5 3/9 - 2 8/9 simplified

At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. The

Elodia [21]

In an arithmetic series, the value of the nth term is calculated using the equation,
an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.

3 0

3 years ago

Desiree ran 12 miles in 1 hr, 48 minutes, What was Desiree's average running rate, in minutes per mile

Rina8888 [55]

Answer: 1/9

Step-by-step explanation:

60 + 48 = 108 minutes

12 / 108 = 1/9

3 0

3 years ago

The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?

olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0

3 years ago

Jenny and her children went to the SeaWorld.She purchased adult ticket for herself and children tickets for her 2 boys. Tickets

dangina [55]

Given:

She purchased adult ticket for herself and children tickets for her 2 boys.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

To find:

The expression to represent the total cost of the tickets Jenny purchased.

Solution:

Let x represent the number of adult ticket purchase

and y represent the number of child tickets purchase.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

Total cost = 39.99x + 19.99y

Therefore, the expression for total cost is 39.99x + 19.99y.

She purchased one adult ticket and 2 child tickets.

Substitute x=1 and y=2 in the above expression.

Total cost = 39.99(1) + 19.99(2)

= 39.99 + 39.98

= 79.97

Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.

3 0

3 years ago

WILL GIVE BRAINLIEST <br><br> 5 = h/3 - 17 <br> h = ?<br> (h/3 is a fraction)

Nat2105 [25]

Answer:

h = 66

Step-by-step explanation:

We are given the equation of one variable h and we have to solve the equation for h.

The equation is given by $5 = \frac{h}{3} - 17$

⇒ $5 + 17 = \frac{h}{3}$ {Adding 17 to both sides}

⇒ $22 = \frac{h}{3}$

⇒ h = 22 × 3 {Since we know that if $\frac{a}{b} = c$ then we can write $a = bc$ }

⇒ h = 66 (Answer)

7 0

3 years ago

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