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Rasek [7]
3 years ago
6

The cost to rent a car at one agency is $24.50 per day plus an additional $15.99 fee for insurance. At a different agency, the c

ost to rent a car is $27.50 per day, but the insurance is only an additional $3.99 fee. Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?
Mathematics
1 answer:
Lena [83]3 years ago
3 0

Answer:

d=4

Step-by-step explanation:

Agency 1:

Total cost of renting a car=24.50d + 15.99

Agency 2:

Total cost of renting a car=27.50d + 3.99

Where, d=No. of days of renting the car

Which equation could be used to find the number of days, d, at which the rental fee is the same for both agencies?

The equation is by equating agency 1 and agency 2 equation

24.50d + 15.99 = 27.50d + 3.99

Collect like terms

24.50d - 27.50d = 3.99 - 15.99

-3d = -12

Divide both sides by -3

d= -12 / -3

=4

d=4

Check

Agency 1:

24.50d + 15.99

= 24.50(4) + 15.99

= 98 + 15.99

= 113.99

Agency 2:

27.50d + 3.99

= 27.50(4) + 3.99

= 110 + 3.99

= 133.99

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Which function is the inverse of f(x) = -5x- 4?
almond37 [142]

Answer:

Inverse of  - 5 x - 4 = \frac{x + 4}{5}

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

y=- \frac{x + 4}{5}  which is the inverse

3 0
2 years ago
Determine whether the points (–3,–2) and (3,2) are in the solution set of the system of inequalities below. y ≤ ½x + 2 y < –2
lana [24]

Given:

The system of inequalities:

y\leq \dfrac{1}{2}x+2

y

To find:

Whether the points (–3,–2) and (3,2) are in the solution set of the given system of inequalities.

Solution:

A point is in the solution set of the given system of inequalities if it satisfies both inequalities.

Check for the point (-3,-2).

-2\leq \dfrac{1}{2}(-3)+2

-2\leq -1.5+2

-2\leq 0.5

This statement is true.

-2

-2

-2

This statement is also true.

Since the point (-3,-2) satisfies both inequalities, therefore (-3,-2) is in the solution set of the given system of inequalities.

Now, check for the point (3,2).

2

2

2

This statement is false because 2>-9.

Since the point (3,2) does not satisfy the second inequality, therefore (3,2) is not in the solution set of the given system of inequalities.

7 0
3 years ago
A cross country racer records a time of exactly 4 minutes to complete a race that is a distance of 1,000 meters. What is the rac
lions [1.4K]

Answer:

.24 meters/second

Step-by-step explanation:

6 0
3 years ago
Follow the order of operations and evaluate these expressions. 1) 7+3(9-4)^2÷5, 12/3-4+7^2, (7-3)×3^3÷9, 5(7-3)^2÷(6-4)^3-9, 3×(
vovikov84 [41]

The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.

To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.

<h3>What is BODMAS?</h3>

This is the order in which mathematical operations must be executed.
B = Bracket

O = Orders (that is Powers, Indices or roots)

D= Division

M = Multiplication

A = Addition

S = Subtraction

Now lets see how we got 22 from the first set of operations:

<h3>Operation 1 (Example)</h3>

7+3(9-4)^2÷5 =

7+3 (5)^2÷5=

7+3 * 25÷5 =

7+3*5=

7+15=

22

Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:

<h3>

Operation 2</h3>

12/3-4+7^2 = 49

<h3 /><h3>Operation 3</h3>

(7-3)×3^3÷9 = 12

<h3>Operation 4</h3>

5(7-3)^2÷(6-4)^3-9 = 1

<h3>Operation 5</h3>

3×(7-5)^3÷(8÷4)^2-5 = 1

<h3>Operation 6</h3>

9+(3×10)/5×2-12​ = 9

See the link below for more about Mathematical Operations:

brainly.com/question/14133018

6 0
2 years ago
Plz help me with this problem
zvonat [6]

Answer:

what is the problem

Step-by-step explanation:

7 0
3 years ago
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