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2 years ago

A red card is drawn from a standard deck of 52 playing cards. If the red card is

Mathematics

2 answers:

creativ13 [48]2 years ago

8 0

Answer: 26/51

Step-by-step explanation:Half of the 52 cards are black, and if you remove the one red card there are only 51 cards left, so the answer is 26 lack cards/52 total cards.

marta [7]2 years ago

3 0

Idk I need points sorry

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54 students fit on a bus. There are 125

vfiekz [6]

Answer: 3 buses

Step-by-step explanation: If 54 students fit on a bus, and 125 students are in 8th grade,

You should divide.

125 divided by 54 is 2.31...

we can't have 2.31... buses, so we say 3 buses.

3 0

11 months ago

Read 2 more answers

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

ArbitrLikvidat [17]

Answer:

$9327

Step-by-step explanation:

Apparently, the cost function is supposed to be ...

C(x) = 0.4x^2 -112x +17167

This can be rewritten to vertex form as ...

C(x) = 0.4(x^2 -280) +17167

C(x) = 0.4(x -140)^2 +17167 -0.4(19600)

C(x) = 0.4(x -140)^2 +9327

The vertex of the cost function is ...

(x, C(x)) = (140, 9327)

The minimum unit cost is $9327.

_____

<em>Comment on the question</em>

You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.

8 0

2 years ago

Write two equivalent fractions for 5/10

shtirl [24]

1/2 and 10/20

to get 1/2 you have to divide 5/10 by 5:

5 / 5 1
----- = -----
10 / 5 2

to get 10/20 you have to multiply 5/10 by 2:

5 * 2 10
----- = ----
10 * 2 20

Hope it helps! =)

7 0

2 years ago

Read 2 more answers

Put the fractions in order smallest to largest<br> 7/10, 2/3 , 4/5, 11/15

Brrunno [24]

Answer:

Step-by-step explanation:

2/3, 7/10, 11/15, 4/5

8 0

2 years ago

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

2 years ago

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