Step-by-step explanation: There are two 1/2 s so 1/2 + 1/2 is 2/2 or 1 whole. Next is 1. There are 4 ones. 1+1+1+1 = 4. There is one 1 1/2. There are two 2. 2+2 is 4. There are two 2 1/2 so 2 1/2 + 2 1/2 is 4 2/2 which is 5. Now you have to add all the answers together. 1 +4+ 1 1/2 +4+5 which is 15 and 1/2. 15 1/2 is the answer.

5 0

4 years ago

Read 2 more answers

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3 + 10 + 17 +

sashaice [31]

Answer:

Lower limit of the sum: 0

Upper limit of the sum: 17

Explicit formula: ∑ $_{i=0} ^{17}$ (3+7i)

Step-by-step explanation:

Noting that each row has 7 more beads than the previous one and that the series also begins with 3, the formula is:

∑ $_{i=0} ^{17}$ (3+7i)

The lower limit is 0, since 3+ (7 * 0) = 3

When i = 0 you get the value of beads from the first row, when i = 1 you get the value of beads from the second row and so on. Given this, the upper limit is 17.

8 0

3 years ago

Jay owns some DVDs. Lamar lives next to Jay and three houses from Freda. Lamar has 2 fewer DVDs than Jay. Davina lives on the ot

podryga [215]

Answer:

Step-by-step explanation:

Freda lives in house 6. Lamar lives 3 houses from Freda, so lives in house 3. Jay lives next to Lamar, but not in house 2, which is Bart's. So, Jay lives in house 4 and Davina lives in house 5, on the other side of Jay from Lamar.

Davina lives in house 5, so has the most DVDs.

Since Freda gave p DVDs to Jay, she has 17-p. Lamar has p-2, Bart has p+4, Tara has 4p-13, and Davina has the most at 3(p-2).

We want Davina to have the most DVDs, so there are some inequalities that must be true:

3(p-2) > 4p-13 ⇒ p < 7

3(p-2) > p +4 ⇒ p > 5

The only value of p satisfying both of these requirements is p = 6.

_____

Tara lives in house 1 and has 11 DVDs.

Bart lives in house 2 and has 10 DVDs.

Lamar lives in house 3 and has 4 DVDs.

Jay lives in house 4 and has 6 DVDs.

Davina lives in house 5 and has 12 DVDs. (the most)

Freda lives in house 6 and has 11 DVDs.

5 0

3 years ago