Savannah filled
up
her car with gas before embarking on a road trip across the
country. The car uses 1.5 gallons of gas for every hour driven and the capacity of the
gas tank is 15 gallons. Make a table of values and then write an equation for G, in
terms of t, representing the number of gallons of gas remaining in Savannah's gas
tank after t hours of driving.
Number of Hours Driven Number of Gallons Remaining in the Tank
0
1
llll
2
3

Answer:

8:25 am

Step-by-step explanation:

Answer:

A. 13.33

b.15

Step-by-step explanation:

Answer:

The hypothesis of the conditional is "A number is odd".

Step-by-step explanation:

The statement can be represented by the following proposition:

[tex]P \implies Q[/tex] (Eq. 1)

Where:

[tex]P[/tex] is the hypothesis of the proposition.

[tex]Q[/tex] is the conclusion of the proposition.

[tex]\implies[/tex] - Binary connector, which means "If...., then...."

In this case, we present what each propostion represents:

P = A number is odd.

Q = It has a remainder of 1 when divided by 2.

In consequence, the hypothesis of the conditional is "A number is odd".

Answer:

2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 6y = - 18 ( subtract 3x from both sides )

6y = - 3x - 18 ( divide all terms by 6 )

y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

Slope of the line perpendicular to given line 3x + 6y = –18 is 2

The slope intercept of a line is given : y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or  m₁ *m₂ = -1

Given line is 3x + 6y = –18

Subtract 3x from both sides

⇒ 3x +6y -3x = -3x-18

⇒  6y = -3x-18

⇒ y =(-3/6)x -18 /6 = (-1/2) x -3

comparing it with slope intercept , slope = -1/2

let the slope of line perpendicular to given line is m

then m.(-1/2) = -1

   ⇒ m = 2

∴Slope of the line perpendicular to given line is 2

Also, learn more about the slope intercept form from the link below:

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Answer:

30 ft

Step-by-step explanation:

7.5 + 12.5 + 10 = 30 ft

Answer:

1, 210.

2. 72 minutes.

3. 42 minutes

4. 2 inches.

5. 3 cents.

Step-by-step explanation:

1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.

2.  Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.

3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.

4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.

5. So here you have to find the unit rate. Divide the price by the quantity.

4.86/16.2=0.297530865

Round the number up, which would be 3. So it would be 3 cents

Hope this helps :)

Answer:

To get an overall profit of $100,000, then 3,571 items is needed to be produced

Step-by-step explanation:

Mathematically;

Profit = Revenue - Production cost

In the question, we are told that the profit we are expecting is $100,000

Let the number of items to be produced for sales be x items

Now let’s look at the production cost ;

The production cost will be number of items for sale * production cost = 15 * x = $15x

Now, we need to add the start-up cost to the production cost to get the total amount spent on production;

Mathematically the total amount would be = $25,000 + $15x

Let’s look at the revenue;

The revenue will be selling price of each item * price of each item;

Mathematically, that would be 50 * x = $50x

So therefore;

50x - (25,000 + 15x) = 100,000

50x -25,000 -15x = 100,000

35x = 100,000 + 25,000

35x = 125,000

x = 125,000/35 = 3571.42 which is approximately 3,571 items

Answer:

(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+

Step-by-step explanation:

Answer:

B. x=1+2i or x=1-2i.

Step-by-step explanation:

The equation is given as;

x²-2x+5=0

complete the square method to find value of x as;

x²-2x = -5

x²-2x + 1 = -5 + 1

x²-2x +1 =-4

( x-1 )² = -4

x-1 = ±√-4 ---------where √-1 = i

x-1 =± 2i

So;

x-1 = + 2i

x= 1+2i

or

x= 1-2i

x= 1-2i

Answer:

slope is -2/5

Step-by-step explanation:

use y2–y1/x2–x1

Answer:

-2/5

Step-by-step explanation:

formula: y2-y1/x2-x1=

7-5/-2-3= -2/5

Answer:

-24

Step-by-step explanation:

-1(3^2)+(-15)

  -9+(-15)

      -24

Answer:

-24

Step-by-step explanation:

if n=-1, p=3, and q=-15, then the equation would be -1(3)^2+(-15)

Follow PEMDAS.

-1(3)^2+(-15)

-1x3^2-15

-1x9-15

-9-15

**-24**

hope this helps! : )

Answer:

(DOES NOT BELONG) Is Rational

(DOES NOT BELONG)  Is not Irrational

(DOES NOT BELONG) Is not an integer

(DOES NOT BELONG) Not a Whole

(DOES NOT BELONG) Not Natural

Step-by-step explanation:

This is a fraction with a square root.

Fractions:

Are Not Whole (square root cancels this)

Are Rational BUT since this has a square root, it is not.

Are not natural

Are not integers (Whole numbers that ARE NOT fractions)

So basically from what I have learned, square root cancels literally everything.

L = 10.5 + 2.75

What are the answer choices?

Answer:

The solution for the equation 1,056=b+670

Step-by-step explanation:

Answer:

25/784

Step-by-step explanation:

Answer:

How can i help?

Step-by-step explanation:

Answer:

-4 an -3 11 4 9

Step-by-step explanation:

Answer:

1) reflection across the x-axis

2) 7 units right

3) 2 units down

4) dilation by a scale factor of 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: we can’t see graphs but I can help you if you show me them

Step-by-step explanation:

Answer:

After 5 hours.

35 bacteria cells.

Step-by-step explanation:

Andy’s population is represented by [tex]B=6x+5.[/tex]

Samantha’s population is represented by [tex]B=2^x+3[/tex]

Where B represents the total population given the number of hours x.

We want to find at what hour will their population be the same. We are told to use graphing technology.

Graphing them, we will get the graphs below.

Graphically, their population will be the same where the two graphs intersect.

So, we can see that they intersect at (5, 35).

Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.

And the total number of bacteria at that time will be 35 bacteria cell.

Answer:

c. Identity property

Step-by-step explanation:

edg 2020

Identity property is used in the equation a+bi+0+0i=a+bi.

The identity property of addition says that the sum of 0 and any number is that number only.

We have been given the following equation

a+bi+0+0i=a+bi

when we multiply it with 0 we get 0 and the equation becomes

a+bi=a+bi

It shows the identity property of addition.

Learn more about identity property at https://brainly.com/question/1407048

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Answer:

80

Step-by-step explanation:

Mean simply means the average. To calculate the average of all these numbers, add them all up together and divide that number by how many numbers you added.

A simple equation you can use is:

[tex]\frac{the sum of the terms}{the number of terms}[/tex]

To calculate the mean of the set : 0,100,100,100,100​

= 0 + 100 + 100 + 100 + 100

= 400 / 5

= 80

The mean of the set is 80.

Answer: is there a graph

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

Hope this helps

Answer:

252

Step-by-step explanation:

Answer:

b = (looks to be) -3.5

m = [tex]\frac{1}{2}[/tex]

Type of Slope = Positive, linear

Equation = y = [tex]\frac{1}{2}[/tex]x - 3.5

Answer:

its 8.7× 108 18

Step-by-step explanation:

ye thats basically it solve it now

Answer:

∠6 and ∠7

Step-by-step explanation:

To be complementary, they both in total have to sum 180°, and that mean that they have to form a com pleat and straight line. ;)

The supplementary angles of angle 1 are angles 2 and 3.

      From given figure,

                   [tex]\angle1 +\angle2=180\\\\\angle1 +\angle3=180\\[/tex]

Thus , the supplementary angles of angle 1 are angles 2 and 3.

Find out more information about the supplementary angles here:

https://brainly.com/question/12919120

Answer:

10

Step-by-step explanation:

5x - 17 = 3x + 3 (vertically opposite angles)

5x - 3x = 3 + 17

2x = 20

x = 20/2

x = 10

hope it helps you!