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tankabanditka [31]
3 years ago
12

For each fraction, select the most appropriate estimate. 36 40 choose.. 1 3 choose.. 70 100 choose.. 1 8 choose.. Options: Close

st to 0 Closest to one half Closest to 1
Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Answer:

Convert each fraction to its percentage form:

= 36 / 40

= 90%

= 1/3

= 33.3%

= 70/100

= 70%

= 1 / 8

= 12.5%

Looking at the percentages:

= 36 / 40 is closest to 1.

= 1/3 <u>and</u> 70/100 are closest to one half which is 50%

= 1/8 is closest to 0.

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Garcia's Grill offers 77 side dishes, 55 types of steak, and 88 toppings. How many different smothered steak dinners can be made
svet-max [94.6K]

Answer:

Therefore the total number of ways that the customer can order the smothered steak dinner  is 9800.

Step-by-step explanation:

There are 7 side dishes, and  types of stake and 8 toppings.

The customer will have a smothered steak dinner.

The smothered steak dinner will consist of steak and 3 different toppings and 4\binom{8}{3} = \frac{8!}{3! \times 5!}  = 56 different side dishes.

The number of ways steak can be selected is =\binom{5}{1} = \frac{5!}{1! 4!}  =5

The number of ways toppings can be chosen is  = \binom{8}{3} = \frac{8!}{3! 5!}  = 56

The number of ways side dishes can be chosen = \binom{7}{4} = \frac{7!}{4!3!}  = 35.

Therefore the total number of ways that the customer can order the smothered steak dinner  is

= 5 × 56 × 35  = 9800.

7 0
3 years ago
Jill makes $450 per week working in the human resources department. What is her annual salary?
mixer [17]

you didnt give much context but excluding breaks she might get it should be 24,400

450(x). x being weeks in a year (52)

5 0
3 years ago
Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc
KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = x

Money spent on a pair of shoes = $175

Remaining money = x-175

<u>As she spent 1/9 of the remaining money on a shirt.</u>

Money spent on shirt = \frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}

As he still had \frac{4}{7} of his money left:-

Money left = \frac{4}{7}\ of\ his\ money=\frac{4x}{7}

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\

\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}

Subtracting both sides by x and adding both sides by \frac{x}{9}

\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}

Taking LCM of 7 and 9, we get 63

\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}

Adding both side by -

\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}

By cross multiplication:

20x\times9=1400\times63\\180x=88200\\

Dividing both sides by 180

x=490

Therefore, total $490, she had at first.

3 0
4 years ago
Rachel is a lunchroom supervisor at West School. The children eat lunch at 15 long tables. When all tables are used, 240 childre
USPshnik [31]
The answer is c
\frac{240}{15 }  \\  = 16
5 0
3 years ago
Read 2 more answers
Help Please, im stuck on this question.
lions [1.4K]

Answer:

irrational

Step-by-step explanation:

3/4 + sqrt(2)

3/4 is rational

sqrt(2) is irrational

The sum of a rational and an irrational number is irrational

8 0
3 years ago
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