A boat is moving at a velocity of

The morning announcements said that two out of every seven sixth-grade students in the school have an overdue library book. Jasm

gregori [183]

Answer:

We need to know how many students are in sixth grade and compare the real number with the 84 sixth graders that Jasmine claims to be.

Step-by-step explanation:

We would need to know how many students are in sixth grade to determine who is right. If two students out of seven have an overdue library book and grace claims that 24 of them are overdue by that means, what we would need to do is divide the allegedly 24 students between 2. Now we have 12 pairs of students that have overdue books. For every pair of students in sixth grade that have overdue books, seven students don’t have overdue books, so now we multiply 12 pairs of students with overdue books times 7 students who don’t have overdue books. By Jasmine calculation then, sixth grade have 84 students.

If sixth grade have indeed 84 students, Jasmine is right. If there are not 84 students in sixth grade, she is wrong. Grace is right if there are fewer students than 84 in sixth grade.

Have a nice day! :D

6 0

3 years ago

Help help help help help

seraphim [82]

Answer:

x<-2

Step-by-step explanation:

-5x+2/6 >2

-5x+2>12

-5x>12-2

-5x>10

-x>2

x<-2

6 0

2 years ago

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on ti

user100 [1]

Answer:

Flower bed A has circumference = 31 feet, area = 79 feet²

Flower bed B has circumference = 38 feet, area = 113 feet²

Step-by-step explanation:

* Lets revise the rules of the circumference and the area of the circle

- The circumference of the circle = 2πr

- The Area of the circle = πr²

- r is the radius of the circle and it is half the diameter of the circle

# Flower bed A has a diameter 10 feet

∵ The radius = 1/2 the diameter

∴ The radius = 1/2 × 10 = 5 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 5 = 31.42 ≅ 31 feet

∵ The area = πr²

∴ The area = π (5)² = 78.54 ≅ 79 feet²

* Flower bed A has circumference = 31 feet, area = 79 feet²

# Flower bed B has a radius 6 feet

∵ The circumference = 2πr

∴ The circumference = 2 × π × 6 = 37.70 ≅ 38 feet

∵ The area = πr²

∴ The area = π (6)² = 113.10 ≅ 113 feet²

* Flower bed B has circumference = 38 feet, area = 113 feet²

* These answers not in the choices

8 0

3 years ago

A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ

Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0

3 years ago

Which bracelet has the highest portion of gold? Bracelet: ______

Tanya [424]

Answer:

B

Step-by-step explanation:

6 0

3 years ago

A boat is moving at a velocity of –14 miles per hour.