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pychu [463]
3 years ago
10

Brenda pours laundry detergent from a bottle into the cap and then into the washing machine. Every time she fills the cap, the a

mount of detergent in the bottle changes by -0.26 liters. She fills the cap 3 1/4 times in all. John has a different bottle of detergent that is the same size. Every time he fills his cap, the amount of detergent in his bottle changes by -0.21 liters. He fills his cap 2 5/6 times in all. What was the total change for Brenda's bottle? What was the total change for John's bottle? Write as a decimal.
Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0
Brenda’s Bottle answer:

3 1/4 = 13/4 in improper fraction form.

13/4*-0.26 = -0.845. This is the difference in the change.

John’s Bottle answer:

2 5/6 = 17/6 in improper form

17/6*-0.21 = -0.595 in difference.

Thank you! I hope this helps!
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Explain, in complete sentences, three steps one could take to pay off their debts?
alexandr402 [8]
Borrow money from a relative, use credit cards to build up good credit, do a fundraiser. This is what you could do to pay off debts
7 0
3 years ago
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Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
3 years ago
A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above
tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

5 0
3 years ago
a line intersects the point (12,3) and has a slope of 4. what are the inputs to the point slope formula
astraxan [27]

Hey There,

The equation would be y = 4x - 45

Point slope formula

(y-y1)=m(x-x1)

Plug in the numbers

(y-3)=4(x-12)

Solve for y.

4 * x = 4x

4 * -12 = -48

Bring 3 to the other side (change the sign)

-48 +3 = 45

Therefore, the equation would be y = 4x - 45

4 0
3 years ago
Find the value of x<br> A.)25<br> B.)140<br> C.)5<br> D.)1
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Answer:

25 = x

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

5x+15 = 6x -10

Subtract 5x from each side

5x-5x+15 = 6x-5x -10

15 = x - 10

Add 10 to each side

15+10 = x-10+10

25 = x

5 0
3 years ago
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