Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?

Answer: 15/24

Step-by-step explanation:

A x B = 5/6 x 3/4 = 15/24

Answer:

1. D 2. A

Step-by-step explanation:

please tell me if you need an explanation.

Answer:

Step-by-step explanation:

Given equation

Rewrite in slope-intercept form:

The slope is -2/3 and the y-intercept is 9

Correct answer option is C or third option

Given equation

The bill of $25 is represented as:

Correct option is A or the first option.

Answer:

the answer is A.................

Answer: -1

Step-by-step explanation:

Find the Slope

(0, 2) , (1, 1)

Slope is equal to the change in y over the change in x, or rise over run.

     change in y

m =  _________

     change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called r ise).

     y2 − y1

m = _____

     x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

      1 − (2)

m = _____

      1 − (0)

Simplify.

Simplify the numerator.

       −1

m = ____

     1 − (0)  

Simplify the denominator.

      −1

m = ___

        1

Divide −1 by 1.

m = −1

Answer:

Ok, so the discount is given in a percentage, in this case 10%.  The sale price is going to reflect 10% of the original price minus the discount, so...

Sale $ = original$ - original $ x .10

If we use some algebra, we can reorganize the equation to solve for the original price...

Sale $ = original$ - original $ x .10

Sale $ = original$ (1 - .10)

Sale $ = original$ x .90

original$ = sale$/.90

So now we can plug in our values

original price = 50/.90

original price = 55.55555 = $55.55 to the nearest nickel

Answer:

5/16

sorry if i get it wrong! :(

Answer:

Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

Step-by-step explanation:

Mr Lopez picks up 2 pallets of dog food to deliver to the animal shelter. Each pallet contains 40 bags of dog food, and the dog food weighs 37 1/2 pounds pet bag.

The weight of 1 bag of dog food = [tex]37\frac{1}{2}\text{ pounds }[/tex]

The weight of 40 bags of dog food = [tex]40 \times 37\frac{1}{2} =1500 \text{ pounds }[/tex]

Each pallet weighs = 1500 pounds

2 pallets weighs = 1500×2=3000 pounds.

We know that 2000 pounds = 1 ton

[tex]\frac{3000}{2000} \text{ pounds}=1.5 \text{ tons}[/tex]

Hence, Mr. Lopez delivers 1.5 tons of dog food to the animal shelter.

9514 1404 393

Answer:

  (a)  In triangles APD and BPC; AD = BC

Step-by-step explanation:

We're not concerned with triangle APB, eliminating the last 2 choices.

We're not concerned with sides AP and BP, as they're not sides of the square, eliminating the second choice.

The choice that makes any sense in the proof is ...

  In triangles APD and BPC; AD = BC

Answer:

33.9

Step-by-step explanation:

What function uses the OPPOSITE and the ADJACENT?

tanR=  

adjacent /opposite

​  

=  

70/ 47

tanR=  

70 /47

R=tan  

−1

(  70 /47  )

​  

​

Answer:627.072

Step-by-step explanation:

Answer:

4 workers can do the job in 18 days.

Step-by-step explanation:

The number of days d varies inversely as the number of workers.

We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]

where k is constant of proportionality

We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.

d = 9, w = 8

d = 18, w =?

First we will find value of k when d = 9, w =8

[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]

The value of k, will remain same as it is constant.

We get k = 72.

So, Now we have d = 18, k = 72 and we need to find w

[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]

So, 4 workers can do the job in 18 days.

The expression that represents the solution of y is y = √wz

The triangle represents the given parameter

Also, we can see that the figure combines two right-angled triangles is

By the theorem of the right-angled triangle

w : y = y : z

Express the above ratio as a fraction

So, we have the following equation

w / y = y / z

Cross multiply in the above equation

So, we have

y² = wz

Take the square roots

y = √wz

Hence, the solution of y is y = √wz

Read more about right-angled triangle at

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Answer:

D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom

Step-by-step explanation:

It’s between c and d for me hope this gets you a lil further ahead

Answer:

t=9.40865\approx 9.4 \text{ years}

t=9.40865≈9.4 years

Step-by-step explanation:

Answer:

41 minutes

Step-by-step explanation:

Step one:

given data

Susan purchased a prepaid phone card for $15

let the number of minutes be x

and let the total be y

per minute call cost = 14 cents = $0.14 per minute

Hence the expression for the situation is given as

y= 15-0.14x

Step two:

given that the balance after a call is 9.26

9.26=15-0.14x

solve for x

9.26-15= -0.14x

5.74=0.14x

divide both sides by 0.14

x=5.74/0.14

x=41 minutes

Answer:

that help

Step-by-step explanation:

10h+27+−27=c+−27

10h=c−27

10h10=c−2710

h=110c+−2710

Answer:

h=110c+−2710

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

Answer:

the second one

Step-by-step explanation:

Answer:

x=5

sqrt of 5-4=1

then 1 +x(5)=6

The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:

Start with the given equation: (√x - 4) + x = 6.

Begin by isolating the square root term on one side of the equation. Subtract x from both sides:

(√x - 4) + x - x = 6 - x

√x - 4 = 6 - x

Move the constant term to the right side by adding 4 to both sides:

√x - 4 + 4 = 6 - x + 4

√x = 10 - x

Square both sides of the equation to eliminate the square root:

(√x)² = (10 - x)²

x = (10 - x)²

x = (10 - x)(10 - x)

x = 100 - 10x - 10x + x²

x = 100 - 20x + x²

Rearrange the equation to form a quadratic equation:

x² - 21x + 100 = 0

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:

(x - 4)(x - 25) = 0

Set each factor equal to zero and solve for x:

x - 4 = 0 or x - 25 = 0

Solving for x in each case:

x = 4 or x = 25

Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.

To know more about equation:

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                                                 Table 1

Input (x)               1            3           5            5              9

Output (y)             7           16          19          20           28

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 1, it is clear that:

Therefore, Table 1 represents a function.

                                                Table 2

Input (x)               0.5          7           7            12            15

Output (y)             7           15          10          23           30

We already know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From Table 2, it is clear that:

As the input x = 7 is repeated multiple times, thus, the given table 2 does not represent a function.

Therefore,  Table 2 does not represent a function.

Answer:your mom

Step-by-step explanation:

cause i took it already

Answer:

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

Answer:

4

Step-by-step explanation:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

In this case, check what number replaces the variable for slope, m:

y = mx + b

y = 4x + 5

In this case:

y = y

m = 4

x = x

b = 5

Therefore, 4 is your answer.

~

Hii!

___________________________________________________________

Answer:

Below is all the information you need! ^^

Step-by-step explanation:

Note that the equation that is given to us is in slope intercept form.

The slope intercept formula is y=mx+c, in which.

m=slope

c=y intercept

In the equation y=mx+c, the slope is m.

Similarly, in the equation y=4x+5, the slope is 4.

--

Hope that this helped! Best wishes.

--

Answer: 21x^2 + 44x + 15

Step-by-step explanation:

first, i used the distributive property.

5x x (4 + 7x - 1) + 5 (4 + 7x - 1) - 2x x (4 + 7x - 1)

then, i removed the parentheses.

20x + 35x^2 - 5x + 20 + 35x - 5 - 8x - 14x^2 + 2x

then, i collected the like terms.

44x + 21x^2 + 15

finally, i reordered the terms.

21x^2 + 44x + 15

Answer:

B.

Step-by-step explanation:

Since they are talking about the weight of the box increasing I think (correct me if I am wrong) that the answer would be w.

I hope this helps :)

Answer:

Either 0, 12, or 9 (Possibly)

Step-by-step explanation:

I'm assuming that you forgot to put the x next to 4.5 or 1.5 or that you forgot to put x next to both of them and that =3 means x=3

Case 1 (4.5x - 1.5x, x = 3):

You can simplify this expression because both of the units are the same (x). 4.5x - 1.5x = 3x. Next, you have to plug in 3, which would be 3 * 3 which is 9.

Case 2 (4.5x - 1.5, x = 3):

Plug in 3 and you would get 13.5 (4.5 * 3) - 1.5, which is equal to 12.

Case 3 (4.5 - 1.5x, x = 3):

Plug in 3 and you would get 4.5 - 4.5 (1.5 * 3), and since they are the same, it is equal to 0.

If none of these are the answer or you are asking something else, feel free to comment on this answer

-Hope this helped-

Answer:

1. 4

2. 16

3. 8

Step-by-step explanation:

1. 4^2 / 2^2

4^2 = 16

2^2 = 4

16/4 = 4

2. (8- 4) x 4

8 - 4 = 4

4 x 4 = 16

3. 2^2 + 2^2

2^2 = 4

2^2 = 4

4 + 4 = 8

Hope I helped!

Answer:

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

(8 - 4) x 4 = [tex]4^{2}[/tex]

[tex]2^{2} +2^{2}[/tex] = 8

Step-by-step explanation:

[tex]\frac{4^{2} }{2^{2} } = 4[/tex] because [tex]4^{2} = 16[/tex] and [tex]2^{2}[/tex] = 4. 16/4 is the same as 4.

(8 - 4) x 4 = (4) x 4 = 16. This is the same as [tex]4^{2}[/tex].

[tex]2^{2} +2^{2}[/tex] is the same as 4 + 4, which is 8.

Hope it helps!

Answer:

[tex] \frac{7}{8} \\ = 0.875 \\ = 87.5percent[/tex]

Step-by-step explanation:

To get the decimal we divide: 7÷8=0.875

To get percentage multiply 0.875 by 100 So

0.875×100=87.5%