Nelda drove 315 kilometers and used 35 liters of gasoline. Her car averaged how many kilometers per liter of gas?​

Answer:

A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}

While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.

1)  The weight of bags of apples, with 10 apples in each bag.

Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.

2) The number of times required for a modem to dial an internet provider before connecting.

Same as before, here we can have only a whole number of attempts, so this set is discrete.

3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.

Here we will have an average of 10 integer numbers:

[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]

so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.

4)  A pair of dice is rolled, and the sum to appear on the dice is recorded.

Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.

9514 1404 393

Answer:

  x -y = -5

  3x +y = -11

Step-by-step explanation:

We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

 y -1 = +1(x +4)

  y -1 = -3(x +4)

We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.

First equation:

  y -1 = x +4 . . . . . . eliminate parentheses

  -5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant

  x - y = -5 . . . . . . standard form

Second equation:

  y -1 = -3x -12 . . . . eliminate parentheses

  3x +y = -11 . . . . . . add 3x+1 to both sides

__

A system of equations with solution (-4, 1) is ...

Answer:

7 1/2, 7.5 .

Step-by-step explanation:

just trust me

(3 3/4) × (2 2/9)

= 15/4 × 20/9

= 300/36

= 25/3

= 8 1/3

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

Answer:

We don't have sufficient evidence to support the claim

Step-by-step explanation:

Null hypothesis:

[tex]H_0: p = 0.276[/tex]

Alternate hypothesis:

[tex]H_1: p < 0.276[/tex]

The P-value is 0.3064

0.3064 probability of finding a sample proportion lower than the one found.

The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.

Answer:

B. 1 unit

Step-by-step explanation:

the circumference of a circle is

Cc = 2×pi×r

r = radius = diameter / 2

now we need to find the diameter (= 2×r) of a circle with the circumference of pi.

=>

pi = 2×pi×r

1 = 2×r = diameter

so, the diameter is 1 unit.

Answer:

b. (4,14)

Step-by-step explanation:

Juan earns $7 per hour at his job.

This means that the ordered pairs showing his earnings y in x hours, (x,y), have the following format:

(x,7x).

Then, the ordered pairs are:

(1,7)

(2,14)

(3,21)

(4,28)

...

Thus, the ordered pair (4,14) would not appear on the graphic.

Answer:

180-35=145

x=145

*I did not use 180 because the number on the other side is 180 i used it because a straight angle is equal to 180*

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

When you get two lines crossing like this, and one of them is given as in the diagram, then the other one which shares a common ray with it, is the supplement to the given angle.

x = 180 - 35

x = 145.

Answer:

115

Step-by-step explanation:

There were 115 adult tickets were sold.

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.

Given that, the number of tickets sold was 210. The ratio Number of adult tickets: Number of student tickets was 23:19.

Let the number of tickets sold for adults be 23x and for students be 19x

Therefore, 23x+19x = 210

42x = 210

x = 210/42

x = 5

So,  Number of adult tickets = 5x23 = 115

Hence, There were 115 adult tickets were sold.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

Answer:

14

Step-by-step explanation:

that is the procedure above

Answer and Step-by-step explanation:

The answer would be 2x + 2y.

This is because we combine the x's together and the y's together. This is the simplest form of the expression.

#teamtrees #PAW (Plant And Water)

Answer:

2x+y^2

Step-by-step explanation:

Collect like terms and rewrite

2x+y*y

Answer:

He got 14 right

Step-by-step explanation:

Percent means out of 100

70% means 70/100

We know there were 20 questions

We can write a ratio

70/100 = x /20

Using cross products

70*20 = 100x

1400 = 100x

Divide by 100 on each side

1400/100 = 100x/100

14 =x

He got 14 right

Answer:

I believe he got 14 right and 6 wrong

Step-by-step explanation:

if 10% is 2 questions each question is worth 5 points to make up of 100 (100 divided by 20 = 5) and there are 100 points in the quiz then every 2 right would be 10% count until you get 70% and you got your answer :) please mark brainliest and have a good day

Answer:2019x+-88

Step-by-step explanation: remove the parentheses which leaves you with 32x+1987x+674-88

then collect like therms (all the x's)  - 2019x+674-88

get your answer

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Answer:

B

Step-by-step explanation:

Have a nice day

Answer:

B as well

Step-by-step explanation:

As you can work out the area of rectangle by l ×w

which is 18×36 =648

and you can also work out the area of a segment which is

[tex]\pi \times {r}^{2} \div 2[/tex]

so pi ×18^2÷2 and then add 648 you get 1156.9.

Answer:

3rd

Step-by-step explanation:

i got a 100

Step-by-step explanation:

6miles= 9656.064 metres

Answer:

The answer is 9656.064 meters.

9514 1404 393

Answer:

  D.  reals ≥ -4

Step-by-step explanation:

The range is the vertical extent of the graph. Here the graph goes down to -4 and includes all numbers greater than that. The range is ...

  All real numbers greater than or equal to -4

Answer:

108

Step-by-step explanation:

c = b + 56

c + b = 160

Substitute for c

(b + 56) + b = 160

2b + 56 = 160

2b = 104

b = 52

c = 52 + 56 = 108

9514 1404 393

Answer:

  √7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides. Let x represent the unknown side. Then we have ...

  x² +9² = (√88)²

  x² +81 = 88

  x² = 7 . . . subtract 81; next, take the (positive) square root

  x = √7 . . . . the third side

9514 1404 393

Answer:

 -1/3

Step-by-step explanation:

∛(-1/27) = ∛((-1/3)³) = -1/3

Answer:

snsjduddiebidjddkddnjdnkdkskidndjndjxdn in dhjsndjsjeidndjdjddixdjdnejd

A  set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

The points on a line always form a linear relation.

Therefore, consider the line y = x.

The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.

Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).

Learn more about linear relations:

https://brainly.com/question/19586594

#SPJ2

Answer:

There is either No Answer or

B See if the computer or your maker will take B, but the real answer is that there is no answer.

Step-by-step explanation:

Prime polynomials cannot be factored.

x^2 + 4 can't be factored.

x^2 - 4 can be factored and is not prime

x^2 - 4 = (x + 2)(x - 2)

A) is not prime

3x^2(x + 1) - 2(x + 1)       x + 1 is a common factor

(3x^2 - 2)(x + 1)

B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is        (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.

C) 3x^2(x + 1) - 2(x + 1)   x + 1 is a common factor. C is not the answer.

D D is done the same way that A and C are done.

4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.

So the answer might be B. It doesn't look like it factors the same way as the other three

Answer: D. 2x4+x3–x+2 is prime

Step-by-step explanation:

A prime polynomial is a polynomial that can't be factored. Hope I helped

9514 1404 393

Answer:

Step-by-step explanation:

(a) For numbers in word form, the word "and" is usually used to signify the location of the decimal point. The number left of the decimal point is "three", and the number right of the decimal point is "nine hundred four thousandths". Then the number in word form is ...

  "three and nine hundred four thousandths"

__

(b) The numbers in the boxes are the respective place value multipliers of the digits. The units (ones) place is where the 3 is located. Each digit to the right has a place value multiplier that is 1/10 of that to its left.

   [tex]3.904=3\times\boxed{1}+9\times\boxed{.1}+0\times\boxed{.01}+4\times\boxed{.001}[/tex]

We have shown the numbers in standard form, but it would also be mathematically correct to use fractional or exponential form. For example, 0.1 = 1/10 = 10^-1. (We don't know what form your computer expects.)

Step-by-step explanation:

51 and 51

maybe

Impossible

Hope this helps! :)

Answer:

Impossible

Step-by-step explanation:

Based on the Inequality Theorem, in any triangle, the sum of any two sides will be larger than the length of the thrid side. If the side lengths do not follow this rule, then that means that you can not create a triangle with such side lengths. In our case, the sum of two sides with lengths 1 and 8 is 1 + 8 = 9 and 9 is not greater than the length of the third side which is also 9. Therefore, it is impossible to build a triangle with such lengths.

[tex] \underbrace{ \huge \mathcal{Answer }}[/tex]

The Given Trapezoid is divided into three equal triangles, Therefore, Area of Trapezoid is :

[tex] \mathrm{✌TeeNForeveR✌}[/tex]