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SVEN [57.7K]
3 years ago
14

Olivia borrows $50 from her mom to buy some art supplies. Olivia spends $32.15 on art supplies and gives the change back to her

mom as part of what she has borrowed. Select the correct expressions and interpretations from Olivia's and her mom's points of view.
Mom's point of view: -$50 + $17.85
Olivia's point of view: 0 - $50 + $32.15
Olivia's point of view: $0 + $50 - $32.15 - $17.85
Olivia's mom is still owed $32.15.
Mom's point of view: -$50 - $17.85
Olivia paid her mom back $32.15
Olivia still owes her mom $17.85.
Mathematics
1 answer:
frutty [35]3 years ago
6 0

Mom's view is that she loses 50 dollars, but gains back 17.85 dollars as change from her daughter.

Olivia's view is that she gained 50 dollars from her mom, spent 32.15 dollars, then gave back the 17.85 change to her mom, so she didn't gain any money.


Mom's point of view: -$50 + $17.85 and Mom's point of view: -$50 + $17.85 are the correct answers, but technically, Olivia still owes her mom 32.15 dollars.

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A rectangle measures 4 1/2 inches by 2 3/4 inches, what is the area of the rectangle? Answer in fraction form.
makkiz [27]
12 and 3/8 or if you want it entirely in a fraction 99/8.
7 0
3 years ago
Three fourths divided by one eighths
Ilya [14]
3/4÷1/8 is the same as 3/4×8/1.
3×8=24
4×1=4
That becomes 24/4 which simplifies to 6. Your answer is 6.
4 0
3 years ago
What is the radian measure of the central angle of a circle of radius 1.5 meter that intercepts an arc of length 600 centimeters
Maksim231197 [3]

Radian measure of the central angle is 4 radian

<em><u>Solution:</u></em>

Given that,

A circle of radius 1.5 meter that intercepts an arc of length 600 centimeters

To find: Radian measure of the central angle

Let us find the circumference of circle

The circumference of circle is given as:

\text{ circumference of circle } = 2 \pi r

Where "r" is the radius of circle

\text{ circumference of circle } = 2 \times \pi \times 1.5 = 3 \pi

Therefore circumference of circle = 3 \pi meters , which subtends central angle of  2 \pi radian

Given that arc of length 600 centimeters. Let us convert 600 centimeter to meter

We know that, to convert centimeter to meter divide the length value by 100

\text{ 600 centimeter } = \frac{600}{100} \text{ meter } = 6 \text{ meter}

<u><em>Therefore arc of 6 meter will subtend a central angle of:</em></u>

\rightarrow \frac{6}{3 \pi} \times 2 \pi = 4

Therefore radian measure of the central angle is 4 radian

7 0
3 years ago
PLEASE HELP!!!!!! This season, the probability that the Yankees will win a game is 0.46 and the probability that the Yankees wil
tatuchka [14]

Answer:

Given:

Probability that the Yankees wins a game is

P(A) = 0.46

Probability that the Yankees loses a game is

P(A') = 1 - P(A') = 1 - 0.46 = 0.54

Probability that the Yankees scores 5 or more runs in a game is

P(B) = 0.59

Probability that the Yankees scores fewer than 5 runs in a game is

P(B') = 1 - P(B) = 1 - 0.59 = 0.41

Probability that the Yankees wins and scores 5 or more runs is

P(A⋂B) = 0.39

Applying the De Morgan's law, the probability that the Yankees scores fewer than 5 runs and they loses the game would satisfy:

1 - P(A'⋂B') = P(A) ⋃ P(B) = P(A) + P(B) - P(A⋂B)

or

1 - P(A'⋂B') = 0.46 + 0.59 - 0.39

or

1 - P(A'⋂B') = 0.66

=> P(A'⋂B') = 1 - 0.66 = 0.34

Applying the Bayes theorem, the probability that the Yankees would score fewer than 5 runs, given they lose the game:

P(B'|A')  = P(A'⋂B')/P(A')

or

P(B'|A') = 0.34/0.54 = 0.630

Hope this helps!

:)

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%284%20-%203x%29%20%3D%20%5Cfrac%7B1%7D%7B7%7D%20%283x%20-%204%29" id=
HACTEHA [7]

Answer:

1×(4-3x)/5=1×(3x×4)/7

(4-3x)/5=(3x-4)/7

7(4-3x)=5(3x-4)

28-21x=15x+21x

28+20=15x+21x

48=36x

48/36=x

x=4/3

6 0
2 years ago
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