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3 years ago

How many 2/3 ounces portions each of saffron can Lily get from the 4 2/3 ounces of saffron she bought at the Union Market?

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer:

Step-by-step explanation:

4 $\frac{2}{3}$ can be written as $\frac{14}{3}$

number of $\frac{2}{3}$ portions = $\frac{14}{3}$ ÷ $\frac{2}{3}$

= $\frac{14}{3}$ x $\frac{3}{2}$

= $\frac{14}{2}$ = 7

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Witch is greater 15/4 or 17/5

Nady [450]

15/4 simplifies to 3 1/2 and 17/5 simplifies to 3 2/5 so 15/4 is greater

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3 years ago

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Two movie tickets and 3 snacks are $24. Three movies tickets and 4 snacks are $35. How much is a movie ticket and how much is a

Vsevolod [243]

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

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4 years ago

Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the

Sergio [31]

35 times 2 equals 70, therfor your answer is 70

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3 years ago

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A game is played with a played pentagonal spinner with sides marked 1 to 5. The scorer is on the side which comes to rest on the

slava [35]

Answer: probability of getting two 5s =0.04

probability of getting at least one 5 =0.36

probability of getting a total score greater than 5 =0.6

Step-by-step explanation:

Total outcomes on 1 spinner = 5

Then , total outcomes of spinning it 2 times= $5\times5 = 25$

Number of outcomes for getting two 5's = 1

Then, the probability of getting two 5s $=\dfrac{\text{Favorable outcomes of getting two 5's }}{\text{Total outcomes}}$

$=\dfrac{1}{25}=0.04$

Number of outcomes for getting at least one 5 [ {(1,5),(2,5),(3,5),(4,5),(5,5), (5,1), (5,2), (5,3), (5,4)} ] =9

Then, the probability of getting at least one 5 $=\dfrac{\text{Favorable outcomes of getting at least one 5 }}{\text{Total outcomes}}$

$=\dfrac{9}{25}=0.36$

Number of outcomes for getting a total score of 5, [ {(1,4),(4,1),(2,3),(3,2)} ] =4

Then, the probability of getting a total score of 5, $=\dfrac{\text{Favorable outcomes of getting a total score of 5 }}{\text{Total outcomes}}$

$=\dfrac{4}{25}$

Number of outcomes for getting a total score greater than 5 [ {(1,5),(5,1),(2,4),(4,2),(2,5), (5,2), (3,4),(4,3), (3,5), (5,3), (3,3), (4,5), (5,4), (4,4), (5,5)} ] =15

Then, the probability of getting a total score greater than 5, $=\dfrac{\text{Favorable outcomes of getting a total score greater than 5 }}{\text{Total outcomes}}$

$=\dfrac{15}{25}=\dfrac{3}{5}=0.6$

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4 years ago

Suppose f"(x) = -9 sin(3x) and f'(0) = -4, and f(0) = -2<br> Find f(pi/4)

grigory [225]

Answer:

9sin (3)and f,(0)=4,AND f(0)=2

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3 years ago