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devlian [24]
3 years ago
10

Write the slope-intercept form of the equation of the line described. through: (5,2), parallel to y = 3

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

<h3>               y = 2</h3>

Step-by-step explanation:

P=(5,\,2)\quad\implies\quad x_p=5\,,\quad y_p=2

The slope-intercept form the equation of the line:

y = mx + b

Two lines are parallel if they hav the same slope.

no x in given line means m = 0   ⇒   y = b

The line goes through P so:  y_p=b

2 = b

b = 2

so ithe equation of line parallel to given is:

                                                 y = 2

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The maximum amount you can spend for renting a motor scooter is $50. The rental fee is $12 and the cost per hour is $9.50. Solve
uranmaximum [27]

The maximum number of hours for which you can rent the scooter is: 4 hours

<h3>Cost of renting;</h3>

According to the question;

  • The maximum amount you can spend for renting a motor scooter is $50
  • The rental fee is $12 and the cost per hour is $9.50.

The inequality to determine the maximum number of hours you can rent the scooter is;

  • $12 + $9.50h <= $50

Solving the inequality, we have;

  • $9.50h <= $38

h <= 4hours.

Read more on cost of renting;

brainly.com/question/10563785

5 0
2 years ago
Triangle ABC is translated according to the rule (x, y) = (x+2y-S). If the coordinates of the pre-image of point B are
Liula [17]
The coordinates of b is 1.9
7 0
3 years ago
you plant 15 tulip bulbs and 10 of them grow into flowers to bloom. If you plant 21 more re tulips bulbs, predict how many of th
harina [27]

Answer:

14 more flower would bloom if 21 more tulip bulb is planted.

Step-by-step explanation:

Given ratio for tulip bulbs and flowers is 15:10.

Now, finding number of flower to bloom if 21 tulip bulb are planted.

Assume if 21 tulip bulbs are planted then number of flower would bloom be"x"

ratio given: \frac{Tulip\ bulbs}{ Flower} = \frac{15}{10} = \frac{21}{x}

Cross multiplying the ratio to get:

⇒x= \frac{21\times 10}{15} = \frac{210}{15}

∴x= 14\ flowers

Hence, 14 flowers would bloom if 21 tulip bulb are planted.

If total tulip bulb is 15+21= 36, then 10+14= 24\ flowers would bloom.

5 0
3 years ago
I need help with this ASAP and can you explain so i can understand?!
Elanso [62]

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

We\:have\\x+y=600\\x=600-y

Put in eq(2)

6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

3 0
3 years ago
Read 2 more answers
Dominick ate 1/ 4 of an 8 slice pizza how many slices did he eat.
lana66690 [7]
2 slices

If you take the 1/4, and the 8 (which can be re written as 8/1), and multiply them together, you get two.

1/4*8/1=2
3 0
2 years ago
Read 2 more answers
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