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BaLLatris [955]

2 years ago

14

A knife is twice the cost of a spoon. 8 spoons and 12 knives cost ?46.08. Work out the cost of 1 knife.

1 answer:

oksian1 [2.3K]2 years ago

4 0

Let Rs.x and Rs.y be the cost of a knife and a spoon respectively.
From question,
x = 2y --- (1)
and,
12x + 8y = 46.08
=> 12×2y + 8y = 46.08
=> 24y + 8y = 46.08
=> 32y = 46.08
=> y = 46.08/32
=> y = 1.44
putting y = 1.44 in (1)
=> x = 2×1.44
=> x = 2.88
Therefore, cost of a knife is Rs 2.88

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Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in

GuDViN [60]

Answer:

18.67% of bills are greater than $131

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 109.72, \sigma = 24$

What proportion of bills are greater than $131

This proportion is 1 subtracted by the pvalue of Z when X = 131. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{131 - 109.72}{24}$

$Z = 0.89$

$Z = 0.89$ has a pvalue of 0.8133

1 - 0.8133 = 0.1867

18.67% of bills are greater than $131

7 0

1 year ago

Lucy wants to have a fun-filled day without spending too much money. The local zoo charges a $25 entry fee and a parking fee of

ehidna [41]

Answer:

The required system of equations is,

$y=25+x$

$y=20+2x$ .

Step-by-step explanation:

Let the number of hours spent by Lucy = x

It is given that,

Local zoo charges initial fee $25 and per hour fee $1.

So, the equation representing the cost if Lucy stays 'x' hours is,

$y=25+x$ in dollars.

Also, Local citcus charges initial fee $20 and per hour fee $2.

So, the equation representing the cost if Lucy stays 'x' hours is,

$y=20+2x$ in dollars.

Since, the objective function for the situation is to 'minimize the cost'.

So, upon solving the equations, we will get the minimum value as,

25+x = 20+2x

i.e. x= 5

Thus,

$y=25+x$ implies $y=25+5$ i.e. y= $30

$y=20+2x$ implies $y=20+2\times 5$ i.e. $y=20+10$ i.e. y= $30

Thus, the minimum value is $30.

The required system of equations is,

$y=25+x$

$y=20+2x$ .

8 0

2 years ago

198 cents to 234 cents using a fraction in simplest form

Irina-Kira [14]

Answer:

11/13

Step-by-step explanation:

198/234

(198/18)/(234/18)

11/13

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Jeff brought a bottle of water for $2.He also brought some hot dogs for $3 each.Jeff did not spend more than $14 on the hot dog

Gala2k [10]

The answer would be D because 3h + 2 (water) has to be less than or equal to > 14

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1 year ago

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Thrice of product of five and b is reduced by 2

Diano4ka-milaya [45]

3 times the product of 5 and b is reduced by 2
3*(5*b)-2
15b-2

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2 years ago