A used CD is a dollar more than one third the price of a new CD. If a new CD costs $18, how much is a used CD

kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards

adelina 88 [10]

He has 3/5 of his cards left because he had 62/105 of his cards and that simplified is 3/5

6 0

3 years ago

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a len

Ghella [55]

Answer:

The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.

Solution:

Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.

Hence, by above definition, we get

$\frac{l_{1}}{l_{2}} = \frac{n_{1}}{n_{2}}$ ------- eqn 1

From question, for a chain with 65 paper clips has a length of 97.5 inches, we get

$l_{1} = 97.5 \text { and } n_{1} = 65$

Similarly, for a chain with 14 paper clips with length to be found, we get

$n_{2}=14 \text { and } l_{2} = ?$

Now by using eqn 1, we can calculate the length of 14 paper clips is,

$\frac{97.5}{65}=\frac{l_{2}}{14}$

Rearranging the terms we get,

$l_{2 }= \frac{97.5 \times 14}{65}$

$l_{2}=21 \text { inches }$

Hence the length of chain with 14 paper clips is 21 inches.

3 0

3 years ago

An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.

valentina_108 [34]

Answer:

3 km per minute

Step-by-step explanation:

speed = distance / time

315km/105 minutes

= 3 km per minute

4 0

2 years ago

Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\

Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

$\frac{3}{4} + m = \frac{5}{4}$

Subtract-3/4 from both sides

$\frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4}$

Simplify

$m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2}$

7 0

3 years ago

What is the common ratio between successive terms in the sequence 2,4,8,-16, 32, 64,

marysya [2.9K]

Answer: The sequence does not have common ratio.

Step-by-step explanation:

By definition, a sequence with a constant ratio (common ratio) between terms is called a "Geometric sequence". In order to find the common ratio, it is necessary to divide any term in the sequence by the previous term.

In this case, given the sequence:

$2,4,8,-16, 32, 64,$

We get:

$4\div2=2\\\\8\div4=2\\\\-16\div8=-2\\\\32\div(-16)=-2\\\\64\div32=2$

Since the ratios between the terms are not constant, we can conclude that the sequence does not have common ratio.

3 0

3 years ago

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