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Lisa [10]
1 year ago
14

To make lemonade, you used one quart of water, one pint of lemon juice, and 9 ounces of your secret ingredient: honey. How much

lemonade did you make? in pints, cups, and ounces
Mathematics
1 answer:
WITCHER [35]1 year ago
4 0
To solve this problem you must follow the proccedure shown below:

 1. Amount of lemonade in pints:

 1 <span>quart of water=2 pints
 1 pint of lemon
 (9  ounces of honey)(0.0625 pints/1 ounce)=0.56 pints

 Total in pints=2 pints+1 pint+0.56 pints
 Total in pints=3.56 pints

 2. </span>Amount of lemonade in<span> cups:

 Total in cups=(3.56 pints)(2 cups/1 pint)
 Total in cups=7.12 cups

 
3. </span>Amount of lemonade in<span> ounces:

 Total in ounces=(7.12  cups)(8 ounces/1 cup)
 Total in ounces=56.96 ounces</span>
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Which expression is equivalent to (10x)^-3?
kolbaska11 [484]
(10x)^ (-3)
= 1/ [(10x)^3]
= 1/ [10^3* x^3]
= 1/ (1000x^3)

The final answer is 1/ (1000x^3), and I don't think there is a correct option to choose from. ( option c would be correct if it were written with round brackets)

Hope this helps~
4 0
1 year ago
Read 2 more answers
A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp
abruzzese [7]

Step-by-step explanation:

<em>"A total of 12 players consisting 6 male and 6 female badminton players are attending a training camp."</em>

<em />

<em>"(a) During a morning activity of the camp, these 12 players have to randomly group into six pairs of two players each."</em>

<em>"(i) Find the total number of possible ways that these six pairs can be formed."</em>

The order doesn't matter (AB is the same as BA), so use combinations.

For the first pair, there are ₁₂C₂ ways to choose 2 people from 12.

For the second pair, there are ₁₀C₂ ways to choose 2 people from 10.

So on and so forth.  The total number of combinations is:

₁₂C₂ × ₁₀C₂ × ₈C₂ × ₆C₂ × ₄C₂ × ₂C₂

= 66 × 45 × 28 × 15 × 6 × 1

= 7,484,400

<em>"(ii) Find the probability that each pair contains players of the same gender only. Correct your final answer to 4 decimal places."</em>

We need to find the number of ways that 6 boys can be grouped into 3 pairs.  Using the same logic as before:

₆C₂ × ₄C₂ × ₂C₂

= 15 × 6 × 1

= 90

There are 90 ways that 6 boys can be grouped into 3 pairs, which means there's also 90 ways that 6 girls can be grouped into 3 pairs.  So the probability is:

90 × 90 / 7,484,400

= 1 / 924

≈ 0.0011

<em>"(b) During an afternoon activity of the camp, 6 players are randomly selected and 6 one-on-one matches with the coach are to be scheduled.</em>

<em>(i) How many different schedules are possible?"</em>

There are ₁₂C₆ ways that 6 players can be selected from 12.  From there, each possible schedule has a different order of players, so we need to use permutations.

There are 6 options for the first match.  After that, there are 5 options for the second match.  Then 4 options for the third match.  So on and so forth.  So the number of permutations is 6!.

The total number of possible schedules is:

₁₂C₆ × 6!

= 924 × 720

= 665,280

<em>"(ii) Find the probability that the number of selected male players is higher than that of female players given that at most 4 females were selected. Correct your final answer to 4 decimal places."</em>

If at most 4 girls are selected, that means there's either 0, 1, 2, 3, or 4 girls.

If 0 girls are selected, the number of combinations is:

₆C₆ × ₆C₀ = 1 × 1 = 1

If 1 girl is selected, the number of combinations is:

₆C₅ × ₆C₁ = 6 × 6 = 36

If 2 girls are selected, the number of combinations is:

₆C₄ × ₆C₂ = 15 × 15 = 225

If 3 girls are selected, the number of combinations is:

₆C₃ × ₆C₃ = 20 × 20 = 400

If 4 girls are selected, the number of combinations is:

₆C₂ × ₆C₄ = 15 × 15 = 225

The probability that there are more boys than girls is:

(1 + 36 + 225) / (1 + 36 + 225 + 400 + 225)

= 262 / 887

≈ 0.2954

7 0
1 year ago
Which are the solutions of x2 = –13x – 4? 0, 13 0, –13
masha68 [24]
It's defiantly not C. I made a 90%  but missed this question. I hope this helps you cross it down.  My next guess would be D.

3 0
2 years ago
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△ABC is reflected over the x−axis and then reflected over the y−axis to form ΔA''B''C'' as shown below.
Nastasia [14]

Answer:

c

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Step-by-step explanation:

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V125BC [204]

Answer:

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Step-by-step explanation:

The desired equation equates 1/15 of the amount Lindsay earned with 1/10 the amount without the bonus:

StartFraction 1 Over 15 EndFraction left-parenthesis 10 h plus 60 right-parenthesis equals StartFraction 1 Over 10 Endfraction left-parenthesis 10 h right-parenthesis

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<em>Comment on the form of the answer</em>

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6 0
2 years ago
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