A car uses 4 gallons of gasoline per hour on the highway at a certain speed. The owner filled up the 30 gallon tank in preparation for a trip. Which of the following represents the number of gallons g left in the tank after h hours of driving?

Answer:

10.4 miles

Step-by-step explanation:

convert 30% to a decimal 0.3

Then multiply 8×0.3=2.4

Now you have to add 2.4 to 8 because it is 39% more

Answer: y = 1/4x - 4

Step-by-step explanation: write it in slope intercept form y = mx + b

As you said, we can solve this system for y by using substitution.

[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]

Now, using what we got for y, we plug it into one of the original equations to solve for x.

[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]

Now we have the solution of this system.

[tex](4, 5)[/tex]

For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,

x=2y-6

y=3x-7

Solve the above equations by substitution method,

x=2(3x-7)-6

x = 6x -14 - 6

6x - x = 20

5x = 20

x = 4

The value of y will be calculated as,

y=3x-7

y = ( 3 x 4) - 7

y = 12 - 7

y = 5

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Answer:

The answer is b and d

Step-by-step explanation:

The other answers are wrong.

Therefore b and d are correct.

Hope you get it right and this helps!

Answer:

5

Step-by-step explanation:

1 1/4 x 4

(1 x 4) + 1 = 5/4

5/4 x 4/1 = 20/4

20/4 = 5/1

Hope this helped.

Answer:

true

Step-by-step explanation:

it's true, good luck :)

Answer: relatable

Step-by-step explanation: Plz give brainliest

u should dial 911 on ur phone

Answer: I think it would be 1/52

Step-by-step explanation:

Answer:

(x+20) + (x-9)

Step-by-step explanation:

Answer: pls see photo

Step-by-step explanation:

Answer:

1 2 and 3

Step-by-step explanation:

Hopefully this helps

Answer:

D) they gave the world an example of ideal beauty.

Step-by-step explanation:

In the passage, it talks about the Parthenon being made out of beautiful marble, with the first light of morning. However, the first light of morning is not the answer, as that is just a detail in the passage.

Step-by-step explanation:

It is

4,000,000+400,000+8000+700+3

{60°, 300°}

Using the half angle identity:

[tex]\sin\left(\frac{x}{2}\right)+\cos\left(x\right)-1=0\\\sin\left(\frac{x}{2}\right)+1-2\sin^{2}\left(\frac{x}{2}\right)-1=0\\\sin\left(\frac{x}{2}\right)-2\sin^{2}\left(\frac{x}{2}\right)=0\\\sin\left(\frac{x}{2}\right)\left(1-2\sin\left(\frac{x}{2}\right)\right)=0\\[/tex]

Using zero product rule:

[tex]\sin\left(\frac{x}{2}\right)=0,\frac{1}{2}\\x=\frac{x}{2}=0,30,150,180\\x=0,60,300,360[/tex]

Since, 0° ≤ x < 360°, so, x=60,300

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The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

It is the mathematical function that should be denoted by f(x)=\exp or [tex]e^{x}[/tex]. It defined the positive valued function with respect to the real variable. Also, it could be extended to the numbers that are complex or could be general to the other maths objects.

hence, The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

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Answer:because 6, 10, and 5 equal 21

Adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.

Given that, adding 6, 10, and 5 to a number the same as adding 21 to that number.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the unknown number be x.

Add 6, 10, and 5 to x, we get x+6+10+5 = x+21

Add 21 to x = x+21

So equation is x+21 = x+21

Therefore, adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.

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Answer:

(1/3)(3x+12)

Step-by-step explanation:

1/3

times (3x+12)

3x+12 will be three times the number x + 12

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Answer:

dont understand you if i did i would have helped

Step-by-step explanation:

Answer:

19 is the answer.

You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,

4+10+5=19

So the coffee shop sells 19 different types of drinks.

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Answer:

supplementary

vertical angles

sub

Step-by-step explanation:

The missing reasons for the given two column proof are respectively;

Reason 2; Definition of Supplementary angles

Reason 3; Substitution Property of Equality

Reason 4;Subtraction Property of Equality

From the two column proof, we are given that;

m∠2 = m∠3

Now, for m∠1 + m∠2 = 180°, we see that m∠1 and m∠2 are on a straight line and we know that angles on a straight line sum up to 180°. Thus, the reason is because they are supplementary angles.

Similarly, m∠3 and m∠4 are on a straight line and as such;

m∠3 + m∠4 = 180°

m∠1 + m∠2 = m∠3 + m∠4. This is true because of substitution property of equality.

Lastly, since m∠2 = m∠3, then it means that they will cancel out in the statement 3 and as such we now have;

m∠1 = m∠4. The reason is subtraction property of equality

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Answer:

f(x) = 5(4)^x is the correct answer

Answer:

9

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

he gave away 9 (20 x (3/7) =9) so 21-9=12