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Svetach [21]
2 years ago
13

Angela uses 2/3 cups of strawberries to make 5/6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter

of smoothie?
1. 5/9 cups per liter
2. 3/4 cups per liter
3. 4/5 cups per liter
4. 5/4 cups per liter
Mathematics
1 answer:
Leviafan [203]2 years ago
6 0

5/6 litre of Smoothie = 2/3 cups of smoothie

Divide both sides by 5/6

So 1 litre of smoothie = 2/3 ÷ 5/6 cup of smoothies

= 2/3 × 6/5 cup of smoothies

= 4/5 cup of smoothies

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Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could
RSB [31]

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins.  Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this.  So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes.  Then if D is the number of dimes, 5C +  25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32.  The smallest D can be is 2, leaving 3C = 30 and thus C = 10.  So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

8 0
2 years ago
Read 2 more answers
A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
svet-max [94.6K]

Answer:

P(working product) = .99*.99*.96*.96 = .0.903

Step-by-step explanation:

For the product to work, all four probabilities must come to pass, so that

P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

where

P(Part-1) = 0.96

P(Part-2) = 0.96

P(Part-3) = 0.99

P(Part-4) = 0.99

As all parts are independent, so the formula is P(A∩B) = P(A)*P(B)

P (Working Product) =  P(Part-1)*P(Part-2)*P(Part-3)*P(Part-4)

P (Working Product) = 0.96*0.96*0.96*0.99*0.99

P(Working Product) = 0.903

3 0
2 years ago
The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .
maxonik [38]

Answer:

<h2>The equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.</h2>

Step-by-step explanation:

The equation of a hyperbola is represented by \frac{(y - k)^{2} }{b^{2} } - \frac{(x - h)^{2} }{a^{2} } = 1, where (h, k) is the center of the hyperbola.

As per the given condition, h = -2 and k = 4.

Thus, the equation becomes \frac{(y - 4)^{2} }{b^{2} } - \frac{(x + 2)^{2} }{a^{2} } = 1.

One vertex is (-2, 7).

Hence, putting x = -2 and y = 7, we get b^{2} = 9.

The slope of the asymptote is \frac{b}{a}.

Hence, \frac{b^{2} }{a^{2} } = \frac{1}{4} \\a^{2} = 36.

Thus, the equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.

7 0
2 years ago
What is the quotient?<br> -4/5^2
Delicious77 [7]

Answer:

by using calculator

-16/5

4 0
2 years ago
You and a friend each randomly draw a card from a standard deck. What is the probability that at least one of you is holding a f
Andreyy89

Answer:

0.24

Step-by-step explanation:

Total cards = 52

Face cards = heart {K,Q,J} , Spade {K,Q,J} , Club {K,Q,J} , Diamond{K,Q,J} = 12

Now we are given that You and a friend each randomly draw a card from a standard deck.

Probability that no one getting face card:

Favorable events = total cards - face cards = 52 -12= 40

Total cards = 52

So, probability that no one is getting face card = \frac{40}{52} =0.76

Now we are supposed to find the probability that at least one of you is holding a face card

So, probability = 1 - probability that no one is getting face card

                        =1 - 0.76

                        = 0.24

So, probability that at least one of you is holding a face card is 0.24

8 0
2 years ago
Read 2 more answers
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