A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas will he have pumped into his car on 1/2 of a minute?

Answer:

Step-by-step explanation:

S = 180 × ( n - 2)

To solve for n divide both sides by 180°

That's

Add 2 to both sides in order to isolate n

That's

We have the final answer as

Hope this helps you

Answer:

6 + 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

(3 + [tex]\sqrt{3}[/tex] )(2 + [tex]\sqrt{2}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

3(2 + [tex]\sqrt{2}[/tex] ) + [tex]\sqrt{3}[/tex] (2 + [tex]\sqrt{2}[/tex] ) ← distribute both parenthesis

= 6 + 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{3}[/tex] + [tex]\sqrt{6}[/tex]

Answer:

D,

Step-by-step explanation:

that's because you only factorise when you have a common factor, ax-3b cannot be factorised because they have nothing in common so it is wrong to use x to factorise it. If you want to be sure that it is not factorisable, try expanding it and you'll see that you will not get the same answer.

Answer:

9 7/12

Step-by-step explanation:

1 3/4 + 3 1/3 + 4 1/2

1 + 3 + 4 = 8

8 + 3/4 + 1/3 + 1/2

8 + 9/12 + 4/12 + 6/12

8 + 19/12

8+ 1 7/12

9 + 7/12

9 7/12

Answer:

45, 46, 33, 0, 6

Step-by-step explanation:

Answer:

x-6 = -4

Step-by-step explanation:

3x - 8= -2

Add 8 to each side

3x - 8+8= -2+8

3x = 6

Divide by 3

3x/3 = 6/2

x =2

We want to find x-6

2-6 = -4

Answer: - 4

Step-by-step explanation:

3x - 8 = -2

3x = -2 + 8

3x = 6

x = 6/3

x = 2

so, therefore x - 6 => 2 - 6 = -4

Answer:

A rational number is a number able to be put into a fraction, an irrational number is not able to be. Therefore, when adding the two, the rational and the irrational will be irrational. For example, 2 is a rational number, and 1.8903 is irrational. If you add the two, you will get 3.18903, which is unable to be put into a fraction.

Answer: A. $7.14

Step-by-step explanation:

price × percentage of sales tax=amount of tax

89.25 × 8%=$7.14

Hope this helps!! :)

Please let me know if you have any question

Answer: (-0.5, 4)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

(x1, x2)=(2, -3)

(y1, y2)=(2, 6)

-----------------------------------------------

 [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

=[tex](\frac{2-3}{2} ,\frac{2+6}{2} )[/tex]

=[tex](\frac{-1}{2} ,\frac{8}{2} )[/tex]

=[tex](-0.5, 4)[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

[tex]M=(-\frac{1}{2},4)[/tex]

Step-by-step explanation:

The midpoint formula is given by:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Let (2,2) be x₁ and y₁ and let (-3,6) be x₂ and y₂. Therefore:

[tex]M=(\frac{2+-3}{2},\frac{2+6}{2})[/tex]

Simplify:

[tex]M=(-\frac{1}{2},\frac{8}{2})\\M=(-\frac{1}{2},4)[/tex]

Answer:

19.84 Miles

give or take

Step-by-step explanation:

1 km is .62 miles

.62 x 32 = 19.84

Answer:

19.88 miles

Step-by-step explanation:

Answer:

12 + (1.50 multiplied by x)

Step-by-step explanation:

You have 12 dollars as the base. For every x days (x is the amount of how many days) he'd save $1.50. For one day, he'd save 1.50 plus his 12 dollars. Two days, he'd save 12 + (1.50 x x). Three, it'll be 12 + (1.50 x x) and so on.

I hope this helped. :)

Answer:

a

Step-by-step explanation:

Since we have a negative slope, that means the correlation for the scatter plot also has to be negative.

Since the only scatter plot that has a negative correlation is graph A, a is our answer.

Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

From the first equation we get:

Substitute x in the second equation, find y:

Find x:

Answer:

(2,5) and (5,8)

Step-by-step explanation:

you can just plug in the numbers to get your answer and if two numbers aren't the same then its not a solution

example: (2,5)

5 = 2 + 3

5 = 5

5 does equal 5 making it a solution because it makes sense right?

example: (4,6)

6 = 4 + 3

6 = 7

this isn't a solution because six doesn't equal 7

Answer:

[see below]

Step-by-step explanation:

[tex]y=x+3[/tex]

The ordered pair is a solution.

The ordered pair is not a solution.

The ordered pair is a solution.

[tex]7=3+3\\\\\boxed{7\neq 6}[/tex]

The ordered pair is not a solution.

Hope this helps.

Answer:

10^(-1)

Step-by-step explanation:

Recall that a value that is multiplied by a number that is between 0 and 1 will result in a number that is smaller than the original number.

the first 3 are all greater than 1, hence will result in a greater value if when multiplied with another number.

The last one is 10^(-1) = 0.1

Anything multiplied by 0.1 will result in a value that is 1/10th of the original value.

Hence this is the answer.

Answer:

10/\-1 is correct

Step-by-step explanation:

Answer:

f(3) = 24

Step-by-step explanation:

substitute X for 3.

F(3) = 3 * (2) ^3

= 24

Answer:

[tex]t=\frac{2C}{c1-c2}[/tex]

Step-by-step explanation:

[tex]C=\frac{1}{2}t(c1-c2)\\2(C)=2(\frac{1}{2}t(c1-c2))\\2C=t(c1-c2)\\\frac{2C}{c1-c2}=\frac{t(c1-c2)}{c1-c2}\\t=\frac{2C}{c1-c2}[/tex]

Answer:

[tex]t=\frac{2C}{c_{1}-c_{2}}[/tex]

Step-by-step explanation:

[tex]C=\frac{1}{2}*t(c_{1}-C_{2})\\\\[/tex]

Multiply both sides by 2,

[tex]2*C=2*\frac{1}{2}*t*(c_{1}-c_{2})\\\\2C=t*(c_{1}-c_{2})\\\\\frac{2C}{(c_{1}-c_{2})}=t\\\\\\t=\frac{2C}{c_{1}-c_{2}}[/tex]

Answer:

k=6

Step-by-step explanation:

25=19+k

Subtract 19 from each side

25-19=19-19+k

6 = k

Answer:

k = 6

Explanation:

to find the value of k in the equation provided, you must subtract nineteen from both sides. this will isolate the variable.

25 = 19 + k

25 - 19 = 19 - 19 + k

6 = k

k = 6

therefore, the value of the variable k in 25 = 19 + k is 6.

Answer:112

Step-by-step explanation: Line SW is 180 degrees since it is a straight line. Subtract angle TBU 18 and angle UBW 50 from line SW 180 to get angle SBU which is 112.

Answer:

The number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Step-by-step explanation:

We are given that Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet.

Let the number of ducks Old Mc Donald raises be 'x' and the number of cows Old Mc Donald raises be 'y'.

So, according to the question;

                                   [tex]x+y=100[/tex]

                                    [tex]x=100-y[/tex]  -------------------- [equation 1]

{because one head of a duck and one head of cow}

                                   [tex]2x+4y=354[/tex]

                                   [tex]x+2y=177[/tex]   --------------- [equation 2]

{because there are two feet of a duck and four feet of cow}

Now, putting the value of x in equation 2 we get;

                                  [tex]100-y+2y=177[/tex]

                                  [tex]y=177-100[/tex]

                                    y = 77 cows

Putting this value of y in equation 1 we get;

                                 x = 100 - y

                                 x = 100 - 77 = 23 ducks

Hence, the number of ducks Old Mc Donald raises are 23 and the number of cows Old Mc Donald raises are 77.

Answer:

Step-by-step explanation:

-2x + 5 = 3

-2x = -2

x = 1

Answer:

55

Step-by-step explanation:

98+27+x=180

Answer:

Step-by-step explanation:

x + 98° + 27° = 180

x + 125° = 180°

x = 55°

Answer:

Answer as a fraction. Do not include spaces in your answer.

1st question

-31/15

2nd question

19/40

3rd = Answer as a decimal with four decimal places

0.8333…

4th = fraction

5th =rational

6th =rational

Step-by-step explanation:

edge 2021

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression can be reduced to 0.8333.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be written as shown below,

[tex]2.5 \times 0.\bar3[/tex]

= (25/10) × (1/3)

= 25/30

= 5/6

= 0.8333....

Hence, the given expression can be reduced to 0.8333.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Answer:

17600 people.

Step-by-step explanation:

Given that The parade route will be 1 mile long (5,280 feet are in a mile) and the sidewalks are 10 feet deep.

The area of the parade route will be

5280 × 10 = 52800 ft^2

If the average person takes up 3 square feet of space, then, divide the area by 3. That is,

52800 / 3 = 17600 people.

Therefore, the estimate for the number of people who can attend the parade will be 17600 people.

Answer:

x≤-4

Step-by-step explanation:

There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

8x≤-32

1. Divide both sides by 8

Answer: The average difference of weights of all 48 eggs from mean eight is 0.08.

Step-by-step explanation:

The mean absolute deviation of a data interprets the mean distance between each data point and the mean.

When this distance goes larger it means data has greater variability

Given, 48 large eggs have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces.

It means that the average difference of weights of all 48 eggs from mean eight is 0.08.

Answer:

5/8

Step-by-step explanation:

1 man, 4 women out of 8 people total

Answer: C. domain: {9, 10, 11, 12); range: (22, 32, 41, 30)

Step-by-step explanation:

The data set is:

(9, 22)

(10,32)

(11, 41)

(12, 30).

In the usual notation, the number at the left is the input (belons to the domain) and the number in the right is the output (belongs to the range).

Then the domain would be:

{9, 10, 11, 12}

and the range:

{22, 32, 41, 30}

The correct option is C