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BabaBlast [244]
3 years ago
12

One serving of a cereal is 3/4 cup. Each box of cereal has about 9 cups of cereal and costs $3.80. Is the price per serving grea

ter than $0.50? Complete the explanation.
Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

price_{cup} = \frac{3.8}{9} = 0.42

Since each serving is \frac{3}{4} of a cup, then it's price has the same proportion and is given by:

price_{serving} = \frac{3}{4}*0.42 = 0.315

The price per serving is $0.315, therefore, it's less than $0.5

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Which is the correct step below for using the grouping method to factor the following polynomial? 8x - 6 - 12x2 + 9x
IrinaVladis [17]
8x - 6 - 12x^2 + 9x

2(4x-3)-3x(3x-3)

=> (2-3x)(3x-3)

=> 3(x-1)(2-3x)
4 0
3 years ago
Read 2 more answers
If one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar​
enot [183]

Answer:

Step-by-step explanation:

£63 = 135 × 63

       = Rs . 8505

Rs . 8505 = 8505 / 105

                 = $81

6 0
2 years ago
You have 2 job offers with the following options. Option 1: You are paid $30
kozerog [31]

Answer:

It takes 6 hours for both to reach an equal paid.

Step-by-step explanation:

You have to form an expressions in terms of x where x determine the number of hours :

Option 1,

$(30 + 9x)

Option 2,

$(14x)

Next, you have to compare it since they want to find out how many hours they work until they reach the same amount :

30 + 9x = 14x

30 = 14x - 9x

30 = 5x

5x = 30

x = 30÷5

x = 6

8 0
3 years ago
What is the amount of interest earned with a deposit of 7,000 at 6.5% for 120 days
aev [14]
The interest figure always means the interest for a year.

120 days is 1/3 of a year, so you'll only earn 1/3 of 6.5% .

6.5%  =  0.065

1/3 of that is 0.02167 .

(0.02167) x (7,000) =  151.67
3 0
3 years ago
Read 2 more answers
Expand using the properties and rules for logarithms
malfutka [58]

Consider expression \log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).

1. Use property

\log_a\dfrac{b}{c}=\log_ab-\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.

2. Use property

\log_abc=\log_ab+\log_ac.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.

3. Use property

\log_ab^k=k\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.

4. Use property

\log_{a^k}b=\dfrac{1}{k}\log_ab.

Then

\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.

Answer: correct option is B.

7 0
4 years ago
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