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lord [1]
2 years ago
9

The table represents a bicycle rental cost in dollars as a

Mathematics
1 answer:
Ainat [17]2 years ago
3 0

Answer:

  (a)  This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

Step-by-step explanation:

The equation of direct variation is ...

  y = kx

for some constant k. Here, we have x in hours and y in dollars. We can see if k is constant for the values given in the table.

__

<h3>constant of variation</h3>

Solving the direct variation formula for k, we have ...

  k = y/x

Using the table values, we can see if this is constant:

  k = dollars/hour = 10/2 = 20/4 = 30/6 = 40/8 = 5

The "rate of change" is constant at $5 per hour.

The function represents direct variation because it passes through the origin and has a constant rate of change of $5 per hour.

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Please help! I will give brainly
Shkiper50 [21]
15x12=180
180$ simple unless u have a different way to do it
3 0
3 years ago
Read 2 more answers
The period of a pendulum is the time the pendulum takes to swing back and forth one full time. The function I = 0.81t^2 relates
kogti [31]

Answer:

b.  t = 10.5 seconds.

Step-by-step explanation:

l = 0.81t^2

90 = 0.81t^2

t^2 = 90 / 0.81

t^2 = 111

t = 10.5 seconds.

5 0
3 years ago
How to do this problem because it's hard
Elenna [48]
You will need to set up and solve 2 equations:
A) 3 Vans + 10 Buses = 379
B) 14Vans + 13 Buses = 624
Multiply equation A by -14
A) -42 Vans -140 Buses = -5,306  then Multiply equation B by 3
B) 42 Vans + 39 Buses = 1,872
Adding BOTH equations
-101 Buses = -3,434
Each Bus holds 34 Students

Putting this into equation A
A) 3 Vans + 10 Buses = 379
A) 3 Vans + 10 * 34 = 379
A) 3 Vans +340 = 379
A) 3 Vans = 39
Each van = 13 students




4 0
3 years ago
Choose the fraction that has not been reduced to simplest form 19/3810/1921/3415/18
lozanna [386]

19/38 and 15/18

Explanation:

19/38 can be reduced as there is a factor other than 1 that can divide without a remainder. Factor is 19

It can still be reduced because 19*2 = 38

19/38 = 1/2

10/19 cannot be reduced as there is no factor other than one to divide without a remainder

21/34 cannot be reduced as there is no factor other than one to divide without a remainder

15/18 can be reduced as there is a factor other than 1 that can divide without a remainder.

The factor is 3

15/18 = 5/6

Fraction that has not been reduced to simplest form are 19/38 and 15/18

5 0
1 year ago
3. Complete the proof below.<br><br><br> Help please!!!
baherus [9]

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    {}                                               Reason

1. \overline {HI} ║ \overline {KL}, J is the midpoint of \overline {HL} {}         1. Given

2. ∠IHJ ≅ ∠JLK{}                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   {}                                         3. Vertically opposite angles

4.  \overline {HJ} ≅ \overline {JL}   {}                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  {}                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines \overline {HI} and \overline {KL}, by the transversal \overline {HL} are equal

Vertically opposite angles formed by the crossing of two straight lines \overline {IK} and \overline {HL} are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK{} in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent \overline {HJ} ≅ \overline {JL}, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.

5 0
3 years ago
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