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Sphinxa [80]
3 years ago
7

On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d

istributed. Eighty percent of bike tires last at most how long if used every day?
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0

Answer:

We conclude that eighty percent of bike tires last at most 14.4 months.

Step-by-step explanation:

We know that a pair of bike tires can last 18 months if used every day.

We calculate how much eighty percent of the tire will last in months.

We have the following proportion:

18:100\%=x:80\%\\\\100x=18\cdot 80\\\\100x=1440\\\\x=\frac{1440}{100}\\\\x=14.4

We conclude that eighty percent of bike tires last at most 14.4 months.

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What is the length of x
Nat2105 [25]

Answer:

10 is your answer

Step-by-step explanation:

Note that the side given to us has a measurement of 5 for one of the legs of the isosceles.

This means that the <em>1</em> side on the 30-60-90 triangle has a measurement of 5.

Now, note the measurements of the triangle sides for a 30-60-90 triangle. They measure at: 1 , √3 , 2.

the side 1 is given to us, at 5. You are solving for the hypothenuse (2). Multiply 2 to the side 1

5 * 2 = 10

10 is your answer

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5 0
3 years ago
What does a equal -5(6a+21)=-15
borishaifa [10]
Step 1 : Simplify both sides
-5(6a+21)=-15
(-5)(6a)+(-5)(21)=-15
-30a-105=-15
Step 2 : Add 105 to both sides
-30a-105+105=-15+105
-30a=90
Step 3 : Divide both sides by -30
-30a=90
—————
-30 -30

a = -3
7 0
3 years ago
Discussion for Applications of Linear Systems
Lostsunrise [7]

Step-by-step explanation:

There are certain methods for solving a system of equations. Some of which are:

  • Substitution Method
  • Elimination Method
  • Graphing Method

<em>Substitution Method</em>

Substitution method to solve a system of equations is suitable if a variable of a any equation seems isolated or could comfortably be isolated without any ration/fraction resulting.

For example, for the following system of equations

x - 2y = 11....[A]

x = 5 - y....[B]

substituting the value of x = 5 - y from equation [B] into equation [A], so that

(5 - y) - 2y = 11

5 - y - 2y = 11

3y = -6

y = -2

<em>Elimination Method</em>

Elimination method to solve a system of equations is suitable if both equation are in standard form, and just adding or subtracting the equations to determine an equation in one variable.

For example, for the following system of equations

2x + 7y = -5....[C]

5x - 7y = 12....[D]

Adding Equation [C] and Equation [D].

7x + 0 = 7

x = 1

<em>Graphing Method</em>

Sometimes graphing method may be used to solve the system of the equation and visualize the solution.

For example,

y = -2....[E]

y = 3x + 1....[F]

The solution for this system of equation is the point of intersection of both the lines, which is shown in attached figure. The point of intersection is (-1, -2).

Hence, the solution of this system of equations is (-1, -2), as shown in attached figure.

<em>Keywords: system of equations, elimination method, substitution method, graphing method</em>

<em>Learn more about solution of system of equations from brainly.com/question/2643311</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
Adventure Park built a new sandbox that is 3 m long, 2 m wide,and 1 m high. Sand for the sandbox costs $4.50 per cubic meter
leonid [27]

Answer:

the total cost will be $27.00

6 0
3 years ago
How do you show where an inequality is true on a number line?
Mashutka [201]

Answer:

When the two values are different

Step-by-step explanation:

Like in an inequality equation.

For example:

4+5x\geq 30

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful

Hope this helps

6 0
2 years ago
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