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Ipatiy [6.2K]
2 years ago
5

Janet is making calzones to sell at her restaurant. She starts with 5 cans of tomato sauce and then uses 2/3 of the cans for the

first batch of calzones. How many cans of tomato sauce does Janet use for the first batch of calzones?
Mathematics
1 answer:
ruslelena [56]2 years ago
3 0

Answer:

3.3 cans

Step-by-step explanation:

When you divide 5 by 2/3, you get 3.3. Therefore, he used 3.3 cans

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Divide. 8 2/5÷(−2 1/5) Enter your answer as a mixed number, in simplified form, in the box.
Reptile [31]

Answer:

-3 \frac{9}{11}

Step-by-step explanation:


6 0
3 years ago
PLEASE HELP ASAP AND THANKS Find x
baherus [9]

Answer:

The value of x is 2.

Step-by-step explanation:

First, you have to make the left side into 1 fraction by making the denorminator the same :

\frac{x}{x - 2}  +  \frac{1}{5}

=  \frac{5x}{5(x - 2)}  +  \frac{x - 2}{5(x - 2)}

=  \frac{5x + x - 2}{5(x - 2)}

=  \frac{6x - 2}{5(x - 2)}

Then you have to do cross multiplication :

\frac{6x - 2}{5(x - 2)}  =  \frac{2}{x - 2}

(6x - 2)(x - 2) = 5(2)(x - 2)

6 {x}^{2}  - 12x - 2x + 4 = 10x - 20

6 {x}^{2}  - 14x + 4 = 10x - 20

6 {x}^{2}  - 14x + 4 - 10x + 20 = 0

6 {x}^{2}  - 24x + 24 = 0

6( {x}^{2}  - 4x + 4) = 0

{x}^{2} - 4x + 4 = 0

{x}^{2} - 2x - 2x + 4 = 0

x(x - 2) - 2(x - 2) = 0

(x - 2)(x - 2) = 0

x = 2

5 0
3 years ago
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
Please help with these two math problems<br><br> 1. 7^x ÷ 7^y =<br> 2. z^10x^y ÷ z^5 =
IceJOKER [234]

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  \dfrac{7^x}{7^y}=\boxed{7^{x-y}}

__

2.

  \dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}

8 0
3 years ago
Which describes this angle?
Arisa [49]

Answer:

Your answer would be the first option.

A right angle is 90 degrees

An obtuse angle is more than 90 degrees and that angle is more that 90 degrees

6 0
3 years ago
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