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arsen [322]
3 years ago
11

Aaden is packing boxes into a carton that is 8 inches long, 8 inches wide, and 4 inches tall. The boxes are 2 inches long, 1 inc

h wide, and 1 inch tall. How many boxes will fit into the carton?
​
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

first multiply length×width×height,of the carton

8×8×4=256

then multiply length×width×height for boxes

2×1×1=2

divide 256 by 2

256÷2=128

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A gym teacher has $250 to spend on volleyball equipment. She buys 4 volleyball nets for $28 each. Volleyball cost $7 each. How m
Sonbull [250]
First find out how much the 4 volleyball nets are by using 4*28 which would equal to 112. Now subtract 112 from 250 and that leaves you with 138. Then you divide 138 by 7 which will give you about 19.7 which you need to take all decimals out since it isn’t an whole number. The gym teacher can only buy 19 volleyballs.
6 0
3 years ago
A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par
sasho [114]

The velocity of the particle is given by

v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du

Since a(t)=-4\sin2t and v(0)=7, we get

\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2

\implies v(t)=2\cos2t+5

Similarly, the position function is obtained via

x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du

We know v(t) and we're told that x(0)=0, so

\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t

\implies x(t)=\sin2t+5t

making the answer A.

3 0
3 years ago
What is the value of x
Anvisha [2.4K]

x + 75 + x + 125 = 180

2x = 180-75-125

2x = -20

x = -10

3 0
3 years ago
Read 2 more answers
In a popular casino​ game, you can bet one whether a ball will fall in an arc on a wheel colored​ red, black, or green. Say the
qaws [65]

Answer:

The expected net winnings for the bet are -$1.0526

Step-by-step explanation:

P(x =+$20) = P(Black outcome) = 18/38

P(x =-$20) = P(red outcome) + P(green outcome)

= 18/38 + 2/38 = 20/38

Hence the probability distribution of x = $20 , P(x) = 18/38

x = -$20, P(x) = 20/38

Expected value of the random variable x is given by ;

miu = Summation [xP(x)] = 20(18/38) - 20( 20/38)

= -$1.0526

hence, the expected net winnings for the bet are -$1.0526

This implies that if a player bet on a very large number of games, the player would on the average lose $1.0526 per single bet

8 0
3 years ago
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=20°, and GE = 75 feet. Find the length of EF to the nearest tenth of a foot.
LenKa [72]

Answer:80 feet

Step-by-step explanation:

Sum of < in a triangle is 180°

<G + <E + <F=180°

90 + 20 + < F = 110

< F = 70°

Using sine rule

sin G\EF = sin F\EG

sin90°\EF = sin70°\75

EF = 75sin90°\sin70°

= 79.81

=80 to the nearest tenth feet.

7 0
4 years ago
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