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Andrew [12]
1 year ago
7

Ben has 5 3/4 cups of sugar he uses 2/3 cup of sugar to make cookies Then he uses 2 1/2 cups of sugar to make fresh lemonade How

many cups of sugar does Ben have left? PLZ HELP
Mathematics
1 answer:
Taya2010 [7]1 year ago
7 0
2 1/3 cups of sugar

5 3/4 - 2 1/2
3 1/4 - 2/3
24/ 7 - 8/7
16/7
simplified it is 2 1/3
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Eliot needs to replace a window that is in the shape of a semicircle.
USPshnik [31]

Answer:

7

\/

/

/

/

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////

Step-by-step explanation:

6 0
1 year ago
Of the total number of people on a cruise ship, 1/4 or child passengers. 2/5 of the remaining people were crew. There were 1320
Nuetrik [128]
<h2>462</h2>

Step-by-step explanation:

       Total number of people on the cruise ship was 1320.

\frac{1}{4}^{th} of the people were child passengers. Number of child passengers = \dfrac{1}{4}\times (\text{Total number of people})=\dfrac{1}{4}\times 1320=330

\frac{2}{5}^{th} of the people were crew. Number of people that were crew = \dfrac{2}{5}\times (\text{Total number of people})=\dfrac{2}{5}\times 1320=528

       Remaining people in the ship constitute the adult passengers.

       Number of adult passengers = (\textbf{Total number of people})-(\textbf{Total number of children})-(\textbf{Total number of crew})=1320-330-528=\textbf{462}

∴ Number of adult passengers = 462

5 0
2 years ago
Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be
musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 ​t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 ​t) − (35.5/100)H = 0

5cos( 2π/3 ​t) − 0.355 × 5 =0

5cos( 2π/3 ​t) − 0.1775 = 0

5cos( 2π/3 ​t) = 0.1775

cos( 2π/3 ​t) = 0.1775/5

cos( 2π/3 ​t) = 0.355

2π/3 ​t = cos^-1 (0.355)

2π/3 ​t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0
2 years ago
Read 2 more answers
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
6 0
2 years ago
The total number of degrees, D, in an n-sided polygon is given by the formula D=180(n-2). When Janelle solves for n, she gets n=
Rus_ich [418]
<span>D = 180 * (n -2)
D = 180n -360
180n = D +360
n = (D / 180) + 2

So, the answer is "A"
And we can test this with a square, sum of angles = 360
n = (D / 180) +2
n = (360 / 180) +2
number of sides = 4
correct

Source:
http://www.1728.org/polygon.htm



</span>
3 0
1 year ago
Read 2 more answers
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