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iragen [17]
2 years ago
9

The formula s=12at ^2 is used to calculate the distance s travelled by a bike when a=3 and t=10, each correct to the nearest int

eger, calculate the lower bound of the distance s
Mathematics
1 answer:
seraphim [82]2 years ago
8 0

Answer:

Step-by-step explanation:

Given the formula for calculating the distance travelled expressed as;

s=1/2at^2

Given

a = 3

t = 10

Required

lower bound of s

Substitute the given values into the equation;

s=1/2at^2

S = 1/2(3)(10)^2

S = 1/2 * 3 * 100

S = 3 * 50

S = 150

Hence the lower bound of distance S is 150

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What is the largest number of pancakes that Benjamin can afford
aleksklad [387]

Answer:

See explanation

Step-by-step explanation:

Here is the complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50 . Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?

Given:

Cost of chocolate milk = $3.25

Maximum bill that Benjamin wants before tax = $30

Cost of stack of 4 pancakes = $5.50

Let S be the number of stacks of pancakes that Benjamin buys

Solution:

Cost per stack of pancakes = $5.50  

Cost of S number of stacks of pancakes = S*5.50  = 5.50 S

So benjamin will spend money on 1 chocolate milk and S number of stacks of pancakes

Compute the total money spent by Benjamin:

Cost of chocolate milk + cost per stack of pancakes = 3.25 + 5.50 S

Maximum bill that Benjamin wants is $30 So,

The total money should be less than equal to the maximum bill that benjamin wants i.e. less than or equal to 30. So it is represented as:

3.25 + 5.50S ≤ 30  ----- (1)

Now using (1) we can find the largest number of pancakes that  Benjamin can afford :

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25    

subtract 3.25 from 30

5.50S ≤ 26.75

Divide by 5.50

S ≤ 4.863636

S ≤ 4.86

S≤ 4 approx

Since the restaurant only sells pancakes in stacks of 4 pancakes so,

4 stacks = 4 *4 =  16

So the largest number of pancakes that Benjamin can afford are 16.

If we do not round off the the value stacks then we get:

4.86 stacks = 4.86 *4 =  19.44 pancakes

So the largest number of pancakes that Benjamin can afford are 19

3 0
3 years ago
Help me quickly pls<3
Kipish [7]

Answer:

A

Step-by-step explanation:

No others make sense because you can't use multiplication in this problem and well it's hard to explain honestly lol. But I'm almost certain your answer is A

5 0
3 years ago
Tell me the answer please. Give me a short answer and a step-by-step explanation.
worty [1.4K]

Answer:

(-4,16)

Step-by-step explanation:

1/2x+18=5/2+26

1/2x=5/2x+8

-2=8 divided by -2

Equals x=-4

Plug in -4 in one of the equations

1/2(-4)=18= 16

4 0
3 years ago
Read 2 more answers
Please give answer..
Phantasy [73]

Answer:  The correct answer is <em>-x+3y=6</em>

Step-by-step explanation:

<u>Solve for x:</u>

y=1/3x+2

1) Flip the equation:

1/3x+2=y

2) Add -2 to both sides:

1/3x+2+−2=y+−2

1/3x=y−2

3) Divide both sides by 1/3:

(1/3x)/(1/3)=(y−2)/(1/3)

x=3y−6

In standard form (Ax=By=C): -x+3y=6

6 0
1 year ago
The scale of the map is missing.The actual distance from liberty to west quall is 72 miles, and it is 6 inches on the map
krek1111 [17]
72 miles ... 6 inches
x miles = ? ... 1 inch

If you would like to know the scale of the map, you can calculate this using the following steps:

72 * 1 = 6 * x
72 = 6 * x     /6
x = 72 / 6
x = 12 miles

Result: 12 miles represent 1 inch on the map.
4 0
3 years ago
Read 2 more answers
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