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jeyben [28]
3 years ago
8

Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the

movie left to watch. How much of the movie did Tamia watch at
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer: Tamiya watched \dfrac16 of the movie at night.

Step-by-step explanation:

Let x = part of movie watched at night.

Given  : Tanya watched \dfrac12 of movie in the morning.

Part left to watch = \dfrac13

As per given, we have

\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16

Hence, Tamiya watched \dfrac16 of the movie at night.

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Theres 30 kilograms of 10% apple juice. How many kilograms of apples does it need to increase the current apple juice to 25%​?
raketka [301]

The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg

The given parameters;

  • <em>Mass of the apple juice, m = 30 kg</em>
  • <em>current percentage, = 10%</em>
  • <em>final percent after increment = 25%</em>

Let the mass added to increase the percentage to 30% = x

10% ----------------- 30 kg

25% ------------------ ?

= \frac{25 \times 30}{10} \\\\= 75 \ kg

The additional mass is calculated as;

x+ 30 = 75\\\\x = 75 - 30\\\\x = 45 \ kg

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.

Learn more about percentage and ratio here: brainly.com/question/11752721

6 0
2 years ago
Can you please explain and answer this question to me, (don't mind the blue dots, they are the answers of what I think, please l
Fofino [41]
I started with c, but you could’ve started with any box.

So I took the numbers in the c box (the black box in my picture) and divided to see which were multiples of two. They all were.

Then I went to a. All of a’s numbers were divisible by 7.

Then b. Two of them are divisible by 2, so that’s not the answer. None of them were divisible by 7, so there’s your answer!

Then d. Two are divisible by 7, so your rules is divisible by 2.

I hope this helps!

6 0
3 years ago
Find the value of x in the isosceles triangle shown below​
levacccp [35]

Answer:

x=10

Step-by-step explanation:

\frac{x}{2}=\sqrt{13^2-12^2}  \\x=2\sqrt{169-144} \\x=2\sqrt{25} \\x=2 \times 5=10

4 0
3 years ago
Expand &amp; simplify ( x − 1 ) ( x − 1 )
Svet_ta [14]

Answer:

x²-2x+1

Step-by-step explanation:

(x-1) (x-1)

(x-1)²

(x)²-2(x)(1)+(1)²

x²-2x+1

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3 years ago
A study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 P.M. on weekdays
Dima020 [189]

Answer:

Step-by-step explanation:

Given that a study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 P.M. on weekdays there is an average of four customers waiting in line.

Let X be the number of customers waiting in line

X is Poisson with parameter = 4

the probability that you visit Safeway today during this period and find:

a. No customers are waiting

P(X=0) = 0.018316

b. Four customers are waiting?

=P(x=4) =0.193567

c. Four or fewer are waiting?

=P(X\leq 4) = 0.628837

d. Four or more are waiting

=P(X\geq 4)=0.56653

8 0
3 years ago
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