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3 years ago

5

Todd has at most 14 dimes and nickels in his pocket and the total value of the coins is more than $1. If x represents the number

of dimes and y represents the number of nickels which system of inequalities can be used to determine how many of each coin todd has in his pocket.

1 answer:

sattari [20]3 years ago

5 0

Answer:

x+y≤14

10x+5y>100

Step-by-step explanation:

Got it right! Hope this helps!

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3. Solve 2log4y - log4 (5y - 12) = 1/2<br>

Ilia_Sergeevich [38]

Answer:

y = 4 or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2) remove logarithm

y^2/(5y-12) = 2 cross multiply

y^2 = 10y-24 rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0

3 years ago

What is the definition of marginal utility? A. The average utility from consuming a good or service multiplied by the number of

Ilya [14]

Answer: Option 'E' is correct.

Step-by-step explanation:

Marginal utility is the addition utility derived from each successive unit of a particular good.

so, marginal utility is the change in utility from consuming an addition unit of a good or service.

Mathematically, it is expressed as

$MU=\dfrac{\Delta TU}{\Delta Q}$

Hence, Option 'E' is correct.

4 0

3 years ago

Joel made some muffins. He gave 1/4 of of the muffins to a neighbor. He took 3/8 of the muffins to school. What fraction of the

dolphi86 [110]

Okay! So 1/4 = 2/8 and 3/8 = 3/8 3/8+2/8= 5/8
3/8 is your answer

6 0

3 years ago

Which is an equation of the line perpendicular to y = -3/4x + 1 and passes through (3, 4)?

topjm [15]

Answer:

Step-by-step explanation:

perp. 4/3

y - 4 = 4/3(x - 3)

y - 4 = 4/3x - 4

y = 4/3x

5 0

3 years ago

Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

<u> Manufacturer Relative Frequency </u>

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

3 0

3 years ago