Bonnie filled her car’s gas tank. She put in 10 1/2 gallons and paid $15.36.
Write the ratio in fractional form to determine the cost of gasoline per gallon.
What is the cost of gasoline per gallon?

Answer:

B) -6

Step-by-step explanation:

Placing a minus sign outside absolute value bars gives you a negative result For example, –|6| = –6, and –|–6| = –6.

Answer:

The solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3[/tex]

Let us determine all possible solutions for f(x) = 0

[tex]0=4x^2-4x+3[/tex]

switch both sides

[tex]4x^2-4x+3=0[/tex]

subtract 3 from both sides

[tex]4x^2-4x+3-3=0-3[/tex]

simplify

[tex]4x^2-4x=-3[/tex]

Divide both sides by 4

[tex]\frac{4x^2-4x}{4}=\frac{-3}{4}[/tex]

[tex]x^2-x=-\frac{3}{4}[/tex]

Add (-1/2)² to both sides

[tex]x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2[/tex]

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

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

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solving

[tex]x-\frac{1}{2}=\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]                 ∵ [tex]\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}[/tex]

as

[tex]\sqrt{-1}=i[/tex]

so

[tex]x-\frac{1}{2}=i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

also solving

[tex]x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}[/tex]

[tex]x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}[/tex]

Add 1/2 to both sides

[tex]x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

[tex]x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Therefore, the solutions to the quadratic function are:

[tex]x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}[/tex]

Answer:

908.07

Step-by-step explanation:

We know there is nine hundered and eight so lets put that.

908.

Then we know that there are seven hundredths, one number to the right of a decimal is a tenth, so lets go one more to the right. We put seven to the right of the tenth decimal place. Now we have:

908.07

the correct answer is C. 3/8

Answer:

The last one

Step-by-step explanation

x is greater than six so you would go to the right and it has to be an open dot since it can't be the same as 6

Answer:

hello

Step-by-step explanation:

Answer:

C. There is no solution.

Step-by-step explanation:

Similarly to the previous question, you want to substitute one of these equations into the other:

21x + 7y = 41

-3x = y + 6

But first, you need to isolate for a variable. I'm going to isolate for y in the second equation to avoid fractions.

-3x = y + 6

y = -3x - 6

Now that I've done that, I can now plug it into the first equation to solve for x:

21x + 7(-3x - 6) = 41

21x + -21x - 42 = 41

0x = 41

0 ≠ 41

Since 0 ≠ 41, these lines are parallel, which means that there are no solutions.

i can't read it, its too blurry

anyways have a great day/night :)

Answer:

k = y/x

Step-by-step explanation:

1/5, 2/10, 3/15 . . . all equal to 1/5 which is what the value of k is; 'k' stands for constant of proportionality

Answer:

[tex]Volume = 11488.21[/tex]

[tex]Area = 2461.76[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 14\ in[/tex]

Shape: Sphere

Solving (a): The Volume

This is calculated as:

[tex]Volume = \frac{4}{3}\pi r^3[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]

[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]

[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]

[tex]Volume = \frac{34464.64}{3}[/tex]

[tex]Volume = 11488.21[/tex]

Solving (b): The Surface Area

This is calculated as follows:

[tex]Area = 4\pi r^2[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 14 for r

[tex]Area = 4 * 3.14 * 14^2[/tex]

[tex]Area = 4 * 3.14 * 196[/tex]

[tex]Area = 2461.76[/tex]

Answer:

31 1/4 minutes

Step-by-step explanation:

156.25/5= 31.25

Answer:

31.25 minutes

Step-by-step explanation:

156.25 divided by 5 is 31.25

Answer:

c, b, a

Step-by-step explanation:

1. DNE stands for does not exist and is there because of dividing by zero, and when you are dividing by zero like the slope is 4/0 or something the line is vertical.

2. when the slope is 0 it is not sloping at all so it is horizontal.

3. the slope is 9 so it will be a steep uphill slope.

Answer:

80 ft^2

Step-by-step explanation:

The area of a rectangular walkway = L x W = 20 ft x 4ft =  80 ft

Answer:

Step-by-step explanation:

Rational numbers are numbers that are terminating decimals or nonterminating, repeating decimals.

Like 3, -4, 7.166..

Answer:

a

Step-by-step explanation:

5 hours

The total quantity of each unit in the problem is ounces

What is the volume of a can of soda in ounces?

A can of soda weighs about 2 fluid ounces and in pack of soda, there are 2 cans of soda, which means that total quantity of each unit in the problem can be determined in ounces.

Six packs is not a unitary measure, because each pack has 12 cans , which means that six packs translate into 72 cans(6 packs*12 cans), also, the can itself is made of ounces, hence, measuring the unit of soda in cans is not appropriate where each can is about 2 ounces

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Let's simplify step-by-step.

2(x+7)+3(x+1)

Distribute:

=(2)(x)+(2)(7)+(3)(x)+(3)(1)

=2x+14+3x+3

Combine Like Terms:

=2x+14+3x+3

=(2x+3x)+(14+3)

=5x+17

your answer is 5x+17

Answer:

$104

Step-by-step explanation:

First find how much 1 ticket costs

65/5= 13

Times that by 8

8x13=104

Answer:The correct answer is 16

Step-by-step explanation:

4^2= 16

16-6/2+3

16-3+3

13+3=16

The chances he chooses the 3 specific marbles he was told to find is 1/20.

It should be noted that there are 60 marbles and he wants to find 3.

In this case, he poured out 20. Therefore, his chances of picking the three marbles will be 1 out of 20.

Therefore, the chances will be 1/20.

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Answer:

C

Step-by-step explanation:

If u form a C around the origin point, u will know the order.

Answer:

Quadrant 3

Step-by-step explanation:

The quadrants go from:

1                           2

3                          4

As given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is  sin A = 3/5.

As given in the question,

In triangle ABC,

∠C  = 90°

Side a is opposite to angle A

c is the hypotenuse opposite to angle C

a = 6

c = 10

sin A = ( opposite side) / Hypotenuse

⇒sin A = a/c

⇒sin A = 6/10

⇒sin A = 3/5

Therefore, as given triangle ABC, angle C is a right angle if a=6, c=10 then value of trigonometric function is sin A = 3/5.

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Answer: Yes please tell us the question.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

5 singles

Step-by-step explanation:

5 $20= 100

2 $20= 40

remainder is 5 singles

Answer:

5 $1 bills.

Step-by-step explanation:

The expression to reflect this problem is:

145 = 20(5) + 20(2) + 1x

145 = 100 + 40 + 1x

145 = 140 + 1x

145 - 140 = 140 + 1x - 140

5 = 1x

5 ÷ 1 = 1x ÷ 1

5 = x

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer: take 20% off

Step-by-step explanation:

the first one is correct because you would be getting 20% off of any purchase.

Assuming both people are pulling in the same direction, the net force on the car is, according to Newton's second law,

600 N + 800 N - 1200 N = (2250 kg) a

Solve for the acceleration a :

200 N = (2250 kg) a

a = (200 N) / (2250 kg)

a ≈ 0.0889 m/s/s

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

An equation is an expression that shows the relationship between two or more variables and numbers.

Let h represent the height of the ball after t seconds, hence:

h(t) = 4 + 30t - 16t²

The maximum height is at h'(t) = 0, hence:

h'(t) = 30 - 32t

-32t + 30 = 0

t = 0.9375 s

h(0.9375) = 4 + 30(0.9375) - 16(0.9375)² = 18.0625 feet

The maximum height of the ball is at 18.0625 feet which occurs at 0.9375 s

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