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Elza [17]
4 years ago
8

Help me on this question please

Mathematics
1 answer:
julia-pushkina [17]4 years ago
4 0
The least number of each type of bag that could be used if each bag is completely filled would be 16 large bags and 2 small bags.  This is because 16 multiplied by 9 is 144, and 2 multiplied by 6 would be 12 and 12+144=156
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Allie has two cars- a truck and a sedan. Last week, she used 3 gallons of gas in the truck and 5 gallons of gas in the sedan and
gavmur [86]

Answer:

sedan = 26 miles/gallon

truck = 17 miles/gallon

Step-by-step explanation:

try to write the text in mathematical format as a system of equations

t=truck s=sedan

\left \{ {{3t+5s=181} \atop {7t+6s=275}} \right.

first equation can be written as

t= (181-5s)/3

we can use it in the second equation and rewrite it as

7[(181-5s)/3]+6s = 275

7(181/3 -5/3s) + 6s = 275

1267/3 - 35/3s + 6s = 275

-35/3s + 18/3s = 275-1267/3

-35/3s + 18/3s = 825/3 - 1267/3

-35s + 18s = 825 -1267

-17s = -442     s = 442/17 = 26 sedan has an average of 26 miles/gallon

we use this value of s in the first equation

3t + 5*26=181      3t=181-130   t= 51/3 = 17 truck has an average of 17 miles/gallon

5 0
3 years ago
If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?
Maslowich

Answer: 7.958 \frac{rad}{s}

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed \omega of the object in revolutions per minute (rpm) is:

\omega=76 rpm=76 \frac{rev}{min} (1)

However, we have to convert this to \frac{rad}{s}, since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

\omega=\frac{2 \pi}{T}  (2)

Where:

2 \pi=360\° is the value of one revolution

T=1 min=60 s is the period of rotation

With this information in mind, let's make the conversion:

\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev} (3)

\omega=7.958 \frac{rad}{s} (4) This is the wind turbine angular speed

3 0
3 years ago
Joshua quick made a deposit to his checking and recieved $50 in cash. His deposit slip shows a total deposit of $90. If Joshua d
g100num [7]

Answer:

$55 beacause he deposit 50 and 90

7 0
3 years ago
Please need help asap!!
NNADVOKAT [17]
The answer is false, they are parallel not perpendicular
5 0
3 years ago
Find the value of two numbers if their sum is 19 and and their difference is 5
sergij07 [2.7K]

Answer:

7 and 12

Step-by-step explanation:

x - y = 5

y = (5+x)

x+ (5+x) = 19

2x +5 = 19

2x = 14

x = 7

           19-7 = 12

12 +7  = 19

12-7 = 5

7 0
3 years ago
Read 2 more answers
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