Is the number below a rational number? Use the drop-down menus to explain your answer.
1.1363636...
Click the arrows to choose an answer from each menu.
The decimal form of a rational number must
Choose…neither repeat nor terminate or terminate
either repeat or terminate or repeat. The number 1.1363636...
Choose..is or is not a rational number because
Choose…its digits do not terminate or the pair of digits, 36, repeats or its first two digits do not repeat or its digits will eventually terminate
The decimal form of a rational number must either repeat or terminate. The number 1.1363636... is a rational number because the pair of digits 36 repeats.
Solve
3 3/5x (-8 1/3)
To solve the expression:
3 3/5 * (-8 1/3)
First, convert the mixed numbers to improper fractions:
3 3/5 = (5 * 3 + 3)/5 = 18/5
-8 1/3 = (-3 * 8 + 1)/3 = -25/3
Next, multiply the fractions:
18/5 * -25/3
To multiply fractions, multiply the numerators together and the denominators together:
(18 * -25)/(5 * 3) = -450/15
Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15:
-450/15 = -30
Therefore, the solution is -30.
The table below shows the cost for different numbers of tickets purchased with no discount. On Fridays, the cost of each ticket is discounted by $2. How much will 9 tickets cost on Friday?
Number of Tickets 3 5 8
Cost (dollars) 21 35 56
Based on the given table, the cost for 3 tickets is $21, for 5 tickets is $35, and for 8 tickets is $56. However, the cost for 9 tickets on Friday is not directly provided in the table. To calculate the cost for 9 tickets on Friday, we need to consider that on Fridays the cost of each ticket is discounted by $2.
To find the cost for 9 tickets on Friday, we can first find the cost for 9 tickets without the discount using a proportional relationship based on the given data.
The cost for 1 ticket, without any discount, can be calculated by dividing the cost for 5 tickets by 5:
35/5 = $7
Next, we can use the cost for 1 ticket to find the cost for 9 tickets without any discount by multiplying it by 9:
1 ticket cost * 9 = $7 * 9 = $63
Finally, we need to consider the $2 discount applied to each ticket on Friday. To find the cost for 9 tickets with the discount, we subtract $2 from the cost of each ticket without any discount:
9 tickets cost = 9 tickets without discount * (cost of 1 ticket without discount - discount per ticket)
9 tickets cost = $63 - $2 = $61
Therefore, 9 tickets will cost $61 on Friday.
Malcolm is filling bags with rice. He starts with a 5-
1-pound container of rice and fils
each bag with & pound of rice. How many bags of rice can Malcolm fill?
Click the arrows to choose an answer from each menu.
To determine the number of bag Malcom can fill,
Choose…divide 5/8 by 5 1/4 multiply 5 1/4 by 5/8 divide 5 1/4 by 5/8
Malcom’s can fill
Choose…5 8 3
full bags and
Choose…2/5 9/32 5/32
of another bag
To determine the number of bags Malcolm can fill, we need to divide the total amount of rice Malcolm has (5 1-pound container) by the amount of rice in each bag (1/2 pound).
So, we need to divide 5 1/4 by 1/2.
To perform this calculation:
1) Convert 5 1/4 to an improper fraction:
5 1/4 = (4 * 5 + 1)/4 = 21/4
2) Divide 21/4 by 1/2:
21/4 ÷ 1/2 = 21/4 * 2/1 = (21 * 2)/(4 * 1) = 42/4 = 10 1/2
Therefore, Malcolm can fill 10 full bags and 1/2 of another bag.
Choose from the drop down options that I gave you
To determine the number of bags Malcolm can fill,
Choose…divide 5 1/4 by 1/2
Malcolm can fill
Choose…10 1/2
full bags and
Choose…0 1/2
of another bag