
Which of the following values of x is a solution to the equation above?