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Gelneren [198K]
2 years ago
10

Ginger works at a restaurant and receives 15% discount in her meals .She correctly writes the expression p-0.15p to represent th

e amount she spends after her discount ,where p represents the amount of her total
Help me
Answer choices
1.15p
85p
0.85p
0.15p
Mathematics
1 answer:
Andru [333]2 years ago
7 0

Answer:

0.85p

.....................

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Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.
Shalnov [3]

Answer:

log(5/4)

Step-by-step explanation:

You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.

For example, the quotient rule:

log(\frac{x}{y}) = log(x) - log (y)

In this case, log(x) = log (5/6 ) and log(y)= log (2/3)

Therefore x = 5/6 and y = 2/3

Applying the rule:

log (5/6 )− log (2/3) = log(\frac{5/6}{2/3})

Solving the argument of the logarithm (The division of the fractions)

\frac{5/6}{2/3} = \frac{(5)(3)}{(6)(2)} =\frac{15}{12} =\frac{5}{4}

The equivalent form is:

log(5/4)

4 0
3 years ago
Please help <br> .........................................................
Veseljchak [2.6K]

Step-by-step explanation:

Because vertical angles have equal measure, angle CPB = 90 degrees. By extension, angle CPQ + angle QPB = 90 degrees

So 2x+4x+12=90

6x+12=90

6x=78

x=13

6 0
2 years ago
2 estimates for 1569 divided by 17
myrzilka [38]
The answer is 92 estimates 90


8 0
3 years ago
Read 2 more answers
A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard d
Anna [14]

Answer: (1583.63, 1672.37)

Step-by-step explanation:

Given : Sample size : n= 83

Sample mean : \overline{x}=1628

Sample standard deviation : \sigma=243

The population standard deviation(\sigma) is unknown .

The confidence interval for population mean :

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}

For 90% confidence , significance level =\alpha=1-0.90=0.10

Using t-distribution table , Critical t-value = t_{(\alpha/2, n-1)}=t_{0.05,82}=1.6636

, where n-1 is the degree of freedom.

Now ,  90% confidence interval for the mean square footage of all the homes in that city will be :-

1628\pm (1.6636)\dfrac{243}{\sqrt{83}}\\\\ 1628\pm (1.6636)(26.672715)\\\\\\\\\approx1628\pm 44.37\\\\=(1628- 44.37,\ 1628+ 44.37)\\\\=(1583.63,\ 1672.37)

Hence, the 90% confidence interval for the mean square footage of all the homes in that city = (1583.63, 1672.37)

7 0
3 years ago
Which of the following number is divisible by 5 729, 86, 970, 52
Anni [7]
970 all the others are not
4 0
3 years ago
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