If your car travels 300 miles and uses 10.2 gallons, how many miles per gallon did you get? (Round your answer to three decimal places.)

Answer:

11.5, 20, 28.5

Step-by-step explanation:

Given AP

5th term is 37, then common difference is;

Then the 2nd, 3rd and 4th terms:

Answer:

Height after 9 weeks=19

Height after w weeks=1w+10

Step-by-step explanation:

Height after 9 weeks: 1(9)+10=19

Height after w weeks: 1w+10

Answer:

Because sin 0 and csc 0 establish a relationship where one is reciprocated to the other.

Step-by-step explanation:

Sin 0 is found according to the mathematical expression Sin 0 = y / r.

The csc 0, in turn, is found through the mathematical expression Csc 0 = 1 / sin 0, which is equivalent to y / r.

In both expressions the letter "r" will always be represented by a positive value. This makes Csc 0 and sin 0 have a strong reciprocity and assume the same sign, regardless of the number that represents the "Y". This is because if "y" has a positive value, both sin 0 and csc 0 will have a positive sign, if "Y" will take a negative value, both sin 0 and csc 0 will take negative signs.

Answer:

The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

By finding the y-intercept, you can conclude that the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Answer:

the answer is A.The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Step-by-step explanation:

on edg 2020 :)

Answer:

1 1/3

Step-by-step explanation:

if ashley wants to make HALF of the batch you simply divided 2 2/3 by 2 :)

Answer:

1 1/3 cups

Step-by-step explanation:

If it takes 2 2/3 cups for a whole batch and Ashely only wants half a batch you would have to multiply 2 2/3 by 1/2.

2 2/3 x 1/2= 1 1/3

Answer:

its also again 40

Step-by-step explanation:

its L angle

Answer:

40°

Step-by-step explanation:

∠1 and ∠2 are corresponding angles. Corresponding angles have the same measurement. This means that:

m∠1 = m∠2

Therefore, the measure of ∠2 would be the same as the measure of ∠1.

m∠2 = 40°

Hope this helps.

Answer:

(2,9)

Step-by-step explanation:

The only point that could be included is (2, 9), since any of the other three would preclude the relationship between x and y values from being a function. Notice that 3, 4, and 7 are already connected/associated with other values in the Range of the function.

Answer:

Incorrect

Step-by-step explanation:

Given

[tex]x < -1[/tex]

[tex]x^5 - 2 > x[/tex]

Required

Determine if the conjecture is true

To determine if it's true or not, we have to substitute the values of x in [tex]x^5 - 2 > x[/tex]

In the first inequality, we have that [tex]x < -1[/tex]

This means that the values of x are: -2. -3, -4......

Substitute -2 for x in [tex]x^5 - 2 > x[/tex]

[tex](-2)^5 - 2 > -2[/tex]

[tex]-32 - 2 > -2[/tex]

[tex]-34 > -2[/tex]

Her conjecture is incorrect because the inequality is not true for x = -2

Answer:

4 dozen

Step-by-step explanation:

4 cups flour = 12 cookies    [1 dozen=12]

1 cup of flour= 12/4 cookies

                    =3 cookies

now,

16 cups of flour= 3*16 cookies

                        =48 cookies

                         = 4 dozens          [48/12=4    dozen]

therefore, 4 dozen cookies can be made with 16 cups of flour

Answer: 144

Step-by-step explanation:

Answer:

Hey there!

Left 2 units: (7,-2)

Down 1 unit: (7, -3)

Final answer: (7, -3)

Let me know if this helps :)

Step-by-step explanation:

92007(1)1

since one is on the tens value, always jump to the next number.

It is greater than 5 add one to the next no.

= 9201000, The rest become zeros

Answer:

1/8 ft^3

Step-by-step explanation:

The cube has equal sides. So u square root the base area and u get 1/2 ft. The length, width and height are all 1/2. So u cube the 1/2. Your final answer would be 1/8 ft^3.

V = 1/8 ft³

Area of the base = 1/4 ft² = l²

l² = 1/(2)² ft²

l = 1/2 ft

V = l³

= (1/2 ft)³

= 1/2³ ft³

= 1/8 ft³

Answer:

2.5

Step-by-step explanation:

x=8 x=4

y=5 y=2.5

is ratio problem

If y varies directly with x and y = 5 when x= 8 . then the value of y when x = 4 is 2.5

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

If y varies directly with x and y = 5 when x= 8 . then we need to find y when x = 4

Therefore, y = kx

k = y/x

k = 5/8

Then y = kx

y = (5/8)4

y = 5/2

y = 2.5

Learn more about directly inversely proportional relationship variable here:

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Answer:

90 cups

Step-by-step explanation:

First, let's calculate how much cups of sugar we need for 1 batch of chocolate chip.

45 / 4 = 11.25

So, now we know that we need 11.25 cups of sugar to make 1 batch of chocolate chip.

Therefore, we know we need 90 cups of sugar for 8 batches because

11.25 * 8 = 90

Hope this helps ^^

Answer: 2

Step-by-step explanation:

this is the answer knewton alta said

The Cardinal number of the set of all solutions to x²=100 is 2.

A number system is defined as a system of writing to express numbers.

Cardinal numbers are natural numbers or positive integers. The smallest cardinal number is 1.

We have to find the Cardinal number of the set of all solutions to  x²=100

To find the solution of the equation we have to take square root on both the sides' x=10, -10

The set of solutions will be {-10, 10}

It has two terms. Hence cardinal number is 2.

Hence, the Cardinal number of the set of all solutions to x²=100 is 2.

To learn more on Number system click:

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Answers:

Theoretical probability of 5 or 6 is 1/3

Experimental probability of 5 or 6 is 9/25

======================================================

Explanation:

For the theoretical probability, we ignore the table of values. We assume the cube will land on any of the 6 sides with equal probability.

So landing on any given side has probability 1/6. Landing on 5 or 6 has probability 2*(1/6) = 2/6 = 1/3.

---------

For the experimental probability, we use the table. We see that '5' shows up twice, and '6' shows up seven times. In total, those values show up 2+7 = 9 times out of 25 total.

So that's how I got 9/25.

Answer:

- This study is an example of Experimental study

- The survival time is the dependent variable.

- The type of diet is the independent variable.

Step-by-step explanation:

I) This research study is an experimental study because it makes use of a scientific approach using 2 variables which in this case are organic diet and survival time.

II) Survival time is the dependent variable because it depends on the response of the patients to the organic diet.

III) Type of diet is the independent variable because it doesn't depend on any other factor or variable.

Answer:

Hey there!

8(x-2)+3=-61

8(x-2)=-64

x-2=-8

x=-6

Let  me know if this helps :)

Answer:

X=-6

Step-by-step explanation:

8(x - 2) + 3 = -61

8X-16+3=-61

8X-13=-61

8X=-61+13

8X=48

X=[tex]\frac{48}{8}[/tex]

X=-6

HAVE A NICE DAY £$

ans : A

reason : gradient = 0 and the line does not touch Y axis

i hope this helps :))

The equation of line l if the line is shifted 4 units to the right is x = 4, so option A is correct.

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction. While Euclid's initial definition is now regarded as a line segment, such an extension in both directions is now thought of as a line.

Given:

The lines y and l are given in the graph,

The equation of the line y can be written as shown below,

y = x + c

x = c  (as the y coordinate of the y-axis is zero)

The equation of the line shifted 4 units to the right can be represented as

y = mx + c

Here, the slope is 1 and the intercept is -4 so,

x = 4

Thus, the line l is x = 4.

To know more about the line:

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Answer:

It would cost $90.66

Step-by-step explanation:

because 180 dived by 204 equals 1.13 then times that by 80 and there's your answer

Answer:

it would be 144 miles

Step-by-step explanation:

We start by a ratio of map to mile =      2:18

if we see that the map distance is 16,   16:?

We divide 16 by 2 to get 8, so we enlarge the 2, 8 times, and we get 16

the 18, also has to be enlarged, so 18x8 = 144

Answer:

[tex]=\frac{7}{2}x+30[/tex]

Step-by-step explanation:

So we have the equation:

[tex](\frac{9}{4}x+6)-(-\frac{5}{4}x-24})[/tex]

First, distribute the negative on the right:

[tex]=(\frac{9}{4}x+6)+(\frac{5}{4}x+24})[/tex]

Combine like terms:

[tex]=(\frac{9}{4}x+\frac{5}{4}x})+(6+24)[/tex]

Add:

[tex]=\frac{14}{4}x+30[/tex]

We can reduce our fraction by dividing both layers by 2. Thus:

[tex]=\frac{7}{2}x+30[/tex]

So this would be our answer :)

Given :

Length of parade , [tex]L = 3\ miles=3\times 5280\ miles = 15840\ miles[/tex] .

Breadth of parade , [tex]B=2\times 15=30\ ft[/tex] .

5 people can fit into a [tex]25\ ft^2[/tex] area.

1 mile = 5280 ft .

To Find :

The size of the crowd.

Solution :

Area of parade ,

[tex]A=15840\times 30\ ft^2\\\\A=475200\ ft^2[/tex]

Also , 5 people can fit in [tex]25\ ft^2[/tex] area .

So , number of people fit in A is :

[tex]n = \dfrac{475200\times 5}{25}\\\\n=95040[/tex]

Therefore , 95040 can fit in the parade .

Hence , this the required solution .

Answer:

Step-by-step explanation:

1 - 4 < 3x < 13 - 4

-3 < 3x < 9

-1 < x < 3

Answer" -9/8

by-step explanation:

-5/8 - 1/2 = -9/8

Simplify: -9/8= 1  1/8

Answer:

10/27

Step-by-step explanation:

First of all, to simplify a fraction, you have to find a common factor for each of the numbers. First, we know that 30 and 81 can be divided by 3, which will result in the number 10 and 27. Since 10/27 don't have any common factors, you cannot simplify it further.

Answer:

Step-by-step explanation:

the range of the given function is:

{0, -3, -9, 5, 7}= y

answer is B