if i drive 118.3 miles and my cars miles to gallon is 26.8 how many times would i have to fill up my tank?

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The given equation is :

here, 5x is on both sides, so they cancel out. hence value of x can't be determined.

so, the equation have no solution.

correct choice is B.) no solution

5x -2 = -2 + 5x

Add 2 to both sides to get 5x = 5x

Because this is true then any value of x will still make the equation true.

This means there are infinite solutions.

Answer: a) infinite solution

Answer:

The area of the rectangle is 0.0875  sq ft.

Step-by-step explanation:

Given that,

The length of the rectangle, L = 0.35 feet

The breadth of the rectangle, B = 1/4 feet

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

\(A=\dfrac{1}{4}\times 0.35\\\\A=0.0875\ ft^2\)

So, the area of the rectangle is 0.0875  sq feet.

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Given:

In ΔGHI, GI is extended through point I to point J.

\(m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ\)

To find:

The measure of angle GHI.

Step-by-step explanation:

According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.

Using exterior angle theorem, we get

\(m\angle HIJ= m\angle GHI+m\angle IGH\)

\((6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ\)

\((6x-5)^\circ=(4x+21)^\circ\)

\(6x-4x=21+5\)

\(2x=26\)

Divide both sides by 2.

\(x=13\)

Now,

\(m\angle GHI=(3x+13)^\circ\)

\(m\angle GHI=(3(13)+13)^\circ\)

\(m\angle GHI=(39+13)^\circ\)

\(m\angle GHI=52^\circ\)

Therefore, the measure of angle GHI is 52 degrees.

The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.

We are given that;

Angles VUW and ZXY are congruent.

Angles UWV and XZP are congruent.

Angles UVW and ZYX are congruent.

Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.

Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .

The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .

Therefore, the triangles UVW and XYZ are similar but not congruent.

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Answer:

B. They are similar, but not congruent

Answer:

Nos puedes ensenar las paginas

ola no ay páginas ?

bueno gracias por los puntos ✨

The coordinates of the y-intercepts is -24

The point where a line crosses the y-axis, or where the value of x equals 0, is known as the y-intercept. By setting x=0 in the line's equation and calculating y, you can determine the y-intercept of a line. Typically, the y-intercept is shown as (0,b), where b is the point's y-coordinate.

To find the coordinates of the y-intercept of the function

f(x) = x² - 10x - 24,

we need to find the value of the function when x = 0,

because the y-intercept occurs at the point where the graph of the function crosses the y-axis,

which is the point where x = 0.

So, we can substitute x = 0 into the function:

f(0) = 0² - 10(0) - 24

     = -24

Therefore, the y-intercept has coordinates (0, -24).

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Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

If the length of HJ is 7 unit then the length of EI is 14 unit.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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Answer:

1\(\frac{5}{6}\) hours (110 minutes).

Step-by-step explanation:

The individual want to code 8 new functions of which most of the functions will take 10 minutes each to create, but the last two 25 minutes.

Thus, 6 of the 8 new functions would take 10 minutes, while two will take 25 minutes. So that;

6 x 10 minutes = 60 minutes

But for the last two;

2 x 25 minutes = 50 minutes

Total time required = (60 + 50) minutes

                                = 110 minutes

                                = 1\(\frac{5}{6}\) hours

The estimated time to complete all 8 functions is 1\(\frac{5}{6}\) hours (110 minutes).

For a line in the form:

In this case, for the line 2x + 10y = 20 with a=2 and b=10 the slope is:

Now, two lines are perpendiculars if the slopes satisfy the following equation:

So, for the line we want the slope is:

Finally, the line pass througth the point (2, 3) with slope m=5, so the equation is:

The equation of the line is y = 5x - 7

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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Answer:

scalene triangle

Picture:

(in attachment)

Answer:

Greater Than -8

Step-by-step explanation:

The open circle means that it is not equal to (where a closed would be)

And the arrow is pointing to numbers that are higher than -8 :)

Answer:

Greater than of equal to -8.

So the last one.

I hope this helps :)

Answer:

see explanation

Step-by-step explanation:

p = x - 3 + (14*29)

substitute 7 for x

p=7-3+(14*29)

p=410

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

Answer:

B,C,E

Step-by-step explanation:

did the assignment on Edge 2020

B. draw an open circle at 100

C. shade all numbers to the right of 100

E. 150 is shaded, so substitute 150 in for the variable to check the graph of the solution

The graph of given inequality is attached below.

To understand more, check below explanation.

Given that, Waseme swam more than 100 laps.

It is represented by inequality shown below.

                      l > 100

The value 100 is not included in above inequality.

So that,  Draw an open circle at 100.

Shade all numbers to the right of 100.

Diagram is attached below.

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Answer:

11/12

Step-by-step explanation:

From the question, we are to pick the false statement

Following the properties of Parallelogram, Kite and Rhombus

The diagonals of a parallelogram bisect each other

The diagonals of kite cross at right angles

The diagonals of a rhombus bisect each other at right angles.

But by the properties of Isosceles trapeziod

The diagonals of an isosceles trapeziod are of equal length

Hence the statement

The diagonals of an isosceles trapezoid are of different lengths

Is FALSE

The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.

To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:

r = √(x² + y²)

θ = tan^⁻1(y/x)

Plugging in the given values of (-√2,1), we get:

r = √((-√2)² + 1²) = √(2 + 1) = √3

θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians

Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:

θ ≈ 2.0344 + π ≈ 5.1779 radians

Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).

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Answer:

-8i + 51

Step-by-step explanation:

(3+5i)(2-9i)

6+10i-18i-45i²

**i² = -1.

6-8i + -45(-1)

= -8i + 51

Answer:

(0,4)

Step-by-step explanation:

Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

Answer:

probability that all of the sprinklers will operate correctly in a fire: 0.0282

Step-by-step explanation:

In order to solve this question we will use Binomial  probability distribution because:

A binomial distribution is a probability of a success or failures outcomes in an  repeated multiple or n times.

Number of outcomes of this distributions are two.

The formula is:

b(x; n, P) = \(C_{n,x}*p^{x} * (1 - p)^{n-x}\)

b = binomial probability  also represented as P(X=x)

x =no of successes

P = probability of a success on a single trial

n = no of trials

\(C_{n,x}\) is calculated as:

\(C_{n,x}\) = n! / x!(n – x)!

        = 10!  / 10!(10-10)!

        = 1

According to given question:

probability of success i.e. p = 0.7 i.e. probability of a sprinkler to activate correctly.

number of trials i.e. n = 10 as number of sprinklers are 10

To find: probability that all of the sprinklers will operate correctly in a fire

X = 10 because we have to find the probability that "all" of the sprinklers will operate correctly and there are 10 sprinklers so all 10 of them

So putting these into the formula:

P(X=x) = \(C_{n,x}*p^{x} * (1 - p)^{n-x}\)

           = C₁₀,₁₀ * 0.7¹⁰ * (1-0.7)¹⁰⁻¹⁰

           =  1 * 0.0282 * (0.3) ⁰

           = 1 * 0.0282 * 1

  P(X=x)        = 0.0282

Answer:

C. \(\frac{1}{x^2}\)

Step-by-step explanation:

Answer:

I can tell it's the answer number 5