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Lelechka [254]
3 years ago
7

Multiply the two mixed numbers 4 1/2 x 3 2/3 simplify your answer and write it as a mixed number

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Answer: 16 1/2

Step-by-step explanation:

It's easiest to multiply improper fractions and then to convert them back into mixed numbers, so 4 1/2 would become 9/2 and 3 2/3 would become 11/3. \frac{9}{2} *\frac{11}{3}= 99/6. Now just simplify to 33/2 and then convert back into a mixed number.  16 1/2

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Dori spent 1/5 of her money on a toy boat and scuba goggles. The toy boat cost 2 times as much as the goggles. The toy boat cost
Korolek [52]

Answer:

Dori has $48 left.

Step-by-step explanation:

The boat costs twice as much as the goggles, divide 8 by 2 to find the price of the goggles. The price of the goggles is $4.

Add $8 and $4 to get $12. This is the total money Dori spent.

Since this is 1/5 of her money, multiply $12 by 5 to get $60. This is the money Dori had.

Subtract the $12 from the $60 to get $48. This is the money Dori has left.

4 0
3 years ago
You borrow money for 4 years. The total amount that you repay is $7,840, which includes $840 in simple interest. How much was th
Lina20 [59]

Answer:

  • principal: $7000
  • interest rate: 3%

Step-by-step explanation:

amount repaid = principal + interest

$7840 = principal + $840

$7000 = principal . . . . . . . . subtract $840 from both sides of the equation

___

I = Prt

840 = 7000·r·4

840/(4·7000) = r = 0.03 = 3%

The principal was $7000; the interest rate was 3%.

6 0
3 years ago
The PTO is hosting a donut and coffee day at the shcool. Each box of donuts and costs $9.00 and each cup of
vodka [1.7K]

Answer:

The school where the donut and coffee day will take place.

The number of boxes of donuts the PTO bought.

The number of cups of coffee the PTO bought.

3 0
3 years ago
A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
jarptica [38.1K]

Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.

<u>Given the following data:</u>

  • Amplitude = 3
  • Period = π
  • Phase shift = π/2

<h3>How to determine the y-intercept of this function?</h3>

Mathematically, a sine function is modeled by this equation:

y = Asin(ωt + ø)

<u>Where:</u>

  • A represents the amplitude.
  • ω represents angular velocity.
  • t represents the period.
  • ø represents the phase shift.

Also, the period of a sine wave is given by:

t = 2π/ω

2 = 2π/ω

ω = 2

Substituting the given parameters into the equation, we have;

y = 3sin(2t + π/2)

At t = 0, we have:

y = 3sin(2(0) + π/2)

y = 3sin(π/2)

y = 3sin(90)

y = 3 × 1

y = 3.

In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.

Read more on phase shift here: brainly.com/question/27692212

#SPJ1

5 0
2 years ago
The answer to the question please
son4ous [18]
10 flute players
the ratio will be 6:5 on both
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