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Serjik [45]
3 years ago
11

15) Write an equation in slope-intercept form for the line that is parallel to the given line and passes

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

\displaystyle y = 4x - 1

Step-by-step explanation:

7 = 4[2] + b

8

\displaystyle -1 = b \\ \\ y = 4x - 1

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so 4 remains the way it is.

I am joyous to assist you anytime.

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Need Help! I don't get it
serious [3.7K]
Well hmmm let's say you take the car and go in the city for 60 miles with it, well, the car can do 60 miles per gallon, since you just drove it for 60 miles, you only spent 1 gallon of gasoline then.

that only happens if you drive it for 60 miles, what if you drive it for more, let's do a quick table on that,

\bf \begin{array}{ccll}&#10;miles&cost\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;60&3.6(1)\\\\&#10;&3.6\left( \frac{60}{60} \right)\\\\&#10;120&3.6(2)\\\\&#10;&3.6\left( \frac{120}{60} \right)\\\\&#10;180&3.6(3)\\\\&#10;&3.6\left( \frac{180}{60} \right)&#10;\end{array}

and so on, now let's check if you less than 60 miles,

\bf \begin{array}{ccll}&#10;miles&cost\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;40&3.6\left( \frac{40}{60} \right)\\\\&#10;20&3.6\left( \frac{20}{60} \right)\\\\&#10;10&3.6\left( \frac{10}{60} \right)&#10;\end{array}

so, if you divide the amount of miles driven, by 60, when you have driven it for 120 miles, 120/60 is just 2, and the cost is for 2 gallons, or 3.6 * 2, which is 7.2 bucks, for 180 miles is 180/60 or 3 gallons for 3.6 * 3 bucks, and so on.

now, what if you drive it instead for "m" miles?

\bf \begin{array}{ccll}&#10;miles&cost\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;m&3.6\left( \frac{m}{60} \right)\\\\&#10;\end{array}\implies c=3.6\left( \cfrac{m}{60} \right)\implies c=\cfrac{3.6m}{60}&#10;\\\\\\&#10;c=\cfrac{3.6}{60}m\implies c=0.06m
3 0
3 years ago
Kara is training for a 5 kilometer race. On the first day, she runs 0.75 kilometer What percent of the total distance does she r
svetoff [14.1K]

Answer:15 percent

Step-by-step explanation:

(.75) / 5 = 3/20 = 15/100 = 15%

8 0
3 years ago
Mary has four daughters, and each of her daughters has a brother. How many children does Mary have?
Jet001 [13]

Answer:

um 8??

Step-by-step explanation:

5 0
3 years ago
What is the value of b for b2 = 36/64
Nataly_w [17]
Answer is C: 6/8

solve with square roots
6 0
3 years ago
The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold f
OleMash [197]

Answer:

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Step-by-step explanation:

Cost of tickets

Adults = $6

Teachers = $4

Students = $2

Total tickets sold = 280

Total revenue = $1010

Let

x = number of adults tickets

y = number of teachers tickets

z = number of students tickets

x + y + z = 280

6x + 4y + 2z = 1010

If the number of adult tickets sold was twice the number of teacher tickets

x = 2y

Substitute x=2y into the equations

x + y + z = 280

6x + 4y + 2z = 1010

2y + y + z = 280

6(2y) + 4y + 2z = 1010

3y + z = 280

12y + 4y + 2z = 1010

3y + z = 280 (1)

16y + 2z = 1010 (2)

Multiply (1) by 2

6y + 2z = 560 (3)

16y + 2z = 1010

Subtract (3) from (2)

16y - 6y = 1010 - 560

10y = 450

Divide both sides by 10

y = 450/10

= 45

y = 45

Substitute y=45 into (1)

3y + z = 280

3(45) + z = 280

135 + z = 280

z = 280 - 135

= 145

z = 145

Substitute the values of y and z into

x + y + z = 280

x + 45 + 145 = 280

x + 190 = 280

x = 280 - 190

= 90

x = 90

Therefore,

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

5 0
4 years ago
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