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andrew-mc [135]
3 years ago
13

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg) and gas costs $3.02 per gallon. Let n represent the number o

f miles Claudia has traveled since she started driving. Suppose Claudia has traveled 216 miles.
How many gallons of gasoline has Jacqueline used since she started driving?
What is the cost of the gasoline that Jacqueline has used since she started driving?
Write an expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving.
Write an expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving.
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Let n represent the number of miles Claudia has traveled since she started driving.

Claudia goes on a road trip; her car gets 24 miles per gallon (mpg).

The expression in terms of n that represents the number of gallons of gasoline Jacqueline has used since she started driving would be

n/24

Gas costs $3.02 per gallon. The expression in terms of n that represents the cost of the gasoline that Jacqueline has used since she started driving would be

n/24 × 3.02 = 3.02n/24

Suppose Claudia has traveled 216 miles, then the number of gallons of gasoline that Jacqueline has used since she started driving is

216 /24 = 9 gallons of gasoline.

The cost of the gasoline that Jacqueline used since she started driving is

(3.02 × 216)/24 = $27.18

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ICE Princess25 [194]

Given:

The equations of parabolas in the options.

To find:

The steepest parabola.

Solution:

We know that, if a parabola is defined as

(y-k)=n(x-h)^2

Then, the greater absolute value of n, the steeper the parabola.

It can be written as

\dfrac{1}{n}(y-k)=(x-h)^2

p(y-k)=(x-h)^2

where p=\dfrac{1}{n}, the smaller absolute value of p, the steeper the parabola.

Now, find the value of |p| for eac equation

For option A, |-0.5|=0.5

For option B, |5|=5

For option C, |8|=8

For option D, |-10|=10

Since, the equation is option A has smallest value of |p|, therefore, the equation (x+2)^2=-0.5(y+3) represents the steepest parabola.

Hence, the correct option is A.

7 0
2 years ago
Mr. Andrews is saving to buy a violin that costs $1,000. He has already saved $450 and decides to put all of this money into a n
Korolek [52]

Answer:

1000=450 (1+ 0.06) y

                         4

Step-by-step explanation:

In the paranthesis where it says 0.06 and then 4 at the bottom its supposed to be a fraction btw

7 0
3 years ago
During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60 ÷ 5 in this problem *
sergeinik [125]

Answer:

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

Step-by-step explanation:

From the question we are told that

60 children in equal sized groups

Generally interpreting 60\div 5 can be mathematically represented as

a)

    x=\frac{60}{5}

    x=12 groups

This will give 5 Students each in 12 different equally sized groups

b)

    x'=\frac{60}{12}

    x'=5groups

This also shows that students can grouped in equal groups of 12 in 5 places

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
X^4 − 3x^2 − 90 x= -3
Ahat [919]

Answer:

-36

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x⁴ - 3x² - 90

x = -3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  (-3)⁴ - 3(-3)² - 90
  2. Exponents:                                                                                                        81 - 3(9) - 90
  3. Multiply:                                                                                                             81 - 27 - 90
  4. Subtract:                                                                                                            54 - 90
  5. Subtract:                                                                                                            -36
8 0
3 years ago
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