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crimeas [40]
3 years ago
15

Hot dogs come in packages of 8. hot dog buns come in packages of 12. if grace wants to have enough to serve 24 people and have n

one left over, how many packages of hot dogs and hot dog buns should she purchase?
Mathematics
1 answer:
OLga [1]3 years ago
5 0
She would by 3 packages of hot dogs and 2 packages of hot dog buns. This is because 3*8 would be 24 and 12*2 is also 24. These would both be the minimum amount of packages.
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The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co
Thepotemich [5.8K]

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

<u>Coordinates of the point B':</u>

The general rule to rotate the point 90° counterclockwise around the origin is given by

(x, y) \rightarrow(-y, x)

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

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3 0
2 years ago
kalen has a 60 gallon fuel tank. the fuel gauge points to 1/4 how mcuh fuel does she need to buy to fill the tank
murzikaleks [220]

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45 Gallons

Step-by-step explanation:

7 0
2 years ago
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Forces of 9 lbs and 13 lbs act at a 38º angle to each other. Find the magnitude of the resultant force and the angle that the re
fiasKO [112]

Answer: R=20.84\ lb\quad 22.57^{\circ},15.43^{\circ}

Step-by-step explanation:

Given

Two forces of 9 and 13 lbs acts 38^{\circ} angle to each other

The resultant of the two forces is given by

\Rightarrow R=\sqrt{a^2+b^2+2ab\cos \theta}

Insert the values

\Rightarrow R=\sqrt{9^2+13^2+2(9)(13)\cos 38^{\circ}}\\\Rightarrow R=\sqrt{81+169+184.394}\\\Rightarrow R=\sqrt{434.394}\\\Rightarrow R=20.84\ lb

Resultant makes an angle of

\Rightarrow \alpha=\tan^{-1}\left( \dfrac{b\sin \theta}{a+b\cos \theta}\right)\\\\\text{Considering 9 lb force along the x-axis}\\\\\Rightarrow \alpha =\tan^{-1}\left( \dfrac{13\sin 38^{\circ}}{9+13\cos 38^{\circ}}\right)\\\\\Rightarrow \alpha =\tan^{-1}(\dfrac{8}{19.244})\\\\\Rightarrow \alpha=22.57^{\circ}

So, the resultant makes an angle of 22.57^{\circ} with 9 lb force

Angle made with 13 lb force is 38^{\circ}-22.57^{\circ}=15.43^{\circ}

7 0
3 years ago
Read 2 more answers
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn tomorrow if she works 12 hours at the s
Nutka1998 [239]

Answer:

34/4 = 8.5 dollars per hr

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First step: find the unit rate (how much she earns per hour )

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REMEMBER TO ADD THE DOLLAR SIGN

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3 years ago
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