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siniylev [52]
3 years ago
6

What is the quotient of 11.25 divided by 2.5 ? O A. 0.405 O B. 0.450 O C. 4.050 0 D. 4.500​

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0
The answer is D. 4.500
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angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for th
Rina8888 [55]

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

  • The constant rate of change of the function is; <u>-5.25</u>
  • The two ordered pair used to find the constant rate of change are; <u>(1, 44.75) and (2, 39.5)</u>

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

  • Slope \ or \ constant \ rate \ of \ change  = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

Constant \ rate \ of \ change\  (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}

The constant rate of change for the function that gives the amount remaining in the lunch card is; <u>-5.25</u>

Learn more about the constant rate of change of a function here:

brainly.com/question/10007759

brainly.com/question/16644839

3 0
2 years ago
17. You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $10 from your paycheck
Vanyuwa [196]

Answer:

60 weeks

Step-by-step explanation:

195 = 75 + (10 + 8)w

195 - 75 = (10 + 8)w

120 = (10 + 8)w

120 = (2)w

120 ÷ 2 = w

60 = w

6 0
3 years ago
A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas​
-BARSIC- [3]

Answer:

392 miles in all.

3 0
3 years ago
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
Slav-nsk [51]

Answer:

Step-by-step explanation:5

8 0
2 years ago
Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1
kogti [31]
1. A quadratic equation has the following form: ax²+bx+c.
 
 2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.
 
 3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:
 
 (x-5)(x+3)=0
 
 4. When you apply the distributive property, you obtain:
 
 x²+3x-5x-15=0
 x²-2x-15=0
 
 5. Therefore, the answer is:
 
 x²-2x-15=0
4 0
3 years ago
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