Ajar containing only nickels and dimes contains a total of 60 coins. the value of all the coins in the jar is $4.45. solve by elimination to find the number of nickels and dimes that are in the jar.

The number of nickels and dimes that are in the jar is 31 and 29 respectively.

Given that,

Based on the above information, the calculation is as follows:

x + y = 60 (1)

5x + 10y = 445(2)

Here we multiply by 5 in equation 1

5x + 5y = 300

5x + 10y = 445

-5y = 145

y = 29

So, x = 60 - 29

= 31

Therefore we can conclude that the number of nickels and dimes that are in the jar is 31 and 29 respectively.

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31 nickels and 29 dimes

Step-by-step explanation:

Nickels (.05): x

Dimes (.10): y

 Value:     .05x + .10y = 4.45 →  -20(.05x + .10y = 4.45)   →   -x - 2y = -89

Quantity:        x  +    y  = 60   →       1(x  +    y  = 60)           →   x  + y = 60

                                                                                                       -y  = -29

                                                                                                        y  =  29

Next, substitute "29" for "y" into either equation and solve for "x":

x +  y  = 60

x + 29 = 60

x          = 31

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;